Fundamentals of Mathematical Evolutionary Genetics

Front Cover
Springer Science & Business Media, Dec 6, 2012 - Mathematics - 396 pages
One service mathematics has rendered the ~Et moi ..., si j'avait su comment en revenir, human race. It has put common sense back je riy serais point aile.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. o'; 'One service logic has rendered com puter science .. o'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
 

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Contents

Basic Equations of Population Genetics
16
Simplest Population Models
54
Parameters or Genotype Fitnesses?
68
Multiple Alleles
84
SexLimited and SexLinked Characters Models Taking Account
114
Populations With Deviations from Panmixia
134
Systems of Linked Populations Migration
152
Population Dynamics in Changing Environment
177
MultiLocus Models
191
Diffusion Models of Population Genetics
239
Random Genetic Drift in the Narrow Sense
269
Properties of SingleLocus Models under Several Microevolutionary
302
Diallelic Locus
313
Random Genetic Drift in Subdivided Populations
343
Conclusion
382
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