Table 2

Pearson correlation, multiple regression, and random forest results for relating residual regional macroinvertebrate genera 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
% Forested Land Cover 0.584*** 0.352** 16.9 12490
% Agricultural Land Cover –0.387*** –0.630*** 17.6 9991
Mine Density (#/km2)# 0.312**   6.01 6594
Mean Annual Air Temperature (°C) –0.299** –2.80*** 13.6 6949
Surface Area (km2)# –0.244*   1.40 4946
Mean Precipitation (mm)# 0.243*   8.52 5580
% Grass + Shrub Land Cover –0.217  
% Historical Glaciation 0.208   7.25 2698
Mean Elevation (m)# 0.102   6.90 4431
% Bare Land Cover 0.089   6.27 5003
% Developed Land Cover 0.076   7.98 3621
Road Density (km/km2)# 0.044 43.9***
Population Density (#/km2)# 0.019  
% Open Water Land Cover –0.019  
% Wetland Land Cover 0.018   1.25 4052
         
Multiple Regression Intercept   73.9    
R2   0.512 0.347  
Root Mean Square Error   22.4 25.1  
Sample Size 74 74 74 74
#

Variable was log10 transformed for multiple regression and Pearson correlation.

– redundant variable not included in random forest.

Significance of the correlation, or that the regression coefficient is unequal to zero; *p < 0.05, **p < 0.01, ***p < 0.001.

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