AN EXAMINATION OF THE RELATIONSHIP BETWEEN RAPA NUI AHU AND TOPOGRAPHY USING STRUCTURE FROM MOTION AND GIS by ELIZA PEARCE A THESIS Presented to the Departments of Geography and Environmental Science and the Robert D. Clark Honors College in partial fulfillment of the requirements for the degree of Bachelor of Arts or Science Fall 2015 An Abstract of the Thesis of Eliza Pearce for the degree of Bachelor of Arts in the Departments of Geography and Environmental Science to be taken Fall 2015 Title: An Examination of the Relationship between Rapa Nui Ahu and Topography using Structure from Motion and GIS Associate Professor Mark F onstad Recent studies about Rapa Nui (Easter Island) have shed a new light upon the movement of the island's giant statues ( moai) and platforms ( ahu) showing that they were purposeful projects created by small communities around the island. What remains unclear, however, is the full meaning and purpose of the giant structures created by the ancient Rapanui. A current working theory is that the structures were costly signals to other clans on the island as a way to mark rare fresh water resources. For this study, imagery was collected of the south coast of the island and then used in conjunction with Structure from Motion to create topographic data for the area. Various GIS analyses were then run on different aspects of the landscape around the different types of ahu (those with moai and those without). None of the statistics run on the data acquired from running these analyses indicate any significant difference between the topographic placement of the two types of ahu. This lack of significance shows that topography does was not an influential factor in the placement of these features and whatever factors were involved, they did not have a topographical relationship. This means that other relationships like water sources were perhaps more important for ahu placement. ii iii Acknowledgements I would like to thank my advisors Dr. Mark Fonstad, Dr. Terry Hunt and Dr. Nick Kohler for taking the time to be on my thesis board and advise me during this process. I would especially like to thank Dr. Fonstad for his consultation and help with all the data. An additional thanks needs to be made to Dr. Hunt and Drs. Lipo and Lee from CSULB for accepting me as an undergraduate research assistant on their trip to Rapa Nui in early January 2015. This thesis is meant to tie into their continuing research about Rapa Nui and is based off of data and research conducted on the island. The work I have done would not have been possible without the amazing opportunity they provided me. I would also like to thank my amazing parents, Josie and Ken, who have stood by and supported me throughout my time here at the University of Oregon and in the Clark Honors College. Their help, encouragement, and engagement with all I do has been invaluable. A special thanks to CHC advisor Miriam Rigby for helping me through the logistics of the thesis defense and thank you to thank Reed College for providing their Thesis Template for the inspiration of many elements of this thesis template. It has saved me a lot of grief. iv Table of Contents Part 1: Introduction 1 Purpose 2 Part 2: Background 4 Rapa Nui 4 Geography 4 History and the Conventional Narrative 6 Ahu 12 Costly Signaling and Water 18 Topography 22 Effect of Slope on Walking 23 Visibility in Archeology 25 Part 3: Field Work and Data Analysis Methods 28 Data Collection 28 Structure from Motion and Topography 32 Topography 34 Ground Calibration 37 Processing 38 Errors 45 ArcGIS Processing 47 Ahu and Coastline Identification 49 Batch and Model Data Processing 53 Removing Extraneous Data 57 Elevation and Viewshed Analysis 60 Extracting Slope Data 64 Part 4: Data Analysis and Discussion 67 Normalizing Data 69 The T-Test 73 Discussion 79 Errors 81 Future Research 82 Part 5: Conclusion 84 v Appendix A: Terms 86 Appendix B: Tables 89 Bibliography 110 vi Accompanying Materials I have made all of my data and work files available to Drs. Terry Hunt and Carl Lipo in case any work I have done for this paper may be of use in their future research on Rapa Nui. Copies of my data and files will be kept with them in their Network Attached Storage. vii List of Figures Figure 1: Map of Rapa Nui showing basic topography and the major landmarks 4 Figure 2: Rapa Nui Isolation 6 Figure 2: Classic photo of just the moai heads 11 Figure 3: Moai in Pop Culture 11 Figure 4: Moai standing on an Ahu 12 Figure 5. Image ahu 16 Figure 6. Ahu 17 Figure 7. Image Ahu with Various Iterations 17 Figure 8. The UX5 Drone 31 Figure 9. UX5 Flight Areas 31 Figure 10. Final Checks of the Drone before a Launch 32 Figure 11: Structure from Motion Diagram 33 Figure 12: Camera Angles and Overlap in Photoscan 37 Figure 13. Photoscan Processing: Sparse Point Cloud 41 Figure 14. Photoscan Processing: Dense Point Cloud 41 Figure 15. Photoscan Processing: Wireframe 42 Figure 16. Photoscan Processing: Solid 42 Figure 17. Photoscan Processing: Shaded 43 Figure 18. Photoscan Processing: Texture 43 Figure 19. Photoscan Processing: Orthophoto Output 44 Figure 20. Photoscan Processing: DEM Output 44 Figure 21. South Coast Orthophotos and Ahu Points 51 Figure 22. Identifying “Image Ahu” 52 Figure 23. Identifying “Ahu” 52 Figure 24. Identifying “Ahu?” 53 Figure 25. ModelBuilder Example 57 Figure 26. Removing Extraneous Data Before 59 Figure 27. Removing Extraneous Data After 59 Figure 28. Elevation within 5m of Ahu 63 Figure 29. Visual Raster Output of Observation Points 63 Figure 30. 50m Coast Buffer Isolating Slope Data 65 viii Figure 31. 50m Closest Coast Points Buffer Isolating Slope Data 66 Figure 32. 50m Ahu Buffer Isolating Slope Data 66 Figure 33. Elevation t-Test Results 76 Figure 34. Area Visible by Ahu t-Test Results 76 Figure 35. Distance to Closest Coast Point t-Test Results 77 Figure 36. Slope Surrounding Closest Coast Points t-Test Results 77 Figure 37. Slope Comparison between Image Ahu and Coastline t-Test Results 78 Figure 38. Slope Comparison between Ahu and Coastline t-Test Results 78 Figure 39. Slope around Ahu t-Test Results 79 ix List of Tables Table: Skew Indicators 73 Table 1: Basic Flight Data 89 Table 2: Basic Ahu Data 91 Table 3: Ahu Elevation Data 96 Table 5: Closest Coast Points to Ahu 101 Table 6: Data for Slope within 50m of Closest Coast Points of Ahu 103 Table 7: Slope data for the Whole Coast Within 50m 106 Table 8: Data for Slope within 50m of Ahu 107 Part 1: Introduction In November of 2014, I was selected for an amazing opportunity to travel to the remote island Rapa Nui (Easter Island) as an undergraduate research assistant for Professors Carl Lipo and Christopher Lee from CSU Long Beach (CSULB) and Dean Terry Hunt of the Clark Honors College at the University of Oregon. Thus, I spent the first twenty days of January 2015 on an island in the Pacific helping to conduct research. Carl Lipo and Terry Hunt have been working on Easter Island for several years now and have made some ground-breaking discoveries regarding the movement of the giant stone statues on the island (moai) and the cultural dynamics of the island’s pre-historic people.1 In their continuing research on the Rapa Nui, they have been able to bring out students through Research Experiences for Undergraduate (REU) funding through the National Science Foundation (NSF) to help with various projects. The project I helped the professors work on while on Rapa Nui was collecting areal imagery of the island’s South Coast. This was done via the use of a drone and the result was incredibly high-resolution photos. From these images and structure-from-data technology, three-dimensional reconstructions of the landscape can be created along with composites of all the images that allow information and data to be gleaned regarding the topography of the ground and features upon it. Using this collected data, I was able to search out and identify pre-historic man- made features such as the moai and ahu. Moai are the famous stone statues placed around the island and ahu are long, low platforms made of stone that were built by the 1 Hunt, Lipo. The Statues that Walked. 2011 2 prehistoric Rapanui. Some ahu have moai placed on top of them (image ahu) and there are also others that do not (ahu). While most of the moai are mapped and documented, ahu without associated statues are more likely to be accidentally overlooked from a ground perspective since they can simply look like a pile of stones. It is much easier, however, to identify their unique, long form from aerial photographs. In addition to locating these features, my study focuses on their locational relationship to the topography of the area. Purpose Almost all ahu and finished moai are found close to the coast. While it is sometimes thought that the moai face outwards towards the ocean (as a means of protection and look out), in reality they all face inwards towards the land. This is because rather than warriors or guardians, the statues represent ancestors meant to watch over and be respected by the people.2 For this study, I analyzed the relationship between the locations of ahu with their surrounding topography in order to see if there is a significant relationship between the two; to see if topography was a deciding factor in terms of where the ancient Rapanui decided to place and build these giant architectural feats, whether building locations were chosen randomly along the coastline or not. This is an important and relevant study because not much is known about the spatial reasoning behind why various features are placed where they are. A significant relationship between low topography and anthropogenic features would help support 2 Hunt, Lipo. 2011 3 ideas that the ahu and moai serve additional functionality rather than simply being ancestors to respect. Drs. Hunt and Lipo have a working hypothesis that the statues and platforms relate to freshwater and other resources. Proving coastal access is near these sites, would thus tie my research into further data being collected and studied about coastal freshwater. Lower coastal elevation and slope generally indicate better ocean access, features placed in such locations could have been demarcations or claims to the area and the resources such an area provided. In order to fully analyze and understand this relationship, I asked a few broad questions: How are ahu structures positioned on the landscape? Is there a locational difference between ahu and image ahu structures that denotes a difference in purpose? Are these features near where water resources are more accessible? Are these features in places that make them more visible? These broad questions I later broke down into seven more specific questions related to the tests I was running: 1. Are image ahu at higher elevations than ahu? 2. Do image ahu have a larger viewshed than ahu? 3. Are image ahu closer to the coast than ahu? 4. Is the coastal slope near image ahu less steep than the coastal slope near ahu? 5. Is the coastal slope near image ahu less steep than the general slope of the coast? 6. Is the coastal slope near ahu less steep than the general slope of the coast? 7. Is the ground slope around image ahu steeper than the ground slope around ahu? I used all of these questions to guide my research and methods in examining the relationship between the ahu and topography on Rapa Nui. 4 Part 2: Background Rapa Nui Geography Figure 1: Map of Rapa Nui showing basic topography and the major landmarks Source: http://www.crystalinks.com/easterisland.html Halfway between Chile and Tahiti Located lies the island of Rapa Nui, or as Europeans called when first landing there, Easter Island. Rapa Nui is small, only about 63 square miles, and one of the farthest, most remote reaches of the world; Tahiti is about 2,500mi to the west, Chile about 2,300mi to the east and the closest inhabited land is Pitcairn Island, approximately 1,300 miles away (fig 2).3 Like most islands in 3 "Easter Island Travel Guide." Travel Guide to Easter Island, South Pacific 5 the Pacific, Rapa Nui is volcanic and the three points of its roughly triangular shape consist of the extinct volcanoes whose activity formed the island: Rano Kau, Poike, and Terevaka (fig. 1). The general landscape is that of rolling grassy hills interspersed with rough lava fields and old volcanic craters and parasitic cones. Given the island’s volcanic origins, the island is mainly basalt and andesitic rock as well as some scoria and obsidian. The soil on the island consists mainly of loams and clays.4 Just south of the Tropic of Capricorn, Rapa Nui’s climate is subtropical with an annual average temperature of 68.5°F and some rain falls 140 days out of the year. March to June are the rainiest months and August to December the driest but heavy rainfall, often in squalls, can occur any time during the year.5 While the island sees a good amount of rainfall throughout the year, it is quickly absorbed by the porous volcanic bedrock so the land rarely remains wet. There are also no permanent natural sources of freshwater on the island; no perennial rivers and only two lakes, both standing water and located in the craters of volcanoes, though stagnant water can also collect in lava tubes. Unlike many tropical islands, Rapa Nui has no barrier reef. This leaves the island exposed to the ocean whose rough seas have, over time, created cliffs along much of the shore line. There are three sandy beaches on the island but all are on the two more northern sides of the island. The southern coast has spots where coastal access is easier but these remain rocky. 4 "About Rapa Nui." Easter Island Statue Project Official Website RSS. 5 "Easter Island Travel Guide." 6 Figure 2: Rapa Nui Isolation This image shows Rapa Nui (Easter Island) and its distance to other inhabited lands. The island labelled “Rapa” refers to Rapa Iti not Rapa Nui. Source: http://www.bibliotecapleyades.net/arqueologia/eastern_island/easter01.htm History and the Conventional Narrative Despite the island’s isolation, Rapa Nui is home to some of the most fantastic prehistoric architectural feats known, the moai. There are hundreds of these large statues placed all around the island, with each one carved from a quarry on the side of a volcano called Rano Raraku and then transported, sometimes all the way across the island, until they reached their final permanent destination (fig. 1). The earliest radio carbon dating places initial settlement of Rapa Nui by Polynesians around 1200 CE and Europeans first came in contact with the island in (RapanNui) 7 1722 when the Dutch explorer Jacob Roggeveen stayed for a few days on the island.6 Roggeveen and subsequent explorers and scientists observed the large statues and relatively small number of indigenous people (a few thousand) and wondered how such monumental structures could have been created.7 As the chief pilot of Cpt. Don Felipe González’s 1770 voyage wrote: “That a people lacking machinery and materials for constructing any should be able to raise the crown or headpiece on to a statue of such height causes wonder, and I even think that the stone of which the statues are made is not a product of the island, in which iron, hemp, and stout timber are absolutely unknown. Much remains to be worked out on this subject.”8 The base assumption underlying this and following ideas about the statues, is that ingenious tools and a large population must have been needed to create them. Thus, there must have been must have once been a great, ancient Rapanui civilization which, after having made hundreds of statues, for some reason collapsed consequently when Europeans arrived they encountered the “depleted” population. This in turn has given rise to speculation as to what caused this population collapse. Some look to various aspects of native oral traditions or use pieced bits or evidence while others like go to the extreme to explain moai. The idea that no one knows how the moai were constructed and moved or by whom has resulted in the majority of those uneducated in the subject believing that Easter Island is a bare and desolate place with no people, just statues. The truth, however, is that there has been continuous occupation of the island throughout its 6 Corney; Roggeveen. The Voyage of Captain Don Felipe González. 1908 7 Corney; Roggeveen. The Voyage of Captain Don Felipe González. 1908 8 Corney; Felipe González De Haedo. The Voyage of Captain Don Felipe González. 1908 8 known history, and while its population was diminished due to disease and slaving to a mere 110 people at one point, there are still decedents of the indigenous people living on the island today.9 There is a common misconception among the general public that the Moai are simply large stone heads due to years of their depiction in popular culture as such. This idea has been propagated by the classic stock image from the quarry Rano Raraku (fig. 3), where the statues were carved, as well as their portrayal as simply heads in various media forms, from comics to cartoons to movies (fig. 4). In reality though, the statues are full-bodied and when properly placed, stand upright and erect (fig. 5). While there have been many different narratives regarding the island’s pre- history over the years, most have since been dismissed by the general public, that the statues were made by aliens10 or that they were the work of white Egyptians and Incans11. In their place is the current conventional narrative of the island, an idea presented by Jared Diamond in his book Collapse. By his account, when the Polynesians first arrived on it Rapa Nui was a lush paradise and a prosperous civilization was established. As time went on, a ruling class forced their people to create moai in order to honor the ancestors and encouraged a so-called moai cult of intense building competition. In order to build and move these moai wood and plant materials were required and so the Rapanui cut down all of the trees that once existed on the island. With no more trees, the topsoil washed away and food became scarce. The Rapanui were then unable to sustain themselves on the island and they turned to 9 Hunt, Lipo. 2011 10 Däniken. Chariots of the Gods?: Unsolved Mysteries of the Past. 1970 11 Holton "Heyerdahl’s Kon Tiki Theory and the Denial of the Indigenous Past.” 2004 9 cannibalism as their civilization collapsed. They caused their own demise through ecocide.12 Diamond’s theory, like the ones before, though, still labors under the assumption that there must have once been a great civilization under which the moai were constructed that disappeared before the Europeans arrived. There is a new explanation as to how the moai were moved, however, that goes against this idea. Using the physical characteristics of the moai, Drs. Carl Lipo and Terry Hunt have constructed a new fact- based and clarified narrative for the island, one where the pre-historic population remained stable and that the populace encountered by the Europeans was, in fact, a healthy and thriving community, one which only began to collapse post-contact due to disease and slavers. Lipo and Hunt were able to show that moai were not moved in a completely finished state. Rather, when the moai were initially carved, they had a much further forward center of gravity. The resulting forward lean meant that through the use of three ropes tied around the head area, if the moai was rocked back and forth while twisting it forward, it could be moved by relatively few people.13 If the moai could be moved this easily, there would have been no need for a big population to supply the laborers needed to move the statues and thus there would be no need to try to explain some sort of disappeared society. With this revealed, the changes in landscapes and land cover become less important to the overall story, with palm tree loss being explained by the introduction of rats that ate the palm seeds and saplings instead of clearing for 12 Diamond. "Twilight at Easter." Collapse: How Societies Choose to Fail or Succeed. 2005 13 Hunt, Lipo. 2011 10 agriculture by the natives.14 This is supported by the observations of Jacob Roggeveen in 1772: “Nor can the aforementioned land be termed sandy, because we found it not only not sandy but on the contrary exceedingly fruitful, producing bananas, potatoes, sugar-cane of remarkable thickness, and many other kinds of the fruits of the earth; although destitute of large trees and domestic animals, except poultry. This place, as far as its rich soil and good climate are concerned, is such that it might be made into an earthly Paradise, if it were properly worked and cultivated; which is now only done in so far as the Inhabitants are obliged to for the maintenance of life.”15 Hunt and Lipo’s explanation shows that the indigenous Rapanui were smart and well aware of their surrounding environment, unlike their depiction in previous narratives. Rather than labor being forced upon people, Hunt and Lipo show that moai making and moving was a group activity of choice and there was deliberation behind the making and moving of each one. 14 Hunt, Lipo. 2011 15 Corney; Roggeveen. 1908 11 Figure 2: Classic photo of just the moai heads Buried moai in Rano Raraku. Photo taken by author Figure 3: Moai in Pop Culture From left to right: depictions of moai in the movie Night at the Museum, The Simpsons, and a Batman comic. Source: http://www.moaiculture.com/popculture.html 12 Figure 4: Moai standing on an Ahu Ahu Nau Nau. Once scattered, this ahu has been reconstructed and these maoi with their pukau re-erected to stand on top as they once did. Photo taken by author Ahu While the moai are generally the first thing that comes to mind when “Easter Island” is mentioned, there are also other large archeological structures that can be regularly seen throughout the landscape, ahu. These are long low platforms upon which the moai were placed. These places are considered to have once been ceremonial locations and gathering places for the prehistoric Rapanui, community locations for local “clans” or family groups. Rather than simply being ceremonial sites, people would live and farm in the areas around the ahu with the large stone statues placed with their backs to the sea and looking down on them. Even with this understanding, the ahu and their purpose could have meant many things to the ancient Rapanui and whatever the 13 original intent, it is well documented that burials took place there at least during historical times. As Captain Cook, leader of the third European party to disembark on Rapa Nui, noted in 1774: “The gigantic statues, so often mentioned, are not, in my opinion, looked upon as idols by the present inhabitants, whatever they might have been in the days of the Dutch; at least I saw nothing that could induce me to think so. On the contrary, I rather suppose that they are burying-places for certain tribes or families. I, as well as some others, saw a human skeleton lying in one of the platforms, just covered with stones.” 16 Visitors to the island continued to note the remains found near ahu and a century later in 1886, William Thompson, the paymaster of the U.S.S. Mohican recorded this description of ahu: “The platforms differ greatly in dimensions, but the general plan and characteristics are inevitably the same. Many of them are in a fair state of preservation, except that the images have been thrown down and the terraces in the rear obliterated or strewn with rubbish, while others have been reduced to a state of complete ruin. The platforms are usually located near the beach, and on a high bluff some of them are quite near the edge, overlooking the sea. The general plan consists of a front elevation composed of blocks of stone fairly squared and neatly fitted together without cement, a parallel wall forming the inside boundary, built of uncut stone, inclosing small chambers or tombs placed at irregular intervals. [Thompson’s reference’s to “front” and “rear” are opposite as, when confronted with all of the maoi fallen over, he assumed that the moai faced outwards towards the sea when they’d originally stood rather than inland] Loose bowlders [sic] fill the spaces between the tombs and form the horizontal plane of the platform, into which are let the rectangular stones which constituted the base upon which the statues stood. The façade stones are large and heavy, and in some cases the smooth surface presented could not well be attributed to the ride implements at the command of the builders and must have been produced by friction or grinding. Long wings composed of uncut stone extend from the platform proper, built up to the summit at the ends. In the rear of the platform a few steps descend to a gently sloping terrace, 16 Cook and Furneaux. A Voyage towards the South Pole and round the World. 1777 14 which terminates in a low wall and is bounded by a squarely built wall raised above the ground so as to join the top of the platform.”17 William Thompson is considered to have conducted the first archeological investigation on the island during his two week stay and many others would follow, noting the ahu, describing their features and categorizing them. There remains a general similarity throughout these descriptions, all noting the same general rectangular form and winged ends with the large wall in back and sloping ramp in front (fig. 5).18 While ahu that supported moai (image ahu) were the main subject of investigation and note for those initial explorers and archeologists to the island, there are structures on the Rapa Nui that have a largely similar basic shape to the image ahu, being low and long, but are generally simpler in their construction and have no associated statues. These ahu are also found near the coast but they tend to have a much greater variation in size, and, rather than the wings and squared ends of the image ahu, their ends tend to taper (fig. 6). Sometimes there is a front slope and strong back wall associated with them but this is generally not the case. Captain Cook described some of these features in his journal: “Besides the monuments of antiquity, which were pretty numerous, and nowhere but on or near the sea-coast, there were many little heaps of stones, piled up in different places along the coast. Two or three of the uppermost stones in each pile were generally white, perhaps always so, when the pile is complete. It will hardly be doubted that these piles of stone had a meaning; probably they might mark the place where people had been buried, and serve instead of the large statues.”19 17 Thompson. Te Pitot e Henua, or Easter Island. 1886 18 Beardsley. Spatial Analysis of Platform Ahu on Easter Island. Dissertation. 1990 19 Cook and Furneaux. 1777 15 As Cook noted, it is impossible to understand exactly what these different forms of ahu meant to the Rapanui but they undoubtedly served some purpose. Some archeologists have tried to classify Rapa Nui prehistory into various periods and fit various types of ahu construction within these time frames but in their study of the inland image ahu complex of A Kivi-Vai Teka, Mulloy and Figueroa found that: “From the point of view of image ahu architecture, a single, coherent, continuously developing pattern of ideas is represented. In terms of general conception and apparent cultural function as well as detailed architectural characteristics this sequence of structures demonstrates a clear and detailed, unbroken chronological progression such as might be expected from the architectural reflection of the activities of a single continuously developing society. No evidence is interpreted as revealing a chronological break in the sequence such as might suggest a population replacement, the intrusion of a new cultural pattern or even a period of sudden cultural renaissance. The evidence indicates that, from the point of view of image ahu architecture, this part of the local history can most meaningfully be seen as a single period of uninterrupted development characterized by gradual introduction of new ideas, the expansion of themes and improvement of capacities.”20 Indeed, several ahu, particularly image ahu, show signs of reworking, rebuilding and/or maintenance taking place since their initial creation. This can be noticed when there are square-ended outlines indicating where a previous ahu was once built or if an ahu angles in the middle rather than being straight (fig. 7). In addition, some of the large blocks used as the outside walls of the ahu can be identified as the heads and bodies of moai that presumably fell, broke and were then repurposed. These maoi generally have the rounder, less long head shape that is characteristic of older moai styles. It should be 20 Mulloy and Fueroa. The A Kivi-Vai Teka Complex and its Relationship to Easter Island Architectural Prehistory. 1978 16 noted, however, that the simple lack of discernable difference between features does not indicate that no timeline or chronological difference exists. Figure 5. Image ahu The central part of the image ahu is thicker, more solid, and rectangular and is where the moai (now fallen) once stood. To either side stretches out the squared “wings” while in front is the sloping ramp where evenly spaced smooth, rounded rocks were placed. A historic wall has been made using/intersecting the image ahu. 17 Figure 6. Ahu A well preserved ahu with no associated moai. The construction is still the same with a retaining outer-wall of larger stones, but the ends of the structure are much pointier and there are less associated defining factors. Figure 7. Image Ahu with Various Iterations This image ahu has had several stages to it. The front rectangular outline and wings are clear as are another set behind and at a slightly different angle. 18 Costly Signaling and Water The construction and moving of a moai would have been a long term and significant event given their size and the distance they were moved to locations around the island. While no one can know exactly the rationale behind the Rapanui’s construction of the enormous moai and ahu, one concept that could have been an underlying driver to their construction is costly-signaling. Costly-signaling is the notion that large structures and other “frivolous” visible possessions indicate a level of wealth, health, or status because those in possession of such signals must be able to handle the “cost” placed upon the individual. This cost is often the diversion of energy to create the feature, like with peacocks putting energy into growing their elaborate tails rather than getting bigger themselves (it does not have to be a conscious decision). In modern human societies, the cost is often monetary as people buy objects that have little functional value except to display the wealth of the owner.21 These costly signals are generally visual and moai and ahu would fall into this category, their size and scale indicating to others that those involved in their construction had enough resources and “wealth” to deal with the cost that came from erecting such features. The moai could also be involved in costly-signaling by delineating members of a group. As Smith and Bliege say, “another type of collective good that may be a form of costly signaling involves punishing those who free-ride on the group’s cooperative activities or otherwise violate group-beneficial norms.”22 There were once several 21 Hunt, Lipo. 2011 22 Smith and Bliege Bird. "Costly Signaling and Cooperative Behavior.". 2005 19 different family “clans” living in around Rapa Nui that were associated with specific areas of the island.23 In talking to Dr. Lipo, he is of the opinion that rather than a top- down order to build moai involving specific carvers and transportation laborers (as some narratives say), these groups of people would carve, move the moai, and build the ahu themselves in addition to maintaining their other sustenance related activities.24 If this were indeed the case, such action and involvement in the endeavor would help to show who was involved, invested, and a part of that particular family group. Erecting a moai would make it clear who was to partake in the “clan’s” resources as opposed to outsiders and freeloaders. In regards to what the moai and ahu could be signaling, with Rapa Nui’s small size it makes sense that they could have been signaling the possession of some resource. Since lithic mulching was used as a farming method, food resources were spread out across the whole island.25 Thus, as a resource, land and food were not the limiting factor. Rather, it would make sense to place these statues near a scarcer resource, a resource such as water. Given the volcanic geology of the island, there is little to no standing water on Rapa Nui. This is a problem. There are basins carved into the rock called taheta26 to help hold rainwater, but this is not enough. For a society to survive, a more reliable source of water is needed. There is evidence, both historical and archeological that the 23 Tilburg. Among Stone Giants. 2003 24 Talk with Carl Lipo January 2015 25 Ladefoged. “Soil Nutrient Analysis of Rapa Nui Gardening.” 2010 26 Tilburg. Among Stone Giants. 2003 20 wells were constructed by the ancient Rapanui. As Captain James Cook described in his journal during his 1777 visit to the island: “[My men] could find no water except what the natives twice or thrice brought them, which, though brackish and stinking, was rendered acceptable, by the extremity of their thirst…Towards the eastern end of the island, they met with a well whose water was perfectly fresh, being considerably above the level of the sea; but it was dirty, owing to the filthiness or cleanliness (call it which you will) of the natives, who never go to drink without washing themselves all over as soon as they have done; and if ever so many of them are together, the first leaps right into the middle of the hole, drinks, and washes himself without the least ceremony… What the natives brought them here was real salt water; but they observed that some of them drank pretty plentifully of it, so far will necessity and custom get the better of nature!... On the declivity of the mountain towards the west, they met with another well, but the water was a very strong mineral, had a thick green scum on the top, and stunk intolerably. Necessity, however, obliged some to drink of it; but it soon made them so sick, that they threw it up the same way that it went down.”27 It is expected that these are puna, wells where the ground has been cut away into the side of the slope in order to access the water table. It is obvious, however, given the brackish nature of the proffered water that many of these wells were near the coast where the sea water mixes with the water table. It makes sense geologically that it would be easier to access freshwater near the coast because as the land comes down to meet the ocean, the water table is relatively closer to the surface. At the shoreline where they meet, fresh water discharges into the ocean but the volume depends on the tide. At high tide there is little discharge as the increasing tide creates a “hydraulic dam” blocking the fresh water, but as the tide ebbs the position of maximum discharge moves towards the ocean.28 The result is less salty 27 Cook and Furneaux. 1777 28 Urish and McKenna. “Tidal Effects on Ground Water Discharge Through a Sandy Marine Beach.” 2004 21 brackish water. Given the water shortage on the island, it makes sense that the Rapanui took advantage and made the most of this coastal freshwater resource. In his journal Captain Cook described one such well: “The little [water] we took on board, could not be made use of, it being only salt water which had filtered through a stony beach into a stone well; this the natives had made for the purpose, a little to the southward of the sandy beach so often mentioned, and the water ebbed and flowed into it with the tide.”29 The Rapa Nui locals would have been well adapted to drinking brackish water as Cook observed and this geological phenomena can still be observed today when free roaming horses can be seen drinking ocean water at low tide. This does not happen everywhere though. For one, the water table discharges best through porous materials so while soil and sand allow for a lot of permeability, bedrock and clay are more impermeable and will generally restrict the water table. Thus, not all areas of a coastline will have the same fresh water discharge. In addition, the cliffy coastline makes it certain areas less accessible than others. Ocean access would have made available valuable resources for the ancient Rapanui, not only water but also whatever food resources they could glean from it through fishing and harvesting.30 It thus makes sense to mark and “protect” such locations, to identify and keep them for yourself and your immediate clan. Based off of diatoms in skeletons, there is evidence of regional geographic variability in the water sources of the ancient Rapanui that could be explained by a differing reliance on water sources, with individuals from the north and west coasts of the island relying on more 29 Cook and Furneaux. 1777 30 Arana, "Ancient Fishing Activities Developed in Easter Island." 2014 22 temporary rainwater drinking sources while south coast individuals had more diversified sources.31 My paper examines the relationship between ahu and coastal access in an attempt to shed further light on this relationship and support the idea of coastal water table discharge as an important resource for those Rapanui living on the south coast of the island. Topography If ahu are to be considered costly signals related to fresh water access within the ancient Rapanui culture, topography could play an important factor as to why these structures were placed in certain locations. There are a couple reasons for this. One, as partially explained in the prior section on costly signaling and water, has to do with access to the water table. If a structure is placed at a lower elevation it is placed close to the water table. Additionally, a steep decline would not only bring people closer to the water-table, but these downhill areas, specifically if there is an abrupt drop in elevation, would remain slightly damper. This is because as water percolates through the ground, gravity still acts upon it, pulling it in a downhill direction in addition to simply down into the ground. If the land falls sharply, it is possible for this percolating water to emerge in these locations, perhaps not in large quantities, but more so than in areas where the land is flat or uphill. Ahu location and distance to resources could also result in a spatial relationship. It is generally expected that features related to one-another would be located closer 31 Dudgeon and Tromp. “Diet, Geography and Drinking Water in Polynesia: Microfossil Research from Archaeological Human Dental Calculus, Rapa Nui (Easter Island).” 2012 23 together rather than being placed far apart. This is especially true when the resource being marked is an environmental one, such as land, food, or water. Thus, if ahu were markers of some locational based resource they should be placed near that resource. Topography can relate to a number of other factors relevant to ahu placement as well, particularly slope and visibility. Effect of Slope on Walking Creatures use energy every day, to breath, to grow, to move; life requires energy. The more energy a creature uses, the more energy it needs to put in. Thus, to be efficient, many creatures will avoid doing unnecessary work. As animals move through a landscape they lose energy but how much they lose depends upon the terrain; the more incline, the more energy spent in trying to ascend.32 This is illustrated by Naismith’s Rule, a rule of thumb proposed in the 1800s as a way to calculate walking/hiking times. In its initial form it suggested to allow 20 minutes for every mile and 30 minutes for every 1000 feet of rise. Overtime, it has been modified and expanded to take into account various terrain and slope gradation since steeper, rougher trails are harder, requiring more time and energy to ascend than the work needed for walking along flat ground.33 Observed animal behavior in the wild supports the idea that slope dictates movement, especially for larger animals. This makes sense since, while it may take the same amount of energy to lift 1kg of body weight for all animals, a larger body means more energy expenditure. Thus, the fight against gravity is much more taxing on 32 Hausken. 2014 33 Norman. 2004 24 animals of larger size. This is why the smaller mouse can more easily run uphill and at greater inclines than the larger chimpanzee.34 This behavior is also seen in elephants who avoid steep slopes since their large body sizes make going up even minor hills a large energy cost.35 Cattle too seem to generally prefer grazing on land with less slope, and only venture to hiller locals when food is scarce.36 With humans, in order to compensate for steepness, we ascend in a zigzagging manner as a way to reduce steepness (even though it increases distance). This phenomena is made permanent in the switchbacks of roads and trails.37 We, like many animals of decent size, rarely scale straight up a slope; rather we traverse it. Given this understanding, if people were regularly accessing the coastline, it would be advantageous to position one’s self so as to avoid steep coastal terrain that would require excessive work. When access is desired, a lesser slope is preferred because it would make the work less strenuous and more efficient. Thus, it would make sense for ahu structures related to coastal/resource access to be situated near areas where there is a gentler coastal slope. Even without taking into account possible fresh water resources at the tideline, the ocean also had a number of other resources that the ancient Rapanui utilized like fish and other forms of sustenance. Since ahu, particularly image ahu, seem to be tied to community gathering areas it seems reasonable that they would be placed in areas where that limited the amount of work required; rather than 34 Taylor, et. al. "Running Up and Down Hills: Some Consequences of Size.". 1972 35 Wall, et. al. "Elephants Avoid Costly Mountaineering." 2006 36 Harris, et. Al. “The Effect of Topography, Vegetation, and Weather on Cattle Distribution at the San Joaquin Experimental Range, California.” 2002 37 Llobera and Sluckin. "Zigzagging: Theoretical Insights on Climbing Strategies." 2007; Gilks and Hague. "Mountain Trail Formation and The Active Walker Model." 2009 25 locate their communities near areas where steep cliffs would impede access to the ocean’s resources and require more energy expenditure, areas with less steep coastal slopes seem more ideal. There were no beasts of burden on the island prehistorically, so the Rapanui walked everywhere; it makes sense that they would be efficient about it. Visibility in Archeology Visibility and elevation go hand in hand. Everyone knows that generally, the higher you are, the further you can see. Usually, for an observer standing on the ground, the true horizon (the horizon resulting due to the curvature of the earth) is about three miles in the distance, but as they ascend in elevation, that distance increases. In reality, though, an observer cannot always see to the horizon, if features are in the way, be it a building, a mountain, or something else, an observer’s visibility is blocked as sight beyond the object is restricted. Conversely, if there are features of greater elevation far away their tops can be seen by an observer if they rise above the horizon line even if their bases below the horizon are not visible. This is why visibility is closely tied to topography, not only does the elevation of the observer matter, but the elevation of the landscape around them as well. Standing on a lone hill surrounded by plane has a different visibility result than standing on a hill surrounded by mountains. Viewsheds are a way of analyzing how much area is visible from a single location. This term to describe calculating areas of visibility was first introduced by Tandy in 1967 who compared the idea to that of a watershed.38 The concept grew in popularity when a computer program was developed that could quantifying visible areas 38 Tandy. "The Isovist Method of Landscape Survey." 1967 26 across a plane in 1968.39 The modern versions of this program are now used in a wide variety of fields from architecture to the military. In archeology, visibility and intervisibility (seeing between features) have long been considered important factors in the initial construction of archeological landscapes, especially in regards to settlements. While there are many elements that factor into the location of settlements, visibility is often analyzed as a means of assessing defensiveness. Before the advent of computers, this was hard to quantify and generally noted qualitatively though words such as ‘hidden’ and ‘prominent’ but with GIS, quantitative analysis allows for a more thorough study of this phenomena.40 In their 1996 paper, Lock and Harris examined settlements in prehistoric southern England and used the amount of visible land from each location as a measure of defensibility, with the assumption that the greater the visible area from a settlement location, the easier it would be to defend.41 Jones also used visibility as a way to examine the placement of Onondaga Iroquois settlements and found that while settlements were not placed for a maximum field-of-view, they were generally within line-of-sight from one another making communication and mutual defense easier.42 Though a large focus has been on settlements, there have also been a number of viewshed analyses of other archeological features. One very extensive study was conducted by Fraser on the Neolithic stone cairns of Orkney where visibility was 39 Amidon et. Al. “Delineating landscape view areas...a computer approach.” 1969 40 Wheatly and Gillings. “Spatial Technology and Archeology.” 2002 41 Lock, Gary R., and Trevor M. Harris “Danebury Revisited: An English Iron Age Hillfort in a Digital Landscape.” 1996 42 Jones. “Using Viewshed Analysis to Explore Settlement Choice: A Case Study of the Onondaga Iroquois.” 2006 27 studied as a significant factor for the position of the territory delineating cairns.43 Another study by Paliou used a visibility analysis to show how Bronze Age Aegean wall paintings would appear to the public outside looking in through windows as a way to show status.44 All these studies show how the informative light visibility sheds on the relationship between features and their surrounding topography allows for a better archeological understanding of civilizations. This idea is especially important if these ancient structures are meant to be a form of costly signaling. Costly signals are a way of communicating, they are meant to be seen, which means that visibility should have been an important factor considered by those constructing the ahu, particularly the image ahu. 43 Fraser. Land and Society in Neolithic Orkney. 1983 44 Paliou. “The Communnicative Potential of Theran Murals in Late Bronze Age Akrotiri.” 2011 28 Part 3: Field Work and Data Analysis Methods Data Collection For the first two and a half weeks in January of 2015, I traveled to Rapa Nui with Drs. Lipo and Lee from California State University Long Beach (CSULB) in order to help them collect data on the island. Their main goal for the trip was to collect visual imagery for the south coast of the island using drones and I assisted them in this endeavor. We flew a Trimble UX5 Aerial Imaging Rover to collect our data (fig. 8) that was generally able to capture areas of about 1km2 per flight. Over the course of a week and a half we flew about 26 flights, capturing the whole of the southern coast as well as some more inland areas (fig. 9). Inside the body of the drone was a camera that took pictures at regular intervals during the plane’s flight path; Dr. Lee would adjust the settings to account for the sun brightness of each individual flight. The unmanned aircraft was controlled via a touch- screen Yuma tablet computer onto which a map of the current location was loaded beforehand. With this map and our location locked on thanks to satellites, I would then indicate the wind direction (important for take-off, flight planning, and landing), decide the coverage location and area for the flight, and confirm and adjust the take-off and landing approaches for the drone by establishing boxes, points, and vectors in relation to map seen on the handheld computer screen. Before launch, we would go through a pre-flight checklist to ensure readiness and that everything was set (fig. 10). To launch, the UAV was placed upon a slingshot-like launch rail and at takeoff, a loaded bungee would fling the plane into the air. This speed and increase in altitude would start the 29 motor and the plane would begin to fly along its directed path. If the flight area was far away, Dr. Lipo and I would follow the drone in a car with the Yuma computer to ensure a signal between the devices was maintained. When the drone reached the area designated for imaging, it would begin to travel along designated flight paths that transected the square area. In general we would try to have the flight lines perpendicular to the wind so as to reduce velocity change as the plane traversed across the set coverage area taking pictures. When the plane reached the end of each flight line, it would continue for a little bit not taking photos before banking into a turn and coming back to align itself for its next flight path. When it was done flying all the flight paths for the assigned area, the drone would return to a set rally point near its landing location, circle to lose altitude and await confirmation to land. We would position ourselves to observe the area and descent approach before I gave the OK to land and watch then watch for any danger that would have me abort the landing (horses, cars, a bad angle, etc.). There was a variable range as to the exact landing spot due to satellite inaccuracy and the wind could also seriously affect the landing location. Since the UX5 has no wheels and instead lands on its belly, its last few moment of flight are glide with one sharp reverse from the propeller. This means that a large, clear, rock-free area is needed for landing and given the rocky nature of Rapa Nui that is an uncommon thing, but we were able to find three decent locations for landings from which we launched most of our flights to cover the south coast. We had brought along extra bodies for the drone in case of accidents and had several very close calls with rocks but only ended up crashing once on a landing bad enough to warrant a body change. 30 Each flight produced several hundred overlapping photos along with data from the flight path, which, among other things, included GPS coordinates for each picture. After each flight we would download the pictures from the camera’s memory card onto a laptop as well as extract the flight log from the drone’s body onto the Yuma computer. This data we would then bring back to the house we were staying at for further saving and processing. In general, we flew about two to three flights per day and towards the end when we were most efficient, we had a day where we flew four flights, and a day we flew five. Ideally we could have gotten more flights off but we were limited by only having 4 lithium batteries (1 needed per flight) and the fact that we were not allowed to fly from around 11am until 1pm because we weren’t allowed to fly when the airport was busy and that’s when the flight from Chile arrived and departed. It also took us a while to achieve the necessary local permission to start flying so despite arriving on January 2nd, we didn’t start drone flights until January 9th. Despite that, we were still able to get imagery for the whole south coast as well as some other flights people requested. The data from each flight was taken and processed using the laptops set up back at the house we were renting. First, the pictures from the camera had to be matched with their flightlog metadata that was recorded by the drone as the pictures were being taken. Then, we input the photos into a structure from motion program called Agisoft PhotoScan which would analyze the images and composites them together. The result of this process is an Orthophoto with approximately 3cm resolution, a Digital Elevation Model (DEM), and a three-dimensional point-cloud model of the area. 31 Figure 8. The UX5 Drone Photo taken by author Figure 9. UX5 Flight Areas Each green square represents the area flown for one flight. While the flight area was a rectangle, the resulting orthophotos have jagged edges resulting from the corners and edges of the actual camera pictures taken and that the drone often flew at an angle to account for the crosswind. Generally these flights covered about 1km but the two flown at a higher altitude (225m) covered more. 32 Figure 10. Final Checks of the Drone before a Launch Photo taken by Dr. Lipo Structure from Motion and Topography Structure from motion (SfM) is a form of photogrammetry, the science of getting ground measurements by measuring angles and lengths in photographs.45 While the concept of photogrammetry is about as old as the technology of photography itself, a more modern subset of the field is structure from motion. SfM, like traditional photogrammetry, uses location triangulation between matching features to create the geometry of the scene and estimate three-dimensional features from two-dimensional images. To do this, SfM needs three or more overlapping images of an area or object taken from slightly different angles, unlike traditional photogrammetry’s two. Those 45 Slama. Manual of Photogrammetry. 1980 33 points that are similar align and match up, their slightly different angles and the images are then composited together. This allows for the creation of perceived depth and three- dimensional effects just like how human, and many animal, eyes work (Fig. 11). With SfM, however, feature recognition algorithms incorporated into the programs allow for larger camera angle and photograph scale changes than the traditional methods and the processing power of the computer means than many images can be used to achieve more accurate results.46 The end result of this is a composite three-dimensional model. The shape arise from the angle and points that allow a structure to be made and the texture and color detail come from the combined photo imagery which is “draped” over the shape. Figure 11: Structure from Motion Diagram How structure from motion uses various different camera angles to recreate 3D features. Source: https://www.jvrb.org/past-issues/8.2011/2822 46 Johnson et. al. "Rapid Mapping of Ultrafine Fault Zone Topography with Structure from Motion." 2014 34 Topography While SfM can be used to create 3D images of objects or buildings, if a large number of images are taken from above looking straight down at the ground, it can also be used to make 3D models of the landscape topography. For creating a topographic model, the more points of data there are, the more accurate the resulting image. If done by hand, acquiring topographic data requires a large number of man-hours to conduct in-the-field surveys and does not result in a very dense data set of points. With SfM software, however, the matching and creation of points between photos can be done more quickly and with a much greater density than before. This is not to say that collecting data by hand is the only way to amass topographic data. One other way is the use of Light Detection and Ranging (LiDAR). LiDAR works via active remote sensing. With LiDAR, a laser beam is sent down to the earth’s surface from a platform (usually a plane for high resolution data) and the reflected light is analyzed upon its return; the varying elevations create different return times which can be used to determine elevation given the known location GPS location of the platform. A DEM can then be derived from the data via triangulation.47 LiDAR and SfM both have their pros and cons in when it comes to mapping topographic data. One advantage of LiDAR is that it can collect topographic data of the ground even if there is tree or other vegetation cover in an area. This is because the laser beam can have different returns (ie. One for the tree canopy, one for a smaller plant in the understory, and one for the ground) each of which is analyzed. Unlike LiDAR, SfM 47 Johnson et. al. 2014 35 uses just a simple camera and passive remote sensing (ie. the sunlight that is bouncing off the earth’s surface) to collect data. Thus, it is only useful in collecting topographic data if there is minimal to no vegetation. Luckily this is the case on Rapa Nui. Given that a plane is required to fly the LiDAR equipment, data can be collected for large areas, this can also be a good thing, but in some instances it can be a disadvantage. For one, a pilot and plane are needed which are expensive, especially when only a small area is needed to be surveyed. While we used a fixed wing drone to collect our SfM imagery data, it required little skill to use and if we did not have that option, we could have used a balloon to elevate the camera.48 Additionally, because SfM data collection generally takes place closer to the ground, it generally has a better resolution than LiDAR data. Studies have shown that SfM data results in a higher cloud density of data points and is generally quite accurate (when there is little to no vegetation) and that it results in a higher cloud density of data points than conventional airborne LiDAR.49 Another advantage to SfM is that of the orthophoto. Since SfM uses regular photographs to get its elevation data, it has visible-light imagery for the area as well. During processing, the images are matched and meshed together so that all the images are incorporated into one, large area image that has been geometrically rectified, an orthophoto. The result if that features can be visually looked at and analyzed whereas with LiDAR datasets, there is only the density data with which to base ones 48 Johnson et. al. 2014 49 Harwin and Lucieer. 2012; Fonstad et. al. 2013 36 understanding of the area. This easy visual visual accompaniment to the topographic data is a big advantage when trying to determine features on a landscape. When collecting areal imagery for topographic analysis using SfM, there are a few key concepts that factor into the collection method and process. The major one is that it all depends on the quality of photos being used. While the computer does most of the processing work and can create 3D models rich in information and detail as outputs, it is still the job of the individual to acquire the photos needed for the reconstruction. Given the essential nature of having overlap between the images it is important to be methodical when taking pictures of the subject. Just as important, however, is to ensure that the subject and its varying aspects are captured from different angles. The easiest way to ensure this is to move while taking photos of the feature, hence the name structure from motion. With the drone, we were able to get regular pictures of the ground with systematic overlap and height (fig. 12) and as it moved across the landscape, it captured the ground features at different angles. This made it easier to get quality reconstructions of the landscapes. 37 Figure 12: Camera Angles and Overlap in Photoscan An image showing the camera location (black line and blue rectangle) for each photo taken and used in the reconstruction with the created ground topography beneath Ground Calibration An important aspect of SfM is the ground calibration. This is what gives the orthophotos, DEMs, and other outputs location in the real world. Just as the object of study was located in the world, so must the SfM outputs be able to align with that location. The outputs must be able to exist in a correct relationship to those areas around it as well as to the other points within the model. One way to ensure this is to collect GPS data at certain identifiable site. These locations or Ground Control Points (GCPs) can then be marked in the model and, by having certain points with known locations, the model becomes, in a sense, anchored. Thus, the more known points, the more precise and accurate the model. In more technical terms, GCPs register a model to a coordinate system. 38 While having specific GPS points is one way to register a model, there are also others. One, is that if you have the GPS locations for where the individual pictures were taken, they can be used to help provide a location for the whole emerged image. Another way to ensure a correct data output is, if a DEM of the location at a different resolution exists, the same area of the two can be compared and used to correct each other. These various methods are not mutually exclusive and can be used in conjunction with one another in order to ensure the greatest accuracy for the data. For this project, we did not collect GCP data, rather, we used the GPS data associated with the various camera positions to provide locations for the images. As the drone was flying, it oriented itself based on its triangulation from several satellites. Since the drone knew its position, every time it took a picture, the drone’s position at that time was recorded. This data could then be used to help Photoscan align the photos as well as provide locational grounding for the output model, Orthophoto, and DEM. Unfortunately, this consumer-grade GPS on the UAV has error associated with it that can translate into registration error for the model. This is discussed in further detail in the sub-section “Errors” (page 45). Processing While there are a few free, open source SfM software options available, we used program Agisoft Photoscan to process the data and goes through the several steps to create the final products. There are several advantages to using Photoscan, the first being that the software can incorporate GPS camera positions into its calculations. This helps to reduce processing time as well as georeference the final files without relying on ground control points. Another perk to the Photoscan software is that it allows for batch 39 processing. This means that all of the processing steps can be set up before-hand and left to run rather than having to manually initiate each step. With an average of 853 pictures taken per flight area (table 1), it could easily take 12 hours or more to process one flight, so the batch processing was key. To process a new flight’s worth of photos, first, the photos from the camera were matched up with their associated metadata (ie. GPS data) that was collected by the drone as it flew and extracted onto the handheld Yuma computer at the end of each flight. Once back at a computer, Agisoft Photoscan is opened and the photos are imported into a new project. A batch process is then set up to process the photos in the following order. First, the photos are then aligned with each other and since they have associated GIS data, this can be used to help speed up the alignment process. Next the geometry is constructed; first a sparse point cloud (fig. 13), and then a dense point cloud (fig. 14) that illustrates the points of overlap. It is during the construction of the point cloud that the various qualities (from low to very high) can be selected for the final product. This affects both processing time and the output because while a lower quality takes less time to construct, the end result is not as accurate as one constructed at a higher quality. While we were in the field we processed the data at a medium setting and the results were fairly good. Once we got back in the US however, Drs. Lipo and Lee used their resources at CSULB to reprocess the images at a high resolution. To do this processing myself would have been lengthy and redundant so I used the outputs of these re-runs as my data. After creating the dense point cloud, the next step is for Photoscan to create a wire frame (fig. 15) and then a solid surface (fig. 16) using these points. This helps to 40 create a dynamic, continuous, 3D surface and fill in any gaps that may occur in the data. Shading and texture (more imagery coloration) are then overlaid on top of the solid surface (fig. 17 and 18). The result of these steps is the final 3D model. During the model construction process, the images are processed in a way that creates a composite image of the photos as well as a topographic landscape this means that an orthophoto (fig. 19) and DEM (fig. 20) for the area can easily be exported and saved as their own files. This process was repeated for the data from all 26 flights. One of the trade-offs that must be considered when preforming SfM is resolution and time. The closer to the ground an image is taken, the higher the resolution will be but conversely, the picture will be smaller and much more time must be taken to get imagery of the whole desired area. The opposite is also true, pictures that are taken farther away from the earth’s surface cover more area and less of them are needed but the resolution is not as good.50 For our flights we flew at a 100 meters off the ground and the resulting resolution was about 3cm2. 50 Johnson et. al. 2014 41 Figure 13. Photoscan Processing: Sparse Point Cloud Figure 14. Photoscan Processing: Dense Point Cloud 42 Figure 15. Photoscan Processing: Wireframe Figure 16. Photoscan Processing: Solid 43 Figure 17. Photoscan Processing: Shaded Figure 18. Photoscan Processing: Texture 44 Figure 19. Photoscan Processing: Orthophoto Output Figure 20. Photoscan Processing: DEM Output In this DEM the lighter color corresponds to higher elevation. If desired, this coloring can be changed. 45 Errors While SfM is a highly useful tool to process data, the process is not without its share of room for possible errors. The major possibility for error in the output features is tied to the errors in the drone’s GPS location. This arises because GPS, especially consumer-grade GPS, has a margin of error; it’s only accurate up to a certain point. This margin of error is due to the way the system works. GPS devices receive signals from different satellites and use the transmitted information to carry out trilateration calculations in order to pinpoint their location on earth. The error results from a the fact that most GPS devices are only accurate to ten nanoseconds which is important since knowing when and where a satellite transmitted its data from is important critical to the calculation. Additionally, the transmitting microwave signals travel at the speed of light and this in conjunction with the limited timing accuracy equates to about a three meter error (in x, y, and z directions) for all GPS locations.51 As we collected our data over a number of different days, different satellites in different positions were used for trilateration and locating purposes. While the resulting position trilateration is still accurate for GPS, it may be slightly different than information provided by the satellites being used a day prior. Another possibility for error is due to the atmosphere. As the microwave signals are transmitted between the satellites and earth, molecules and particulates in the atmosphere distort the signals being sent. Though mathematical equations can correct most of this error, certain varying locational atmospheric disturbances cannot be accounted for. 51 "GPS Accuracy and Error Sources." Mio Technology Corporation 46 As errors in GPS location can affect the data, the result can come in the form of the output topographic data being shifted or tilted, it can also include bending, shrinking, stretching.52 This data warping can also result from the picture itself. When a 2D image is taken of a 3D, curving landscape, distortion occurs. If an aerial picture is taken looking vertically straight down at the ground, some distortion occurs, especially around the edges whose light has the farthest distance to travel to be captured by the camera. Most of this error can be corrected for by algorithms and is in fact the definition of an orthophoto, a photograph that has been geometrically corrected so that it can be used like a map. Since the images used for this project were taken relatively close to the ground compared to using satellite imagery or photos taken from a maned plane, this should help to limit the distortion. Additionally, combining all the photos together with Photoscan should help to decrease error as there are a number of visual references for every location; the randomness of the error associated with each individual photo should help to counteract the random error in other photos when meshed together so the final composite datasets have less than 3m of error in all directions. Recently, studies have found that a doming effect occurs in the final resulting composite images of topographic SfM DEMs. In essence, this means that the middle of the DEM bulges up slightly. This is thought to be a result of combining near- parallel imaging directions in tandem with radial lens distortion. Thjs error can be 52 Johnson et. al. 2014 47 reduced by the inclusion of oblique images into the mix of analyzed photos.53 I did not test for, nor correct for this doming affect however, so it could be influencing the data. ArcGIS Processing ArcGIS is a Geographic Information System (GIS) developed by ESRI (Environmental Systems Research Institute). ArcMap is the main program of the ArcGIS software suite and allows the user to view and edit geospatial information in order to create maps from datasets. While there are open-source GIS options available, I chose to use ArcGIS because the University of Oregon has the software licensed and available to use on most of its PCs and it also has the extensions I needed to process the data. I have also taken some classes that have used it and so am familiar with the program. There are two main types of data that can be used in/processed by ArcGIS. One is vector data, vectored polygons and points that generally come in the form of shapefiles. These various shapes can be visualized and modified and also have associated data in attribute tables. The other form of data is raster data. Rasters are a grid of cells/pixels where each cell has value that represents some form of information. Digital imagery falls under this category and thus so do the orthophotos and DEMs created as outputs from Photoscan. While we flew a total of 26 flights while on Rapa Nui, for my analysis I only used the 23 that took place along the south cost (the images from two flights had been 53 James and Robinson, 2014. 48 combined on island to provide a composite output for a local so I actually used only 22 files). We flew our flights on the island in a rather patchwork manner so there was no correlation between the flight numbers and the images’ position along the coast. Thus, the first thing I did was order and rename the files providing each with a number (N) so that there was a general sense of moving from west to east along the south coast as N increased (table 1). With some organization established, I then imported the orthophotos and DEMs into ArcMap. While these files had geographic extents (longitude and latitude points) associated with them due to the camera GPS data for each image, the coordinate system they were associated with was a Geographic Coordinate System (GCS). This places points based on a global/spherical surface which can be a problem when viewing data on a flat surface. When there is no consistency amongst the coordinate systems used problems arise when comparing and joining data features. Thus, I re-projected these files into a Projected Coordinate System (PCS). A PCS is created through the mathematical conversion, or projection, of our three-dimensional world onto a flat two- dimensional plane. As a result there are constant areas, lengths and angles across the surface. One side effect from the 3D to 2D transformation is that there is some distortion, especially in areas that are closer to the edges. In order to minimize this, a projection is generally chosen that places the desired area at or near the center. There are many different projections, but I chose to transform my files so they were in the ESRI designated PCS, “WGS 1984 UTM Zone 12S.” UTM zones are based on the Universal Transverse Mercator projection and encircle the globe with each zone being about six degrees of longitude wide. UTM zone 12S is the one associated with the area 49 where Rapa Nui is located. Since the earth’s curved surface is transformed into a flat plane, a coordinate system is superimposed onto the surface. Except for the polar regions, the UTM coordinate system is used to “flatten” all the zones using the Transverse Mercator projection. The “WGS 1984” refers the World Geodetic System of 1984 which is the datum the projection is based on.54 Datums reference specifications of a measurement system and are important factors in a projection because the projected coordinates are based on geographic coordinates which in-turn reference a datum.55 Ahu and Coastline Identification Once the files were projected, I opened up all the orthophotos and used them to identify and mark all the ahu along the south coast. While the major ahu along the coast have been noted by many, I felt that it was necessary to go through myself because the aerial view and resolution of our orthophotos gave me a unique perspective to identify the long low shapes of the ahu. Additionally, this would ensure consistency throughout the data. To mark the ahu, I created a new shapefile in ArcCatalog and then used the Editor tool in ArcMap to added features to it. Wherever I saw an ahu, I placed a point on it and added information about in in the attribute table (fig. 21) (table 2). I recognized ahu as low, long stone structures, generally with a fatter, denser, or taller center and thinner, less dense, or lower “wings.” This recognition resulted from a number of factors. One was that I used an already established dataset of moai and ahu locations (though the ahu in this dataset were not categorized). I checked out these markers and ensured they corresponded with my orthophoto locations in my newly 54 "UTM - Universal Transverse Mercator." UTM: Projection 55 "Support." Datum. ESRI 50 created vector file. From these already established ahu locations, I extrapolated out to include further similar features that seemed to follow these established shapes and guidelines. I also used the knowledge I had gained on Rapa Nui about how to recognize ahu (the strong retaining wall in the back, etc.) to help identify these features for the data set. As I was going through, I classified each ahu as one of four categories. These categories were “image ahu,” “ahu,” “ahu?,” and “image ahu?” Those classified as an “image ahu” had moai clearly associated with them, this generally meant there were fallen statues (or parts) near the platform (fig. 22). To be classified as “ahu” there had to be a clear ahu shape and no nearby moai (fig. 23). There were a number of features, however, that seemed close to an ahu shape but I had some doubt about whether it truly was an ahu or was actually just a bit of wall or extended lithic-mulching area so I classified these as “ahu?” (fig. 24). This is the only way I categorized the ahu and I did not attempt to include notation or distinction to ahu in regards to construction chronology or other features that may differentiate them. As a result, my spatial analyses are pure ones, as they assume time is not a factor. Another initial step I took was to modify the shapefile of the Rapa Nui coastline. The initial file I downloaded was a series of vector lines indicating the shoreline for all of Rapa Nui. As I only needed to look at the south coast, I edited out the northerly sections as well as the small islands and bits of rock off the coast. In addition, I went along and, using the orthophotos as a guide, edited the coastline to match what the images were showing me. The initial outline was a bit courser than what I could see with my imagery and sometimes the features indicated didn’t quite match. Thus, going 51 through and manually adjusting helped to improve the resolution and accuracy of the coastline. This was important as I would use the vector file later for processing data. It should be noted, however, that in reality a shoreline, is an area, not a line; as tides move in and out the shore changes. Thus, while better, my modified coastline still has some error in it. I tried to get the line to match up with what the tideline according to the orthophotos but in many cases it is still a general match. If there was water right up against a cliff, I would leave room to ensure I wasn’t cutting off any data associated with the cliff and if there were low rock formations jutting out into the ocean I generally included them. Figure 21. South Coast Orthophotos and Ahu Points All 22 orthophotos placed along the south coast of Rapa Nui. The red dots indicate ahu. 52 Figure 22. Identifying “Image Ahu” The large grey stone in the middle of the platform are identifiable as the body of fallen moai Figure 23. Identifying “Ahu” This ahu has the very clear oblong shape and no nearby moai 53 Figure 24. Identifying “Ahu?” A series of images of ahu that I considered to be questionable. I was unsure if these were actual ahu or historic walls with rocks piled around. The enclosed areas in the bottom right picture are clearly manavai. Batch and Model Data Processing Processing this data was time-consuming. This was mainly due to the fact that I was dealing with large raster files that require a long time to analyze due to their size and the amount of information they hold. In addition, though I was examining features along the continuous coast, the data I had for the coast was broken up into twenty-two pieces. Though I tried to join the raster features together to create one raster, the files were too big to make this reasonable so each step needed to be repeated around twenty- two times in order to get data for the whole coastline (if it involved the coastline, this 54 number was nineteen because three flights were more inland and contained no actual coastal data). To make this process easier I used the ModelBuilder feature in ArcMap to help automate the process. ModelBuilder allows you to build a visual flow-chart of your process rather than running each tool by hand. The major advantage to this is that it allows the user to iterate through datasets, applying the same processing to all the files indicated (fig. 25). This made it much easier for me because certain processes I could set to run and then just wait until the computer finished processing all the files. Unfortunately, I was not always able to use models in helping me process data due to the limits on iterators. In ModelBuilder, iterators allow the same tool/function to be run on multiple files within a database but the program only allows for one iterator at a time. This was fine when I was using a shapefile that contained data for the entire coastline (ie. vector data associated with ahu or the coastline) because I would simply extract the data within the set parameters associated with that area from each raster. Some situations, however, called for two iterators. This was when data was processed using information previously extracted from the individual rasters and thus existed as its own file rather than as one continuous one. In these instances it was possible to use batch processing. This was not quite as convenient because each file must have all its information entered manually into a table (input file, output file, extents, etc.) rather than have a computer automate the process. Once it is done though, all the files can be completed in one run rather than having to repeat the process after each one finishes running. 55 Additionally, as each of the flight files were processed separately, they also had separate outputs. This is not as important when the outputs are shapefiles or rasters because they can be viewed in ArcMap at one time and any future processing can occur in the same manner as before. When this becomes a problem is when the outputs are data tables. With each flight area being processed separately, the data associated with one tool can end up spread amongst 19-22 different data tables. In order to fix this, I would merge all of the data table files together in order to create one big table. The problem is that while the resulting table would have all of the combined output data, it wouldn’t have the ahu category information I had assigned to each point. It was important that the tables have this material so that I could use it to separate out the data associated with each type of ahu (ahu, image ahu, etc.). In order to attach a category column to each data table, I would perform a join. In ArcMap, a join allows data to be added to an attribute table based off of a common field. This means that additional information is not just tacked onto a table, but systematically matched so that the correct associations remain.56 For these tables, as the general identification information remained with the output datasets, I was able to use that as a shared column to bring all of the information into one table. The table would then be paired down as some of the information was redundant and unnecessary. The final tables are the ones that can be seen in Appendix B. This process was followed for most of the output data tables. Another problem that arose from processing what should be a contiguous area artificially broken up into flight areas is repetition. The flight areas overlapped each 56 "ArcGIS Help 10.1." ArcGIS Resources. ESRI 56 other in order to ensure data was collected for the whole coast but the side effect was that some ahu were captured multiple times. When it came time to process the data, these features would then receive associated information from each flight area they fell within. Thus some features had more than one set of associated data. This caused problems because some datasets were cutoff if they were close to the edge of the flight area making them incomplete, while when overlap occurred data was repeated within the two outputs. A singular feature should only have one set of associated data so I processed the data to achieve this. How I went about doing this depended on the data in question as well as how the overlap affected each data set. For some, it was easy because a feature that lay on the edge of one flight might not be on the edge of the other, this meant that the data associated with the area not cut off by an edge was used while the incomplete data was rejected. Other times, the complete data set was not contained in any one flight area. To make sure all the appropriate data was associated with each feature, I would clip down the resulting data so that it didn’t include the overlapped area (this data remained in the unclipped section of data) and then would add this data together to get a single complete data value associated with each figure. 57 Figure 25. ModelBuilder Example This model is set up to run the tool “Zonal Statistics as Table.” The data being analyzing comes from the rasters being iterated through within the “SCoast_Slope” geodatabase. The data provided by these rasters is examined within the area parameters dictated by the file “SCoat_whole_50mBuff” and this information is processed and results in a saved output file “%Name%_coast_50m.” the %Name% means that the first part of the saved file name is the individual file name from the extracted raster. I created other models like this one to run other tools and iterate through other datasets. Removing Extraneous Data In order to get more accurate data regarding the topography, it was necessary to remove the data associated with the ocean. In order to capture the coastline, and given its rectangular flight paths, the drone flew over a good deal of water. This data was encompassed in the original orthophoto and DEM outputs but if it was left included in the data, the elevations associated with the varying wave height would add inaccuracies to the terrain (fig. 26). I went through several steps in order to remove this part of the data. 58 First I used the Feature to Polygon tool on all of the DEMs. This created a polygon of the area encompassed by each flight area raster (I used the DEM data to ensure that the outline was that of the images and did not include the black areas around the orthophotos as a result of trying to make them a rectangle). Then I used the merge tool to combine each new polygon with the coastline vector. When this was done, the newly created output files contained a polygon outline of the flight area that was split into two pieces along the path of the shoreline. This allowed me to go in and edit out the area associated with the ocean. The result was a set of polygons that matched the flight areas on their land side, but their southern side conformed to the coastline (fig. 27). These polygons were then used in conjunction with the Clip Raster tool to extract a reduced raster area so that each raster only contained terrestrial data. With ocean associated data gone, when analysis tools were run, no irrelevant ocean data would be included in the results. 59 Figure 26. Removing Extraneous Data Before This image of a flight’s DEM shows how much of the data is water. The red line is the coastline and everything below it is data resulting from the ocean and thus not useful in assessing topography. Figure 27. Removing Extraneous Data After This is the same DEM as the one above in fig. 26 but the undesired ocean data has been removed at the coastline. 60 Elevation and Viewshed Analysis I started to analyze the ahu-topography relationship by looking at the elevation of each ahu. While I had points marked where each ahu was located, I decided not to use a single point to collect elevation data as it would be giving a lot of weight to one single point in the raster. In reality the ahu are large and the resolution of my data is very high so I used a uniform area to get a more representative measure of the local elevation rather than a rock I may or may not have placed the marker on. I created a five-meter buffer around each ahu point which I used as the polygon input when I ran the Zonal Statistics as Table tool (fig. 28). Having the buffer polygon was essential in order to extract the raster data for the area because extracting data from a raster is messy due to the large amount of it. In an attempt to minimize the processing work and time, the Zonal Statistics as Table tool requires a pre-defined area as determined by a shapefile and the tool then summarizes the raster data found within that space. This data is then outputted as a tables which I merged together. In addition to looking at general elevation relationships, I also wanted to analyze how each ahu was located in relationship to its surrounding topography in general. The tool I used to help me look at this was the Visibility spatial analysis tool. This tool is essentially a combination of two other tools, Viewshed and Observer Points, that analyze topography in relation to points in order to determine lines of sight/areas of visibility. When it runs, if there is a large structure or hill that can block visibility the tool will indicate in the output raster that the areas behind it are unable to see the indicated point. In order to run, all of these tools require a DEM (or elevation 61 equivalent) as well as a set of points to analyze the visibility of, in this case these points refer to the ahu locations. The Visibility tool allows you to collect data in one of two ways, one is by frequency (essentially the Viewshed tool) and the other is by observers (the Observer Points tool). The input data is the same for both and visually the outputs look the same (fig. 29) but the main difference lies in how the visibility data is recorded. With frequency, the number of observers who can see a specific location is calculated but no indication is given as to who those observers are. As a result, the attribute table for the created visibility raster is fairly small and only has a couple columns. With observer points, however, the output attribute table indicates exactly which observers can see which areas. For this sort of analysis, the table looks like a matrix. Each observer point is a column and the rows represent various groups of locations within the DEM. If an observation point can see a certain group of locations, a “1” is placed in that row for the observer. Thus, the areas that can only be seen by Observer 1 only have a “1” in the Observer 1 column. If there is a “1” placed in the columns of both Observers 1 and 2 though, this means that both those points can see those associated areas. For my purposes, I preformed my visibility analysis using the observer points because I wanted to get a precise area of observation for each ahu point and the matrix data table was much more conducive to that. First, though, I had to set up my parameters. Visibility is affected by a number of factors and the ArcGIS tool allows for these to be factored in. Parameters can constrict the vertical angle and direction of sight as well as how far the visibility extends (earth curvature can be automatically factored in) but I left these at their default settings; the two that I adjusted were the offset A and 62 offset B. The amount of these offsets, indicate a vertical addition to the surface elevations (z value) with offset A referring to the observation point and offset B referring to the observed areas (the rest of the topography). These are important parameters to include in order to take into account the height associated with the people doing the observing. In order to incorporate it, two new columns must be created in the attribute table of the observation points. For me this was my shapefile of ahu points and for both offset columns I instructed an offset of 1.75, about the height of a person (the DEM is in meters). While the Observer Points tool preforms the same sort of analysis as the Visibility tool, I chose to use the visibility tool because it allows for the non-visible areas to be ignored which made the resulting matrixes simpler. One aspect of the tool, however, is that it can only analyze up to 16 observer points at a time so I split up the points into 6 smaller groups that conformed to the edges of the flight areas and made them their own shapefiles which I used to run the visibility tests. I then used these attribute tables to ensure that each observation point was correctly matched up with its associated ahu ID (the output tables had columns numbered OBS1-16). In order to get the total observable area for each of the ahu, I selected out all the areas associated with each ahu point (rows with “1”) and then summed this area together. This ensured that the area associated with an ahu was not just the area it alone could see but also the area that could be seen by multiple ahu. 63 Figure 28. Elevation within 5m of Ahu The relative elevation around each point is indicated by the color of the 5m circle with green indicting lower elevation and orange/red higher. The red dots are ahu, the yellow image ahu, and the grey unsure (ahu?). Figure 29. Visual Raster Output of Observation Points The colored areas represent the areas visible to the five ahu points located within the DEM. The dark green represents areas that are visible by many locations while the light green areas are areas of low visibility. The area that are not green cannot be seen by, or see any of the ahu. The gray-back background is the flight area DEM underneath the Observation Point raster layer. 64 Extracting Slope Data The first step I took towards collecting data about the slope along the South Coast was create slope rasters for all the flight areas. This was done using the DEM and the slope spatial analysis tool which looks at the elevation data associated with a single raster cell and then compares that to the data from the cells surrounding it in order to determine a slope gradient. The resulting files showed the slope for their respective areas in decimal degrees. I established a set area of 50 meters within which the slope data would be analyzed. I did this because I was interested in getting a general feel for slope in an area and at my high data resolution the slope data for a single point generally had little meaning. Fifty meters was a decision I made as it seemed to allow for the cliff area to always be included in the coastline buffer and gave some room on either side of the ahu for slope variation. Establishing a set area also helped to keep size consistency throughout the data which was important for later statistical analysis. I realized that comparing slope data from around ahu and the coast would not necessarily be that useful since a number of ahu are not right along the coast, so for each ahu I calculated its closest point along the coastline vector (table 3). The resulting table had X,Y coordinates for each of the resulting locations and I used those to create a new shapefile of vector points along the coast. I then created a 50 meter buffer around these points as well as a 50m buffer along my coastline. I also made 50 meter buffers around all of the ahu points as well. 65 Once I had these polygon areas, I used them to cut and extract slope data from the larger slope raster files. To visualize the data I used the Raster Clip tool to clip the slope rasters using the 50 meter buffer created around the closest coast points and I also clipped them with the 50 meter coast buffer. The fact that I could now look at the slope in these areas in isolation was more for my own personal viewing to see the area and data collected rather than for data collection but I found it helpful in understanding exactly what data was being analyzed (fig. 30, 31, 32). To actually collect the slope data for these modified area, I used the Zonal Statistics as Table tool in combination with the already created buffers to act as the constraining boundary for the statistical summary. I collected this data for the 50 meter buffered stretch of coastline (table 7), the 50 meters around each ahu (table 8) and its associated closest coast point (table 6) and processed the resulting sets of data tables. Figure 30. 50m Coast Buffer Isolating Slope Data This image shows one section of coast slope data. The darker brown areas indicate a steeper slope while the lighter areas show gentle to no incline. The red line is the coastline and the ocean data below that line has been removed so only the land data is analyzed. The green dots represent the closest coast points, the red dots ahu, the yellow dots image ahu, and the grey dots unsure ahu (ahu?). 66 Figure 31. 50m Closest Coast Points Buffer Isolating Slope Data This image shows the slope data surrounding 50m of the closest coast points for ahu. The darker brown areas indicate a steeper slope while the lighter areas show gentle to no incline. The red line is the coastline and the ocean data below that line has been removed so only the land data is analyzed despite that the buffers used to extract this data were circular. The green dots represent the closest coast points, the red dots ahu, the yellow dots image ahu, and the grey dots unsure ahu (ahu?). Figure 32. 50m Ahu Buffer Isolating Slope Data This image shows the slope data surrounding ahu for 50 meters. The darker brown areas indicate a steeper slope while the lighter areas show gentle to no incline. The red line is the coastline and the ocean data below that line has been removed so only the land data is analyzed meaning that some buffers are not analyzing a complete circle of data. This is also the result of the edge of the flight area. The green dots represent the closest coast points, the red dots ahu, the yellow dots image ahu, and the grey dots unsure ahu (ahu?) 67 Part 4: Data Analysis and Discussion I organized my data into several questions around which I ran a series of statistical tests. For the most part, these questions revolve around seeing if there is a topographic difference between regular ahu and image ahu through the various ways I used to measure the landscape (ie. elevation, slope, visibility) but there are some questions that are about comparing ahu associated features with the overall topography of the South Coast. 1. Are image ahu at higher elevations than ahu? (Table 3, Appendix B) 2. Do image ahu have a larger viewshed than ahu? (Table 4, Appendix B) 3. Are image ahu closer to the coast than ahu? (Table 5, Appendix B) 4. Is the coastal slope near image ahu less steep than the coastal slope near ahu? (Table 6, Appendix B) 5. Is the coastal slope near image ahu less steep than the general slope of the coast? (Tables 6 & 7, Appendix B) 6. Is the coastal slope near ahu less steep than the general slope of the coast? (Tables 6 & 7, Appendix B) 7. Is the ground slope around image ahu steeper than the ground slope around ahu? (Table 8, Appendix B) Is the ground slope around image ahu steeper than the ground slope around ahu? In order to help answer these questions, I made use of the open source statistics computer software R. R is a programming language and software environment specifically tailored for dealing with statistical computing and graphics. The software provides a platform that makes analyzing data and computing statistics much easier. My use of the program mainly focused around running one type of test because, though the 68 questions and data varied, a t-test could be used to answer all of the topographic relationship questions I’d asked. A t-test is a statistical hypothesis test which uses the average of a group or population in relation to the variation in the data to determine significance. There are a couple different types of t-tests that can be used in different situations but I used a two- sample t-test that compares the mean of two independent samples to each other. Like most statistical tests, a t-test operates on the assumption of a null hypothesis (H0). Often this is a general statement that assumes no effect or difference between groups. Opposite the null hypothesis is the alternative hypothesis (HA) which is the statement hoped to be proved true. It is important to have null and alternate hypotheses because it clarifies the goals of the statistics and helps to ensure that the statistics have purpose. The null and alternative hypotheses for my seven questions are: 1. “Image ahu are not at significantly higher elevations than ahu” (null) and “image ahu are at higher elevations than ahu” (alternative). This alternative hypothesis is founded on the concept that image ahu are costly signals so higher elevation is preferred as discussed in the sections “Costly Signaling and Water” (p. 18), “Topography” (p. 22), and “Visibility in Archeology” (p. 25). 2. “Image ahu do not have significantly larger viesheds than ahu” (null) and “image ahu have larger viewsheds than ahu” (alternative). This alternative hypothesis centers on the concept that image ahu are costly signals so locations with greater visibility are preferred as discussed in the sections “Costly Signaling and Water” (p. 18) and “Visibility in Archeology” (p. 25). 3. “Image ahu are not significantly closer to the coast than ahu” (null) and “image ahu are closer to the coast than ahu” (alternative). This alternative hypothesis is based on the concept that image ahu are markers related to coastal water resources so distance to these resources would be a concern as discussed in the sections “Costly Signaling and Water” (p. 18) and “Topography” (p. 22). 4. “The coastal slope near image ahu is not significantly less steep than the coastal slope near ahu” (null) and “the coastal slope near image ahu is less steep than the coastal slope near ahu” (alternative). This alternative hypothesis 69 is founded on the concept that image ahu are placed in relation to coastal access to water and that less steep slopes provide easier coastal access, as discussed in the sections “Costly Signaling and Water” (p. 18) and “Effect of Slope on Walking” (p. 23). 5. “The coastal slope near image ahu is not significantly less steep than the general slope of the coast” (null) and “the coastal slope near image ahu is less steep than the general slope of the coast” (alternative). This alternative hypothesis is also based on the concept that image ahu are placed in relation to coastal access to water and that less steep slopes provide easier coastal access as discussed in the sections “Costly Signaling and Water” (p. 18) and “Effect of Slope on Walking” (p. 23). 6. “The coastal slope near ahu is not significantly less steep than the general slope of the coast” (null) and “the coastal slope near ahu is less steep than the general slope of the coast” (alternative). This alternative hypothesis centers on the idea that ahu are placed in relation to coastal access to water and that less steep slopes provide easier coastal access as discussed in the sections “Costly Signaling and Water” (p. 18) and “Effect of Slope on Walking” (p. 23). 7. “The groud slope around image ahu is not significantly steeper than the ground slope around ahu” (null) and “the ground slope around image ahu is steeper than the ground slope around ahu” (alternative). This alternative hypothesis is grounded in the ideas that ahu are markers of fresh water and that steeper slopes on land indicate better access to this water as discussed in the sections “Costly Signaling and Water” (p. 18) and “Topography” (p. 22). In statistics, in order for the null hypothesis to be rejected and the alternative accepted, statistical significance needs to be proven. This means showing that the difference in the results did not occur by random chance, which comes in the outputs of a t-test Normalizing Data Before running a t-test, one concern is whether the data being used in the test is normally distributed. Normally distributed data clusters around the mean of the data set and then symmetrically moves out away from the center in decreasing concentrations. The resulting graphic has a peaked middle and flaring sides which is where it gets the colloquial name “Bell Curve.” Having data that conforms to these general parameters of 70 normality is generally required for most statistical assessments because it is an underlying assumption for most parametric tests.57 Unfortunately, raw data often does not conform to a normal distribution. Rather, data can often be concentrated on one side of the graph rather than being evenly distributed in the middle. This is skewed data. If the concentration is more the left on the graph the data is positively skewed and if it’s more clustered on the right the data is negatively skewed. Skewness is important to consider when doing t-tests because t-tests are parametric tests. This means that one of the underlying assumptions of the test is that the data being compared is normally distributed. Thus, if the data is actually skewed, the results can be false and misleading. There are, however, a number of ways to assess the skewness of a dataset. One way is that there is an actual equation that can calculate skewness. There are also histograms which are a type of bar chart used to show statistical information. For these graphs, the dependent variable is graphed along the x-axis in numerical intervals of equal size or “bins” and the bars represent the frequency of data associated with each group. The resulting graph can provide a visual for the data’s distribution so that a person can assess for themselves. There are a number of other ways to help gauge skewness and luckily in the statistical computer software IBM SPSS (Statistical Package for the Social Sciences), they provide a number of them. Their descriptive statistics option made it easy to get such information for various different data sets. When assessing skewness, there are a couple things to go by. One is simply visually, by 57 Laerd Statistics. “Testing for normality.” 71 looking at histograms and other graphic representations as seeing if the data looks off. There are also rules of thumb like normalized data should have a skew value between -1 and 1. If data are very skewed, this does not necessarily preclude it from being a part of t-test of other parametric test because there are ways of transforming data so that it takes on a more normalized shape. There are two main methods for a normalization transformation, one is through the use of log10 and the other via square-root. By applying these functions to a data set, they help to change its distribution while still maintaining the essence and relationships of its original state. If it is desired to revert, these transformation functions can be inverted. Transformation is also different if the skew is positive or negative. With a positive skew the function can just be applied to the data set but if the skew is negative a reflected transformation needs to occur. This does not mean, though, that data must be perfectly normalized in order for a t-test to work. T-tests are fairly robust and there are a number of other factors involved like sample size that can affect the shape of the data. Additionally, assessing skewness in smaller sample sizes can be difficult depending on the data. This is what I found with my data. I looked at histograms and q-q plots as visuals but I sometimes found the patterns in the histograms hard to see so I generally went for a more quantitative rather than qualitative approach, using the rule of thumb that skew should be between -1 and 1 and the Shapiro-Wilk significance test should be greater than .05 to indicate normality.58 58 Shapiro and Wilk. "An analysis of variance test for normality (complete samples)" 1965 72 As you can see in the table on skew indicators, it can be hard to get a transformation that works for both of the data sets involved. Even if one data set is normally distributed, if the other data set isn’t the same transformation needs to be applied to all the variables. This is because though the relative differences stay the same, the unit of measurement changes which affects the differences between the variables.59 From the data, only two sets seemed to already be normally distributed (both the ahu groups associated with Observable Data and Slope Around Ahu). No transformation adequately worked to help normalize the ahu data for Slope Around Closest Coast Points and there were also problems with transformations in conjunction with the Whole Coast Slope data. After having gone through the data and also looked at the accompanying graphics I decided to just leave the data as it was and not transform any of it. 59 Francis and Field. Discovering Statistics Using SPSS. 2011. 73 Table: Skew Indicators Type of data and type of ahu Ahu Type Normal Log10 SquareRoot Skew Shapiro-Wilk skew Shapiro-Wilk skew Shapiro-Wilk Elevation Ahu 0.043 0.217 -1.072 0.01 -0.478 0.13 Image Ahu 1.846 0.004 -0.787 0.25 0.615 0.411 Observable Area Ahu 0.059 0.462 Image Ahu 0.373 0.278 Distance to Coast Ahu 0.894 0.075 -0.174 0.45 0.439 0.326 Image Ahu 1.096 0.003 0.624 0.051 0.879 0.012 Slope Around Closest Coast Point Ahu -1.666 0.011 -1.185 0.001 -2.042 0.002 Image Ahu -0.884 0.218 -1.476 0.012 -1.185 0.058 Whole Coast Slope -1.016 0.09 -1.666 0.009 -0.201 0.178 Slope Around ahu Ahu 0.701 0.148 Image Ahu -0.443 0.179 This table shows the different values for two tests of normalcy, skew and Shapiro-Wilk as they applied to different data sets under different conditions. Each row “block” is its own set of data and the subset rows indicate the subset divisions of data by ahu type. “Normal,” “Log10,” and “SquareRoot” refer to when that transformation was applied to the data. Normalcy for Skew is a value between -1 – 1 and for Shapiro-Wilk it’s any number above 0.05. The two areas are blanked out because their initial data values meet the normalcy requirement. The T-Test A t-test is a hypothesis test using the average of one or two data sets. There are a couple different types but I used a two-sample t-test because it tests whether or not there is a significant difference between the averages of two independent groups, which applies exactly to all of my research questions. Additionally, the t-test is fairly good with smaller sample sizes and even if a dataset is not normally distributed, a t-test is generally still valid unless the data is extremely skewed. 74 T-tests compare the mean of the two data sets in an attempt to show if there is a significant difference between the two, the likelihood of any difference occurring by chance. In equations, statistical significance is generally represented by “p” which stands for probability. Another common symbol when determining significance is alpha (α) which refers to random chance. The α value commonly referenced in significance statistics is 0.05. Often this number is used as a cut-off for significance if a result is less than this, it means that the chance of such a result occurring randomly is less than 1 in in 20 and this is considered to be unlikely enough to conclude that the result is not random. When preforming a t-test, or any test of significance, there are two ways to look at the results. One way is called a one-tailed test and the other is a two-tailed test. With a two-tailed test, significance and difference are being looked for at both extreme ends of the data. And the alpha is split between the two extremes. With a one tailed test, though, significance is only being looked for one side of the data. This means that the whole alpha does not have to be split up. The main deciding factor in whether a one or two-tailed test is run lies in the wording of the research and study question. If the question mentions “greater,” “less than,” or other ranking indicator, a one-tailed test is used but if the question simply refers to there being a difference, then the test is two- tailed. All of my questions have words such as “higher,” “larger,” “closer,” and “steeper” so I ran one-tailed tests. Preforming a t-test within R is fairly simple. First the data needs to be organized into separate columns in a CSV (Comma-Separated Values) or a Tab-delineated file. This information is then brought in, or “read in,” to R via certain commands and given a 75 variable name. The columns of data within the table can then be accessed through the use of the files variable name, followed by a “$” and then the header of the column. To run a t-test, the command “t.test” is used in conjunction with the variables being compared, but this automatically runs a two-tailed t-test. In order to run a one-tailed test, alt=“greater” or alt=“less” is also typed as part of the t.test command. Whether “greater” or “less” is used depends on the alternative hypothesis being studied and is in relation from the first variable to the second variable. For example, (assuming a fake dataset named “Trial”): t.test(Trial$X, Trial$Y, alt=”greater”) In this instance, the one-tailed test being run is comparing the mean variable “X” of the dataset “Trial” to variable “Y” and with the alternative hypothesis guessing that the mean of variable “X” is greater than that of “Y.” 76 In order to answer my seven questions I ran one-tailed t-tests on my data and these were my results: 1. Are image ahu at higher elevations than ahu? Figure 33. Elevation t-Test Results The t-test p-value is 0.6905 which means that I must accept my null hypothesis that image ahu are not higher than ahu. 2. Do image ahu have a larger viewshed than ahu? Figure 34. Area Visible by Ahu t-Test Results A p-value of 0.8678 means that I cannot reject my null hypothesis and thus image ahu do not have a significantly greater viewshed then ahu. The image ahu mean (13,676,827) is actually smaller than that of ahu (67,185,809) rather than greater so insignificance is expected. 77 3. Are image ahu closer to the coast than ahu? Figure 35. Distance to Closest Coast Point t-Test Results A p-value of 0.4104 indicates that image ahu are not significantly closer to the coast then ahu. 4. Is the coastal slope near image ahu less steep than the coastal slope near ahu? Figure 36. Slope Surrounding Closest Coast Points t-Test Results A p-value of 0.5349 shows that the coastal slope close to image ahu is not less steep than that associated with ahu. Though the difference is not large, the image ahu mean (17.57) is actually greater than that of ahu (17.46) rather than less so insignificance is expected. 78 5. Is the coastal slope near image ahu less steep than the general slope of the coast? Figure 37. Slope Comparison between Image Ahu and Coastline t-Test Results The p-value is 0.4653 which means that the null hypothesis is accepted. This means that the coastal slope close to image ahu is not less steep than that associated with the general coastline. 6. Is the coastal slope near ahu less steep than the general slope of the coast? Figure 38. Slope Comparison between Ahu and Coastline t-Test Results The p-value of 0.4027 is well above the 0.05 alpha value which means that the null hypothesis must be accepted which says that the coastal slope close to ahu is not less steep than that associated with the general coastline. 79 7. Is the ground slope around image ahu steeper than the ground slope around ahu? Figure 39. Slope around Ahu t-Test Results The p-value of 0.5408 signifies that the slope surrounding image ahu is not steeper than the coast surrounding ahu. Overall, my p-values were: 0.6905, 0.8678, 0.4104, 0.5349, 0.4653, 0.4027, and 0.5408. All of these are well above the 0.05 alpha value so I accepted all of my null hypotheses. This means that none of my predictions about the relationship between ahu, image ahu, and topography are true. Discussion While the questions I was asking over the course of this research had to do with topography in regards to analysis, beneath it all were underlying questions about costly signaling and water resources; could topographic analysis reveal or prove something about ahu in relation to these concepts, concepts that could provide great insight into the ancient Rapanui culture. Thus, the questions about visibility and elevation were actually about costly signaling and the other questions about slopes and distance to coast were actually questions about proximity to water resources, whether image ahu 80 indicated locations with access to water. I had originally thought that image ahu, given their associated maoi and likely existence as costly signals would be placed in areas of higher elevation where they would be the most visible, where they would be able to signal the most. I had also believed that image ahu would be in areas closer to coastal resources as well as near areas where these resources would be the most accessible. Though my statistical results do not indicate that these topographic differences exist between the ahu features, this does not mean that the underlying theories about ahu signaling and demarcation of water resources is false. My results simply show that other factors could be more important in regards to why ahu were placed where they were on the landscape. One of these features could actually be the water data itself. My analysis of slopes and coastal distance was merely an attempt to see if any resource relationship manifested itself in a spatial on as well. In reality the hydrology and geography of Rapa Nui might result in coastal water outflows in locations that do not necessarily correspond with areas of easy coastal access. This question is currently the thesis subject of another student (Sadie Trush) in the Clark Honors College (currently set to defend in 2016) and I am interested to hear about the results of her analysis. Another aspect that could be a factor as to why these architectural structures are located in certain places is time. My analysis was a pure spatial analysis because I assumed that time played no factor. In reality, however, chronology could be important, with ahu built at different times having different purposes that resulted in different spatial relationships. It is known that some ahu were rebuilt during the time of the ancient Rapanui and there are also some structures that could have been built 81 historically. This data thus shows that perhaps factors other than topography are more important in terms of understanding ahu placement. Errors Unfortunately, there was some error in my analysis and data. Some of this error lies in the SfM data processing. As stated in the “Error” section in Part 3, no ground calibration points were used to help correct for error in the consumer-grade GPS and no testing or correction was done for any doming affect. All of this could have an impact on the data. There were other error sources, however, that were not just SfM. One large source of analysis error lies in how the viewshed data was processed. A continuous elevation surface is key to this analysis but my analysis was hampered by the restricting flight areas. Though the detail was fantastic, my rasters were too big to merge together which meant that the viewshed for each point was only calculated for within that limited area. This is problematic as key amounts of area may be excluded simply because they are located outside of the arbitrarily located flight zone. Those ahu that were located in the overlap between two flight zones had two different viewsheds that were combined together (with the redundant data due to the overlap removed) but not all ahu got this. A complete viewshed was not collected for every ahu point, even for those with a combined viewshed area due to overlap, so it is hard to accurately understand assess the results of this analysis (question #2). Another cause for analysis concern in in the size of the slope buffer area. For all of my slope analyses I used a buffer area with a radius of 50m from the feature in question. The reason for this was because in some places, the coastline was further away from the cliffs. Thus, in order to ensure that the cliff areas (ie. Where the livable 82 land began) were always included, I chose a 50m buffer area. Unfortunately, slope is a concept that is very sensitive to scale and the 50 meter buffer I used in my data collection could easily be too big to accurately show the topographic nuances of Rapa Nui’s south coast. There might be topographic differences there but my analysis simply aggregated too much data together to reflect it. Future Research As a result of these areas of error, there are a couple things I would do if I was to further this research. One of the first and easiest things would be to would be to try analyzing the slope with different buffer areas to see if there are any different results. If ground calibration points could be collected during another trip to Rapa Nui, they could be applied to the SfM results in order to lessen any error in the data. In order to correct for the visibility analysis error, preforming a viewshed analysis with a more complete DEM could produce more reliable results. Unfortunately, such a publically accessible dataset does not yet exist. From my understanding there is a 30m DEM from satellites but just as my 3cm SfM resolution was too small, this is too big. It won’t be able to get the nuances of the topographic data that distinguishes the ahu. Ideally this analysis would use a 1m LiDAR DEM but to my knowledge, such a dataset does not yet exist. Another analysis test that could be run is a least-coast path. This tool can take into account elevation and the work associated with it in order to calculate the path between points that will require the least amount of work and energy expenditure. This would be a particularly strong analysis tool to use because the 3cm resolution of the dataset is at a human, walking-scale level. If this analysis is performed with a DEM of a 83 few meters, the results are still useful, but for short distances and more realistic results, having the finer detail is a great advantage and could produce some interesting results. In addition to these topics, one major area for further study is the testing of random points in comparison to the ahu locations. This would be a true null hypothesis as it would see if there is any topographic relationship as to how the ahu are placed or if they are equivalent to points picked at random along the coast. Though no statistical difference was shown between the two types of ahu, I believe that preforming this true null hypothesis test would show that ahu locations are not just random points in regards to topography. I think this would be particularly obvious when comparing the distance to the coast. While there are a few ahu further inland than others, the majority are very near the coastline and this is true throughout the island, not just on the south coast (fig. 1). This is one obvious spatial relationship and I think it would be reflected through the running of the true null hypothesis. 84 Part 5: Conclusion The main reason for conducting this study and topographic analysis was to further the research and understanding into the lives and society of the ancient Rapanui. It is obvious given the amount of effort put into the construction of the moai and ahu that they played an important part in Rapanui culture and by better understanding the purpose of these features, we better understand the lives of those who built them. My examination into the relationship between topography and ahu is just one attempt to understand this purpose. Given the possible errors and incomplete topographic data analysis as talked about in the previous Discussion section, I am hesitant to definitively say that there is absolutely no relationship between ahu and topography. That being said, however, none of the results of my tests were all that close to being significant. To me this means that if any topographic relationship exists for ahu, it exists on a smaller scale than I was able to capture with my slope areas, in the incomplete visibility areas, or in some manner that I did not think of. Rather, I think that this is simply an indication that other factors play a larger role in the purpose of these structures, factors that do not have a topographic manifestation. This study was just one in a number of studies, tests, and projects meant to contribute towards the research being conducted by Drs. Hunt and Lipo on Rapa Nui on relation to the prehistoric and current water resources there. Since this study was solely focused on the southern coast of the island, I hope that my work and methods can lay a groundwork for others and encourage the continued study of topographic relationships both on Rapa Nui and off it. There is undoubtedly much research still to be done in this 85 regard and much still to be discovered and learned from Rapa Nui. My study on topography has added to this growing knowledge and understanding about ahu, their purpose, and the people who built them. 86 Appendix A: Terms Ahu- long, low platforms built by the ancient Rapanui that are generally found near the coast. Generally “ahu” (in italics) refers to all such long low platforms. When I conducted my analysis, I classified those ahu without moai associated with them as “ahu” while those with moai became “image ahu” Alpha (α)- in statistics, it refers to the probability level of rejecting the null hypothesis when it is in fact true. To keep this from happening, a probability level of 95% or 0.05 is generally used to determine significance. If a p-value is less than .05 than the null hypothesis is rejected, but if the p-value is greater, the null hypothesis is accepted. Attribute Table- the information table that accompanies each GIS shapefile. Each row is associated with a vector feature within the shapefile. Columns contain information about various fields for each feature. DEM (Digital Elevation Model)- a graphical output/file that depicts the topography of the region in question Geographic Coordinate System (GCS)- a geographic locating system associated with a 3D spherical surface. This is how places are located on a globe. A grid is created over the surface with lines of latitude running parallel around the sphere and longitude lines beings meridians. Longitude and latitude refer to angles measured from the center of the earth to the surface and are generally described in degrees. With this grid, every point on the surface can be referenced by a longitude and latitude value. Ground Control Points (GCPs)- Points on the ground with a known GPS location that are used to calibrate the output structure from motion features. They help ensure data accuracy as they ground the constructed models. Image ahu- long low platforms built by the ancient Rapanui that have moai associated with them (historically the stood on top of the platform) Kurtosis- A measure in statistics used to indicated the peakedness or flatness of a data set. 87 LiDAR- Light Detection and Ranging. A form of active remote sensing where a laser beam is emitted from an aerial platform and the differing return times are analyzed to determine the surface. The use of a laser allows for multiple returns which makes it possible for ground topography to be recorded even in the presence of vegetation. Lithic Mulching- a form of agriculture that places small to medium sized rocks in the desirered growing area in order to put nutrients back into the ground and help retain water moisture in the soil. Manavai- a small enclosure created by a low stone wall. These features were constructed by the ancient Rapanui as a strategy for growing crops. The enclosed area is more protected from the wind and the soil has more nutrients. Moai- the large stone statues built on ancient Rapa Nui Orthophoto- an aerial photograph that is geometrically corrected to have a uniform scale P-value- in statistics, the p-value is a function of the observed sample results used for testing a statistical hypothesis. It represents the probability of the occurrence of a single event. Projected Coordinate System (PCS)- a geographic coordinate system that has been projected onto a flat surface. The process of changing 3D features to 2D creates distortions within the projection. There are a wide variety of projections and different projections have different advantages, fidelity of shape, area, and direction cannot exist all at once so projections are chosen based off of the desired purpose of the map. There is more accuracy towards the center of a projection so a singly type of projection may have multiple versions where the center is placed in different locations. Puna- A structure created by the ancient Rapa Nui considered to be a well. Though there is also some confusion about whether some were boat ramps. Ranu Raraku- the quarry where the moai statues were carved out of the hillside by the pre-historic Rapanui Rapa Nui- the local name for Easter Island 88 Skew- In statistics, if one side of a dataset is more heavily favored. It is a measure of symmetry and often used in determining whether a data set fits a normal distribution. Structure from Motion (SfM)- A way to process images in order to create a 3D model of the observed area. The process uses a computer program and many overlapping images taken from different angles to composite the final model together T-test- a statistical examination of the of the two different population means. Taheta- rocks carved into basins. Thought to have been for holding water. Trilateration- The calculation of a point in 3Demensional space. This is similar to triangulation but triangulation refers to working with angles whereas trilateration refers to working with working with distances. This is how GPS calculates position because it uses speed and time to determine distance. Trimble- name of the company that made the drone we used UAV-Unmanned Aerial Vehicle Yuma- name of the hand-held tablet computer used to program and communicate with the drone 89 Appendix B: Tables Nu m be r ( N) Fl ig ht D at e Da te F lig ht # O ve ra ll Fl ig ht # # of P ic tu re s De sc rip tio n 1 13 -Ja n 2 10 36 7 Fu rth es t w es t ( le ft) o f S c oa st 2 9- Ja n 1 1 86 1 Q ua rry 3 9- Ja n 2 2 86 9 rig ht o f q ua rry 4 13 -Ja n 1 9 93 8 5 13 -Ja n 3 11 39 1 Ha ng a Te 'e 6 15 -Ja n 1 16 62 1 7 17 -Ja n 3 25 82 1 lo ng , m ai nl y no n- co as ta l o ve r t he to p of a nd ov er la pp in g N4 -6 8 15 -Ja n 2 17 93 1 9 16 -Ja n 2 19 93 5 10 16 -Ja n 3 20 98 1 W es t s id e of A ka ha ng a 11 10 -Ja n 1 2! 87 4 Ea st s id e of A ka ha ng a. #2 ! b /c a cc id en tly pr es se d re fly fl ig ht fo r C IR o f N 3 an d ca n' t j um p st ra ig ht to fl ig ht 4 12 16 -Ja n 4 21 10 28 To p. In la nd fl ig ht o ve rla pp in g N1 0- 11 13 10 -Ja n 2 4 89 4 La un ch ed a nd fl ew n ea r A ka ha ng a. C ra sh ed du rin g la nd in g b/ c sm al l l an di ng zo ne a nd to o w in dy . C am e up ~ 30 m s ho rt of la nd in g zo ne 14 11 -Ja n 1 5 85 3 Fl ew in th e m or ni ng . L ig ht w in d & s un ny 15 11 -Ja n 2 6 62 7 Ha ng a Te te ng a. L an de d sh or te r t ha n ex pe ct ed b/ c m or e he ad w in d th an 1 st fl ig ht 16 12 -Ja n 1 7 92 5 Li ttl e w in d. L au nc h ~9 am fr om H an ga T et en ga . 17 17 -Ja n 2 24 93 4 To p. In la nd fl ig ht o n to p of N 15 18 17 -Ja n 1 23 87 8 To p. In la nd fl ig ht o n to p of N 16 19 12 -Ja n 2 8 83 1 W in d sl ig ht ly s tro ng er th an fl ig ht 7. C ra ck ed th e le ns e fli gh te r c ov er fo r c am er a on la nd in g 20 14 -Ja n 1 12 10 53 Ta bl e 1: B as ic F lig ht D at a 90 N um be r ( N) Fl ig ht D at e Da te F lig ht # O ve ra ll Fl ig ht # # of P ic tu re s De sc rip tio n 21 14 -Ja n 2 13 11 24 22 3 14 -Ja n 3& 4 14 & 15 14 =6 65 , 1 5= 37 4 To ng ar ik i co m bi ne d fli gh ts . F ar e as t ( rig ht ) o f So ut h co as t 10 1 9- Ja n 3 3/ 2b 87 3 Sa m e ar ea a s fli gh t 2 (N 3) b ut w ith th er m al (C IR ) 10 2 16 -Ja n 1 18 57 6 La rg e ov er la pp in g fli gh t. Ac ci de nt al ly fl ow n at 22 5m n ot 1 00 m 10 3 16 -Ja n 5 22 43 6 Ra nu R ar ak u. F lig ht H ei gh t @ 22 5m 10 4 17 -Ja n 4 26 26 6 Te pe u ou t o n NW c oa st (l as t f lig ht o f s ta y) Th is ta bl e sh ow s s om e of th e ba si c da ta a bo ut th e va rio us d ro ne fl ig ht s f lo w n on R ap a N ui . T he o rd er in w hi ch th e fli gh ts w er e flo w n w er e no t l in ea r i n re la tio n to th e co as t, th is is th e O ve ra ll Fl ig ht # . F or o rg an iz at io na l p ur po se s, I r e- nu m be re d th e fli gh t i m ag es in to a g en er al o rd er m ov in g fr om w es t t o ea st a lo ng th e so ut h co as t a nd th is is th e N um be r ( N ). N um be rs 1 -2 23 (a c om bo o f 2 2 an d 23 ) a re im ag es o f t he so ut h co as t a nd th e on es th at I us ed fo r m y da ta . N um be rs 1 01 -1 04 w er e ot he r fli gh ts w e fle w a t d iff er en t h ei gh ts a nd o f d iff er en t p la ce s f or re se ar ch p ur po se s b ut a re n ot re la te d to th e re se ar ch I am co nd uc tin g. T he D at e Fl ig ht # re fe rs to th e fli gh t’s o rd er in th e da y’ s l au nc he s s in ce m or e th an o ne fl ig ht w as fl ow n pe r d ay . Th e # of P ic tu re s r ef er s t o ho w m an y im ag es w er e ta ke n by th e dr on e w hi le fl yi ng o ve r t he a re a. F or N 1- 22 3, th e av er ag e nu m be r o f p ic tu re s t ak en p er fl ig ht w as a pp ro xi m at el y 85 3. 91 Ahu_ID Pi c_ O rd er (N ) Po in tP ic ID Ca te go ry N ot es 1 2 2. 1 ah u Al so in P ic # 1 2 2 2. 2 ah u Cl os e to co as t/ cl iff . R am p to ri gh t 3 2 2. 3 ah u Sm al l. De pr es se d ar ea b eh in d it/ on o ce an si de . C IR sh ow ed w at er ? 4 2 2. 4 ah u? Pa rt w al l? M ay be a ll w al l? N ea r d irt ro ad 5 2 2. 5 im ag e ah u co ve re d m oa i b /c cl os e to q ua rr y. C lo se to ro ad w he re it b en ds 6 1 1. 1 ah u? Co ul d ea si ly ju st b e ro ck s/ ol d w al l b its . C lo se to cl iff 7 4 4. 1 ah u? Q ue st io na bl e ah u. R ig ht o n co as t/ cl iff 8 4 4. 2 ah u? Q ue st io na bl e ah u. sm al l 9 4 4. 3 ah u? Q ue st io na bl e ah u. n ea r c lif f. ta rp o ve r p ar t o f i t 10 4 4. 4 im ag e ah u La rg e. w / f al le n m oa i. w al l i nc lu de a hu a s o ne p ar t o f e nc lo se m en t. M ay be sm al l o ne b eh in d? 11 4 4. 5 ah u sm al le r a nd o ff to th e SE si de o f t he b ig im ag e ah u (4 .3 ) 12 5 5. 1 ah u sm al le r. To w ar d ba ck o f b ay . M ai n id en tif ie r p la ce d st on es /" po rc h" 13 5 5. 2 im ag e ah u bi g. F al le n m oa i. Sc at te rd h at s. N ea r b ay /i nl et a nd o ce an . 14 5 5. 3 ah u? M ay be . g ra ss b eh in d, cl os e to cl iff a nd d irt ro ad g oi ng d ow n 15 6 6. 1 ah u lo ng . M id w ay b tw ro ad a nd co as t 16 6 6. 2 ah u x2 ? La rg e ba ck w al l s to ne s. A t b ac k of b ay /i nl et . 2 nd a hu a t d ia go na l, di ff er en t a ge s? 17 6 6. 3 ah u? sm al l. ba ck a nd w es t o f 6 .4 . I n gr as sy , r oc ky a re a ba ck fr om w at er . cu rv ed ? no w in gs 18 6 6. 4 ah u la rg e. m ay be im ag e? N ea r r oc ky , f la t c oa st 19 6 6. 5 ah u lo ng ri gh t a lo ng co as t. no t c lif fy . p an in su la w / g ra ss y fli gh t f ie ld 20 6 6. 6 ah u lo ng . c lo se to sh or e. n ea r 6 .5 . p an in su la w / g ra ss y fli gh t f ie ld 21 6 6. 7 ah u? M ay be ? or m ay be w al l. ve ry fa in t o ut lin e 22 3 3. 1 im ag e ah u Im ag e ah u. O n "p oi nt " o f l an d. N ot cl iff y, e sp ec ia lly b ac k of n ea rb y in le t. Fa lle n m oa i a nd h at s Ta bl e 2: B as ic A hu D at a 92 A hu _I D Pi c_ O rd er (N ) Po in tP ic ID Ca te go ry N ot es 23 8 8. 1 ah u? lo ng , w al l b ui lt ov er p ar t, m ak es it sl ig ht ly u nc er ta in . N ea r b ac k of in le t. ge nt le co as ta l s lo pe 24 8 8. 2 ah u sm al l. on o th er si de o f r oa d, b ut n ea r b ac k of in le t. ba ck w al l s to ne s cl ea r/ in lin e 25 8 8. 3 ah u lo ng , m ay be 2 in 1/ bu ilt o nt op o f e ac ho th er . N ea r c oa st a nd ro ad . g en tle sl op e. n o m oa i? 26 9 9. 1 ah u? sm al l. M ay be a hu . N ea r r oa d an d co as t. no t t oo st ee p ac es s t o w at er ? Ro ck y 27 9 9. 2 ah u? m ay be . o n ot he r s id e of ro ad b ut st ill cl os e to w at er . n ea r w al l. no t t oo bi g 28 10 10 .1 im ag e ah u 2i n1 a hu . M ay be m or e. ca n se e di ff a ng le s. fa lle n m oa i a nd h at s. n ea r sl op in g w at er a cc es s 29 10 10 .2 im ag e ah u 1 fa lle n m oa i. no t m uc h le ft . D ire ct ly b eh in d = ea sy sl op e to w at er . Pu na ? ba ck o f i nl et 30 10 10 .3 im ag e ah u Fa lle n m oa i a nd h at s. la rg e. n ea r 1 0. 2 bu t m or e ou t o n po in t o f l an d 31 10 10 .4 ah u? sm al le r. M ay be a hu . t o rig ht o f 1 0. 3. m or e cl iff y 32 10 10 .5 ah u la rg er . a w ay fr om co as t, ot he r s id e of ro ad . B ig b ac k st on es . 33 10 10 .6 ah u? M ay be a hu . h as th e lo ng sh ap e, b ut m ay be a ch ic ke n ho us e re co ns tu ct io n th in g? 34 10 10 .7 ah u? m ay be a hu ? M ai n as pe ct is th e lo ng fo rm o f r oc ks w / s qu ar ed e nd s. n o bi g st on es 35 10 10 .8 ah u? m ay be . 1 si de o f b ac k co nt in ue s a s w al l. on e en d sq ua re d. S ee m s w id e at p la ce s 36 11 11 .1 ah u lo ng , i nt ac t w / t ap er ed e nd s a nd b ul ge in m id dl e. n o bi g w al l s to ne s. N ea r e as y sh or e ac ce ss , l ef t 37 11 11 .2 im ag e ah u sq ua ris h. si de w al ls /e dg es m os t d is tin ct . f al le n m oa i. O n ot he r s id e of ro ad b ut n ea r b ac k of in le t 93 A hu _I D Pi c_ O rd er (N ) Po in tP ic ID Ca te go ry N ot es 38 13 13 .1 im ag e ah u Cp t. Co ok 's ah u. O th er si de o f r oa d bu t n ea ris h w at er . F al le n m oa i 39 13 13 .2 ah u pa rt o f l ar ge b ac k ro ck s c le ar , f ai nt o ut lin g of sq ua ris h fo rm st re tc hi ng ou t f ro m it . C lif fy 40 13 13 .3 ah u 2i n1 ? re ct an gu la r o ut lin e pr et ty cl ea r. bi gg er o ne "o nt op " o f s m al le r? 41 13 13 .4 ah u? ah u? F ar fr om co as t. 1 fa lle n m oa i n ea r. fa in t s tr ai gh t l in es o f s to ne s. ro un de d "p or ch " s to ne s? 42 14 14 .1 ah u? m ay be ? ju st re ct an gu la r o ut lin e. n ot ra is ed 1 la ye r o f s to ne s? fa r f ro m se a, cl os e to o th er fe at ur es 43 14 14 .2 ah u? m ay be ? lo ng ce nt er w al l? w / m an av i s ur ou nd in g. W al l w / 2 si de s a nd ce nt er . f ar fr om o ce an 44 14 14 .3 im ag e ah u fa lle n m oa i. 2p ar ts ? ba ck a nd fr on t. 1 w al l r ig ht a lo ng cl iff /e dg e go in g do w n to th e se a. n ea r p un a? 46 14 14 .5 ah u st ub by /s qu ar is h. 1 b ig ge r, 1 sm al le r. fa r f ro m o ce an . d on 't re al ly se e hi nt o f " w in gs " 47 15 15 .1 im ag e ah u lo ng . 2 p ar ts ? bu lg e in b ac k. fa lle n m oa i. Ri gh t a lo ng co as t w / g en tle sl op e 48 15 15 .2 ah u? M ay be if m or e ov er -g ro w n? h as h as ri gh t s ha pe b ut ro ck s n ot v er y cl ea r. ne ar e as y sl op e to se a 49 16 16 .1 im ag e ah u sm al l t o ha ve fa lle n m oa i ( 1? ). st ru ct ur e no t w el l d ef in ed . b it of b ac k w al l. al on g co as t b ut cl iff y 50 16 16 .2 ah u? m ay be ? sm al l. ha s w in gs b ut in o dd o si tio n w / b ed ro ck ru nn in g un de r. N ot q ui te p er p to co as t 51 16 16 .3 ah u lo ng . t ap pe re d en ds . n ea r s lo pi ng o ce an a cc es s o n le ft , r ig ht , f ro nt (? ) 52 16 16 .4 ah u lo ng , m or e sq ua re d. ri gh t b y/ be hi nd /f ro nt o f s lo pe /r am p to th e oc ea n 53 16 16 .5 ah u? M ay be ? de fin ite ly m an av ai b ui lt ar ou nd ce nt er w al l(? ) m ay be m an av ai on si de o f a hu ? 94 Ahu_ ID Pi c_ O rd er (N ) Po in tP ic ID Ca te go ry N ot es 54 16 16 .6 ah u? m ay be ? ne ar co as t ( cl iff is h) . n ot v er y cl ea r s ha pe , m or e bl ob bi sh w / ta il. 55 18 18 .1 ah u? ve ry a hu in sh ap e w / t ap er ed e nd s b ut fa r f ro m se a an d w / m an av ai o n ei th er si de 56 19 19 .1 im ag e ah u lo ng p ile o f r oc ks w / t ap er ed e nd s & su rr ou nd in g sq ua re o ut lin e. n ea r co as t 57 19 19 .2 ah u? m ay be ? Co ul d be w al l w / s ur ou nd in g ro ck s? D oe s h av e bi t o f t ap er . Cl os e to co as t 58 19 19 .3 im ag e ah u? m ay be a hu ? 1 m oa i. rig ht p os iti on & sh ap e bu t o dd w al l? in te rs ec ts pe rp en di cu la r 59 19 19 .4 ah u? m ay be a hu o r j us t w al l w / s to ne s p ile d on 1 si de . n ea r l es s c lif fy co as t ac ce ss 60 19 19 .5 ah u? Pr et ty su re n ot a hu b ut m ay be ? m or e in la nd w / m an av ai & 1 fa lle n m oa i 61 20 20 .1 ah u ta pe re d en ds . n ea r c oa st e as y ac ce ss to o ce an ? 62 20 20 .2 im ag e ah u 2i n1 . c an se e ov er la pp in g ah u st uc tu re s. se ve ra l f al le n m oa i. ea sy o ce an ac ce ss 63 21 21 .1 ah u? m ay be ? sm al l, co ul d be w al l w / r oc ks o n 1 si de . n ea r c oa st 64 21 21 .2 ah u? m ay be ? sm al l, so rt o f t ap er ed e nd s? m ay be ju st w al l ( sp lit s w / t ap er ). co as t a cc es s 65 21 21 .3 im ag e ah u? bi g ah u. m or e su re a hu b ut st ill . b ac k w al l s om e ne ar fa lle n m oa i 66 21 21 .4 ah u? ah u? m ay be 2 in 1. en ds se em ed sq ua re d of f, co up le m an av ai . n ot q ui te rig ht a ng le to co as t 95 Ahu_ ID Pi c_ O rd er (N ) Po in tP ic ID Ca te go ry N ot es 67 21 21 .5 ah u? m ay be ? w or ki ng o ff n at ur al ro ck fe at ur es ? ju st o ne e nd . n ea r c oa st ac ce ss (b eh in d& to si de ) 68 22 22 .1 im ag e ah u To ng ar ik i. N um er ou s r e- er ec te d ah u. e as y oc ea n ac ce ss . a t b ac k of in le t 69 23 23 .1 im ag e ah u sm al l a hu w / f al le n m oa i. ca n se e on e sq ua re d en d. B it fa r f ro m w at er bu t e as y co as t a cc es s Th is ta bl e sh ow s t he d at a as so ci at ed w ith th e ah u I i de nt ifi ed o n th e su rf ac e. A hu _I D re fe rs a n in di vi du al ID n um be r g iv en to e ac h ah u an d is u se d in o th er ta bl es to c on ne ct d at a to th ei r a ss oc ia te d ah u. P ic _O rd er (N ) r ef er s t o th e ge ne ra l p la ce m en t o f t he a hu ’s so ur ce im ag e’ s p os iti on a lo ng th e so ut h co as t i n re la tio n to th e ot he r i m ag es (s ee ta bl e 1) a nd th e Po in tP ic ID g iv es re fe re nc e to th e so ur ce im ag e w hi le a ls o id en tif yi ng it in re la tio n to th e ot he r a hu a ss oc ia te d w ith th at im ag e. I pl ac ed e ac h po in t/l oc at io n in o ne o f 4 ca te go rie s: “ A hu ” m ea ns th at I am su re th at th e fe at ur e is a n ah u bu t i t h as n o m oa i, “I m ag e ah u” m ea ns th at th e fe at ur e is a n ah u an d th at th er e ar e m oa i o n/ ne ar it , “ A hu ?” m ea ns th at I am n ot su re if th e st ru ct ur e is a n ah u (ie . i t c ou ld b e so m e ot he r b e an o ld w al l o r j us t r ub bl e) a nd “ Im ag e ah u” re fe rs to st ru ct ur es w ith n ea rb y/ as so ci at ed m oa i b ut I ca n’ t b e su re if th is is a cc id en ta l o f t he st ru ct ur e re al ly is a n ah u. T hi s i s t he sm al le st c at eg or y. 96 Ta bl e 3: A hu E le va tio n D at a Ahu_ID Catego ry COUNT (pixels ) ARE A MIN MAX RANGE MEAN STD 1 ahu 5258 78.170 52985 35.770 54596 38.970 62302 3.2000 77057 37.442 82974 0.7508 44709 2 ahu 5257 78.155 66288 20.219 80667 21.805 11475 1.5853 08075 20.905 96939 0.3915 22837 3 ahu 5259 78.185 39682 15.374 93896 17.173 73276 1.7987 93793 16.467 17508 0.3672 14494 4 ahu? 5250 78.051 59408 29.432 26624 30.588 23967 1.1559 73434 30.163 13582 0.2395 5855 5im age ah u 5263 78.244 8647 40.988 1897 43.957 16095 2.9689 71252 42.793 00643 0.9140 0665 6 ahu? 10874 78.153 37235 22.323 30132 26.713 71651 4.3904 15192 25.003 21591 1.2577 70847 7 ahu? 14573 78.117 63711 14.068 81905 15.723 85597 1.6550 36926 14.921 61981 0.3872 86827 8 ahu? 14566 78.080 11405 9.1146 54541 10.461 66801 1.3470 13474 9.5476 80665 0.2552 13843 9 ahu? 14580 78.155 16016 3.1313 50517 3.8471 53187 0.7158 0267 3.4326 46997 0.1593 51965 10 image ahu 14589 78.203 40409 2.7678 88546 4.8349 0324 2.0670 14694 3.6311 77232 0.5145 06547 11 ahu 14579 78.149 79972 0.8013 6013 2.6770 35809 1.8756 75678 1.7990 51096 0.2517 7592 12 ahu 17659 78.158 27909 -1.5768 96667 1.1741 06598 2.7510 03265 0.5260 74197 0.5484 69785 13 image ahu 11685 78.129 52953 -4.2040 84396 -1.4114 96997 2.7925 87399 -2.8606 6489 0.7332 01911 14 ahu? 17649 78.114 01935 5.5243 64471 7.0937 70981 1.5694 06509 6.1846 84635 0.3624 83912 15 ahu 17659 78.158 27909 15.191 66946 17.515 83099 2.3241 6153 16.248 42639 0.5021 46447 16 ahu 16437 78.166 79441 3.7871 25349 6.2881 25992 2.5010 00643 5.2493 79122 0.4679 10793 17 ahu? 16427 78.119 23902 0.1125 29993 1.0767 05217 0.9641 75224 0.5075 91373 0.2114 64418 18 ahu 16443 78.195 32764 -0.2936 37991 2.0754 10366 2.3690 48357 0.7559 78393 0.6045 13494 19 ahu 16427 78.119 23902 0.3042 61923 2.0332 38411 1.7289 76488 1.2943 043 0.3209 7155 20 ahu 16425 78.109 72794 2.0256 30951 4.0058 32672 1.9802 01721 2.9217 42529 0.5410 35149 21 ahu? 18549 78.162 78035 5.7666 9693 7.7069 86427 1.9402 89497 6.4790 44049 0.4740 87426 22 image ahu 15168 78.111 95432 10.264 97841 12.332 26776 2.0672 89352 11.243 30811 0.4691 34663 23 ahu? 18547 78.154 35264 8.9498 39592 12.500 40531 3.5505 6572 10.270 94318 0.7882 74246 24 ahu 18543 78.137 49723 8.6014 45198 10.365 73696 1.7642 91763 9.3461 8184 0.3110 50543 25 ahu 19624 78.119 84435 10.022 13669 13.378 67928 3.3565 42587 11.780 43277 1.1508 16137 26 ahu? 19635 78.163 6335 4.7948 15063 6.5660 35271 1.7712 20207 5.7884 79132 0.3574 15533 27 ahu? 19627 78.131 78685 7.8927 07348 9.3132 72476 1.4205 65128 8.5300 46856 0.2822 89441 28 image ahu 21249 78.159 44336 2.3526 89743 4.6074 76711 2.2547 86968 3.6080 67121 0.4241 0477 Ahu an d Buffe r Elevati on (m) 97 Ahu_ID Catego ry COUNT (pixels )ARE A MIN MAX RANGE MEAN STD 29 image ahu 4684 78.237 80392 -1.9470 60943 0.0349 6033 1.9820 21272 -1.1036 4924 0.4625 57153 30 image ahu 4678 78.137 5847 3.8645 70379 7.2818 21251 3.4172 50872 5.3963 67391 0.8422 49916 31 ahu? 4679 78.154 2879 6.8528 33271 8.4231 28128 1.5702 94857 7.8561 78488 0.4424 94983 32 ahu 21243 78.137 37377 23.445 6749 27.999 99619 4.5543 21289 25.946 76597 1.4377 17227 33 ahu? 4679 78.154 2879 9.4600 72517 11.108 94775 1.6488 75237 10.216 09396 0.3742 69712 34 ahu? 4677 78.120 8815 5.2754 79317 5.8090 27672 0.5335 48355 5.5717 41895 0.1362 02442 35 ahu? 21242 78.133 69551 -0.8338 46092 1.2984 15661 2.1322 61753 0.3968 86331 0.6019 97672 36 ahu 4679 78.154 2879 8.5307 69348 9.8959 47456 1.3651 78108 9.1380 55875 0.3655 81586 37 image ahu 4677 78.120 8815 21.228 24669 23.527 91595 2.2996 69266 22.351 33288 0.5123 11614 38 image ahu 5182 78.163 45831 20.966 7511 23.182 81174 2.2160 60638 21.844 12381 0.4031 66924 39 ahu 5188 78.253 96019 16.009 92012 17.760 12421 1.7502 04086 17.082 40119 0.3842 59015 40 ahu 5178 78.103 12372 11.916 65649 13.772 26448 1.8556 07986 12.891 51498 0.4223 73723 41 ahu? 5173 78.027 70549 27.003 85857 27.856 16302 0.8523 04459 27.286 61498 0.1807 38245 42 ahu? 4815 78.208 72694 33.903 41187 34.099 13635 0.1957 24487 34.018 77025 0.0467 41405 43 ahu? 4805 78.046 29968 25.893 00919 28.543 95294 2.6509 43756 27.031 42863 0.5756 30944 44 image ahu 4810 78.127 51331 10.156 951 2.3053 7987 2.1484 29871 11.253 39158 0.5584 99378 45 ahu 4813 78.176 24149 11.786 97014 13.463 78613 1.6768 15987 12.596 34131 0.3343 69351 46 ahu 19513 78.142 17837 9.4368 17169 11.253 18718 1.8163 7001 10.371 24635 0.4769 47202 47 image ahu 19502 78.098 12753 1.3047 90497 3.7911 17668 2.4863 27171 2.5603 97601 0.6519 73325 48 ahu? 19508 78.122 15526 -1.3887 78687 4.1118 77441 5.5006 56128 2.0340 32132 1.4380 38752 49 image ahu 19509 78.126 15988 4.6252 86102 7.0747 36595 2.4494 50493 5.5840 55971 0.5860 35523 50 ahu? 19385 78.142 19406 7.5972 30911 9.0054 49295 1.4082 18384 8.2779 96634 0.2965 70446 51 ahu 19385 78.142 19406 7.1886 2772 9.3853 05405 2.1966 77685 8.1503 53672 0.4853 39449 52 ahu 18320 77.246 89766 8.2552 61421 9.8676 65291 1.6124 0387 9.0938 31172 0.2479 12105 53 ahu? 19391 78.166 38045 34.149 80698 36.457 48138 2.3076 74408 35.340 35635 0.5620 06252 54 ahu? 19385 78.142 19406 4.5315 7568 6.5415 06767 2.0099 31087 5.5505 9201 0.3929 26823 55 ahu? 32286 78.118 10503 23.997 13898 26.033 8974 2.0367 58423 25.044 06288 0.5694 39142 56 image ahu 18533 78.145 01934 9.5108 54721 11.773 0093 2.2621 54579 10.874 44894 0.5583 95379 57 ahu? 18534 78.149 23588 -0.2738 30414 1.7585 51598 2.0323 82011 0.7595 69471 0.4469 15147 Ahu an d Buffe r Elevati on (m) 98 Ahu_ID Catego ry COUNT (pixels )ARE A MIN MAX RANGE MEAN STD 58i mage a hu? 18535 78.153 45241 0.4667 11044 2.8349 00856 2.3681 89812 1.5760 06969 0.7023 91363 59 ahu? 16121 78.091 30284 9.4167 2802 11.545 56274 2.1288 34724 10.190 61797 0.5258 57568 60 ahu? 16132 78.144 58765 18.854 96521 21.640 41901 2.7854 53796 19.661 82602 0.5837 37191 61 ahu 16143 78.197 87245 3.6537 02736 5.7631 71196 2.1094 6846 4.6559 40417 0.5503 95289 62 image ahu 16126 78.115 52321 9.3040 86685 13.039 99519 3.7359 08508 10.271 77079 0.8047 85464 63 ahu? 16784 78.132 11141 6.4425 01068 7.8335 58559 1.3910 57491 7.0286 41689 0.2958 50092 64 ahu? 16783 78.127 45626 7.3163 51414 9.4251 89972 2.1088 38558 8.2372 34116 0.5693 10422 65i mage a hu? 16780 78.113 4908 8.9232 36847 11.631 0091 2.7077 72255 10.475 0103 0.5147 47284 66 ahu? 16786 78.141 42172 11.063 591 12.957 88383 1.8942 92831 11.552 18533 0.3135 66774 67 ahu? 16794 78.178 66296 1.0148 77319 6.9120 35465 5.8971 58146 4.6481 00508 1.4705 21723 68 image ahu 4136 78.189 96521 -1.6781 09646 -0.9667 03296 0.7114 0635 -1.3786 5741 0.1916 36427 69 image ahu 4139 78.246 6794 3.8739 42137 5.4145 298 1.5405 87664 4.5467 18179 0.3177 81661 Ahu an d Buffe r Elevati on (m) Th is ta bl e sh ow s t he d at a su m m ar y fo r t he e le va tio n su rr ou nd in g ea ch a hu . T hi s t ab le is a re su lt of ru nn in g th e Zo na l S ta tis tic s a s Ta bl e to ol w ith a 5 m b uf fe r a ro un d ea ch o f t he a hu . T he ra st er b ei ng u se d to e xt ra ct th e da ta is th e D EM . T he e le va tio n da ta is a su m m ar y of th e el ev at io n ra st er d at a fo un d w ith in th e 5m b uf fe r. Fo r t ho se a hu th at h ad m or e th an o ne se t o f a ss oc ia te d el ev at io n da ta d ue to o ve rla pp in g fli gh t a re as , t ho se re pe tit io ns w er e re m ov ed fr om th e ta bl e w ith n o ad di tio na l w or k be ca us e th e 5m b uf fe r ar ea w as sm al l e no ug h th at e ac h co ul d be fu lly c ov er ed b y at le as t o ne o f t he o ve rla pp in g fli gh ts . 99 Table 4: Total Observation Area per Ahu Ahu_ID Category Total area 1 ahu 27270207 2 ahu 41267371 3 ahu 6416704 4 ahu? 32789215 5 image ahu 38590412 6 ahu? 28978536 7 ahu? 126231516 8 ahu? 78724656 9 ahu? 61513165 10 image ahu 87982982 11 ahu 96667308 12 ahu 55351865 13 image ahu 28039359 14 ahu? 86308918 15 ahu 152277219 16 ahu 62193056 17 ahu? 49362420 18 ahu 56283049 19 ahu 62274463 20 ahu 62997228 21 ahu? 160892525 22 image ahu 72199192 23 ahu? 91371303 24 ahu 68968654 25 ahu 164217474 26 ahu? 123914565 27 ahu? 104118609 28 image ahu 65125910 29 image ahu 15094927 30 image ahu 66526067 31 ahu? 105714152 32 ahu 105382698 33 ahu? 63155748 34 ahu? 57577396 35 ahu? 41362115 36 ahu 16059996 37 image ahu 46694941 38 image ahu 27849872 39 ahu 30543048 40 ahu 27190978 41 ahu? 24913031 42 ahu? 17032999 43 ahu? 23966681 44 image ahu 21335856 100 Ahu_ID Category Total area 46 ahu 66748032 47 image ahu 46700787 48 ahu? 25951425 49 image ahu 81685118 50 ahu? 80862453 51 ahu 57357014 52 ahu 123892964 53 ahu? 114549902 54 ahu? 70756356 55 ahu? 74438721 56 image ahu 104562093 57 ahu? 54411863 58 image ahu? 49872018 59 ahu? 138399675 60 ahu? 153886299 61 ahu 101919250 62 image ahu 98893844 63 ahu? 67521589 64 ahu? 82310538 65 image ahu? 101766741 66 ahu? 111177724 67 ahu? 45927297 68 image ahu 19201560 69 image ahu 38346306 A summary table showing the total amount of area from which each ahu can be seen. These numbers were acquired from the point data observations. For each ahu point, the area from all the rows that had a 1 in it (indicating visibility) were added together and then associated with the basic ahu information from table 3. For those ahu located in more than one flight rea, they had two different viewsheds. One of these viewsheds was clipped by the other in order to eliminate overlap and redundant data. The two viewsheds were then added together to get a more complete assessment of land that was not a part of the previous flight area, and thus makes the overall area for these ahu more accurate. Unfortunately, not all the ahu have this position, and most ahu probably indicate having less observable area than they do in reality because they are only being analyzed wthin their specific flight area and not the whole coast. 101 Table 5: Closest Coast Points to Ahu Associated Ahu Data Closest Coast Point Ahu_ID Category NEAR_DIST (m) NEAR_X NEAR_Y 1 ahu 217.2275975600 659494.542301 6993805.84591 2 ahu 35.6039123486 659483.429778 6993803.30591 3 ahu 74.8716587650 659667.262646 6993759.01457 4 ahu? 145.7052238760 659792.552462 6993910.04158 5 image ahu 159.7561154090 659803.931983 6993922.54071 6 ahu? 49.5485065790 659009.802026 6993910.94393 7 ahu? 48.5971014531 661167.722098 6994020.17422 8 ahu? 60.0561808506 661445.124572 6993922.45018 9 ahu? 59.1630980914 661658.849100 6993842.50013 10 image ahu 83.7072109411 662030.149142 6994009.44967 11 ahu 36.3323681853 662034.774878 6994001.24360 12 ahu 16.1397631470 662239.121522 6994207.14176 13 image ahu 33.6507134615 662258.982838 6994101.75168 14 ahu? 33.2078723512 662725.679458 6994254.37529 15 ahu 115.4937263430 662855.652218 6994351.00132 16 ahu 31.4781502604 662958.887363 6994410.72593 17 ahu? 52.0368184976 663100.415723 6994337.87101 18 ahu 31.8053701825 663130.186245 6994327.18084 19 ahu 48.6100742748 663406.043135 6994257.20690 20 ahu 55.5172763245 663468.284945 6994313.45846 21 ahu? 53.7486735677 663524.780867 6994377.26015 22 image ahu 59.1449327589 660502.665871 6993957.78562 23 ahu? 51.0607194931 663591.841036 6994749.19759 24 ahu 90.1874834291 663517.086635 6994753.34493 25 ahu 93.7450148079 663944.970040 6995072.38428 26 ahu? 51.0566937832 664049.112876 6995220.36852 27 ahu? 123.4481060930 664182.020355 6995290.43646 28 image ahu 44.8810859066 664586.513995 6995810.90176 29 image ahu 35.5910981939 664763.789925 6995984.96916 30 image ahu 42.6636718265 664838.516820 6995932.66733 31 ahu? 41.6711975387 665052.444241 6996011.01616 32 ahu 281.1863909640 664760.922767 6995984.39619 33 ahu? 119.1496077010 664769.601619 6995983.33286 34 ahu? 85.4942758100 664847.513656 6995930.88607 35 ahu? 51.7313752519 664692.440731 6995891.48609 36 ahu 46.6483533891 665397.522160 6996201.04867 37 image ahu 137.4171584260 665501.834890 6996392.26597 38 image ahu 183.6820164540 665868.345652 6996620.68169 39 ahu 60.2796169566 665893.313946 6996653.53237 40 ahu 35.6362636393 666165.376364 6996788.07144 41 ahu? 303.2488911810 666235.395650 6996844.65230 42 ahu? 312.3470079380 666288.173304 6996884.61438 43 ahu? 183.7133399190 666329.133711 6996893.37530 102 Associated Ahu Data Closest Coast Point Ahu_ID Category NEAR_DIST (m) NEAR_X NEAR_Y 44 image ahu 31.8517616434 666631.909768 6996887.76435 45 ahu 36.3399356277 666927.298177 6996977.32036 46 ahu 256.1859019310 667172.850592 6997148.74032 47 image ahu 43.7039928550 667235.332898 6997154.00352 48 ahu? 27.7703706420 667326.431511 6997151.71344 49 image ahu 44.0301275507 667753.798914 6997153.42072 50 ahu? 72.5546343842 668209.128493 6996820.13463 51 ahu 30.8559034373 668431.259745 6996878.83157 52 ahu 51.5795743990 668470.532582 6996914.22597 53 ahu? 413.7235394280 668104.536855 6996915.17842 54 ahu? 37.1403624253 667909.466572 6996986.14110 55 ahu? 506.2277938750 668693.468820 6997028.07596 56 image ahu 50.4988756399 668646.266140 6996977.74866 57 ahu? 83.8409202663 668697.966829 6997029.53889 58 image ahu? 37.1446319874 668906.918763 6997016.32622 59 ahu? 132.0229110560 669225.040314 6996692.37845 60 ahu? 282.9764710180 669523.913768 6996920.41297 61 ahu 91.6472449230 669889.170376 6996834.21607 62 image ahu 60.6691312905 670185.848395 6997070.72083 63 ahu? 53.1627908877 670441.450314 6997439.84993 64 ahu? 62.5352616575 670613.256435 6997563.53451 65 image ahu? 107.6961487150 670729.660894 6997712.34357 66 ahu? 78.3144750139 670830.555134 6997808.20049 67 ahu? 44.4738161174 671098.706639 6997979.12795 68 image ahu 82.7930983721 670849.631377 6998425.27019 69 image ahu 153.3925149840 671316.365271 6998701.88861 This table shows data about the closest point on the coast for each ahu. This data does not take into account elevation, merely distance. NEAR_DIST refers to the distance between each ahu and its associated point on the coast and the NEAR_X and Y columns relate to coordinate points. These coordinate points were used to map the points in ArcMap. 103 Ta bl e 6: D at a fo r S lo pe w ith in 5 0m o f C lo se st C oa st P oi nt s o f A hu Ahu_ID Catego ryC OUNT AREA ( m) MIN MAX RANGE MEAN STD 1ahu 70920 9 5097.2 10206 0.0247 9816 87.832 06177 87.807 26361 19.060 85039 14.883 78769 2ahu 91076 654.57 92801 0.0063 56403 86.613 62457 86.607 26817 19.774 60163 15.313 73583 3ahu 68086 4 4893.4 8969 0.0032 79554 84.839 07318 84.835 79363 15.027 54326 10.830 65903 4ahu? 32541 1 4837.8 75673 0.1999 58712 87.466 07971 87.266 121 17.494 59308 16.265 9421 5imag e ahu 10210 1 1517.9 32535 0.5397 70186 87.407 15027 86.867 38008 15.006 21585 14.306 83171 6ahu? 57387 0 4124.5 04935 0.0332 86132 88.775 58899 88.742 30286 30.594 475 16.901 52916 7ahu? 90468 4 4849.5 00886 0.0137 63064 87.996 47522 87.982 71216 24.300 01271 17.560 36123 8ahu? 76465 2 4098.8 6828 0.0073 88444 88.992 55371 88.985 16527 18.683 79489 17.141 91324 9ahu? 99511 1 5334.2 29052 0.0132 87202 87.844 17725 87.830 89004 16.714 53643 12.470 47077 10ima ge ahu 83835 0 4493.9 21709 0.0073 76655 84.388 86261 84.381 48595 14.597 69239 13.174 81908 11ahu 90049 602.09 55075 0.0233 84731 81.747 28394 81.723 8992 19.171 56568 14.766 95757 12ahu 77909 2 5209.2 50443 0.0049 7158 86.184 68475 86.179 71317 8.5967 62515 9.7448 51263 13ima ge ahu 83082 2 5555.1 33246 0.0126 17367 84.751 00708 84.738 38971 16.438 28625 12.725 11878 14ahu ? 10245 84 4534.7 8239 0.0115 25417 88.443 8858 88.432 36039 17.697 27902 16.214 9032 15ahu 11819 72 5620.9 13933 0.0253 23501 87.944 54193 87.919 21843 22.931 03343 16.429 16911 16ahu 10902 71 5184.8 26252 0.0112 13547 88.511 12366 88.499 91011 18.686 72535 14.192 16883 17ahu ? 10008 89 4759.7 66666 0.0076 00136 86.383 88824 86.376 28811 17.098 55154 11.881 55967 18ahu 45126 9 2146.0 27325 0.0160 22649 86.685 30273 86.669 28009 16.900 16892 14.250 76499 19ahu 11526 64 5481.5 38596 0.0062 02784 88.480 69763 88.474 49485 17.166 94183 16.813 82844 20ahu 86127 6 4095.8 31601 0.0060 26874 88.329 78821 88.323 76133 15.440 60108 14.349 53907 21ahu ? 86294 7 4103.7 78106 0.0153 88933 88.634 26971 88.618 88078 19.291 27891 16.581 15338 22ima ge ahu 89110 9 4589.0 20669 0.0039 31223 87.863 57117 87.859 63994 21.141 32069 16.663 43303 23ahu ? 10576 13 4456.6 26913 0.0028 62258 88.427 52838 88.424 66612 24.446 48609 16.342 25932 24ahu 11481 30 4838.0 52348 0.0190 38264 85.147 23206 85.128 19379 16.390 5182 10.992 7908 25ahu 10137 36 4271.7 35635 0.0099 10981 87.288 45978 87.278 5488 19.879 05224 15.436 93353 26ahu ? 12110 13 4820.8 39129 0.0193 01662 88.082 72552 88.063 42386 22.564 29648 15.396 00415 27ahu ? 10872 67 4328.2 2711 0.0131 52015 86.394 06586 86.380 91384 20.253 32501 13.671 71979 28ima ge ahu 12935 59 4758.0 52209 0.0089 18962 88.557 21283 88.548 29387 21.020 02451 16.666 2712 Ahu an d Buffe r Slope ( degree s) 104 Ahu_I DC ategor yCO UNT AREA ( m) MIN MAX RANGE MEAN STD 29ima ge ahu 15690 48 5771.3 73631 0.0133 93601 88.252 22778 88.238 83418 17.740 96645 13.665 24753 30ima ge ahu 45478 07 596.28 2764 0.0108 95002 89.608 9325 89.598 03749 24.027 71891 18.645 55348 31ahu ? 29401 7 4 911.02 5704 0.0345 72221 86.892 38739 86.857 81517 18.794 10263 15.009 05608 32ahu 57529 211.60 68811 0.0239 71824 72.709 27429 72.685 30247 18.524 03304 12.638 60812 33ahu ? 19891 332.24 34154 0.7551 0931 74.886 94763 74.131 83832 10.082 30328 12.349 73079 34ahu ? 54788 915.13 50985 0.1135 08373 69.886 56616 69.773 05779 11.294 32074 10.909 40488 35ahu ? 11025 50 4055.4 70576 0.0147 56956 85.357 34558 85.342 58862 18.256 62083 13.002 88429 36ahu 26912 54 495.24 9569 0.0734 42087 88.384 09424 88.310 65215 20.471 64886 14.687 96891 37 ima ge ahu 32620 55 448.66 8409 0.0417 8717 88.761 80267 88.720 0155 21.229 39754 15.503 08675 38ima ge ahu 29985 44 522.18 0095 0.0675 86184 85.896 55304 85.828 96686 19.082 01314 13.100 27719 39ahu 17423 12 627.62 5312 0.0549 60754 85.734 16901 85.679 20825 15.412 14711 14.749 77858 40ahu 25207 93 801.67 2268 0.0098 04519 85.066 94794 85.057 14342 14.127 25228 13.605 21569 41ahu ? 26904 34 369.89 9792 0.1059 97883 87.506 65283 87.400 65495 18.021 69157 14.535 92449 42ahu ? 23918 23 607.16 9088 0.0196 40561 87.825 90485 87.806 26429 16.151 37629 16.948 32768 43ahu ? 17727 0 2879.2 8746 0.0425 44022 87.674 31641 87.631 77238 15.072 42018 14.657 48836 44ima ge ahu 23974 53 894.03 0418 0.0245 56693 86.355 0415 86.330 48481 15.573 05378 16.378 39365 45ahu 25863 2 4200.8 0033 0.0140 46267 88.577 23999 88.563 19372 16.871 1572 15.245 5355 46ahu 29931 1 4861.5 2428 0.0189 94343 83.536 78131 83.517 78697 16.030 49615 11.597 55282 47ima ge ahu 63347 1 2 536.70 2109 0.0087 77293 86.765 61737 86.756 84008 19.138 51451 12.984 9413 48ahu ? 12404 86 4967.4 62525 0.0185 44413 88.478 90472 88.460 36031 19.688 5975 13.459 81044 49 ima ge ahu 10255 27 4133.7 8815 0.0057 59308 89.237 05292 89.231 29361 20.138 19784 14.998 53821 50ahu ? 14121 92 5692.3 92843 0.0082 98002 87.015 22827 87.006 93027 15.242 23171 12.048 65852 51ahu 16660 56 6715.6 91104 0.0121 89744 88.199 31793 88.187 12819 18.783 00839 13.635 28819 52ahu 97118 7 3 914.74 9502 0.0262 45711 88.651 6037 88.625 35799 22.472 10284 16.159 73082 53ahu ? 11939 71 4812.7 67652 0.0072 18701 86.655 22766 86.648 00896 15.657 83296 12.097 50008 54ahu ? 12124 73 4887.3 47208 0.0085 95416 86.992 63763 86.984 04222 15.928 33699 13.064 47584 55 ahu ? 11778 61 4966.4 7398 0.0049 09046 87.868 62183 87.863 71278 18.509 45772 13.440 16372 56 ima ge ahu 10516 32 4434.2 26928 0.0064 78092 89.089 8056 89.083 32751 17.589 53436 14.552 93413 57 ahu ? 52424 221.04 68229 0.0427 34116 74.898 72742 74.855 9933 14.653 91266 10.650 26823 Ahu an d Buffe r Slope ( degree s) 105 Ahu_I DC ategor yCO UNT AREA ( m) MIN MAX RANGE MEAN STD 58ima ge ahu ?116 0524 4893.3 7218 0.0107 10596 87.331 25305 87.320 54246 20.710 11742 15.073 50405 59ahu ? 13622 66 5744.0 21274 0.0097 02253 86.459 75494 86.450 05269 16.148 34867 11.983 77584 60ahu ? 10397 64 5036.3 29453 0.0339 99287 89.184 69238 89.150 6931 20.786 37942 15.537 08897 61ahu 10039 41 4862.8 12742 0.0037 10685 78.674 11041 78.670 39973 14.973 18804 10.950 62338 62ima ge ahu 10426 61 5050.3 6172 0.0180 47499 88.693 71033 88.675 66283 20.363 9827 16.344 7975 63ahu ? 94099 64 380.37 7408 0.0108 12469 86.700 51575 86.689 70328 17.478 29287 13.437 38049 64ahu ? 12159 48 5660.2 90957 0.0049 41953 87.147 10999 87.142 16803 20.325 80168 15.251 03728 65ima ge ahu ?83 9833 3909.4 59233 0.0049 17049 83.023 71216 83.018 79511 18.132 5362 12.337 8501 66ahu ? 12449 04 5795.0 82399 0.0191 8116 88.260 79559 88.241 61443 20.846 04179 16.214 1321 67ahu ? 10099 49 4701.3 5663 0.0058 5656 88.254 34113 88.248 48457 16.176 06232 13.520 83285 68ima ge ahu 33743 36 378.39 9686 0.0039 92422 72.507 04956 72.503 05714 9.6642 8812 9.3694 42555 69ima ge ahu 22587 54 269.65 0654 0.0257 96553 88.156 41785 88.130 62129 8.4122 11847 7.5685 28765 Ahu an d Buffe r Slope ( degree s) Th is ta bl e sh ow s s lo pe d at a (in d eg re es ) f ro m w ith in 5 0m o f e ac h ca te go riz ed a hu ’s c lo se st c oa st p oi nt . T he sl op e fr om th e fli gh t im ag es (m in us th e oc ea n ar ea s) w er e us ed to c al cu la te th is in fo rm at io n. S in ce th e fli gh ts o ve rla p in p la ce s, so m e po in ts h ad as so ci at ed d at a fr om m or e th an o ne fl ig ht a re a. F or tu na te ly , e ve ry 5 0m b uf fe r z on e w as a lw ay s c om pl et el y co ve re d by a t l ea st o ne o f th e ov er la pp in g fli gh ts so th e as so ci at ed d at a fr om th e in co m pl et e se ct io ns w er e re m ov ed fr om th e ta bl e. 106 Ta bl e 7: S lo pe d at a fo r t he W ho le C oa st W ith in 5 0m Picture (N)CO UNT (p ixels)A REA (m ) MIN MAX RANGE MEAN STD 1 10213 144 73403 .66779 0.0030 02785 89.595 12329 89.592 12051 22.196 75991 16.784 63958 2 40512 41 60229 .67963 0.0072 4162 89.633 9035 89.626 66188 17.059 09297 14.832 68349 3 13784 233 70985 .85038 0.0026 78186 88.926 12457 88.923 44639 18.688 70046 15.805 6167 4 17995 646 96464 .51271 0.0035 11513 89.043 61725 89.040 10574 18.032 11576 15.482 90414 5 10903 901 72906 .85967 0.0021 66135 88.012 11548 88.009 94934 14.604 43084 12.648 11992 6 17125 459 81440 .78803 0.0044 63901 88.634 26971 88.629 80581 17.566 39977 14.718 0999 7 80857 55 35787 .34333 0.0052 61089 88.660 3775 88.655 11641 17.403 10185 14.391 5717 8 16848 831 70998 .51618 0.0028 62258 88.670 95947 88.668 09721 19.684 55267 14.641 46545 9 13894 419 55311 .34578 0.0048 36777 88.467 27753 88.462 44075 18.364 75352 14.711 22008 10 14912 041 54850 .43174 0.0030 98811 89.245 59021 89.242 4914 18.930 47609 15.127 79689 11 51219 90 85553 .6399 0.0088 7517 89.650 00916 89.641 13399 17.666 93952 14.631 01314 13 44764 03 67509 .85661 0.0098 04519 89.524 43695 89.514 63243 16.224 53192 14.575 52222 14 46333 15 75256 .0827 0.0059 19636 88.577 23999 88.571 32035 15.204 11729 13.749 46146 15 11887 828 47604 .19714 0.0017 74575 89.248 38257 89.246 60799 19.537 18309 15.202 90634 16 20995 221 84629 .45957 0.0031 94968 89.237 05292 89.233 85795 17.247 20604 13.808 81859 19 19388 655 81752 .64361 0.0035 50106 89.089 8056 89.086 2555 18.950 18087 14.222 20431 20 23285 630 11278 9.1562 0.0008 12178 89.509 08661 89.508 27443 18.880 73006 14.401 90052 21 21970 143 10227 1.9736 0.0030 07423 88.477 64587 88.474 63845 18.326 36534 13.915 45019 223 45020 44 85100 .85272 0.0039 92422 88.499 5575 88.495 56507 11.280 82969 10.237 92344 Averag es12 84609 9.95 74465 .62407 0.0042 13372 88.984 34609 88.980 13272 17.676 23514 14.415 22727 Coast A rea Slope ( degree s) Th is is sl op e da ta (i n de gr ee s) fo r t he a re as th at a re w ith in 5 0m o f t he c oa st li ne . T he 5 0m sl op e da ta d oe s n ot in cl ud e oc ea n da ta , on ly te rr es tri al . T he d at a w as c ol le ct ed b y fli gh t s o th er e is so m e re pe tit io n in th e da ta w he re th e ed ge s o f t he fl ig ht im ag es o ve rla p bu t t hi s i s m in im al . 107 Ta bl e 8: D at a fo r S lo pe w ith in 5 0m o f A hu A hu _I D C at eg or y C O U N T A R E A M IN M A X R A N G E M E A N S TD 1ahu 10898 907 833.23 20 .00338 762 85.046 49353 85.043 10591 12.269 5277 9.6981 96248 2ahu 10096 49 7256.5 30.0 06356 403 87.832 06177 87.825 70536 14.223 72098 14.830 6929 3ahu 10899 64 7833.7 60.0 03279 554 69.312 67548 69.309 39592 8.3044 34674 6.1277 00979 4ahu? 10899 58 7833.7 20 .00455 752 85.260 71167 85.256 15415 11.319 24652 9.0258 79205 5imag e ahu 52686 67 832.90 0.0112 03443 81.753 37219 81.742 16875 9.8847 23381 8.2091 44444 6ahu? 10895 09 7830.4 90.0 21009 127 88.775 58899 88.754 57986 21.501 98974 16.380 38355 7ahu? 14604 77 7828.7 90.0 07261 015 87.949 48578 87.942 22476 16.424 61398 15.368 50128 8ahu? 14613 03 7833.2 20.0 03079 966 77.560 52399 77.557 44402 8.7213 35047 7.7502 83146 9ahu? 14613 07 7833.2 40.0 03777 936 87.296 82922 87.293 05129 9.2214 15006 9.3490 7435 10ima ge ahu 14613 13 7833.2 80.0 04100 627 87.053 48969 87.049 38906 9.0793 85294 11.057 34055 11ahu 67268 84 497.80 0.0063 8167 84.029 83856 84.023 45689 17.499 10292 13.873 34368 12ahu 94290 86 304.57 0.0049 7158 85.734 13849 85.729 16691 7.2229 07622 8.7455 49869 13ima ge ahu 11239 28 7514.9 30.0 08088 565 84.751 00708 84.742 91852 10.908 0709 11.141 53921 14ahu ? 16090 37 7121.5 60.0 01057 015 88.443 8858 88.442 82879 13.343 98318 13.896 93408 15ahu 17698 37 7833.2 50.0 00821 331 81.344 58923 81.343 7679 10.480 98522 8.2054 11292 16ahu 14703 58 6992.3 40 .00555 006 88.501 34277 88.495 79271 13.285 90431 13.100 88179 17ahu ? 16471 78 7833.2 20.0 02445 308 83.456 3446 83.453 8993 10.562 02798 9.5190 90602 18ahu 70290 03 342.67 0.0173 84335 86.685 30273 86.667 9184 15.391 93819 12.306 70501 19ahu 16461 07 7828.1 30.0 05326 983 87.627 43378 87.622 10679 9.5324 2947 10.705 63033 20ahu 12364 50 5879.9 90 .00162 446 83.041 47339 83.039 84893 7.0135 31657 9.0699 1566 21ahu ? 11600 31 5516.5 70.0 01832 334 87.685 20355 87.683 37122 10.981 63468 12.820 63274 22ima ge ahu 15211 22 7833.4 50.0 03931 223 87.721 68732 87.717 75609 13.050 11263 13.304 9359 23ahu ? 18590 04 7833.5 70.0 02088 532 88.427 52838 88.425 43985 15.470 79498 14.415 01112 24ahu 18589 02 7833.1 40.0 01840 576 83.617 11884 83.615 27826 7.4379 77819 7.9785 49755 25ahu 18590 03 7833.5 70.0 02948 002 83.587 90588 83.584 95788 7.6264 0414 8.2454 80119 26ahu ? 19677 82 7833.4 10.0 04253 726 86.988 92212 86.984 66839 15.196 45133 13.608 76208 27ahu ? 19677 76 7833.3 90.0 05158 016 82.229 37012 82.224 2121 9.3266 04866 8.8324 21229 Ahu an d Buffe r Slope ( degree s) 108 Ahu_ID C at eg or y C O U N T A R E A M IN M A X R A N G E M E A N S TD 28ima ge ahu 20993 41 7721.9 30.0 05333 816 87.653 37372 87.648 0399 15.358 62984 15.018 00236 29ima ge ahu 20545 26 7557.0 90.0 01815 925 88.252 22778 88.250 41186 14.541 46174 11.203 5512 30ima ge ahu 44862 67 493.49 0.0331 94676 89.650 00916 89.616 81448 12.903 06988 14.241 89411 31ahu ? 45691 77 631.98 0.0203 60883 86.892 38739 86.872 02651 14.361 18971 13.688 12687 32ahu 21296 62 7833.4 60.0 00955 603 84.799 04175 84.798 08615 10.016 4364 10.762 09275 33ahu ? 20635 15 7590.1 50.0 03635 341 77.384 43756 77.380 80222 8.1218 86774 5.8797 65641 34ahu ? 11775 37 4331.2 90.0 05910 078 60.987 3085 60.981 39842 7.4095 98676 5.6171 62151 35ahu ? 20417 08 7509.9 40.0 02356 687 85.357 34558 85.354 98889 12.617 45557 11.220 76653 36ahu 46620 67 787.13 0.0794 52671 88.358 65784 88.279 20517 12.560 12468 12.625 9744 37ima ge ahu 51942 37 833.56 0.0083 06252 68.661 30829 68.653 00204 5.5521 67217 6.1148 69421 38ima ge ahu 51942 37 833.56 0.0099 61641 82.523 91052 82.513 94888 6.0262 20514 8.6437 24996 39ahu 51942 17 833.53 0.0289 84925 85.743 31665 85.714 33173 7.7581 50253 9.2618 05663 40ahu 46902 17 073.43 0.0098 04519 85.066 94794 85.057 14342 10.024 40936 11.841 57828 41ahu ? 51845 37 818.93 0.0063 70605 89.623 55042 89.617 17981 11.165 5658 18.806 26872 42ahu ? 48227 07 833.21 0.0025 72463 70.172 2641 70.169 69164 2.2891 31569 2.8845 26034 43ahu ? 48226 97 833.20 0.0935 8988 74.173 96545 74.080 37557 4.2355 687 4.3056 99911 44ima ge ahu 42422 46 890.41 0.0086 98586 86.355 0415 86.346 34292 11.641 3578 14.510 53669 45ahu 44891 97 291.51 0.0140 46267 88.577 23999 88.563 19372 11.913 91483 13.386 92003 46ahu 19561 30 7833.2 20.0 00965 398 82.010 65826 82.009 69287 7.4077 01318 6.3144 58846 47ima ge ahu 19041 30 7624.9 90.0 02135 231 87.295 4483 87.293 31307 13.247 39368 12.643 29663 48ahu ? 17761 46 7112.4 90.0 04056 538 88.055 39703 88.051 3405 15.299 60423 12.484 75057 49ima ge ahu 19092 50 7695.9 80.0 05759 308 89.064 07166 89.058 31235 15.406 08921 13.076 3205 50ahu ? 19433 31 7833.3 60.0 04918 778 86.417 90009 86.412 98131 10.776 63538 8.3568 55164 51ahu 19070 44 7687.0 90.0 10328 256 88.199 31793 88.188 98968 15.962 9344 12.766 25468 52ahu 15405 52 6209.8 00.0 02996 836 88.651 6037 88.648 60686 12.877 41234 11.848 50101 53ahu ? 19433 39 7833.3 90.0 04303 206 84.684 68475 84.680 38155 10.208 84391 8.3838 57243 54ahu ? 18372 54 7405.7 70.0 07101 105 86.992 63763 86.985 53653 12.667 61115 10.464 54202 55ahu ? 32375 02 7833.3 50.0 00878 201 86.264 81628 86.263 93808 9.0367 65405 9.5995 55954 56ima ge ahu 18577 75 7833.3 40.0 04462 641 89.089 8056 89.085 34296 11.126 83949 11.031 54974 Ahu an d Buffe r Slope ( degree s) 109 Ahu_ID Catego ryC OUNT AREA MIN MAX RANGE MEAN STD 57ahu ? 18577 77 7833.3 50.0 04293 764 74.940 41443 74.936 12066 9.6767 98802 7.1499 60846 58ima ge ahu ?18 00035 7589.8 80.0 03719 733 87.331 25305 87.327 53332 14.027 61071 13.558 83707 59ahu ? 18577 77 7833.3 50.0 02611 693 74.473 31238 74.470 70068 8.5645 6625 6.7813 30456 60ahu ? 16172 19 7833.3 60.0 04003 315 83.038 36823 83.034 36491 10.358 21655 8.6111 99436 61ahu 16172 12 7833.3 30.0 00505 203 78.285 94971 78.285 4445 8.5742 63895 7.6940 23345 62ima ge ahu 16172 22 7833.3 80 .00323 711 88.158 91266 88.155 67555 11.810 78933 13.893 90068 63ahu ? 16827 80 7833.4 10.0 01424 569 86.700 51575 86.699 09118 9.4224 9484 10.847 89773 64ahu ? 16827 87 7833.4 50.0 04941 953 86.668 12134 86.663 17939 9.0387 97706 10.217 59721 65ima ge ahu ?16 82783 7833.4 30.0 11195 377 81.513 65662 81.502 46124 12.673 00479 10.510 65243 66ahu ? 16827 80 7833.4 10.0 03317 203 83.678 61176 83.675 29455 7.2873 86674 6.5994 44783 67ahu ? 16599 08 7726.9 40 .00585 656 88.254 34113 88.248 48457 10.558 4816 10.772 96052 68ima ge ahu 41440 87 833.44 0.0177 17987 83.345 34454 83.327 62656 6.1242 88661 9.2719 56692 69ima ge ahu 41441 77 833.61 0.0236 50032 73.323 28033 73.299 6303 4.7265 39565 4.1385 73959 Ahu an d Buffe r Slope ( degree s) Th is ta bl e sh ow s s lo pe d at a (in d eg re es ) f ro m w ith in 5 0m o f e ac h ah u. 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