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Application of a two‐variable Mitscherlich Function in the analysis of yield‐water‐fertilizer relationships for corn
Author(s) -
Hexem Roger W.,
Sposito V. A.,
Heady Earl O.
Publication year - 1976
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr012i001p00006
Subject(s) - yield (engineering) , fertilizer , variable (mathematics) , exponential function , polynomial , mathematics , statistics , variables , function (biology) , work (physics) , agricultural engineering , econometrics , agronomy , mathematical analysis , engineering , materials science , mechanical engineering , evolutionary biology , metallurgy , biology
Variations of models developed by E. A. Mitscherlich in the early part of this century are periodically used for estimating input‐output relationships for plants. Mitscherlich's work focused on a single variable. While these exponential models incorporate features of theoretical appeal, the procedures for quantifying the models are relatively complex when two or more independent variables are included. In fits of Mitscherlich and polynomial forms to yield‐water‐fertilizer data for corn grown under experimental conditions in Colorado and Kansas, test statistics for the polynomial forms are as good as or better than those for the more complex Mitscherlich models.