Hostname: page-component-848d4c4894-pftt2 Total loading time: 0 Render date: 2024-05-26T02:32:34.664Z Has data issue: false hasContentIssue false

The analysis of yield-density relationships in binary mixtures using inverse polynomials

Published online by Cambridge University Press:  27 March 2009

A. J. Wright
Affiliation:
Plant Breeding Institute, Cambridge

Summary

The reciprocal relationship commonly used in the analysis of plant yield-density relationships in monoculture is extended to allow a similar treatment of binary mixtures, using the model:

w–1a = Aa × Baapa × Babpb

where wa is the plant weight of component a in mixture with component b, and pa and pb are the plant densities of a and b respectively. The model gives a good fit to fresh weights taken from a glasshouse experiment involving monocultures and mixtures of red clover (T. pratense L.) and Italian ryegrass (L. multiflorum L.) in different proportions, all grown at a range of plant densities. The interpretive and predictive uses of the model are discussed.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1981

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Andrews, D. J. (1972). Intercropping with sorghum in Nigeria. Experimental Agriculture 8, 139150.Google Scholar
Baker, R. J. & Nelder, J. A. (1978). The glim System. Oxford: Numerical Algorithms Group.Google Scholar
Bleasdale, J. K. A. & Nelder, J. A. (1960). Plant population and crop yield. Nature 188, 342.CrossRefGoogle Scholar
De Wit, C. T. (1960). On competition. Verslagen van Landboutvkundige Onderzoekingen 66, 8.Google Scholar
Donald, C. M. (1963). Competition among orop and pastu'e plants. Advances in Agronomy 15, 1118.CrossRefGoogle Scholar
Harper, J. L. (1977). Population Biology of Plants. London and New York: Academic Press.Google Scholar
Holliday, R. (1960). Plant population and crop yield. Nature 186, 2224.Google Scholar
Mead, R. (1970). Plant density and crop yield. Applied Statistics 19, 6481.Google Scholar
Willey, R. W. & Heath, S. B. (1969). The quantitative relationships between plant population and crop yield. Advances in Agronomy 21, 281321.Google Scholar