Crop Science Journal of Natural Resources and Life Sciences Education
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Published in Crop Sci 8:61-66 (1968)
© 1968 Crop Science Society of America
677 S. Segoe Rd., Madison, WI 53711 USA
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Inter-Genotypic Competition in Plant Populations I. Feedback Systems with Stable Equilibria in Populations of Autogamous Homozygous Lines1

W. M. Schutz, C. A. Brim and C. A. Brim2

A linear model was developed to describe the competitive effects that may be encountered in populations of soybeans and other autogamous plant species. The model was used to investigate the properties of feedback systems that might develop in populations of autogamous homozygous lines as a result of certain inter-genotypic interactions. Examples were cited which indicated that competitive feedback mechanisms may be a powerful force in the eventual establishment of stable equilibria in evolving populations. Such populations would have reproductive capabilities greater than the mean of the component genotypes in pure stand. An essential ingredient of the feedback mechanism is the occurrence of overcompensation which results when a genotype's reproductive ability is enhanced in competition with another genotype while depressing the reproductive value of its competitor by a lesser amount. Undercompensation does not lead to a stable equilibrium and appears to be a relatively rare occurrence in nature. Implications of competitive effects and feedback systems in bulk-population breeding are discussed.

Key Words: soybeans • bulk populations • population dynamics

1 Joint contribution from the Crops Research Division, Agricultural Research Service, U. S. Department of Agriculture, and the North Carolina Experiment Station. Published with the approval of the Director of Research as Paper No. 2040 of the Journal Series. Publication No. 471 of the U. S. Regional Soybean Laboratory

2 Research Geneticist, Research Agronomist, and Geneticist, respectively, Crops Research Division, ARS,USDA, Raleigh, N. C. 27607. The research was supported in part by Public Health Service Grant GM 11546. The computing was supported in part by NIH Grant FR-00011.

Received for publication May 2, 1967.




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