1 Journal of Biogeography SUPPORTING INFORMATION Occupancy patterns of large mammals in the Far North of Ontario under imperfect detection and spatial autocorrelation Lucy G. Poley, Bruce A. Pond, James A. Schaefer, Glen S. Brown, Justina C. Ray and Devin S. Johnson Appendix S1 Habitat covariates in the Boreal Shield ecozone, Hudson Bay Lowlands ecozone, and whole study area (Hudson Bay Lowlands + Boreal Shield) in the Far North of Ontario, Canada. The first three covariates show the percentage of total land cover in the ecozone composed of each land cover type. The last two covariates show the averages calculated from values for each sampling unit. Covariate Bog (%) Disturbed (%) Water (%) Nearest settlement (average, km) Elevation (average SD, m) Boreal Shield 21.68 15.94 13.41 43.69 6.51 Hudson Bay Lowlands 60.06 2.14 6.87 98.80 4.38 Whole study area 51.77 7.57 9.53 73.44 5.17 2 Appendix S2 Detection, occupancy, and spatial variance parameter estimates and credible intervals. Table S1 Means and 95% credible intervals (CIs) of detection parameters estimated in occupancy analyses for (a) woodland caribou and (b) moose in the Boreal Shield (BSH) and Hudson Bay Lowlands (HBL) ecozone models, Ontario, Canada. The parameters for (c) wolf were estimated across the whole study area (WSA; both ecozones combined). All parameters except for Julian day and % open represent the mean value in each study unit during each survey visit; % open represents the percentage of a 1000 m buffer zone surrounding the flight path in each study unit comprised of open land cover. Covariates with CIs not encompassing zero were considered to be important, while covariates with CIs encompassing zero were considered to have no relationship with species detection. (a) Caribou Parameter* (Intercept) Julian day Altitude Speed Time of day Time of day2 % open BSH mean 7.68 -2.32 x 10-3 0.00038 0.0012 4.61 -4.30 0.94 BSH CI (-12.77, 28.83) (-5.90 x 10-3, 1.61 x 10-3) (-0.0014, 0.0022) (-0.0039, 0.0061) (-32.12, 43.00) (-30.71, 20.76) (0.42, 1.47) HBL mean 53.22 -1.66 x 10-3 -1.06 x 10-3 9.50 x 10-4 37.02 -26.13 0.81 HBL CI (35.83, 69.55) (-2.05 x 10-3, -1.24 x 10-3) (-2.72 x 10-3, 4.93 x 10-3) (-3.28 x 10-3, 5.30 x 10-3) (20.60, 54.06) (-38.31, -14.59) (0.20, 1.41) BSH mean 5.60 1.49 x 10-4 -1.9 x 10-3 -7.46 x 10-3 -24.15 14.77 -0.18 BSH CI (-11.81, 23.20) (-1.47 x 10-4, 4.78 x 10-4) (-3.60 x 10-3, -3.66 x 10-4) (-1.16 x 10-2, -3.52 x 10-3) (-55.44, 4.75) (-5.58, 35.50) (-0.53, 0.17) HBL mean -5.17 7.50 x 10-5 -1.93 x 10-3 -2.65E x 10-3 5.61 -4.25 -1.05 HBL CI (-24.31, 13.23) (-4.01 x 10-4, 5.25 x 10-4) (-3.64 x 10-3, -2.67 x 10-4) (-7.27 x 10-3, 1.90 x 10-3) (-10.68, 22.09) (-15.76, 7.47) (-1.52, -0.58) WSA mean 7.46 -8.60 x 10-4 -0.0027 -0.0063 -12.15 7.72 -0.45 WSA CI (-3.45, 19.15) (-3.33 x 10-3, 1.70 x 10-3) (-0.0041, -0.0012) (-0.0097, -0.0029) (-27.02, 2.23) (-2.57, 17.84) (-0.79, -0.14) (b) Moose Parameter (Intercept) Julian day Altitude Speed Time of day Time of day2 % open (c) Wolf Parameter (Intercept) Julian day Altitude Speed Time of day Time of day2 % open *Altitude = average above ground altitude of the aircraft; speed = mean speed of the aircraft; time of day = mean time of day of survey visit, paired with a squared term; % open = percentage of a 1000 m buffer around the flight path through each survey unit comprised of open land cover classes. All parameters were specific to each survey visit (from one to five visits per survey unit). 3 Table S2 Means and 95% credible intervals (CIs) of occupancy parameters estimated in an occupancy analysis for (a) woodland caribou and (b) moose in the Boreal Shield (BSH) and Hudson Bay Lowlands (HBL) ecozone models, Ontario, Canada. The parameters for (c) wolf were estimated across the whole study area (WSA; both ecozones combined). Covariates with CIs not encompassing zero were considered to be important, while covariates with CIs encompassing zero were considered to have no relationship with species occupancy. (a) Caribou Parameter (Intercept) Ruggedness Bog Water Disturbed Settlement BSH mean 0.39 -0.074 2.40 x 10-8 -4.55 x 10-8 -1.69 x 10-8 0.28 BSH CI (-0.39, 1.15) (-0.12, -0.032) (1.18 x 10-8, 3.71 x 10-8) (-6.05 x 10-8, -2.94 x 10-8) (-2.49 x 10-8, -9.29 x 10-9) (0.033, 0.53) HBL mean -0.89 -0.02 -3.34 x 10-8 -1.51 x 10-8 1.12 x 10-8 1.17 HBL CI (-1.82, 0.02) (-0.07, 0.02) (-5.02 x 10-8, -1.73 x 10-8) (-2.31 x 10-8, -6.96 x 10-9) (-9.44 x 10-9, 3.20 x 10-8) (0.76, 1.58) BSH mean 2.08 -0.01 -3.93 x 10-8 -3.58 x 10-8 3.53 x 10-8 0.32 BSH CI (0.96, 3.24) (-0.09, 0.08) (-5.24 x 10-8, -2.71 x 10-8) (-5.41 x 10-8, -1.80 x 10-8) (1.23 x 10-8, 6.10 x 10-8) (-0.03, 0.67) HBL mean 0.23 0.11 -1.09 x 10-8 -4.69 x 10-8 9.02 x 10-9 0.23 HBL CI (-0.55, 1.00) (0.05, 0.17) (-1.84 x 10-8, -3.11 x 10-9) (-6.51 x 10-8, -2.91 x 10-8) (-1.69 x 10-8, 3.87 x 10-8) (-0.11, 0.54) WSA mean -0.59 -0.20 -5.90 x 10-9 0.93 1.05 WSA CI (-1.24, 0.069) (-0.57 x 10-9, 0.16) (-1.28 x 10-8, 9.56 x 10-10) (0.52, 1.40) (0.42, 1.71) (b) Moose Parameter (Intercept) Ruggedness Bog Water Disturbed Settlement (c) Wolf Parameter (Intercept) Settlement Bog Caribou Moose 4 Table S3 The 95% credible intervals of the spatial variance parameter (σ = 1/√τ) from the occupancy models for woodland caribou, moose and wolves in two ecozones (Boreal Shield, BSH, and Hudson Bay Lowlands, HBL), in the Far North of Ontario, Canada. The prior distribution was the same for all models. Model Prior Caribou (BSH) Caribou (HBL) Moose (BSH) Moose (HBL) Wolf (Whole study area) Lower CI 0.0028 2.51 2.29 1.22 1.55 1.44 Upper CI 0.079 3.78 3.21 2.45 2.44 2.49