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Note on the Effect of Non‐regular Spatial Patterns of Plants on Yield per Area Based on a Logarithmic Relationship between Single Plant Yield and Individual Area
Author(s) -
Hühn M.
Publication year - 2000
Publication title -
journal of agronomy and crop science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.095
H-Index - 74
eISSN - 1439-037X
pISSN - 0931-2250
DOI - 10.1046/j.1439-037x.2000.00374.x
Subject(s) - mathematics , logarithm , yield (engineering) , statistics , kurtosis , skewness , variance (accounting) , agronomy , biology , mathematical analysis , materials science , business , accounting , metallurgy
Based on several simplifying assumptions, a previously developed stochastic approach allows an estimation of the effects of non‐regular spatial patterns of the distribution of individual plants on yield per area (F). In this approach, two random variables were attached to each plant: single plant yield (E) and individual space per plant (A). The latter was estimated by the area of Thiessen‐polygons. Yield per area was calculated theoretically by the expectation of the ratio E/A. Based on a logarithmic relationship between E and A the expectation of E/A can be expressed by an approximation which depends on the mean and on the variance of the individual plant spaces. An improvement of this approximation can be easily obtained by including skewness and kurtosis of the distribution of individual plant areas. Finally, all theoretical concepts and results were applied to an experimental data set of winter oilseed rape ( Brassica napus L.).