A model is developed to estimate crop yield response to weather and time trend. Weather is defined as those meteorological variables directly affecting crop yields, and direct measures of meteorological variables are included in the model. The weather response function is used to determine an index which indicates the effects of weather on crop yields in each year. The index does not depend directly upon the method of trend estimation and all data are readily available from secondary sources. Estimates are obtained through use of a nonlinear regression routine. The model is applied to corn yields and rainfall measurements for the state of Missouri, 1930–1963.
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John P. Doll (1967) studied this question.