Table 2. Maximum likelihood parameter estimates and model selection criteria for eight Tucson-area desertscrub species. See Table 1 for species names. † Akaike Information Criterion. Boldface indicates models considered to have “substantial empirical support,” i.e., AIC–AICbest ≤ 2. ‡ Lowest AIC value among models, indicating highest likelihood given the data after penalization for number of parameters. § Mean area under the receiver operating curve (AUC) based on 10-fold cross-validation of the best model. MLOGISTIC, MASYMP, MBILOG, and MCONSTRAINT represent the logistic, asymptote, bivariate logistic, and constraint models, respectively. AICbest‡ AUCbest§ Species AIC† MLOGISTIC MASYMP MBILOG MCONSTRAINT 340.62 0.702 GIWO 347.62 342.94 349.67 340.62 390.58 0.715 CACW 402.32 394.57 402.92 390.58 358.80 0.801 GAQU 415.33 397.70 408.90 358.80 482.25 0.578 CBTH 487.18 482.25 490.03 485.42 475.05 0.664 VERD 488.57 476.73 492.31 475.05 328.67 0.766 ATFL 333.53 333.07 328.73 328.67 290.79 0.758 PYRR 322.77 307.63 318.76 290.79 265.64 0.798 GIFL 280.53 281.59 265.64 266.85