**DESCRIPTION OF COURSES**

**AS 566 STATISTICAL GENETICS (3L+1P)**

**Objective**

This course is meant to prepare the students in applications of statistics in quantitative genetics and breeding. The students would be exposed to the physical basis of inheritance, detection and estimation of linkage, estimation of genetic parameters and development of selection indices.

**Theory**

UNIT I

Physical basis of inheritance. Analysis of segregation, detection and estimation of linkage for qualitative characters. Amount of information about linkage, Combined estimation, Disturbed segregation.

UNIT II

Gene and genotypic frequencies, Random mating and Hardy-Weinberg law, Application and extension of the equilibrium law, Fisher’s fundamental theorem ofnatural selection. Disequilibrium due to linkage for two pairs of genes, sex-linked genes.

UNIT III

Forces affecting gene frequency: selection, mutation and migration, equilibrium between forces in large populations, polymorphism.

UNIT IV

Polygenic system for quantitative characters, concepts of breeding value and dominance deviation. Genetic variance and its partitioning.

UNIT V

Correlation between relatives, Heritability, repeatability and genetic correlation. Response due to selection, Selection index and its applications in plants and animals improvement programmes, Correlated response to selection. Restricted selection index, Inbreeding and cross-breeding, Changes in mean and variance.

**Practicals**

Test for single factor segregation ratios, homogeneity of the families with regard to single factor segregation. Detection and estimation of linkage parameter by different procedures. Estimation of genotypic and gene frequency from a given data. Hardy-Weinberg law, Estimation of changes in gene frequency due to systematic forces, inbreeding coefficient, genetic components of variation, heritability and repeatability coefficient, genetic correlation coefficient. Examination of effect of linkage, epistasis and inbreeding on mean and variance of metric traits. Construction of selection index including phenotypic index, restricted selection index. Correlated response to selection. Combined estimation, Disturbed segregation.

**Suggested Readings**

- Bailey, N.T.J. 1961.
*The Mathematical Theory of Genetic Linkage*. Clarendon Press, Oxford. - Balding, D.J., Bishop, M. and Cannings, C. 2001.
*Handbook of Statistical Genetics*. John Wiley. - Crow, J.F. and Kimura, M. 1970.
*An Introduction to Population Genetics Theory*. Harper and Row. - Dahlberg, G. 1948.
*Mathematical Methods for Population Genetics*. Inter Science Publications. - East, E.M. and Jones, D.F. 1919.
*Inbreeding and Outbreeding*. J B Lippincott Co. - Ewens, W.J. 1979.
*Mathematics of Population Genetics*. Springer. - Falconer, D.S. and Trudy F.C Mackay. 1985.
*Introduction to Quantitative Genetics*. English Language Book, Longman, Essex. - Fisher, R.A. 1949.
*The Theory of Inbreeding*. Oliver and Boyd. - Fisher, R.A. 1950.
*Statistical Methods for Research Workers*. Oliver and Boyd. - Fisher, R.A. 1958.
*The Genetical Theory of Natural Selection*. Dover Publication. - Jain, J.P. 1982.
*Statistical Techniques in Quantitative Genetics*. Tata McGraw. - Kempthorne, O. 1957.
*An Introduction to Genetic Statistics*. The Iowa State University Press. - Lerner, I.M. 1950.
*Population Genetics and Animal Improvement*. Cambridge University Press. - Lerner, I.M. 1954.
*Genetic Homeostasis*. Oliver and Boyd. - Lerner, I.M. 1958.
*The Genetic Theory of Selection*. John Wiley. - Li, C.C. 1982.
*Population Genetics*. The University of Chicago Press. - Mather, K. 1949.
*Biometrical Genetics*. Methuen. - Mather, K. 1951.
*The Measurement of Linkage in Heredity*. Methuen. - Mather, K. and Jinks, J.L. 1977.
*Introduction to Biometrical Genetics*. Chapman and Hall. - Narain, P. 1990.
*Statistical Genetics*. Wiley Eastern Ltd.