000			02587nam a2200217 4500
008			160616s 000 0
041			_aeng
080			_a51:574 _bKOJ
100			_aKojima, Ken-ichi (ed)
245			_aMathematical topics in population genetics.
260			_aNewyork _bSpringer Verlag _c1970
300			_avi,440 p
440			_aPopulation genetics Mathematical models
490			_aBiomathematics _v1
500			_aBibliographic Level Mode of Issuance: Monograph
505			_aRandom Drift and the Shifting Balance Theory of Evolution Changes in Mean Fitness under Natural Selection Models and Analyses of Dispersal Patterns Avoidance and Rate of Inbreeding Genetic Loads and the Cost of Natural Selection Stochastic Processes in Population Genetics, with Special Reference to Distribution of Gene Frequencies and Probability of Gene Fixation Theory of Limits to Selection with Line Crossing A Theory of Limits in Artificial Selection with Many Linked Loci The Evolution of Dominance Survival of Mutant Genes as a Branching Process The Incomplete Binomial Distribution Evolutionary Significance of Linkage and Epistasis Fitness and Optimization
520			_aA basic method of analyzing particulate gene systems is the proba­ bilistic and statistical analyses. Mendel himself could not escape from an application of elementary probability analysis although he might have been unaware of this fact. Even Galtonian geneticists in the late 1800's and the early 1900's pursued problems of heredity by means of mathe­ matics and mathematical statistics. They failed to find the principles of heredity, but succeeded to establish an interdisciplinary area between mathematics and biology, which we call now Biometrics, Biometry, or Applied Statistics. A monumental work in the field of popUlation genetics was published by the late R. A. Fisher, who analyzed "the correlation among relatives" based on Mendelian gene theory (1918). This theoretical analysis over­ came "so-called blending inheritance" theory, and the orientation of Galtonian explanations for correlations among relatives for quantitative traits rapidly changed. We must not forget the experimental works of Johanson (1909) and Nilsson-Ehle (1909) which supported Mendelian gene theory. However, a large scale experiment for a test of segregation and linkage of Mendelian genes affecting quantitative traits was, prob­ ably for the first time, conducted by K. Mather and his associates and Panse in the 1940's
650			_aPopulation genetics
690			_aMathematics
942			_cBK
999			_c2451 _d2451