In contrast with previous index model land applications, this article
shows that the land allocation problem is a portfolio model with two c
onstraints, namely, investable funds and land The two-constraint model
implies a drastic reinterpretation of what previous studies have quan
tified as divelsifiable and systematic risks in agricultural productio
n. The article also argues that the constant marginal-rate-of-product-
substitution (MRPS) technology implicit in financial portfolio models
is unlikely to hold in a production context such as the land allocatio
n problem, and that the index model must be modified accordingly. Farm
-level data are used to illustrate and test the hypotheses advanced. E
mpirical results indicate that most of the risk for corn and soybeans
is diversifiable, and that corn and soybeans are characterized by decr
easing MRPS. The MRPS effect is found to be large from an economic sta
ndpoint and implies that crop diversification may be optimal, even for
risk-neutral farmers.