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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

Note on the Effect of Non‐regular Spatial Patterns of Plants on Yield per Area Based on a... 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.). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Agronomy and Crop Science Wiley

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

Hühn, M.
Journal of Agronomy and Crop Science , Volume 184 (2) – Apr 1, 2000
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References (2)

Publisher
Wiley
Copyright
Copyright © 2000 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0931-2250
eISSN
1439-037X
DOI
10.1046/j.1439-037x.2000.00374.x
Publisher site
See Article on Publisher Site

Abstract

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.).

Journal

Journal of Agronomy and Crop Science – Wiley

Published: Apr 1, 2000

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