Download or read book The Geometry of Population Genetics written by Ethan Akin and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The differential equations which model the action of selection and recombination are nonlinear equations which are impossible to It is even difficult to describe in general the solve explicitly. Recently, Shahshahani began using qualitative behavior of solutions. differential geometry to study these equations [28]. with this mono graph I hope to show that his ideas illuminate many aspects of pop ulation genetics. Among these are his proof and clarification of Fisher's Fundamental Theorem of Natural Selection and Kimura's Maximum Principle and also the effect of recombination on entropy. We also discover the relationship between two classic measures of 2 genetic distance: the x measure and the arc-cosine measure. There are two large applications. The first is a precise definition of the biological concept of degree of epistasis which applies to general (i.e. frequency dependent) forms of selection. The second is the unexpected appearance of cycling. We show that cycles can occur in the two-locus-two-allele model of selection plus recombination even when the fitness numbers are constant (i.e. no frequency dependence). This work is addressed to two different kinds of readers which accounts for its mode of organization. For the biologist, Chapter I contains a description of the entire work with brief indications of a proof for the harder results. I imagine a reader with some familiarity with linear algebra and systems of differential equations. Ideal background is Hirsch and Smale's text [15].
Download or read book Information Geometry and Population Genetics written by Julian Hofrichter and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics. This well-known and intensively studied model carries a rich and beautiful mathematical structure, which is uncovered here in a systematic manner. In addition to approaches by means of analysis, combinatorics and PDE, a geometric perspective is brought in through Amari's and Chentsov's information geometry. This concept allows us to calculate many quantities of interest systematically; likewise, the employed global perspective elucidates the stratification of the model in an unprecedented manner. Furthermore, the links to statistical mechanics and large deviation theory are explored and developed into powerful tools. Altogether, the manuscript provides a solid and broad working basis for graduate students and researchers interested in this field.
Download or read book Population Genetics written by John H. Gillespie and published by JHU Press. This book was released on 2004-08-06 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Download or read book Information Geometry and Population Genetics written by Julian Hofrichter and published by Springer. This book was released on 2017-02-23 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics. This well-known and intensively studied model carries a rich and beautiful mathematical structure, which is uncovered here in a systematic manner. In addition to approaches by means of analysis, combinatorics and PDE, a geometric perspective is brought in through Amari's and Chentsov's information geometry. This concept allows us to calculate many quantities of interest systematically; likewise, the employed global perspective elucidates the stratification of the model in an unprecedented manner. Furthermore, the links to statistical mechanics and large deviation theory are explored and developed into powerful tools. Altogether, the manuscript provides a solid and broad working basis for graduate students and researchers interested in this field.
Download or read book Population Genetics written by W.J. Ewens and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Population genetics is the mathematical investigation of the changes in the genetic structure of populations brought about by selection, mutation, inbreeding, migration, and other phenomena, together with those random changes deriving from chance events. These changes are the basic components of evolutionary progress, and an understanding of their effect is therefore necessary for an informed discussion of the reasons for and nature of evolution. It would, however, be wrong to pretend that a mathematical theory, depending as it must on a large number of simplifying assump tions, should be accepted unreservedly and that its conclusions should be accepted uncritically. No-one would pretend that in the event of disagreement between observation and mathematical prediction, the discrepancy is due to anything other than the inadequacy of the mathematical treatment. The biological world is, of course, far too complex for the study of population genetics to be simply a branch of applied mathematics, so that while we are concerned here with the mathematical theory, I have tried to indicate which of our results should continue to apply in a context wider than that in which they are formally derived. The difficulties involved in the joint discussions of mathematical and genetical problems are obvious enough. I have tried to aim this book rather more at the mathematician than at the geneticist, and for this reason a brief glossary of common genetical terms is included.
Download or read book Genetic Diversity in Establishing Plant Populations written by Steven H. Rogstad and published by CRC Press. This book was released on 2011-09-02 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new research described in this book demonstrates that the interplay of a host of founding conditions can frequently produce profound differences in population expansion rates and maintenance of genetic diversity in contrasting populations that differ, often only to slight degrees, in initial founding conditions. The goals of this book are twofo
Download or read book Principles of Population Genetics written by Daniel L. Hartl and published by Sinauer Associates, Incorporated. This book was released on 1989 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: Darwinian evolution in mendelian populations. Random genetic drift. Mutation and the neutral theory. Natural selection. Inbreeding and other forms of nonrandom mating. Population subdivision and migration. Molecular population genetics. Evolutionary genetics of quantitative characters. Ecological genetics and speciation.
Download or read book Mathematical Topics in Population Genetics written by Ken-ichi Kojima and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Integrated View of Population Genetics written by Rafael Maia and published by BoD – Books on Demand. This book was released on 2019-03-20 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: Population genetics is the basis of evolutionary studies, and has been widely used in several researches. This recent field of science has important applications for the management of populations (natural and domesticated), as well as for evolutionary studies of the various factors that affect gene frequencies over time and spatial distribution.In this work, presented in three sections (Population and Quantitative Genetics, Genetic Diversity in Crop Management, Population Genetics for Conservation Studies), the reader will find cutting-edge information in carefully selected and revised works.This book is intended for all researchers, academics, and students who are interested in the intriguing area of population genetics.
Download or read book Population Genetics written by Matthew B. Hamilton and published by John Wiley & Sons. This book was released on 2011-09-23 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to make population genetics approachable, logical and easily understood. To achieve these goals, the book’s design emphasizes well explained introductions to key principles and predictions. These are augmented with case studies as well as illustrations along with introductions to classical hypotheses and debates. Pedagogical features in the text include: Interact boxes that guide readers step-by-step through computer simulations using public domain software. Math boxes that fully explain mathematical derivations. Methods boxes that give insight into the use of actual genetic data. Numerous Problem boxes are integrated into the text to reinforce concepts as they are encountered. Dedicated website at www.wiley.com/go/hamiltongenetics This text also offers a highly accessible introduction to coalescent theory, the major conceptual advance in population genetics of the last two decades.
Download or read book Population Genetics written by Ching Chun Li and published by . This book was released on 1955 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Human Population Genetics written by P.P. Majumder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: J. B. S. Haldane, R. A. Fisher and Sewall Wright simultaneously, and largely independently, laid the foundations of population genetics and the mathematical theory of evolution. Hal dane was born on November 5, 1892. Although he primarily worked at the University College London (UCL), in 1957 he resigned from the UCL and joined the Indian Statistical Institute, Calcutta (India) as a Research Professor. In celebration of his birth centenary, the Indian Statistical Institute organized an International Conference on Human Genetics from 15 to 19 December, 1992. The prime motive in holding this Conference was to bring together a group of scientists - geneticists, anthropologists, clinicians and statisticians - to evaluate the impact of Haldane's contributions to various areas of human genetics, and also to review recent developments in the subject. Session and lecture themes were so chosen that they covered areas theoretical and applied, classical and emerging. Speakers were then identified and invited to deliver lectures on these themes. Manuscripts of all invited presentations and a selected number of contributed presentations were considered for inclusion in this Proceed ings Volume. Each manuscript was reviewed by at least one Conference participant, which resulted in revision of several manuscripts and rejection of some. This volume is a collection of the manuscripts which have been 'accepted' after the review-process. The Conference began with the "J. B. S. Haldane Centenary Lecture" delivered by C. R. Rao.
Download or read book Human Populations Genetic Variation and Evolution written by Laura Newell Morris and published by . This book was released on 1971 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Population Genetics written by Ching Chun Li and published by . This book was released on 1948 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theoretical Population Genetics written by J.S. Gale and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Transmission and Population Genetics written by Benjamin A. Pierce and published by Macmillan. This book was released on 2006-01-09 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new brief version of Benjamin Pierce’s Genetics: A Conceptual Approach, Second Edition, responds to a growing trend of focusing the introductory course on transmission and population genetics and covering molecular genetics separately. The book is comprised of following chapters an case studies from Pierce's complete text: 1. Introduction to Genetics 2. Chromosomes and Cellular Reproduction 3. Basic Principles of Heredity 4. Sex Determination and Sex-Linked Characteristics 5. Extensions and Modifications of Basic Principles 6. Pedigree Analysis and Applications INTEGRATIVE CASE STUDY Phenylketonuria: Part I 7. Linkage, Recombination, and Eukaryotic Gene Mapping 8. Bacterial and Viral Genetic Systems 9. Chromosome Variation INTEGRATIVE CASE STUDY Phenylketonuria: Part II 22. Quantitative Genetics 23. Population Genetics and Molecular Evolution INTEGRATIVE CASE STUDY Phenylketonuria: Part III
Download or read book An Introduction to Population Genetics Theory written by James Franklin Crow and published by . This book was released on 1970 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt:
