Table 2. Statistics describing the results of ecological niche model validations.

Niche model	AUC	SE	AUCmax	SE	% O	# trn. pts.	# vld. pts.
Common carp Native	0.8509*	0.0540	0.8509	0.0540	0.0	38	20
Common carp Intro.	0.6215*	0.0083	0.7315	0.0080	8.8	-	1303
Grass carp Native	0.8616*	0.0539	0.8616	0.0539	0.0	18	20
Grass carp Intro.	0.7078*	0.0427	0.8042	0.0386	19.8	-	47
Black carp Native	0.8745*	0.0506	0.9082	0.0445	6.5	21	20
Black carp Intro.	-	-	-	-	-	-	-
Tench Native	0.7955*	0.035	0.8006	0.035	0.0	234	58
Tench Intro.	0.6242*	0.0548	0.9498	0.0278	54.7	-	30

^*p<0.001.

AUC: Area under the curve derived from ROC analysis. SE: Standard error of AUC. AUCmax: Maximum AUC, calculated with each independent validation data point receiving the maximum score. %O: Percent omission, a measure of model omission error across the 10 best model set. # train. pts: Number of training points for each niche model. # valid. pts.: Number of validation points for each niche model.