Mathematical Topics in Population Genetics

Buch | Softcover

X, 400 Seiten

2012 | 1. Softcover reprint of the original 1st ed. 1970
Springer Berlin (Verlag)
978-3-642-46246-7 (ISBN)

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A 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.

Random 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.

Erscheint lt. Verlag	21.3.2012
Reihe/Serie	Biomathematics
Zusatzinfo	X, 400 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	627 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Biologie ► Evolution
	Naturwissenschaften ► Biologie ► Genetik / Molekularbiologie
Schlagworte	Evolution • genes • Genetics • Mathematica • Mathematical Statistics • Mathematics • Mutant • Optimization • Population
ISBN-10	3-642-46246-4 / 3642462464
ISBN-13	978-3-642-46246-7 / 9783642462467
Zustand	Neuware