Table 1.

Summary of partial receiver operating characteristic tests for Maxent and minimum volume ellipsoid (MVE) models, in terms of number of non-significant (α = 0.05) iterations, range of partial ROC AUC ratio scores, and mean AUC ratio for each sub-sample; AUC ratios above 1.0 are indicative of better-than-random model predictions. (Partial ROC (pROC) tests evaluate the statistical significance of niche model predictions in comparison with a random classifier, subject to a maximum proportional amount of omission error (E; [39]): no. NS indicates the number out of 100 random replicate analyses for which the AUC ratio was greater than 1, pROC range and mean indicate the general magnitude of the AUC ratios across the 100 replicate analyses, and ln bias indicates results from the bias surface that was natural-log transformed.)

			thinned			balanced
		subsample	no. NS	pROC range	mean pROC	no. NS	pROC range	mean pROC
MVE	E = 1%	1	100	0.963–0.998	0.979	5	0.986–1.327	1.125
		2	81	0.963–1.063	0.989	19	0.977–1.925	1.177
		3	96	0.964–1.030	0.987	3a	0.979–1.334	1.157
		4	93	0.964–1.021	0.986	2a	0.983–1.303	1.133
		5	96	0.963–1.038	0.979	21	0.962–1.344	1.129
	E = 5%	1	95	0.964–1.038	0.983	10	0.984–1.327	1.125
		2	60	0.963–1.087	0.996	5	0.981–1.300	1.197
		3	87	0.964–1.066	0.990	4a	0.974–1.342	1.177
		4	80	0.965–1.050	0.993	1a	0.980–1.326	1.210
		5	96	0.963–1.046	0.980	33	0.962–1.320	1.094
Maxent	no bias	1	0a	1.018–1.377	1.088	0a	1.196–1.467	1.353
		2	0a	1.032–1.393	1.109	0a	1.236–1.455	1.351
		3	0a	1.020–1.394	1.077	0a	1.153–1.499	1.347
		4	0a	1.013–1.171	1.056	0a	1.320–1.494	1.367
		5	0a	1.029–1.391	1.134	0a	1.140–1.532	1.334
	bias	1	15	0.994–1.092	1.028	0a	1.022–1.276	1.110
		2	2a	0.997–1.130	1.048	0a	1.010–1.207	1.054
		3	1a	0.998–1.224	1.078	0a	1.016–1.216	1.105
		4	8	0.997–1.153	1.047	0a	1.005–1.191	1.060
		5	1a	0.996–1.560	1.045	0a	1.017–1.262	1.105
	ln bias	1	13	0.996–1.099	1.029	0a	1.111–1.292	1.190
		2	4a	0.997–1.130	1.043	0a	1.076–1.245	1.153
		3	0a	1.006–1.205	1.074	0a	1.163–1.319	1.209
		4	4a	0.999–1.259	1.046	0a	1.108–1.237	1.188
		5	7a	0.996–1.141	1.036	0a	1.063–1.297	1.196

^aDenotes significant sub-sample evaluation.