DESCRIPTION, COMPARISON, AND PREDICTION OF PACIFIC LAMPREY (ENTOSPHENUS TRIDENTATUS) AND WESTERN BROOK LAMPREY (LAMPETRA AYRESII) HABITAT IN THE SOUTHERN OREGON COASTAL RANGE by PARKER JUNG A THESIS Presented to the Department of Biology and the Robert D. Clark Honors College in partial fulfillment of the requirements for the degree of Bachelor of Science May 2024 An Abstract of the Thesis of Parker Jung for the degree of Bachelor of Science in the Department of Biology to be taken June 2024 Title: Description, Comparison, and Prediction of Pacific Lamprey (Entosphenus tridentatus) and Western Brook Lamprey (Lampetra ayresii) Habitat in the Southern Oregon Coastal Range Approved: Dr. Richard Emlet Primary Thesis Advisor Lampreys are jawless fish that represent one of the most ancient extant lineages on the planet, evolving into their current form over 340 million years ago. Ten of the approximate forty extant lamprey species are native to Oregon, making the state’s freshwater ecosystems of special interest for lamprey conservation. Lamprey conservation is of great interest due to their significance not only in their ecological niche, but in Pacific Northwest indigenous culture. Five of Oregon’s lamprey species, including the Pacific lamprey (Entosphenus tridentatus) and the western brook lamprey (Lampetra ayresii), are listed by the state as sensitive species. The Pacific lamprey and western brook lamprey exhibit significant habitat overlap in Southern Oregon coastal streams despite major differences in their size and life histories. This study aimed to characterize and compare these species’ habitats using presence/absence data produced by an eDNA sampling effort conducted by South Slough National Estuarine Research Reserve (SSNERR). Environmental variables considered in this assessment include elevation, slope, aspect, hillshade, stream density, forest type, canopy cover, and cost distance. Most variables were significant above a 70% confidence interval, indicating that they may be found to be significant on a 95% confidence level in studies that work with data differently and remediate the caveats associated with this analysis. Variables that were found to be significant above a 95% 2 confidence level for at least one species include elevation, stream density, and cost distance. Random forest classifiers used to predict suitable habitat for each species had an accuracy score of 60% for the Pacific lamprey and 83% for the western brook lamprey, indicating the greater specificity of western brook lamprey habitat. Regardless of caveats that resulted from the nature of the data and method of analysis, the findings and predictions produced by this project should be useful as a supplementary tool to temporally variable conditions in predicting the presence of these species. Understanding where these species are likely to be present will further their conservation by informing planning for restoration and construction projects and therefore decreasing the likelihood of suitable habitat degradation. 3 Acknowledgements I would like to thank Dr. Shon Schooler, Dr. Lisa Munger, and Dr. Richard Emlet for serving as my thesis committee and helping me throughout this process. I would especially like to thank Dr. Schooler for his mentorship during my entire time working with South Slough NERR and the extensive experience I gained through the opportunities he presented me with. I would also like to thank my father, Paul Jung, who offered his own insight during difficult aspects of this analysis. The success of this project would not have been possible without his support and collaborative troubleshooting. 4 Table of Contents Introduction 8 Methods 16 Results 21 Elevation 21 Slope 23 Aspect 25 Hillshade 27 Stream Density 29 Forest Type 32 Canopy Cover 36 Cost Distance 38 Model 40 Discussion 43 Pacific Lamprey Habitat 43 Western Brook Lamprey Habitat 44 Comparison 46 Models 48 Limitations 49 Conclusion 51 Appendix A 52 Variable Summary Table 52 Appendix B 53 Variable Correlation Matrix 53 Bibliography 54 Supporting Materials Raster (.tif): Stream Density Raster (.tif): Cost Distance Raster (.tif): Pacific Lamprey Predictions Raster (.tif): Western Brook Lamprey Predictions 5 List of Figures Figure 1. Elevation distribution by species 22 Figure 2. Slope distribution by species 24 Figure 3. Aspect distribution by species 26 Figure 4. Hillshade distribution by species 28 Figure 5. Stream density distribution by species 30 Figure 6. Forest type distribution by species 33 Figure 7. Canopy cover distribution by species 37 Figure 8. Cost distance distribution by species 39 Figure 9. Mean decrease in impurity (MDI) plots by species 41 6 List of Tables Table 1. Elevation statistics 21 Table 2. Elevation t-tests 22 Table 3. Slope statistics 23 Table 4. Slope t-tests 24 Table 5. Aspect statistics 25 Table 6. Aspect t-tests 26 Table 7. Hillshade statistics 27 Table 8. Hillshade t-tests 28 Table 9. Stream density statistics 29 Table 10. Stream density t-tests 31 Table 11. Forest type means 32 Table 12. Conifer forest type t-tests 33 Table 13. Mixed forest type t-tests 34 Table 14. Hardwood forest type t-tests 35 Table 15. Canopy cover statistics 36 Table 16. Canopy cover t-tests 37 Table 17. Cost distance statistics 38 Table 18. Cost distance t-tests 39 Table 19. Mean decrease in impurity (MDI) 41 7 Introduction Lampreys are jawless fish that belong to one of the most ancient extant lineages, evolving into their current form about 340 million years ago (Wyodski & Whitney 2003). Oregon constitutes crucial lamprey habitat and hosts 10 of the roughly 40 lamprey species distributed globally (Clemens & Wade 2023). Five of the ten species inhabiting Oregon are listed by the state as Sensitive Species, including the Pacific lamprey (Entosphenus tridentatus) and western brook lamprey (Lampetra ayresii) (Clemens et al. 2020). The western brook lamprey has historically been referred to as Lampetra richardsoni due to inconsistencies between its resident lifestyle and the anadromous tendencies of its satellite species, the western river lamprey (Lampetra ayresii). Carim et al. 2023 proposes the consolidation of these species on the basis of genetic similarity and classification under Lampetra ayresii due to its precedence. The present study uses Lampetra ayresii in agreement with Carim et al. 2023. The Pacific lamprey and western brook lamprey coexist in southern Oregon coastal watersheds and exhibit significant habitat overlap. This habitat overlap may be explained by the species similarities in environmental requirements during reproduction and early life stages. Both species require deep pockets of sediment to build their redds, or nests, to shelter their eggs from the water column. After hatching, ammocoetes, or larvae, remain nearby for several years (E. tridentatus for 5-7 yrs, L. ayresii for 4 yrs) before metamorphosing (McPhail 2007). During this time, ammocoetes bury themselves in pockets of sediment during the day and extend their bodies into the water column at night to filter feed. Following metamorphosis, there are few similarities between these species. The western brook lamprey is a resident species living the duration of its life in freshwater streams. This 8 species obtains nutrients solely from filter feeding until they are adults, when feeding ceases entirely. In contrast, the Pacific lamprey is anadromous and migrates to the Pacific Ocean as a juvenile after living in freshwater for 3-7 years (Ostberg et al. 2019). Pacific lampreys live in the ocean for 20-40 months where they become parasitic on marine fish and mammals until they are ready to reenter freshwater streams and spawn (Wyodski & Whitney 2003; Ostberg et al. 2019; Close 2002). Both species die within several months of spawning (Wyodski & Whitney 2003). There is also a notable difference in the species’ maximum size, as the Pacific lamprey can reach up to 30 in (850 mm) in length while western brook lampreys are rarely longer than 7 in (180 mm) (Wyodski & Whitney 2003). Marked differences in the sizes and life histories of these two species suggest that attention to variables associated with these differences should allow for distinction between their preferred habitats. Despite the negative connotation lampreys hold for many Americans as a result of sea lamprey invasions in the Great Lakes, they typically balance ecosystems and serve many invaluable ecological and cultural functions (Close 2002). Lampreys serve as prey for other animals throughout all stages of their lives. Freshwater fish, namely rainbow trout and speckled dace, have been observed consuming lamprey eggs that overflow from redds (Close 2002). Coho salmon are known to prey on ammocoetes as they first emerge from their eggs (Close 2002). Ammocoetes and adults are known prey items of many freshwater fish, birds (including great blue herons), terrestrial mammals, and pinnipeds (Dunkle et al. 2020; Close 2002). Many of the species that prey on lampreys also hunt salmonids. In comparison with salmon, lampreys are easier to capture, have higher caloric value, and often migrate in dense schools (Close 2002). Collis et al. 2001 found that 71% by volume of four Columbia River larids’ (gulls) diets in May was composed of lampreys. Furthermore, Pacific lampreys have been 9 identified as the most common prey item of seals and sea lions in the Pacific Northwest (Roffe & Mate 1984). Because seabirds and pinnipeds are primary predators of salmon, their consumption of lampreys can act as a buffer against salmonid predation and relieve pressure on these populations. Declining lamprey populations and neglected conservation can be equated with increased predation of salmonids (Kalan et al. 2023; Wyodski & Whitney 2003). Lampreys continue to feed their ecosystems after death, acting as sustenance for many of the same predators listed above, but also for smaller fauna not capable of hunting live lamprey. The migratory lifestyle of Pacific lampreys aids in the distribution of marine nutrients, an important service considering the disparity between the eutrophic NE Pacific and oligotrophic freshwater and riparian ecosystems. Influx of subsidies in lotic ecosystems has proven to be an important contributor to primary and secondary production (Dunkle et al. 2020). Lampreys only absorb 30-40% of the nutrients from food they ingest, meaning they also support the diets of smaller animals and meiofauna. Undigested food is passed in a form finer than when it was originally ingested, facilitating the uptake of nutrients by smaller suspension and deposit feeders (Close 2002). The behavior associated with lamprey redd construction establishes them as ecosystem engineers. Physical and chemical properties of the stream bed determine the types of species and communities that may thrive there. Redd construction requires lampreys to disturb the substrate, facilitating the cycling of nutrients, energy, and oxygen between interstitial habitat and the water column (Boeker & Geist 2016). These services, in conjunction with the microhabitats formed during burrowing, aid in benthic macroinvertebrate survival and reproduction and are important in meiofaunal community composition. 10 Kalan et al. (2023) reported on Pacific lampreys’ contributions to maintaining and improving water quality. Suspended coliforms, notably Echerichia coli (E. coli), can enter streams from agricultural practices, sewage, and defecation by animals and people, and runoff. High concentrations of E. coli threaten water quality, biodiversity, and human and ecological health. Kalan et al. (2023) showed that the filter feeding behavior of lampreys, specifically ammocoetes, significantly decreased concentrations of E. coli in the water column. With this behavior, lampreys not only support the health of other native species but make bodies of freshwater safe for human uses including water consumption, recreation, and fishing (Kalan et al. 2023). Lampreys also have significance among humans due to their viability as bait for fishing, feed for salmonid cultures, and uses among indigenous tribes. Since time immemorial, indigenous groups have captured and processed lampreys for food by smoking, sun-drying, and salting the fish. It has been reported that they valued lampreys as highly as salmon and that the lampreys also had ceremonial and medicinal purposes for tribes (Wyodski & Whitney 2003). In addition to acting as a food source, lampreys were also valued for their rich oil which was often applied to the body and hair. The channeling and damming of lotic systems has significantly decreased the amount of suitable lamprey habitat accessible for fishing. The decline of lamprey is associated with a loss of fishing opportunities and thus a loss of culture, as many young indigenous people are no longer familiar with the capture, preparation, and use of lampreys (Close 2002). Flow regulation of rivers not only changes habitats and the amount of flowing water to distribute nutrients to suspension feeders, but also establishes barriers to migration. While the Pacific lamprey’s larger body size allows it to overcome some barriers by suctioning to flat 11 surfaces, doing so is nearly impossible for smaller lampreys like the western brook lamprey (Clemens & Wade 2023; Wyodski & Whitney 2003). Between 1966 and 2001, the number of Pacific lampreys recorded at Winchester Dam in the Umpqua River dropped from 46,785 to 34 (Close 2002). Lampreys’ reliance on benthic habitat also makes them incredibly vulnerable to any changes in hydrogeomorphic features and general habitat degradation (Boeker & Geist 2016). Regardless of population declines and loss of habitat, lamprey conservation has historically received little attention and the western brook and Pacific lampreys were both denied for inclusion in the Endangered Species Act in 2004 (Carim et al. 2023). One of the most common methods used in lamprey studies is electrofishing which requires researchers to use equipment to influence lampreys to leave the sediment where they burrow, capture and identify them, and record their metrics. Although this was the standard study method in the past, its requirement for specialized equipment, researchers trained in identification, and disturbing the species and their environments makes it impractical. Even with specialized equipment and team members, errors in taxonomic identification are possible and habitats can be hard to reach (Balasingham et al. 2017). These issues are particularly relevant to this project because aside from their adult size, the Pacific lamprey and western brook lamprey can be exceedingly difficult to identify due to the morphological simplicity of family Petromyzontidae. This becomes an issue when attempting to distinguish between the species’ ammocoetes, as they are of similar size and only differ phenotypically by the pigmentation in their caudal fins. The sampling effort that provided the data used in this analysis tested a genetic barcoding method that uses environmental DNA (eDNA) collected from streams to determine species presence (Schooler et al. 2022). This procedure stands to resolve the issues presented by 12 common study methods such as electrofishing. eDNA sampling is a new method of species detection that has been rapidly growing in the field of macrobial aquatic species observation over the last decade (Carim et al. 2016). The process of eDNA sampling requires researchers to pass stream water through filters, then test for the presence of DNA from the target species. eDNA can come from many sources including shed skin cells or exoskeletons, urine, feces, sperm, eggs, mucus, and decaying tissues (Balasingham et al. 2017; Seymour et al. 2018). In addition to resolving the issues of false identification, habitat accessibility, and the complications of capturing individuals, eDNA methods are favorable because of their sensitivity, reliability, and efficiency. Each sample requires 15 minutes or less to collect, significantly decreasing sampling time and cost (Carim et al. 2016; Balasingham et al. 2017). eDNA is detectable for hours to days after the source is removed and can be detected in instances where other methods may incorrectly deduce absence. This short persistence time frame offers an additional positive of the method: near real-time monitoring (Seymour et al. 2018). While results from eDNA can be quantitative to give some indication of population density or distance from the sample site, the eDNA results used in this analysis simply indicate presence or absence (Balasingham 2017; Seymour et al. 2018). It is also worth noting that most past eDNA studies have been undertaken in lentic ecosystems (Seymour et al. 2018). There are many factors to consider when trying to understand spatial patterns via eDNA sampling in lotic ecosystems. As lentic ecosystems experience very low levels of flow, their conditions are more static and have a fairly low rate of change. The flow rate, pH, and temperature of lotic ecosystems, on the other hand, can change drastically day by day depending on the season, weather, and organic input (Seymour et al. 2018). These factors all influence eDNA persistence and detection and thus, understanding the meaning of eDNA results from these systems can be 13 difficult. It is also important to realize that sampling a flowing system entails sampling upstream habitat as well as the sample location. For example, in a study of a river in eastern Canada, Balasingham et al. (2017) found that residual eDNA was still detected 11.5 hours after the source was removed at the source site and the residual eDNA signal strength decreased as sample distance increased downstream. In a meta-analysis of eDNA downstream transport Jo and Yamanaka (2022) found that most eDNA particles travel less than 2km under ordinary hydrogeographic conditions. Due to the difficulties associated with elucidating the extent of upstream habitat that is included in an eDNA sample, especially when using presence/absence rather than quantitative data, the GIS analysis used in this study treats each sample as a discrete sample site. It is acknowledged that the specific sample site identified as suitable based on a positive PCR may not actually contain lampreys, but rather be located downstream from the detected suitable habitat. Therefore, this caveat should be considered when assessing the results of the analysis. While this may produce misleading results for variables like aspect, general trends in elevation, for example, should still be accurate. For some variables, such as elevation limits, the properties of eDNA sampling are a benefit because the sample integrates over a much longer stream distance than a discrete sample would, so determinations of absence above the sample location are more robust. This study aimed to analyze presence data collected using eDNA methods to elucidate the specific environmental variables that define Pacific lamprey and western brook lamprey habitats. Lampreys face many threats, many of which (e.g. habitat degradation and simplification, loss of riparian cover, artificial barriers) are a direct result of human activities (Clemens & Wade 2023). Lampreys serve countless ecological and cultural functions, so proper 14 assessment of their presence and threats is crucial to informing management and restoration practices, as well as construction projects (Schooler et al. 2022). Understanding defining habitat characteristics would allow for quick assessment of risk to lampreys before undergoing invasive projects. The products of this analysis should be useful in understanding the likelihood of lamprey presence in a given stream based on variables that prove significant. While the predictions made by the culminating/culminant/cumulative models cannot stand on their own due to exclusion of temporally variable factors like flow and temperature, they should be informative preliminary tools for determining whether presence of these species is likely or at all possible. 15 Methods The dataset used in this analysis was produced by a sampling effort conducted by South Slough National Estuarine Research Reserve (SSNERR) throughout the southern Oregon Coastal Range. Sampling occurred at 71 sites between May and December of 2019, 52 sites between June and August of 2021, and 39 sites between May and September of 2022. Nine of the total 162 samples were taken in lakes to test the accuracy of eDNA sampling in lentic ecosystems to detect species presence in the watershed. Because lakes with input streams positive for lamprey DNA did not test positive for lamprey DNA, it was concluded that sampling lakes was not accurate for this type of study. Thus, the nine lake samples were excluded from the analyzed dataset. Four additional samples represented experimental sampling (drainage ditches, for example), and were not used in the final analysis. Therefore, 149 total data points were used to assess the species’ preferred habitat. At each site, 5 L of water was pumped through a filter which was then kept separate from filters from other sites to avoid contamination (using USFS methods, Carim et al. 2016). The filters were dried and sent to the USFS Genomics Lab for sequencing to determine which, if either, of the two species was present (Carim et al. 2016). It is important to recognize that eDNA analysis cannot currently distinguish between Lampetra species, so while Pacific lamprey DNA is a sure indicator of Pacific lamprey presence, detected Lampetra DNA could indicate the presence of any Lampetra species. Despite this caveat, this analysis assumes that detected Lampetra presence refers to the western brook lamprey, as no other Lampetra species have been found in the southern Oregon coastal watershed. Elevation, slope, aspect, hillshade, stream density, forest type, canopy cover, and cost distance served as explanatory variables for defining preferred lamprey habitat. 16 The first seven variables will help define the general topography and ecology of the habitat. Slope is measured as the angle above horizontal, ranging from 0 to 90 degrees. Aspect describes the direction of the downhill slope and is measured in degrees. This measurement begins with 0 degrees at north and continues clockwise back to north, meaning east, south, and west would be located at 90, 180, and 270 degrees, respectively. Hillshade is a terrain surface shaded based on the sun’s relative position where raster cells are given a value between 0 (no shade) and 255 (complete shade) shade units. This analysis uses a traditional, as opposed to multi-directional hillshade, with an azimuth (the sun’s relative position in degrees, measured in the same manner as aspect) of 315 degrees and an altitude of 45 degrees above the horizon. Cost distance measures how difficult it is to travel a distance by assigning a cost to cross each raster cell based on slope. Cost distance is measured in units of cost. This measurement should also help distinguish between the species because the Pacific lamprey must travel upstream between each generation while the western brook lamprey may have a harder time traveling upstream due to its smaller body size. All data layers were projected to the Oregon-Lambert conformal conic projection, a projected coordinate system designed for spatial data analysis conducted in the state of Oregon. This coordinate system uses feet as a unit, so all layers with units of length use feet by default. Metric conversions are provided in the text. A cell size of 32.808 ft (10 m) was maintained for all rasters. Raster layers for elevation, hillshade, slope, and aspect were derived from a 10 m Digital Elevation Model (DEM) obtained from Oregon Spatial Data Library using the associated tools in ArcGIS Pro (2.8.0). These layers were then clipped to the extent of the Oregon portion of the Oregon-Washington Coastal zone polygon contained in the Oregon Watersheds layer from 17 Oregon Spatial Data Library. The resulting layers were used as snap rasters and clipping extents for the remaining layers to ensure the data was of the same resolution and comparable for subsequent analysis. Raster data for forest type and percent canopy cover were acquired from Oregon State University’s Landscape Ecology, Modeling, Mapping and Analysis (LEMMA) research group. The raster layer for forest type had values ranging from 0 to 100 with metadata categorizing 0 - >30 as conifer forest, ≤30 - 70 as mixed forest, and ≤70 as hardwood forest. These forest types were separated into three raster layers where cells of the given forest type had a value of 1 and all other cells had a value of 0. The extent of these layers did not align with that of the Oregon Spatial Data Library watershed polygon, so the final study area was determined by the overlap of the two. The layers for stream density and cost distance originated from the National Hydrography Dataset (NHD) Flowline dataset. This dataset provided high-definition stream polylines that were essential to characterize habitat in the smaller creeks that were sampled. To calculate layers for stream density and cost distance, all stream polylines were given the same value before they were used as an input layer. Stream density was generated by calculating the polyline density of this layer in ArcGIS Pro. Due to the scale of this analysis, a search radius of just 5280 ft (1 mile) was used to calculate density. Before cost distance was run, the NHD vector streams were rasterized and a coastline polyline from the flowline layer was buffered by 30 ft to intersect stream polylines that didn’t already meet the coastline. The final cost distance layer was created using the ArcGIS Pro Cost Distance tool using the rasterized NHD streams as the input cost raster and the buffered coastline as the input feature source data (Travel direction: FROM_SOURCE). 18 A spatial join was performed to connect the sample sites with their associated values in the raster layers of the explanatory variables. The significance of the variables and their mean values in relation to species presence were assessed via descriptive statistics and t tests. T tests were run in four ways: 1) to assess the significance of variables in determining presence versus absence of Lampetra ayresii, 2) to assess the significance of variables in determining presence versus absence of Entosphenus tridentatus, 3) to assess the significance of variables in determining presence Lampetra ayresii versus presence of Entosphenus tridentatus, and 4) to assess the significance of variables in determining absence Lampetra ayresii versus absence of Entosphenus tridentatus. The first two sets of t tests aimed to define each species’ preferred habitat and deduce which variables are relevant in this definition. The last two sets of t tests were geared towards comparing the habitats of the two species to describe the differences between their preferred habitats and the habitats they do not occupy. While only relationships proven significant on a 95% confidence level will be regarded as truly significant, confidence levels down to 70% are reported. The caveats involved in this analysis, including the nature of eDNA sampling and slight errors that may be associated with geographic location in high resolution data may influence results. Thus, reporting results at lower confidence intervals will provide context to future studies that may find these variables significant. Furthermore, these confidence levels are in many cases related to the relative importance of variables in influencing the models, and thus provide an opportunity for further analysis in comparing these two metrics. The effectiveness of these data and explanatory variables in predicting lamprey presence was then tested by training a machine learning model. The data were used to train a logistic regression, decision tree classifier, and random forest classifier (300 estimators) for each species 19 which were then vetted based on accuracy score. The random forest classifier proved most accurate in predicting western brook lamprey habitat. While the decision tree classifier (63%) was more accurate than the random forest classifier (60%) in predicting Pacific lamprey habitat, the difference was small, and the random forest classifier was ultimately used for both species for the purpose of consistency. These models were used to write predicted suitability raster layers within the study area for each species. 20 Results Across the 149 total samples, 80 indicated presence of the western brook lamprey and 92 indicated presence of the Pacific lamprey. 59 samples reflected the presence of both species and 36 samples did not contain DNA from either species. Elevation Table 1. Elevation statistics Mean, minimum, and maximum elevations at sample sites where Pacific lampreys (PL) and western brook lampreys (WBL) were present (P) and absent (A). Sample sites ranged in elevation from 1.19 ft to 2248.14 ft (0.36 to 685.23 m)(Table 1). Pacific lampreys were present between 1.19 ft and 1219.34 ft (0.36 to 371.65 m) (Fig. 1a). The mean elevation of sample sites where Pacific lampreys were present was 121.68 ± 235.32 ft (37.09 ± 71.73 m). The elevations at which Pacific lampreys were absent ranged from 3.22 ft to 2248.14 ft (0.98 to 685.23 m) with a mean of 348.12 ± 573.71 ft (106.11 ±174.87 m). Western brook lampreys were present between 1.19 and 438.16 ft (0.36 to 133.55 m)(Fig 1b). The mean elevation of sample sites where western brook lampreys were present was 47.00 ± 61.79 ft (14.33±18.83 m). The elevations at which western brook lampreys were absent also ranged from 3.22 ft to 2248.14 ft and had a mean of 395.33 ± 548.79 ft (120.50 ±167.27 m). 21 a. b. Figure 1. Elevation distribution by species Distribution of elevations at sample sites where a. Pacific lampreys (PL) and b. western brook lampreys (WBL) were present and not present. Table 2. Elevation t-tests Degrees of freedom (df), t-statistic, p-value, and confidence level of t-tests run to determine the role of elevation in differentiating between habitats where Pacific lampreys are present and absent (PL P/A), western brook lampreys are present and absent (WBL P/A), Pacific lampreys and western brook lampreys are present (PL/WBL P), and Pacific lampreys and western brook lampreys are absent (PL/WBL A). The t test comparing the mean elevations where Pacific lampreys were present and absent found the elevations at which the species were present to be significantly lower than those at which they were absent at a 95% confidence level; t=-2.84, df=147, p=0.006 (Table 2). The t test comparing the mean elevations where western brook lampreys were present and absent also 22 found the elevations at which the species present to be significantly lower than those at which they were absent at a 95% confidence level; t=-5.24, df=147, p=1.61E-06. The t test comparing the mean elevation where Pacific lampreys were present and the mean elevation where western brook lampreys were present indicated the mean elevation at which Pacific lampreys were present to be significantly higher than the mean elevation at which western brook lampreys were present at a 95% confidence level; t=2.93, df=170, p=0.004. The t test comparing the elevations where the species were absent did not find a significant difference between the means; t=-0.47, df=124, p=0.64. Slope Table 3. Slope statistics Mean, minimum, and maximum slopes at sample sites where Pacific lampreys (PL) and western brook lampreys (WBL) were present (P) and absent (A). The slope at sample sites ranged from 0.02 to 43.17 (Table 3). Pacific lampreys were present at slopes between 0.02 and 23.72 (Fig 2a). The mean slope at sample sites where Pacific lampreys were present was 4.96 ± 4.99. The slopes at which Pacific lampreys were absent ranged from 0.13 to 43.17 with a mean of 6.69 ± 8.54. Western brook lampreys were present at slopes between 0.02 and 23.72 (Fig 2b). The mean slope at sample sites where western brook lampreys were present was 4.61 ± 4.77. The 23 slopes at which western brook lampreys were absent ranged from 0.13 to 43.17 and had a mean of 6.80 ± 8.12. a. b. Figure 2. Slope distribution by species Distribution of slopes at sample sites where a. Pacific lampreys (PL) and b. western brook lampreys (WBL) were present and not present. Table 4. Slope t-tests Degrees of freedom (df), t-statistic, p-value, and confidence level of t-tests run to determine the role of slope in differentiating between habitats where Pacific lampreys are present and absent (PL P/A), western brook lampreys are present and absent (WBL P/A), Pacific lampreys and western brook lampreys are present (PL/WBL P), and Pacific lampreys and western brook lampreys are absent (PL/WBL A). The t test comparing the mean slopes where Pacific lampreys were present and absent found the slopes where the species were present to be significantly smaller than those at which 24 they were absent on an 80% confidence level; t=-1.39, df=147, p=0.17 (Table 4). The t test comparing the mean slopes where western brook lampreys were present and absent found the slopes at which the species were present to be significantly smaller than those at which they were absent at a 90% confidence level; t=-1.97, df=147, p=0.051. The t test comparing the mean slope at sites where Pacific lampreys were present and the mean slope where western brook lampreys were present did not indicate a significant difference between the means; t=0.47, df=170, p=0.64. The t test comparing the slopes where the species were absent also did not find a significant difference between the means; t=-0.07, df=124, p=0.94. Aspect Table 5. Aspect statistics Mean, minimum, and maximum aspects at sample sites where Pacific lampreys (PL) and western brook lampreys (WBL) were present (P) and absent (A). The aspect of sample sites ranged from 1 to 357 (Table 5). Pacific lampreys were present at aspects between 14 and 357 (Fig 3a). The mean aspect at sample sites where Pacific lampreys were present was 146.50 ± 94.25. The aspects at which Pacific lampreys were absent ranged from 1 to 347 with a mean of 147.16 ± 78.47. 25 Western brook lampreys were present at aspects between 2 and 347 (Fig 3b). The mean aspect at sample sites where western brook lampreys were present was 134.88 ± 81.50. The aspects at which western brook lampreys were absent ranged from 1 to 357 and had a mean of 160.52 ± 94.25. a. b. Figure 3. Aspect distribution by species Distribution of aspects at sample sites where a. Pacific lampreys (PL) and b. western brook lampreys (WBL) were present and not present. Table 6. Aspect t-tests Degrees of freedom (df), t-statistic, p-value, and confidence level of t-tests run to determine the role of aspect in differentiating between habitats where Pacific lampreys are present and absent (PL P/A), western brook lampreys are present and absent (WBL P/A), Pacific lampreys and western brook lampreys are present (PL/WBL P), and Pacific lampreys and western brook lampreys are absent (PL/WBL A). 26 The t test comparing the mean aspects where Pacific lampreys were present and absent did not find a significant difference between the means; t=-0.05, df=147, p=0.96 (Table 6). The t test comparing the mean aspects where western brook lampreys were present and absent found the aspects at which the species were present to be significantly smaller than those at which they were absent at a 90% confidence level; t=-1.76, df=147, p=0.08. The t test comparing the mean aspect at sites where Pacific lampreys were present and the mean aspect where western brook lampreys were present did not indicate a significant difference between the means; t=0.87, df=170, p=0.39. The t test comparing aspect where the species were absent also did not find a significant difference between the means; t=-0.87, df=124, p=0.39. Hillshade Table 7. Hillshade statistics Mean, minimum, and maximum hillshades at sample sites where Pacific lampreys (PL) and western brook lampreys (WBL) were present (P) and absent (A). The hillshade at sample sites ranged from 113 to 237 (Table 7). Pacific lampreys were present at hillshades between 129 and 237 (Fig 4a). The mean hillshade at sample sites where Pacific lampreys were present was 216.74 ± 19.07. The hillshades at which Pacific lampreys were absent ranged from 113 to 236 with a mean of 210.86 ± 28.40. 27 Western brook lampreys were present at hillshades between 129 and 232 (Fig 4b). The mean hillshade at sample sites where western brook lampreys were present was 216.58 ± 18.36. The hillshades where western brook lampreys were absent ranged from 113 to 237 and had a mean of 212.07 ± 27.68. a. b. Figure 4. Hillshade distribution by species Distribution of hillshades at sample sites where a. Pacific lampreys (PL) and b. western brook lampreys (WBL) were present and not present. Table 8. Hillshade t-tests Degrees of freedom (df), t-statistic, p-value, and confidence level of t-tests run to determine the role of hillshade in differentiating between habitats where Pacific lampreys are present and absent (PL P/A), western brook lampreys are present and absent (WBL P/A), Pacific lampreys and western brook lampreys are present (PL/WBL P), and Pacific lampreys and western brook lampreys are absent (PL/WBL A). 28 The t test comparing the mean hillshades where Pacific lampreys were present and absent found the mean hillshade where they were present to be significantly greater than where they were absent on an 80% confidence level; t=1.38, df=147, p=0.17 (Table 8). The t test comparing the mean aspects where western brook lampreys were present and absent found the hillshades where the species was present to be significantly greater than those at which they were absent at a 70% confidence level; t=1.15, df=147, p=0.25. The t test comparing the mean aspect at sites where Pacific lampreys were present and the mean hillshade where western brook lampreys were present did not indicate a significant difference between the means; t=0.06, df=170, p=0.95. The t test comparing hillshade where the species were absent also did not find a significant difference between the means; t=-0.24, df=124, p=0.81. Stream Density Table 9. Stream density statistics Mean, minimum, and maximum stream densities at sample sites where Pacific lampreys (PL) and western brook lampreys (WBL) were present (P) and absent (A). Stream density ranged from 0.000159 streams/ft2 to 0.001890 streams/ft2 (0.001711 streams/m2 to 0.02034 streams/m2) across all sample sites (Table 9). Pacific lampreys were present at stream densities between 0.000159 streams/ft2 and 0.001890 streams/ft2 (0.001711 29 streams/m2 to 0.02034 streams/m2)(Figure 5a). The mean stream density at sample sites where Pacific lampreys were present was 0.001072 ± 0.000355 streams/ft2 (0.01154 ± 0.003821 streams/m2). The stream densities at which Pacific lampreys were absent ranged from 0.000159 streams/ft2 to 0.001724 streams/ft2 (0.001711 streams/m2 to 0.01856 streams/m2) with a mean of 0.001038 ± 0.000333 streams/ft2 (0.01117 ± 0.003584 streams/m2). Western brook lampreys were present at stream densities between 0.000350 streams/ft2 and 0.001890 streams/ft2 (0.003767 streams/m2 to 0.02034 streams/m2)(Figure 5b). The mean stream density at sample sites where western brook lampreys were present was 0.001130 ± 0.000318 streams/ft2 (0.01216 ± 0.003423 streams/m2). The stream densities where western brook lampreys were absent ranged from 0.000159 streams/ft2 to 0.001759 streams/ft2 (0.001711 to 0.01893 streams/m2) and had a mean of 0.000977 ± 0.000361 streams/ft2 (0.01052 ± 0.003996 streams/m2). a. b. Figure 5. Stream density distribution by species Distribution of stream densities at sample sites where a. Pacific lampreys (PL) and b. western brook lampreys (WBL) were present and not present. 30 Table 10. Stream density t-tests Degrees of freedom (df), t-statistic, p-value, and confidence level of t-tests run to determine the role of stream density in differentiating between habitats where Pacific lampreys are present and absent (PL P/A), western brook lampreys are present and absent (WBL P/A), Pacific lampreys and western brook lampreys are present (PL/WBL P), and Pacific lampreys and western brook lampreys are absent (PL/WBL A). The t test comparing the mean stream density where Pacific lampreys were present and absent did not find a significant difference between the means; t=0.58, df=147, p=0.56 (Table 10). The t test comparing mean stream densities where western brook lampreys were present and absent found the stream densities where the species was present to be significantly greater than those at which they were absent at a 95% confidence level; t=2.72, df=147, p=0.007. The t test comparing the mean stream densities at sites where each species was present found that western brook lampreys were present at a significantly higher mean stream density at a 70% confidence level; t=-1.13, df=170, p=0.26. The t test comparing stream densities where the species were absent did not find a significant difference between the means; t=0.99, df=124, p=0.32. 31 Forest Type Table 11. Forest type means Mean of each forest type (classified 1 as the target forest type, 0 as any other forest type) at sample sites where Pacific lampreys (PL) and western brook lampreys (WBL) were present (P) and absent (A). The mean values of each forest type indicated the percentage of samples that fell under that category. Conifer forest had a mean value of 0.413 (41.3%) where Pacific lampreys were present, 0.421 (42.1%) where Pacific lampreys were absent, 0.463 (46.3%) where western brook lampreys were present, and 0.362 (36.2%) where western brook lampreys were absent (Table 11; Fig. 6). Mixed forest had a mean value of 0.261 (26.1%) where Pacific lampreys were present, 0.386 (38.6%) where Pacific lampreys were absent, 0.225 (22.5%) where western brook lampreys were present, and 0.406 (40.6%) where western brook lampreys were absent. Hardwood forest had a mean value of 0.326 (32.6%) where Pacific lampreys were present, 0.193 (19.3%) where Pacific lampreys were absent, 0.313 (31.3%) where western brook lampreys were present, and 0.232 (23.2%) where western brook lampreys were absent. 32 a. b. Figure 6. Forest type distribution by species Distribution of forest type at sample sites where a. Pacific lampreys (PL) and b. western brook lampreys (WBL) were present and not present. Table 12. Conifer forest type t-tests Degrees of freedom (df), t-statistic, p-value, and confidence level of t-tests run to determine the role of conifer forest type in differentiating between habitats where Pacific lampreys are present and absent (PL P/A), western brook lampreys are present and absent (WBL P/A), Pacific lampreys and western brook lampreys are present (PL/WBL P), and Pacific lampreys and western brook lampreys are absent (PL/WBL A). The t test did not find that a habitat being in a conifer dominant forest was significant in determining the presence of the Pacific lamprey; t=-0.10, df=147, p=0.92 (Table 12). The t test assessing the role of conifer forest type in determining western brook lamprey presence found that this forest type was significant on a 70% confidence level; t=1.24, df=147, p=0.22. Conifer 33 forest was not significant in differentiating between habitats where the two species were present (t=-0.65, df=170, p=0.52) or where the two species were absent (t=0.67, df=124, p=0.51). The t test found that a habitat being located in a mixed forest was significant in determining the presence of the Pacific lamprey on an 80% confidence level; t=-1.57, df=147, p=0.12 (Table 13). The t test assessing the role of mixed forest type in determining western brook lamprey presence found that this forest type was significant on a 95% confidence level; t=- 2.38, df=147, p=0.02. Mixed forest type was not significant in differentiating between habitats where the two species were present (t=0.55, df=170, p=0.59) or where the two species were absent (t=-0.22, df=124, p=0.82). Table 13. Mixed forest type t-tests Degrees of freedom (df), t-statistic, p-value, and confidence level of t-tests run to determine the role of mixed forest type in differentiating between habitats where Pacific lampreys are present and absent (PL P/A), western brook lampreys are present and absent (WBL P/A), Pacific lampreys and western brook lampreys are present (PL/WBL P), and Pacific lampreys and western brook lampreys are absent (PL/WBL A). 34 Table 14. Hardwood forest type t-tests Degrees of freedom (df), t-statistic, p-value, and confidence level of t-tests run to determine the role of hardwood forest type in differentiating between habitats where Pacific lampreys are present and absent (PL P/A), western brook lampreys are present and absent (WBL P/A), Pacific lampreys and western brook lampreys are present (PL/WBL P), and Pacific lampreys and western brook lampreys are absent (PL/WBL A). The t test found that a habitat being located in a hardwood dominant forest was significant in determining the presence of the Pacific lamprey on a 90% confidence level; t=1.85, df=147, p=0.07 (Table 14). The t test assessing the role of hardwood forest in determining western brook lamprey presence found that this forest type was significant on a 70% confidence level; t=1.10, df=147, p=0.27. Mixed forest type was not significant in differentiating between habitats where the two species were present (t=0.19, df=170, p=0.85) or where the two species were absent (t=-0.53, df=124, p=0.60). 35 Canopy Cover Table 15. Canopy cover statistics Mean, minimum, and maximum canopy covers at sample sites where Pacific lampreys (PL) and western brook lampreys (WBL) were present (P) and absent (A). Canopy cover ranged from 0% to 89.19% across all sample sites (Table 15). Pacific lampreys were present between canopy covers of 0% and 89.19% (Fig. 7a). The mean canopy cover at sample sites where Pacific lampreys were present was 35.47 ± 30.40%. The canopy covers at which Pacific lampreys were absent ranged from 0% to 85.31% with a mean of 39.44 ± 31.03%. Western brook lampreys were present at canopy covers between 0% and 86.19% (Fig. 7b). The mean canopy cover at sample sites where western brook lampreys were present was 33.46 ± 30.13%. Canopy cover where western brook lampreys were absent ranged from 0 to 89.19% and had a mean of 41.09 ± 30.86%. 36 a. b. Figure 7. Canopy cover distribution by species Distribution of canopy cover at sample sites where a. Pacific lampreys (PL) and b. western brook lampreys (WBL) were present and not present. Table 16. Canopy cover t-tests Degrees of freedom (df), t-statistic, p-value, and confidence level of t-tests run to determine the role of canopy cover in differentiating between habitats where Pacific lampreys are present and absent (PL P/A), western brook lampreys are present and absent (WBL P/A), Pacific lampreys and western brook lampreys are present (PL/WBL P), and Pacific lampreys and western brook lampreys are absent (PL/WBL A). The t test comparing the mean canopy cover where Pacific lampreys were present and absent did not find a significant difference between the means; t=-0.76, df=147, p=0.45 (Table 16). The t test comparing mean canopy cover where western brook lampreys were present and 37 absent found the canopy covers where the species was present to be significantly less than those at which they were absent at a 80% confidence level; t=-1.52, df=147, p=0.13. The t test comparing the mean canopy covers at sites where each species was present did not find a significant difference between the means; t=0.44, df=170, p=0.66. The t test comparing canopy covers where the species were absent did not find a significant difference between the means either; t=-0.30, df=124, p=0.77. Cost Distance Table 17. Cost distance statistics Mean, minimum, and maximum cost distances at sample sites where Pacific lampreys (PL) and western brook lampreys (WBL) were present (P) and absent (A). Cost distance is a measure of the cost of traveling a given distance by considering slope and elevation gain. The value of each cell in cost units is calculated based on the cell’s length and the cost or energy required to cross it. For example, a cell that is 10 m wide and has a cost value of 10 would have a final value of 100 in a cost distance raster. Cost distance ranged from 1.00x105 to 6.13x108 across all sample sites (Table 17). Pacific lampreys were present at cost distances between 1.00x105 to 2.51x108 (Fig 8a). The mean cost distance at sample sites where Pacific lampreys were present was 6.01x107 ± 6.11x107. The cost distances at which Pacific lampreys were absent ranged from 1.88x105 to 6.13x108 with a mean of 1.04x108 ± 1.21x108. 38 Western brook lampreys were present at cost distances between 1.00x105 and 6.13x108 (Fig 8b). The mean cost distance at sample sites where western brook lampreys were present was 4.95x107 ± 4.05x107. The cost distances where western brook lampreys were absent ranged from 1.00x105 to 6.13x108 and had a mean of 1.09x108 to 1.19x108. a. b. Figure 8. Cost distance distribution by species Distribution of cost distance at sample sites where a. Pacific lampreys (PL) and b. western brook lampreys (WBL) were present and not present. Table 18. Cost distance t-tests Degrees of freedom (df), t-statistic, p-value, and confidence level of t-tests run to determine the role of cost distance in differentiating between habitats where Pacific lampreys are present and absent (PL P/A), western brook lampreys are present and absent (WBL P/A), Pacific lampreys and western brook lampreys are present (PL/WBL P), and Pacific lampreys and western brook lampreys are absent (PL/WBL A). 39 The t test comparing the mean cost distance where Pacific lampreys were present and absent found that the mean cost distance where the species was present to be significantly less than the mean where it was absent on a 95% confidence level; t=-2.54, df=147, p=0.01 (Table 18). The t test comparing mean cost distances where western brook lampreys were present and absent found the mean cost distance where the species was present to be significantly less than those at which they were absent at a 95% confidence level; t=-3.92, df=147, p=0.0002. The t test comparing the mean cost distances at sites where each species was present found that Pacific lampreys were present at a significantly higher mean cost distance on an 80% confidence level; t=1.35, df=170, p=0.18. The t test comparing cost distances where the species were absent did not find a significant difference between the means; t=-0.21, df=124, p=0.83. Models The logistic regression model for the Pacific lamprey had an accuracy of 43%, the decision tree classifier had an accuracy of 63% and the random forest classifier had an accuracy of 60%. The logistic regression model for the western brook lamprey had an accuracy of 47%, the decision tree classifier had an accuracy of 77%, and the random forest classifier had an accuracy of 83%. The random forest classifier for the Pacific lamprey data recalled 31% of the absences correctly and 82% of the presences correctly. The random forest classifier for the western brook lamprey data recalled 73% of the absences correctly and 89% of the presences correctly. 40 Figure 9. Mean decrease in impurity (MDI) plots by species Mean decrease in impurity (MDI) due to each variable for the a. Pacific lamprey and b. western brook lamprey habitat random forest classifiers Table 19. Mean decrease in impurity (MDI) Mean decrease in impurity (MDI) values by variable In the Pacific lamprey model the MDI due to elevation was 0.19, the MDI due to slope was 0.15, the MDI due to aspect was 0.12, the MDI due to hillshade was 0.10, the MDI due to stream density was 0.11, the MDI due to conifer forest was 0.02, the MDI due to mixed forest was 0.03, the MDI due to hardwood forest was 0.01, the MDI due to canopy cover was 0.13, and the MDI due to cost distance was 0.15 (Fig. 9a; Table 19). 41 In the western brook lamprey model, the mean decrease in impurity (MDI) due to elevation was 0.24, the MDI due to slope was 0.10, the MDI due to aspect was 0.10, the MDI due to hillshade was 0.07, the MDI due to stream density was 0.16, the MDI due to conifer forest was 0.01, the MDI due to mixed forest was 0.01, the MDI due to hardwood forest was 0.01, the MDI due to canopy cover was 0.07, and the MDI due to cost distance was 0.24 (Fig. 9b; Table 19). 42 Discussion Pacific Lamprey Habitat Elevation and cost distance were the only variables significant in determining Pacific lamprey presence at or above a 95% confidence level. Slope, hillshade, mixed forest, and hardwood forest were deemed significant in determining Pacific lamprey presence on a 70%- 90% confidence level. The potential reasoning behind significance will be discussed for all of the listed variables due to the potential impact of chosen methods on results, however only variables on the 95% confidence level have been accepted as significant. The comparatively small number of significant variables in addition to their low confidence levels suggest that Pacific lamprey habitat is not easily defined. While the majority of sample sites where Pacific lampreys were present were at elevations under 225 ft (68.5 m), Pacific lampreys were consistently detected up to 1220 ft (371.8 m). It is reasonable to predict that they are fairly common at elevations above 225 ft (68.5 m) and that the low number of high elevation presences in this dataset is a result of the elevation distribution of sample sites. Pacific lampreys were present at relatively small slopes in the context of all slopes sampled, which could be explained by their poor swimming ability in relation to other freshwater fishes. This could also be associated with their greater presence at lower elevations. The significance of hillshade in Pacific lamprey habitat may be associated with the significance of slope, as hillshade values closer to zero often coincide with steep slopes, both of which are not preferred by this species (Appendix B). Presence and absence were both most common in conifer forests which is due to the distribution of sampled forest types and explains why this variable was not significant. Pacific 43 lampreys were more often absent in mixed forests and more frequently present in hardwood forests, showing a potential preference for hardwood forests over mixed forests. The highest cost distance at which Pacific lampreys were present was only about half of the maximum cost distance sampled. This is reasonable in the context of the species’ maximum elevation, as cost distance considers elevation and slope. This value also presents a limit for how far this species migrates upstream before settling to spawn. Western Brook Lamprey Habitat All ten of the assessed variables (elevation, slope, aspect, hillshade, stream density, conifer forest, mixed forest, hardwood forest, canopy cover, cost distance) were significant at a confidence level of 70% or higher in determining whether the western brook lamprey was present. The significance of such a wide array of variables would indicate that western brook lampreys have specific habitat preferences. However, only elevation, stream density, mixed forest type, and cost distance were significant on a 95% confidence level, meaning these are the only variables accepted as truly significant in the context of this paper. As with the Pacific lamprey, all variables will be discussed for the purpose of their potential implications in future studies. While the maximum elevation at which western brook lampreys were present was about 438 ft (133.55 m), only one sample above 225 ft (68.5 m) indicated presence of western brook lamprey DNA. Furthermore, the mean elevation where western brook lampreys were present was 47 ft (14.33 m), indicating that this species is most common at elevations below 225 ft (68.5 m), but can be found up to elevations of about 500 ft (152 m). The mean slope at sample sites where western brook lampreys were absent was significantly higher than slopes where they were present, indicating the preference for gentler 44 slopes. This preference could be related to their small body size, stream flow rate, or impacts of slope and flow on substrate type. The mean aspect where western brook lampreys were present was significantly smaller than where they were absent. Aspect is measured clockwise in degrees starting from true north, meaning the habitat western brook lampreys were not occupying was slightly more south-facing than their preferred habitat. The mean hillshade value where western brook lampreys were present was higher than that where they were absent. Hillshade is expressed by integers ranging from 1 to 255, with 255 representing areas that are completely shaded. Because the difference between hillshade values where western brook lampreys were present and absent was so small and significance could only be suggested with 70%, it is likely that hillshade is not a good indicator of suitable western brook lamprey habitat. Stream density was a significant indicator of western brook lamprey presence on a confidence level of 95%. Sample sites with stream densities between 0.001 and 0.00125 streams/ft2 (0.0108 and 0.0135 streams/m2) had a considerable number of presences, indicating this range of stream densities to be preferred habitat for western brook lampreys. This may have to do with western brook lamprey life history, as these lampreys extend their range by migrating short distances from the redd from which they hatched. A more condensed stream network may also be equated with greater available habitat and because western brook lampreys do not migrate long distances from their origin, this may give populations greater opportunity to establish themselves with ample resources. The mean values for forest types suggest that western brook lampreys most prefer conifer forests and tend to inhabit mixed forests least often. While t-tests show that all three forest types 45 are significant in determining western brook lamprey presence versus absence, the fact that lampreys are more often present in strictly hardwood forest or conifer forest implies that this significance is likely due to other factors. Canopy cover was only a significant indicator of lamprey presence on a 70% confidence level, but the means where the species was present and absent indicate that it prefers canopy cover around 33%. There is significant overlap between the two distributions, though, which would suggest that canopy cover is not a reliable predictor of presence. The highest cost distance at which western brook lampreys were present was about one third of the maximum cost distance sampled. Cost distance does not have the same significance for western brook lampreys as it does for Pacific lampreys because this species does not migrate to their habitat from the ocean. Therefore, western brook lamprey presence at a high cost distance is not necessarily related to ability to travel that distance, but rather speaks to the location of the habitat in the stream and how it compares to the location of Pacific lampreys. Comparison Ten of the explanatory variables were significant in defining differences between habitats where western brook lampreys were present and absent, while only six were significant for Pacific lampreys. This would suggest that Pacific lampreys more readily adapt to different environments while western brook lampreys have a more specific set of requirements for suitable habitat. The adaptability of Pacific lampreys may be attributed to their migratory lifestyle as they must be able to survive in every environment they pass through while migrating down the length of streams towards the ocean. Western brook lampreys, on the other hand, exhibit minimal migration and their small body size may make them more susceptible to changing conditions. 46 For example, changes in canopy cover and slope could influence water temperature and flow rate, two variables that would more readily affect smaller animals. Elevation, stream density, and cost distance were the only explanatory variables that proved significant in differentiating between the two species’ preferred habitats. It was originally expected that western brook lampreys would occupy higher elevations as their resident life history and small size would allow them to penetrate further up stream networks over time. While western brook lampreys were generally found at elevations under 225 ft (the site at 438 ft was the only presence above 225 ft), Pacific lampreys were found at elevations up to 1220 ft. The significantly higher mean elevation at which Pacific lampreys were present is likely a result of their body size and thus greater ability to overcome passage barriers. Western brook lampreys were generally found at higher stream densities than Pacific lampreys. Higher stream densities may be associated with more complex stream networks of small tributaries. Western brook lampreys may be more prevalent in these environments because their smaller body size allows them to occupy smaller streams. In addition, these complex stream networks may be further from the ocean and more complicated to reach, so western brook lampreys may have a higher chance of reaching them by migrating from nearby source populations rather than from the ocean. The significance of cost distance can be attributed to many of the same factors as elevation. Cost distance gives insight into how far from the ocean a habitat is and how difficult it would be to travel there from the coast, so Pacific lampreys’ presence at higher cost distance speaks to their stronger swimming abilities and success at overcoming certain barriers. None of the explanatory variables proved significant in differentiating between habitats where each species was absent, suggesting that the habitats in which the species were absent are 47 similar in terms of these variables. Therefore, it may be easier to define habitats where they are absent. For example, you should not expect to find either species above 1220 ft based on these data. The two species showed some similarities for preferred habitat in terms of canopy cover, slope, hillshade. While canopy cover had large standard deviations for all groups, habitats where the species were present averaged about 34% while the habitats where they were absent had a mean of about 40%. The species also had very similar values for slope (sites where they were present had means of about 5) and hillshade (sites where they were present had means of about 216). While this study does not have any official findings regarding the similarities between the habitats of these two species, the similarities between the means of these variables may indicate their applicability to lampreys overall even if they are not species specific. Models The accuracy scores for the random forest classifiers reiterate the specificity and predictability of western brook lamprey habitat in comparison with the more variable Pacific lamprey habitat. It is worth noting that the model more accurately predicts presence than absence, meaning it is more likely to produce a false positive than a false negative. This is ideal for management applications, as it would be favorable to assume lampreys are present and take precautions so as not to risk habitat degradation or threats to the animals. Elevation, cost distance, and stream density were the most important variables in predicting western brook lamprey presence. These leading variables agree with the t test results, indicating that they are good indicators of western brook lamprey presence. 48 Variables were much more even in their influence on the Pacific lamprey suitability model. Elevation was the only clear lead in MDI, but cost distance and slope didn’t fall far behind. The degree of influence from all other variables, excluding forest type, agreed with the t test results as well. Although t tests proposed that forest types were significant to the habitat of both species, they had the least influence of all variables in both models. This may be evidence that they are not truly important and that their significance in the t tests was due to chance. Limitations Observational data mentions that western brook lampreys are more prevalent in third order or smaller tributaries, suggesting that stream order should be a clear defining variable between Pacific and western brook lamprey preferred habitat (Schooler et al. 2022; Clemens & Wade 2023). While stream order was originally included in the list of explanatory variables for this analysis, the high definition and small size of the sampled creeks combined with the large study area made it exceedingly difficult to create an accurate stream order layer. The NHD Flowline dataset has a stream order field, however many of these classifications proved inaccurate and therefore could not support statistical analysis. The extensive observational data supporting the significance of stream order in specific lamprey habitat should be sufficient to argue the importance of this variable, however statistical analysis could be undertaken by deriving stream order manually. Correlations between variables presents a potential issue by deducing significance in variables that may not be truly important themselves (Appendix B). For example, the values of hillshade and slope at the sample sites used in this study had a correlation of -0.93. While it is clear to see why slope may be significant in lamprey habitat, it is likely that any significant 49 relationship between lamprey presence and hillshade is due to the slope at that site rather than the influence of hillshade. Elevation and cost distance also shared a relatively high correlation (0.78), but this correlation results from similarities between the measurements and thus should not produce any misleading results. As mentioned in the introduction, the nature of the eDNA data collection means analysis of sample sites may not produce results true to the lamprey habitat. In treating the sample sites as the source of the DNA as this study did, there is risk that DNA originated upstream and lampreys are not truly present at the habitat treated as suitable. On the other hand, DNA detected in sampling could originate 2 m upstream from the sample site, so averaging variables over several km could incorporate some habitat that is not suitable for the species. Because it is impossible to know the exact origin of the DNA detected at the sample site, it is also impossible to generalize habitat on a stream reach basis without some degree of speculation. While it is possible that lampreys were not truly present at some sample sites where their DNA was detected, many of the variables considered in this analysis and their associated conclusions are still viable. For example, while lampreys may have been present in the habitat above the maximum of 438 ft of elevation where they were detected, 438 ft should still be close to their maximum elevation. In addition, the significant difference between the elevations where each species was present should still stand. The values of most other variables should be similar enough in the upstream habitat to the values at sample sites to generally apply these conclusions. Use of quantitative PCR in lotic ecosystems may be one option for more reliably predicting the location of the source population. Alternatively, presence/absence sampling over smaller set of streams in segments would provide set areas in which to average variables. This would set a more consistent framework for characterizing upstream habitat while also potentially 50 identifying a population’s upstream limit. In situations where neither of these alternatives is possible, drawing upon eDNA persistence models, such as those described in Jo & Yamanaka (2020) should provide a good compromise for considering upstream habitat without too much risk of incorporating unsuitable habitat. Conclusion Western brook lamprey habitat is much more specific than Pacific lamprey habitat in the context of the chosen variables. The most definitive difference between the two habitats is elevation, as western brook lampreys were detected at a maximum of 438 ft and Pacific lampreys were detected up to 1220 ft. The significant difference between the maximum elevations at which each species was detected is also the most readily applicable finding from this analysis. As previously mentioned, the findings from this paper are not sufficient to predict the presence or absence of a species with 100% certainty, but the predictive file can be used to understand whether lamprey presence is likely prior to initiating restoration and construction projects. 51 Appendix A Variable summary table for sites where species were present 52 Appendix B Variable Correlation Matrix 53 Bibliography Balasingham, Walter, R. P., & Heath, D. D. (2017). 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