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. 2018 Jul 25;8:11231. doi: 10.1038/s41598-018-29395-6

Table 2.

Mixed-effects linear regression modelling results with maximum-likelihood population effects based on least-cost and resistance-distances.

Distance (model) Variable AIC BIC logLik ΔAIC
LCD (IBR) elev −58881.0 −58846.8 29444.5 0.0
LCD (IBR) bio16 −58238.2 −58204.0 29123.1 642.9
LCD (IBR) sdm −57764.8 −57730.6 28886.4 1116.3
LCD (IBR) d2b −57153.7 −57119.5 28580.9 1727.3
LCD (IBR) slopeD −57051.7 −57017.5 28529.9 1829.3
LCD (IBR) vegS −56945.1 −56910.9 28476.6 1935.9
LCD (IBR) vegW −56909.8 −56875.6 28458.9 1971.3
LCD (IBR) cfv −56884.0 −56849.8 28446.0 1997.1
LCD (IBR) bio9 −56881.9 −56847.7 28445.0 1999.1
RD (IBR) vegS −56874.3 −56840.1 28441.2 2006.7
GD (IBD) geo −56820.4 −56786.2 28414.2 2060.7
LCD (IBR) bio8 −56814.2 −56780.0 28411.1 2066.8
LCD (IBR) slopeF −56764.2 −56730.0 28386.1 2116.9
LCD (IBR) bio17 −56702.8 −56668.6 28355.4 2178.2
LCD (IBR) bd −56611.6 −56577.4 28309.8 2269.5
RD (IBR) bio16 −56051.5 −56017.2 28029.7 2829.6
RD (IBR) sdm −55851.8 −55817.6 27929.9 3029.2
RD (IBR) slopeF −55741.4 −55707.2 27874.7 3139.6
RD (IBR) bio9 −55692.4 −55658.2 27850.2 3188.6
RD (IBR) vegW −55395.9 −55361.7 27702.0 3485.1
RD (IBR) d2b −55300.4 −55266.2 27654.2 3580.6
RD (IBR) bd −54839.2 −54805.0 27423.6 4041.9
RD (IBR) elev −54636.6 −54602.4 27322.3 4244.4
RD (IBR) bio17 −54552.4 −54518.2 27280.2 328.7
RD (IBR) cfv −54189.8 −54155.6 27098.9 4691.2
ED (IBE) vegW −54175.1 −54140.9 27091.6 4705.9
ED (IBE) vegS −54138.7 −54104.4 27073.3 4742.4
ED (IBE) bio17 −54111.2 −54077.0 27059.6 4769.8
RD (IBR) slopeD −54111.1 −54076.9 27059.6 4769.9
ED (IBE) bio16 −53332.9 −53298.7 26670.4 5548.1
RD (IBR) bio8 −53169.2 −53135.0 26588.6 5711.8
ED (IBE) bio9 −53141.3 −53107.1 26574.6 5739.7
ED (IBE) elev −52919.0 −52884.8 26463.5 5962.0
ED (IBE) cfv −52901.5 −52867.3 26454.7 5979.6
ED (IBE) d2b −52888.9 −52854.7 26448.4 5992.2
ED (IBE) slope −52873.2 −52838.9 26440.6 6007.9
ED (IBE) bd −52868.7 −52834.5 26438.3 6012.4
ED (IBE) bio9 −52866.9 −52832.7 26437.4 6014.2

SlopeD stands for ‘slope resistance based on density’ and slopeF stands for ‘slope resistance based on friction’. Rows highlighted in bold indicate models with a better fit than IBD (GD geographic distance) based on AIC and BIC. AIC, Akaike Information Criterion; BIC, Bayesian Information Criterion; logLik, log-likelihood; LCD, least-cost distance; RD, resistance distance; ED, environmental distance; GD, geographic distance; IBD, isolation-by-distance; IBR, isolation-by-resistance; IBE, isolation-by-environment. See Table 1 for details on variable abbreviations.