Abstract

This paper provides estimates of the correlation between genotypic relatives and the effect of allelic recombination on the correlation assuming random mating. It is shown that the correlation is a non negative quantity and that allelic recombination has the effect of reducing total variation and doubling the correlation between genotypic relatives with respect to measurements on the character of interest. The significance of the correlation coefficient as well as the fitted regression model was obtained using Analysis of Variance method.   Key words: Allele, genotype, regression, correlation, F-ratio, analysis of variance.

Highlights

  • INTRODUCTIONGenetic recombination is an effective means of combining one individual trait of two parents, permitting the comparison of one expression of a character with another expression of the same traits (Burns, 1976, Alberts, 1994, Maloy S, 1994)

  • Genetic recombination is an effective means of combining one individual trait of two parents, permitting the comparison of one expression of a character with another expression of the same traits (Burns, 1976, Alberts, 1994, Maloy S, 1994). much work has been done on the correlation between relatives for various physical characteristics starting with the pioneering work by Fisher (1918), very little has been written on the effect of genetic recombination on these correlations (Ewens, 1979, Oyeka and Oyeka, 1988)

  • It is shown that the correlation is a non negative quantity and that allelic recombination has the effect of reducing total variation and doubling the correlation between genotypic relatives with respect to measurements on the character of interest

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Summary

INTRODUCTION

Genetic recombination is an effective means of combining one individual trait of two parents, permitting the comparison of one expression of a character with another expression of the same traits (Burns, 1976, Alberts, 1994, Maloy S, 1994). Much work has been done on the correlation between relatives for various physical characteristics starting with the pioneering work by Fisher (1918), very little has been written on the effect of genetic recombination on these correlations (Ewens, 1979, Oyeka and Oyeka, 1988). These writers failed to provide a statistic for testing the significance of the estimated correlation coefficient. The work by (Oyeka and Oyeka 1988) is modified to include a test statistic for the estimated correlation coefficient and to know if the hypothesised model fits

CORRELATION BETWEEN RELATIVES
We first derive an estimate of the correlation between the
Aa aa
EFFECT OF ALLELIC RECOMBINATION
Differentiating with respect to μ and minimizing we have
Mean square
CONCLUSION
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