Table 1 Comparison of multiple regression between yield and heat days using two different methods.

From: Contrasting impacts of dry versus humid heat on US corn and soybean yields

Multiple regression coefficients between yield and heat days

Dry heat days coefficients (beta1)

Humid heat days coefficients (beta2)

Multiple regressions (area average)

Corn yield

− 1.80 Bu/Acre/day

− 0.20 Bu/Acre/day

Soybean Yield

− 0.43 Bu/Acre/Day

0.01 Bu/Acre/day

Fixed effects linear model

Corn Yield

− 1.58 Bu/Acre/day

− 0.01 Bu/Acre/day

Soybean yield

− 0.52 Bu/Acre/day

0.001 Bu/Acre/day

  1. The first uses the area-averaged multiple regression across all non-irrigated stations using detrended yield data at each county and dry and humid heat days for all stations within that county (Fig. 3) and the second uses the space–time fixed effects linear model applied to non-detrended data for all non-irrigated stations (Eq. 3).
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