Toward a Normative Theory of Crop Yield Skewness
AbstractWhile the preponderance of empirical studies point to negative crop yield skewness in a wide variety of contexts, the literature provides few clear insights on why this is so. The purpose of this paper is to make three points on the matter. We show formally that statistical laws on aggregates do not suggest a normal yield distribution. We explain that whenever the weather-conditioned mean yield has diminishing marginal product, then there is a disposition toward negative skewness in aggregate yields. This is because a high marginal product in bad weather states stretches out the left tail of the yield distribution relative to that of the weather distribution. Turning to disaggregated yields, we decompose unconditional skewness into weather-conditioned skewness plus two other terms and study each in turn.
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Bibliographic InfoPaper provided by Center for Agricultural and Rural Development (CARD) at Iowa State University in its series Center for Agricultural and Rural Development (CARD) Publications with number 08-wp473.
Date of creation: Jun 2008
Date of revision:
conditional distribution; crop insurance; negative skewness; spatial heterogeneity; statistical laws.;
This paper has been announced in the following NEP Reports:
- NEP-AGR-2008-07-05 (Agricultural Economics)
- NEP-ALL-2008-07-05 (All new papers)
- NEP-IAS-2008-07-05 (Insurance Economics)
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