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Author: Thomas Nagylaki Publisher: Springer Science & Business Media ISBN: 364276214X Category : Science Languages : en Pages : 381
Book Description
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).
Author: Thomas Nagylaki Publisher: Springer Science & Business Media ISBN: 364276214X Category : Science Languages : en Pages : 381
Book Description
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).
Author: William B. Provine Publisher: University of Chicago Press ISBN: 022678892X Category : Science Languages : en Pages : 224
Book Description
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.
Author: J.S. Gale Publisher: Springer Science & Business Media ISBN: 9400903871 Category : Science Languages : en Pages : 428
Book Description
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.
Author: Motoo Kimura Publisher: Princeton University Press ISBN: 0691210098 Category : Science Languages : en Pages : 233
Book Description
To show the importance of stochastic processes in the change of gene frequencies, the authors discuss topics ranging from molecular evolution to two-locus problems in terms of diffusion models. Throughout their discussion, they come to grips with one of the most challenging problems in population genetics--the ways in which genetic variability is maintained in Mendelian populations. R.A. Fisher, J.B.S. Haldane, and Sewall Wright, in pioneering works, confirmed the usefulness of mathematical theory in population genetics. The synthesis their work achieved is recognized today as mathematical genetics, that branch of genetics whose aim is to investigate the laws governing the genetic structure of natural populations and, consequently, to clarify the mechanisms of evolution. For the benefit of population geneticists without advanced mathematical training, Professors Kimura and Ohta use verbal description rather than mathematical symbolism wherever practicable. A mathematical appendix is included.
Author: Richard B. Goldschmidt Publisher: Univ of California Press ISBN: 0520346351 Category : Science Languages : en Pages : 574
Book Description
This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1955.
Author: Warren J. Ewens Publisher: Springer Science & Business Media ISBN: 9780387201917 Category : Science Languages : en Pages : 448
Book Description
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.
Author: Oscar Kempthorne Publisher: Wiley-Blackwell ISBN: Category : Science Languages : en Pages : 574
Book Description
Elementary probability; Random mating populations; Elementary selection problems; The elementary stochastic theory of genetic populations; Inbreeding; The generation matrix theory of inbreeding; Tests of genetic hypotheses; The estimation of genetic parameters; The planning of experiments; Statistical problems in human genetics; The analysis of variation; The partition of variance; Multiple regression, correlation and adjustment of data, and path analysis; Inheritance of quantitative characters in a random mating population; Non-random mating deploid populations with one locus segregating; Correlation between relatives under inbreeding with one locus segregating; One-locus polyploid populations; Diploid populations with arbitrary number of segregating loci and arbitrary epistacy; Inbreeding with a arbitrary diploid population; Population derived from inbred lines; Infinitesimal equilibrium theory of assortative mating; Selection for quantitative characters.
Author: Montgomery Slatkin Publisher: Oxford University Press on Demand ISBN: 9780198599630 Category : Mathematics Languages : en Pages : 264
Book Description
This book contains chapters by leading population genetics that summarize many of the recent developments in population genetics theory and its application to genetic data. The book was inspired by a meeting in honour of the late French population geneticist, Gustave Malecot, held at the Ecole Normale Superieure in Paris, France, in the summer of 1999. Malecot was, along with R.A. Fisher, J.B.S. Haldane, and S. Wright, among the founders of theoretical population genetics. The meeting demonstrated both the great interest in Malecot's work and its relevance to the recent development of the theory of coalescents and the application of that theory to genetic variation observed at the level of DNA sequence. The introductory papers in the book review Malecot's life and his contributions to the theory of population genetics. Later chapters present recent developments in population genetics with particular emphasis on the theory of coalescents. They include discussions of methods for inferring past changes in population size and patterns of genetic exchange, for inferring the ages of individual mutations, and for analysing the relationships among closely linked genes.
Author: Gerd B. Muller Publisher: MIT Press ISBN: 9780262134194 Category : Science Languages : en Pages : 354
Book Description
A more comprehensive version of evolutionary theory that focuses as much on the origin of biological form as on its diversification. The field of evolutionary biology arose from the desire to understand the origin and diversity of biological forms. In recent years, however, evolutionary genetics, with its focus on the modification and inheritance of presumed genetic programs, has all but overwhelmed other aspects of evolutionary biology. This has led to the neglect of the study of the generative origins of biological form. Drawing on work from developmental biology, paleontology, developmental and population genetics, cancer research, physics, and theoretical biology, this book explores the multiple factors responsible for the origination of biological form. It examines the essential problems of morphological evolution—why, for example, the basic body plans of nearly all metazoans arose within a relatively short time span, why similar morphological design motifs appear in phylogenetically independent lineages, and how new structural elements are added to the body plan of a given phylogenetic lineage. It also examines discordances between genetic and phenotypic change, the physical determinants of morphogenesis, and the role of epigenetic processes in evolution. The book discusses these and other topics within the framework of evolutionary developmental biology, a new research agenda that concerns the interaction of development and evolution in the generation of biological form. By placing epigenetic processes, rather than gene sequence and gene expression changes, at the center of morphological origination, this book points the way to a more comprehensive theory of evolution.
Author: Thomas Nagylaki
Author: Thomas Nagylaki
Author: William B. Provine
Author: J.S. Gale
Author: Motoo Kimura
Author: Richard B. Goldschmidt
Author: Warren J. Ewens
Author: Richard Goldschmidt
Author: Oscar Kempthorne
Author: Montgomery Slatkin
Author: Gerd B. Muller