Table 3
Pearson correlation, multiple regression, and random forest results for relating residual regional fish species richness to regional environmental data composited at the fine-grain ecoregion extent. Variables sorted in order of decreasing correlation strength.
| Variable | Pearson correlation coefficient | Multiple regression coefficient | Random forest % increase in MSE | Random forest node purity |
|---|---|---|---|---|
| Road Density (km/km2)# | 0.611*** | – | – | |
| Mean Elevation (m)# | –0.593*** | 11.7 | 8313 | |
| % Grass + Shrub Land Cover | –0.588*** | –1.00*** | – | – |
| Population Density (#/km2)# | 0.577*** | – | – | |
| Mean Air Temperature (°C) | 0.571*** | 5.03*** | 9.35 | 5949 |
| Mean Precipitation (mm)# | 0.549*** | –51.5* | 12.3 | 7620 |
| % Developed Land Cover | 0.403** | 19.5 | 15690 | |
| % Agricultural Land Cover | 0.324* | 15.0 | 8666 | |
| % Bare Land Cover | –0.305* | 6.40 | 4535 | |
| % Wetland Land Cover | 0.211 | 1.76 | 2367 | |
| Mine Density (#/km2)# | –0.190 | 4.49 | 3450 | |
| % Forested Land Cover | 0.188 | 7.06 | 3577 | |
| Surface Area (km2)# | –0.138 | 4.35 | 7171 | |
| % Open Water Land Cover | 0.117 | –4.22* | – | – |
| % Historical Glaciation | –0.037 | 6.42 | 1159 | |
| Multiple Regression Intercept | 130.6 | |||
| R2 | 0.631 | 0.546 | ||
| Root Mean Square Error | 21.8 | 23.2 | ||
| Sample Size | 61 | 61 | 61 | 61 |
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