Soria-Díaz Et Al. Online Appendix for Top-Down and Bottom-Up Control on Cougar and Its

Soria-Díaz et al. Online Appendix for “Top-down and bottom-up control on cougar and its prey in a central Mexican Natural Reserve.”

Appendix A Individual candidate models describing the changes in the SNNR food web in bi-annual surveys from January 2004 to December 2009. Parameters are included in the model as ln(RAIi) for each species (see eqn. 2 in the main text).

Tables A1 Comparison of candidate models to describe per-capita changes in abundance (pca) for Cougar.

Table A1.1 Model 1 Results for Cougar pca: F4,4 = 21.58, p = 0.006, R2 = 0.96, AICc = 52.2, DAICc = 23.2.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / 2.77 / 0.986 / 2.81 / 0.0481
Cougar / -3.05 / 0.377 / -8.1 / 0.00126
White-tailed deer / 0.268 / 0.436 / 0.615 / 0.572
Coati / 1.37 / 0.569 / 2.41 / 0.0735
Armadillo / 2.47 / 0.92 / 2.68 / 0.0551


Table A1.2 Model 2 Results for Cougar pca: F3,5 = 0.50, p = 0.70, R2 = 0.23, AICc = 53.9, DAICc = 24.9.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / -2.08 / 2.92 / -0.711 / 0.509
White-tailed deer / 0.222 / 1.63 / 0.137 / 0.897
Coati / -0.542 / 1.93 / -0.28 / 0.79
Armadillo / -2.06 / 2.73 / -0.756 / 0.483


Table A1.3 Model 3 Results for Cougar pca: F3,5 = 32.71, p = 0.001, R2 = 0.95, AICc = 29.0, DAICc = 0.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / 3.06 / 0.815 / 3.75 / 0.0133
Cougar / -3.05 / 0.353 / -8.65 / 0.000342
Coati / 1.67 / 0.282 / 5.91 / 0.00197
Armadillo / 2.82 / 0.673 / 4.19 / 0.00853


Table A1.4 Model 4 Results for Cougar pca: F2,6 = 0.88, p = 0.46, R2 = 0.23, AICc = 42.0, DAICc = 13.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / -1.84 / 2.14 / -0.86 / 0.423
Coati / -0.294 / 0.612 / -0.48 / 0.648
Armadillo / -1.77 / 1.51 / -1.17 / 0.286



Tables A2 Comparison of candidate models to describe per-capita changes in abundance (pca) for White-tailed deer.

Table A2.1 Model 1 Results for White-tailed deer pca: F1,9 = 10.69, p = 0.01, R2 = 0.53, AICc = 28.4, DAICc = 0.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / 0.555 / 0.239 / 2.33 / 0.0451
Cougar / -0.991 / 0.303 / -3.27 / 0.010


Table A2.2. Model 2 Results for White-tailed deer pca: F1,9 = 2.05, p = 0.19, R2 = 0.19, AICc = 34.8, DAICc = 6.4.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / 0.306 / 0.297 / 1.030 / 0.330
White-tailed deer / -0.430 / 0.300 / -1.433 / 0.186


Table A2.3. Model 3 Results for White-tailed deer pca: F3,5 = 32.71, p = 0.001, R2 = 0.95, AICc = 33.0, DAICc = 5.6.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / 0.546 / 0.246 / 2.219 / 0.057
Cougar / -1.230 / 0.460 / -2.674 / 0.028
White-tailed deer / 0.242 / 0.342 / 0.708 / 0.499


Table A2.4. Model 4 Results for White-tailed deer pca: F3,5 = 4.91, p = 0.041, R2 = 0.55, AICc = 33.4, DAICc = 5.0.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / 0.073 / 1.290 / 0.057 / 0.956
Cougar / -1.026 / 0.332 / -3.092 / 0.015
NDVI / 0.780 / 2.049 / 0.381 / 0.713

Table A2.5. Model 5 Results for White-tailed deer pca: F2,8 = 1.01, p = 0.406, R2 = 0.20, AICc = 39.8, DAICc = 11.4.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / 0.983 / 1.707 / 0.058 / 0.581
White-tailed deer / -1.026 / 0.332 / -3.092 / 0.015
NDVI / 0.780 / 2.049 / 0.381 / 0.713

Table A2.6. Model 5 Results for White-tailed deer pca: F1,9 = 0.13, p = 0.724, R2 = 0.01, AICc = 36.9, DAICc = 8.5.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / 0.729 / 1.777 / 0.410 / 0.691
NDVI / -1.002 / 2.746 / -0.365 / 0.724


Tables A3: Comparison of candidate models to describe per-capita changes in abundance (pca) for Coati.

Table A3.1 Model 1 Results for Coati pca: F1,9 = 0.43, p = 0.53, R2 = 0.05, AICc = 26.2, DAICc = 2.4.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / 0.206 / 0.215 / 0.958 / 0.363
Cougar / -0.179 / 0.273 / -0.655 / 0.529


Table A3.2 Model 2 Results for Coati pca: F1,9 = 2.72, p = 0.13, R2 = 0.23, AICc = 23.8, DAICc = 0.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / 0.554 / 0.304 / 1.819 / 0.102
Coati / -0.421 / 0.256 / -1.648 / 0.134


Table A3.3 Model 3 Results for Coati pca: F2,8 = 1.21, p = 0.35, R2 = 0.23, AICc = 29.0, DAICc = 5.2.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / 0.553 / 0.323 / 1.715 / 0.125
Cougar / -0.004 / 0.291 / 0.015 / 0.988
Coati / -0.423 / 0.304 / -1.393 / 0.201


Table A3.4 Model 4 Results for Coati pca: F2,8 = 1.01, p = 0.41, R2 = 0.20, AICc = 29.4, DAICc = 5.6.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / 1.524 / 1.073 / 1.421 / 0.193
Cougar / -0.082 / 0.276 / -0.295 / 0.775
NDVI / -2.133 / 1.704 / -1.253 / 0.246

Table A3.5 Model 5 Results for Coati pca: F2,8 = 2.27, p = 0.17, R2 = 0.36, AICc = 27.0, DAICc = 3.2.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / 1.709 / 0.950 / 1.798 / 0.110
Coati / -0.365 / 0.251 / -1.455 / 0.184
NDVI / -1.898 / 1.485 / -1.279 / 0.237

Table A3.6 Model 6 Results for Coati pca: F1,9 = 2.16, p = 0.176, R2 = 0.19, AICc = 24.3, DAICc = 0.5.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / 1.576 / 1.003 / 1.571 / 0.151
NDVI / -2.275 / 1.550 / -1.468 / 0.176


Tables A4 Comparison of candidate models to describe per-capita changes in abundance (pca) for Armadillo.

Table A4.1 Model 1 Results for Armadillo pca: F1,7 = 12.08, p = 0.01, R2 = 0.63, AICc = 8.7, DAICc = 0.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / 0.203 / 0.097 / 2.092 / 0.075
Cougar / -0.437 / 0.126 / -3.476 / 0.010


Table A4.2 Model 2 Results for Armadillo pca: F1,9 = 9.46, p = 0.02, R2 = 0.57, AICc = 10.0, DAICc = 1.3.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / -1.347 / 0.453 / -2.975 / 0.021
Armadillo / -1.078 / 0.351 / -3.075 / 0.018


Table A4.3 Model 3 Results for Armadillo pca: F2,6 = 8.19, p = 0.02, R2 = 0.73, AICc = 13.1, DAICc = 4.4.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / -0.609 / 0.553 / -1.101 / 0.313
Cougar / -0.288 / 0.153 / -1.877 / 0.110
Armadillo / -0.591 / 0.397 / -1.488 / 0.187


Table A4.4 Model 4 Results for Armadillo pca: F2,6 = 5.18, p = 0.49, R2 = 0.63, AICc = 15.9, DAICc = 7.2.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / 0.206 / 0.642 / 0.321 / 0.759
Cougar / -0.437 / 0.161 / -2.704 / 0.035
NDVI / -0.006 / 1.051 / -0.005 / 0.996

Table A4.5 Model 5 Results for Armadillo pca: F2,6 = 4.42, p = 0.06, R2 = 0.60, AICc = 16.8, DAICc = 8.1.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / -0.878 / 0.971 / -0.905 / 0.401
Armadillo / -0.990 / 0.402 / -2.464 / 0.049
NDVI / -0.560 / 1.011 / -0.554 / 0.599

Table A4.6 Model 6 Results for Armadillo pca: F1,7 = 1.6, p = 0.25, R2 = 0.19, AICc = 15.8, DAICc = 7.1.

Parameter / Estimate / Std. Error / t value / Pr(>|t|) /
Intercept / 1.003 / 0.787 / 1.274 / 0.243
NDVI / -1. 542 / 1.219 / -1.265 / 0.246

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