Introduction To Theoretical Population Genetics
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Introduction To Theoretical Population Genetics
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Author : Thomas Nagylaki
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-12
Introduction To Theoretical Population Genetics written by Thomas Nagylaki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-12 with Science categories.
This book covers those areas of theoretical population genetics that can be investigated rigorously by elementary mathematical methods. I have tried to formulate the various models fairly generally and to state the biological as sumptions quite explicitly. I hope the choice and treatment of topics will en able the reader to understand and evaluate detailed analyses of many specific models and applications in the literature. Models in population genetics are highly idealized, often even over idealized, and their connection with observation is frequently remote. Further more, it is not practicable to measure the parameters and variables in these models with high accuracy. These regrettable circumstances amply justify the use of appropriate, lucid, and rigorous approximations in the analysis of our models, and such approximations are often illuminating even when exact solu tions are available. However, our empirical and theoretical limitations justify neither opaque, incomplete formulations nor unconvincing, inadequate analy ses, for these may produce uninterpretable, misleading, or erroneous results. Intuition is a principal source of ideas for the construction and investigation of models, but it can replace neither clear formulation nor careful analysis. Fisher (1930; 1958, pp. x, 23-24, 38) not only espoused similar ideas, but he recognized also that our concepts of intuition and rigor must evolve in time. The book is neither a review of the literature nor a compendium of results. The material is almost entirely self-contained. The first eight chapters are a thoroughly revised and greatly extended version of my published lecture notes (Nagylaki, 1977a).
Theoretical Population Genetics
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Author : J.S. Gale
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Theoretical Population Genetics written by J.S. Gale and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The rise of the neutral theory of molecular evolution seems to have aroused a renewed interest in mathematical population genetics among biologists, who are primarily experimenters rather than theoreticians. This has encouraged me to set out the mathematics of the evolutionary process in a manner that, I hope, will be comprehensible to those with only a basic knowledge of calculus and matrix algebra. I must acknowledge from the start my great debt to my students. Equipped initially with rather limited mathematics, they have pursued the subject with much enthusiasm and success. This has enabled me to try a number of different approaches over the years. I was particularly grateful to Dr L. J. Eaves and Professor W. E. Nance for the opportunity to give a one-semester course at the Medical College of Virginia, and I would like to thank them, their colleagues and their students for the many kindnesses shown to me during my visit. I have concentrated almost entirely on stochastic topics, since these cause the greatest problems for non-mathematicians. The latter are particularly concerned with the range of validity of formulae. A sense of confidence in applying these formulae is, almost certainly, best gained by following their derivation. I have set out proofs in fair detail, since, in my experience, minor points of algebraic manipulation occasionally cause problems. To avoid loss of continuity, I have sometimes put material in notes at the end of chapters.
An Introduction To Population Genetics Theory
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Author : J.F. Crow
language : en
Publisher: Scientific Publishers
Release Date : 2017-01-01
An Introduction To Population Genetics Theory written by J.F. Crow and has been published by Scientific Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-01 with Technology & Engineering categories.
This text book, originally published in 1970, presents the field of population genetics, starting with elementary concepts and leading the reader well into the field. It is concerned mainly with population genetics in a strict sense and deals primarily with natural populations and less fully with the rather similar problems that arise in breading live stock and cul t i vat ed plans . The emphasis is on the behavior of genes and population attributes under natural selection where the most important measure is Darwinian fitness. This text is intended for graduatestudents and advanced undergraduates in genetics and population biology. This book steers a middle course between completely verbal biological arguments and the rigor of the mathematician. The first two-thirds of the book do not require advanced mathematical background. An ordinary knowledge of calculus will suffice. The latter parts of the book, which deal with population stochastically, use more advanced methods.
The Origins Of Theoretical Population Genetics
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Author : William B. Provine
language : en
Publisher: University of Chicago Press
Release Date : 2001-05
The Origins Of Theoretical Population Genetics written by William B. Provine and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05 with History categories.
Tracing the development of population genetics through the writings of such luminaries as Darwin, Galton, Pearson, Fisher, Haldane, and Wright, William B. Provine sheds light on this complex field as well as its bearing on other branches of biology.
Theory Of Population Genetics And Evolutionary Ecology
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Author : Jonathan Roughgarden
language : en
Publisher: Free Press
Release Date : 1979
Theory Of Population Genetics And Evolutionary Ecology written by Jonathan Roughgarden and has been published by Free Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Science categories.
This is a reprint of a classic which synthesizes population, genetics, and population genetics to form one of the first books on evolutionary ecology. Written by one of the foremost authorities in the field, it is designed as an introduction useful to readers at various levels from diverse backgrounds. It features balanced, readable coverge of both elementary and advanced topics that are essential to those interested in evolutionary biology, ecology, animal behavior, sociobiology, and paleobiology.
Population Genetics
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Author : Matthew B. Hamilton
language : en
Publisher: John Wiley & Sons
Release Date : 2021-01-26
Population Genetics written by Matthew B. Hamilton and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-26 with Science categories.
Now updated for its second edition, Population Genetics is the classic, accessible introduction to the concepts of population genetics. Combining traditional conceptual approaches with classical hypotheses and debates, the book equips students to understand a wide array of empirical studies that are based on the first principles of population genetics. Featuring a highly accessible introduction to coalescent theory, as well as covering the major conceptual advances in population genetics of the last two decades, the second edition now also includes end of chapter problem sets and revised coverage of recombination in the coalescent model, metapopulation extinction and recolonization, and the fixation index.
Introduction To Population Genetics
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Author : Richard Halliburton
language : en
Publisher: Pearson
Release Date : 2004
Introduction To Population Genetics written by Richard Halliburton and has been published by Pearson this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Juvenile Nonfiction categories.
Making the theory of population genetics relevant to readers, this book explains the related mathematics with a logical organization. It presents the quantitative aspects of population genetics, and employs examples of human genetics, medical evolution, human evolution, and endangered species. For an introduction to, and understanding of, population genetics.
Population Genetics Molecular Evolution And The Neutral Theory
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Author : Motoo Kimura
language : en
Publisher: University of Chicago Press
Release Date : 1994
Population Genetics Molecular Evolution And The Neutral Theory written by Motoo Kimura and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
One of this century's leading evolutionary biologists, Motoo Kimura revolutionized the field with his random drift theory of molecular evolution—the neutral theory—and his groundbreaking theoretical work in population genetics. This volume collects 57 of Kimura's most important papers and covers forty years of his diverse and original contributions to our understanding of how genetic variation affects evolutionary change. Kimura's neutral theory, first presented in 1968, challenged the notion that natural selection was the sole directive force in evolution. Arguing that mutations and random drift account for variations at the level of DNA and amino acids, Kimura advanced a theory of evolutionary change that was strongly challenged at first and that eventually earned the respect and interest of evolutionary biologists throughout the world. This volume includes the seminal papers on the neutral theory, as well as many others that cover such topics as population structure, variable selection intensity, the genetics of quantitative characters, inbreeding systems, and reversibility of changes by random drift. Background essays by Naoyuki Takahata examine Kimura's work in relation to its effects and recent developments in each area.
Frontiers In Mathematical Biology
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Author : Simon A. Levin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-13
Frontiers In Mathematical Biology written by Simon A. Levin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-13 with Mathematics categories.
From a mathematical point of view, physiologically structured population models are an underdeveloped branch of the theory of infinite dimensional dynamical systems. We have called attention to four aspects: (i) A choice has to be made about the kind of equations one extracts from the predominantly verbal arguments about the basic assumptions, and subsequently uses as a starting point for a rigorous mathematical analysis. Though differential equations are easy to formulate (different mechanisms don't interact in infinites imal time intervals and so end up as separate terms in the equations) they may be hard to interpret rigorously as infinitesimal generators. Integral equations constitute an attractive alternative. (ii) The ability of physiologically structured population models to increase our un derstanding of the relation between mechanisms at the i-level and phenomena at the p-level will depend strongly on the development of dynamical systems lab facilities which are applicable to this class of models. (iii) Physiologically structured population models are ideally suited for the for mulation of evolutionary questions. Apart from the special case of age (see Charlesworth 1980, Yodzis 1989, Caswell 1989, and the references given there) hardly any theory exists at the moment. This will, hopefully, change rapidly in the coming years. Again the development of appropriate software may turn out to be crucial.
Evolutionary Dynamics And Extensive Form Games
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Author : Ross Cressman
language : en
Publisher: MIT Press
Release Date : 2003
Evolutionary Dynamics And Extensive Form Games written by Ross Cressman and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Business & Economics categories.
Evolutionary game theory attempts to predict individual behavior (whether of humans or other species) when interactions between individuals are modeled as a noncooperative game. Most dynamic analyses of evolutionary games are based on their normal forms, despite the fact that many interesting games are specified more naturally through their extensive forms. Because every extensive form game has a normal form representation, some theorists hold that the best way to analyze an extensive form game is simply to ignore the extensive form structure and study the game in its normal form representation. This book rejects that suggestion, arguing that a game's normal form representation often omits essential information from the perspective of dynamic evolutionary game theory.