Skip to main content
. 2015 Nov 2;112(46):14390–14395. doi: 10.1073/pnas.1509777112

Table S1.

Type III sums of squares for rain-fed soybean or maize yield using AOT40

Model parameter Degrees of freedom Sums of squares F value Bootstrapped P value
Soybean
 Intercept 1 42,986,422 381.1 0.002
 Year 1 109,500,327 970.7 0.002
 County 253 51,497,998 1.8 0.002
Tmax 1 6,499,272 57.6 0.002
P/PET 1 231,458 2.1 0.162
Tmax2 1 6,299,699 55.8 0.002
P/PET2 1 1,177,780 10.4 0.01
 AOT40 1 2,143,325 19.0 0.002
 Year*county 253 52,214,982 1.8 0.002
Tmax*P/PET 1 23,408 0.2 0.65
Tmax*P/PET2 1 638,221 5.7 0.022
P/PET*Tmax2 1 4,135 0.0 0.83
P/PET*AOT40 1 3,220,478 28.6 0.002
Tmax*AOT40 1 2,635,755 23.4 0.002
P/PET2*AOT40 1 2,009,716 17.8 0.002
Tmax2*AOT40 1 2,725,040 24.2 0.002
 Residuals 6,210 700,493,337
Maize
 Intercept 1 607,930,191 640.3 0.002
 Year 1 1,945,329,640 2,048.9 0.002
 County 283 872,112,839 3.2 0.002
Tmax 1 63,759,208 67.2 0.002
P/PET 1 14,092 0.01 0.904
Tmax2 1 71,493,397 75.3 0.002
P/PET2 1 10,747,972 11.3 0.002
 AOT40 1 52,350,097 55.1 0.002
 Year*county 283 883,549,646 3.3 0.002
Tmax*P/PET 1 781,632 0.8 0.384
Tmax*P/PET2 1 3,969,534 4.2 0.046
P/PET*Tmax2 1 1,589,393 1.7 0.218
P/PET*AOT40 1 3,172,799 3.3 0.064
Tmax*AOT40 1 59,760,344 62.9 0.002
P/PET2*AOT40 1 1,285,533 1.4 0.19
Tmax2*AOT40 1 61,096,841 64.3 0.002
 Residuals 6,932 6,581,707,260

Bootstrapped P values were determined by comparing the F value in the table to a null F distribution that was generated by a double bootstrap procedure that accounted for spatial correlation. Thus, the P value in the table is different from that of a standard F test.