model | np | AIC | minRSA |
R
2
| observed Moran's I |
---|
TSA | 6 | 115 121 | 26.5 | 0.85 | 0.3894 |
m0 | 8 | 107 730 | 5.9 | 0.92 | 0.0285 |
m1 | 7 | 107 740 | 5.9 | 0.92 | 0.0298 |
m2 | 7 | 107 750 | 6.0 | 0.92 | 0.0319 |
m3 | 7 | 107 750 | 6.0 | 0.92 | 0.0309 |
m4 | 7 | 107 740 | 5.9 | 0.92 | 0.0299 |
m5 | 7 | 107 730 | 5.9 | 0.96 | 0.0282 |
m6 | 5 | 107 780 | 6.0 | 0.92 | 0.0345 |
- Model selection was based on Akaike Information Criterion (AIC) and minimum residual spatial autocorrelation (minRSA). A measure of model fit and spatial autocorrelation in the model residuals are given as R2; and observed Moran's I, respectively. np is the number of parameters. m0 to m6 are the trend SARerr models, TSA model values are given for comparison. The selected trend SARerr model is m5.
- TSA: t = β0 + β1X + β2Y + β3X2 + β4XY + β5Y2 + ε
- m0: t = β0 + β1X + β2Y + β3X2 + β4XY + β5Y2 + λWμ + ε
- m1: t = β0 + β1X + β2Y + β3X2 + β4XY + λWμ + ε
- m2: t = β0 + β1X + β2Y + β4XY + β5Y2 + λWμ + ε
- m3: t = β0 + β1X + β2Y + β3X2 + β5Y2 + λWμ + ε
- m4: t = β0 + β1X + β3X2 + β4XY + β5Y2 + λWμ + ε
- m5: t = β0 + β2Y + β3X2 + β4XY + β5Y2 + λWμ + ε
- m6: t = β0 + β1X + β2Y + λWμ + ε.