From: Population response to climate change: linear vs. non-linear modeling approaches
 | Full Model | θ | Coefficients | SE | p | n | AIC | R 2 | Equilibrium |
---|---|---|---|---|---|---|---|---|---|
 | X t = a1,0 + a1,1Xt-1+ a1,2PAt-1+ a1,3T t + a1,4SW t | Xt-1< 3.40 | a1,0 = 1.89 | 0.43 | 0.0002 | 32 | 14.18 | 0.58 | X* = 2.40 |
Non-Linear Model | Â | Â | a1,1 = 0.50 | 0.14 | 0.001 | Â | Â | Â | Stable |
 |  |  | a1,2 = -0.06 | 0.04 | 0.17 |  |  |  |  |
 |  |  | a1,3 = -0.47 | 0.16 | 0.009 |  |  |  |  |
 |  |  | a1,4 = -.0008 | 0.0005 | 0.15 |  |  |  |  |
 | X t = a2,0 + a2,1Xt-1+ a2,2PSt-1+ a2,3PAt-1+ a2,4SW t | Xt-1≥ 3.40 | a2,0 = -5.82 | 1.43 | 0.03 | 8 |  | 0.96 | X* = 3.58 |
 |  |  | a2,1 = 2.63 | 0.46 | 0.01 |  |  |  | Unstable |
 |  |  | a2,2 = 0.06 | 0.03 | 0.11 |  |  |  |  |
 |  |  | a2,3 = -0.24 | 0.05 | 0.02 |  |  |  |  |
 |  |  | a2,4 = 0.002 | 0.0009 | 0.12 |  |  |  |  |
Linear Model | X t = a0+ a1Xt-1+ a2PAt-1+ a3T t | Â | a0 = 0.86 | 0.33 | 0.01 | 40 | 27.98 | 0.69 | X* = 2.97 |
 |  |  | a1 = 0.81 | 0.12 | 0.00 |  |  |  | Stable |
 |  |  | a2 = -0.07 | 0.03 | 0.06 |  |  |  |  |
 |  |  | a3 = -0.39 | 0.18 | 0.04 |  |  |  |  |