Abstract
A two-locus model is used to analyze the effectiveness of a mixture of insecticides in delaying resistance, compared to the use of the insecticides singly. The effects of factors such as recombination, effective dominance, initial value of allele frequencies and initial value of linkage disequilibrium are considered. It is shown that the use of mixtures is always more effective in delaying the onset of resistance, often by many orders of magnitude. It is shown that there exists a threshold value of recombination fraction, above which the evolution of resistance is extremely slow. Resistance evolves very rapidly for values of recombination fraction below the threshold. Finally, the relevance of these results on resistance management is discussed.
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Selected References
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- Bodmer W. F., Felsenstein J. Linkage and selection: theoretical analysis of the deterministic two locus random mating model. Genetics. 1967 Oct;57(2):237–265. doi: 10.1093/genetics/57.2.237. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Georghiou G. P., Taylor C. E. Genetic and biological influences in the evolution of insecticide resistance. J Econ Entomol. 1977 Jun 15;70(3):319–323. doi: 10.1093/jee/70.3.319. [DOI] [PubMed] [Google Scholar]
- Karlin S., Feldman M. W. Simultaneous Stability of D=0 and D not equal0 for Multiplicative Viabilities at Two Loci. Genetics. 1978 Dec;90(4):813–825. doi: 10.1093/genetics/90.4.813. [DOI] [PMC free article] [PubMed] [Google Scholar]