The Role Of Mathematics In Evolutionary Theory
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The Role Of Mathematics In Evolutionary Theory
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Author : Jun Otsuka
language : en
Publisher: Cambridge University Press
Release Date : 2019-10-17
The Role Of Mathematics In Evolutionary Theory written by Jun Otsuka and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-17 with Science categories.
The central role of mathematical modeling in modern evolutionary theory has raised a concern as to why and how abstract formulae can say anything about empirical phenomena of evolution. This Element introduces existing philosophical approaches to this problem and proposes a new account according to which evolutionary models are based on causal, and not just mathematical, assumptions. The novel account features causal models both as the Humean 'uniform nature' underlying evolutionary induction and as the organizing framework that integrates mathematical and empirical assumptions into a cohesive network of beliefs that functions together to achieve epistemic goals of evolutionary biology.
Mathematical Evolutionary Theory
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Author : Marcus Feldman
language : en
Publisher: Princeton University Press
Release Date : 2014-07-14
Mathematical Evolutionary Theory written by Marcus Feldman and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Science categories.
An international group of distinguished scientists presents an up-to-date survey of quantitative problems at the forefront of modern evolutionary theory. Their articles illustrate results from the latest research in population and behavioral genetics, molecular evolution, and ecology. Each author gives careful attention to the exposition of the models, the logic of their analysis, and the legitimacy of qualitative biological inferences. The topics covered include stochastic models of finite populations and the sorts of diffusion approximations that are valid for their study, models of migration, kin selection, geneculture coevolution, sexual selection, life-history evolution, the statistics of linkage disequilibrium, and the molecular evolution of repeated DNA sequences and the HLA system in humans. The fourteen contributions are presented in two sections: Part I, Stochastic and Deterministic Genetic Theory, and Part II, Behavior, Ecology, and Evolutionary Genetics. Marcus W. Feldman provides an introduction to each part. The contributors are J. G. Bodmer, W. F. Bodmer, L. L. Cavalli Sforza, F. B. Christiansen, C. Cockerham, W. J. Ewens, M. W. Feldman, J. H. Gillespie, R. R. Hudson, N. L. Kaplan, S. Lessard, U. Liberman, M.E.N. Majerus, P. O'Donald, J. Roughgarden, S. Tavar, M. K. Uyenoyama, G. A. Watterson, and B. Weir. Originally published in 1989. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Mathematical And Statistical Developments Of Evolutionary Theory
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Author : S. Lessard
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical And Statistical Developments Of Evolutionary Theory written by S. Lessard 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.
Mathematical and statistical approaches to evolutionary theory are numerous. The NATO Advanced Study Institute (ASI) held at the Universite de Montreal, Montreal, August 3-21, 1987, was an opportunity to review most of the classical approaches and to study the more recent developments. The participation of theoretical biologists and geneticists as well as applied mathematicians and statisticians made possible exchanges of ideas between students and scholars having different views on the subject. These Proceedings contain the lecture notes of seven (7) of the eleven (11) series of lectures that were given. ESS (Evolutionarily Stable Stragety) theory is considered from many perspectives, from a game-theoretic approach to understanding behavior and evolution (W.G.S. Hines), and a systematic classification of properties and patterns of ESS's (C. Cannings) to particular applications of the differential geometry of the Shahshahani metric (E. Akin). Extensions of ESS theory to sexual populations and finite populations, not to mention games between relatives, are presented (W.G.S. Hines). Special attention is given to the classical game called the War of Attrition but with n players and random rewards (C. Cannings). The Shahshahani metric is also used to show the occurrence of cycling in the two-locus, two-allele model (E. Akin). Various inference problems in population genetics are adressed. Procedures to detect and measure selection components and polymorphism (in particular, the Wahlund effect) at one or several loci from mother-offspring combinations in natural populations are discussed at length (F.B. Christiansen).
Mathematical Evolutionary Theory
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Author : Marcus W. Feldman
language : en
Publisher:
Release Date : 1989
Mathematical Evolutionary Theory written by Marcus W. Feldman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
An international group of distinguished scientists presents an up-to-date survey of quantitative problems at the forefront of modern evolutionary theory. Their articles illustrate results from the latest research in population and behavioral genetics, molecular evolution, and ecology. Each author gives careful attention to the exposition of the models, the logic of their analysis, and the legitimacy of qualitative biological inferences. The topics covered include stochastic models of finite populations and the sorts of diffusion approximations that are valid for their study, models of migration, kin selection, geneculture coevolution, sexual selection, life-history evolution, the statistics of linkage disequilibrium, and the molecular evolution of repeated DNA sequences and the HLA system in humans. The fourteen contributions are presented in two sections: Part I, Stochastic and Deterministic Genetic Theory, and Part II, Behavior, Ecology, and Evolutionary Genetics. Marcus W. Feldman provides an introduction to each part. The contributors are J. G. Bodmer, W. F. Bodmer, L. L. Cavalli Sforza, F. B. Christiansen, C. Cockerham, W. J. Ewens, M. W. Feldman, J. H. Gillespie, R. R. Hudson, N. L. Kaplan, S. Lessard, U. Liberman, M.E.N. Majerus, P. O'Donald, J. Roughgarden, S. Tavar, M. K. Uyenoyama, G. A. Watterson, and B. Weir. Originally published in 1989. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Mathematical Models Of Social Evolution
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Author : Richard McElreath
language : en
Publisher: University of Chicago Press
Release Date : 2008-09-15
Mathematical Models Of Social Evolution written by Richard McElreath 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 2008-09-15 with Social Science categories.
Over the last several decades, mathematical models have become central to the study of social evolution, both in biology and the social sciences. But students in these disciplines often seriously lack the tools to understand them. A primer on behavioral modeling that includes both mathematics and evolutionary theory, Mathematical Models of Social Evolution aims to make the student and professional researcher in biology and the social sciences fully conversant in the language of the field. Teaching biological concepts from which models can be developed, Richard McElreath and Robert Boyd introduce readers to many of the typical mathematical tools that are used to analyze evolutionary models and end each chapter with a set of problems that draw upon these techniques. Mathematical Models of Social Evolution equips behaviorists and evolutionary biologists with the mathematical knowledge to truly understand the models on which their research depends. Ultimately, McElreath and Boyd’s goal is to impart the fundamental concepts that underlie modern biological understandings of the evolution of behavior so that readers will be able to more fully appreciate journal articles and scientific literature, and start building models of their own.
Evolutionstheorie Und Dynamische Systeme
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Author : Josef Hofbauer
language : en
Publisher:
Release Date : 1988
Evolutionstheorie Und Dynamische Systeme written by Josef Hofbauer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
This textbook is an introduction to dynamical systems and its applications to evolutionary game theory, mathematical ecology, and population genetics. This first English edition is a translation from the authors' successful German edition which has already made an enormous impact on the teaching and study of mathematical biology. The book's main theme is to discuss the solution of differential equations that arise from examples in evolutionary biology. Topics covered include the Hardy–Weinberg law, the Lotka–Volterra equations for ecological models, genetic evolution, aspects of sociobiology, and mutation and recombination. There are numerous examples and exercises throughout and the reader is led up to some of the most recent developments in the field. Thus the book will make an ideal introduction to the subject for graduate students in mathematics and biology coming to the subject for the first time. Research workers in evolutionary theory will also find much of interest here in the application of powerful mathematical techniques to the subject.
Mathematics And The Real World
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Author : Zvi Artstein
language : en
Publisher: Prometheus Books
Release Date : 2014-09-02
Mathematics And The Real World written by Zvi Artstein and has been published by Prometheus Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-02 with Mathematics categories.
In this accessible and illuminating study of how the science of mathematics developed, a veteran math researcher and educator looks at the ways in which our evolutionary makeup is both a help and a hindrance to the study of math. Artstein chronicles the discovery of important mathematical connections between mathematics and the real world from ancient times to the present. The author then describes some of the contemporary applications of mathematics—in probability theory, in the study of human behavior, and in combination with computers, which give mathematics unprecedented power. The author concludes with an insightful discussion of why mathematics, for most people, is so frustrating. He argues that the rigorous logical structure of math goes against the grain of our predisposed ways of thinking as shaped by evolution, presumably because the talent needed to cope with logical mathematics gave the human race as a whole no evolutionary advantage. With this in mind, he offers ways to overcome these innate impediments in the teaching of math.
Mathematical Population Genetics 1
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Author : Warren J. Ewens
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-01
Mathematical Population Genetics 1 written by Warren J. Ewens 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 2012-10-01 with Science categories.
This is the first of a planned two-volume work discussing the mathematical aspects of population genetics with an emphasis on evolutionary theory. This volume draws heavily from the author’s 1979 classic, but it has been revised and expanded to include recent topics which follow naturally from the treatment in the earlier edition, such as the theory of molecular population genetics.
Evolutionary Theory
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Author : Sean H. Rice
language : en
Publisher: Sinauer Associates Incorporated
Release Date : 2004
Evolutionary Theory written by Sean H. Rice and has been published by Sinauer Associates Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Evolutionary Theory is for graduate students, researchers, and advanced undergraduates who want an understanding of the mathematical and biological reasoning that underlies evolutionary theory. The book covers all of the major theoretical approaches used to study the mechanics of evolution, including classical one- and two-locus models, diffusion theory, coalescent theory, quantitative genetics, and game theory. There are also chapters on theoretical approaches to the evolution of development and on multilevel selection theory. Each subject is illustrated by focusing on those results that have the greatest power to influence the way that we think about how evolution works. These major results are developed in detail, with many accompanying illustrations, showing exactly how they are derived and how the mathematics relates to the biological insights that they yield. In this way, the reader learns something of the actual machinery of different branches of theory while gaining a deeper understanding of the evolutionary process. Roughly half of the book focuses on gene-based models, the other half being concerned with general phenotype-based theory. Throughout, emphasis is placed on the fundamental relationships between the different branches of theory, illustrating how all of these branches are united by a few basic, universal, principles. The only mathematical background assumed is basic calculus. More advanced mathematical methods are explained, with the help of an extensive appendix, when they are needed.
Introduction To Evolutionary Informatics
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Author : Robert J Marks Ii
language : en
Publisher: World Scientific
Release Date : 2017-02-27
Introduction To Evolutionary Informatics written by Robert J Marks Ii and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-27 with Computers categories.
Science has made great strides in modeling space, time, mass and energy. Yet little attention has been paid to the precise representation of the information ubiquitous in nature.Introduction to Evolutionary Informatics fuses results from complexity modeling and information theory that allow both meaning and design difficulty in nature to be measured in bits. Built on the foundation of a series of peer-reviewed papers published by the authors, the book is written at a level easily understandable to readers with knowledge of rudimentary high school math. Those seeking a quick first read or those not interested in mathematical detail can skip marked sections in the monograph and still experience the impact of this new and exciting model of nature's information.This book is written for enthusiasts in science, engineering and mathematics interested in understanding the essential role of information in closely examined evolution theory.