Mathematical Population Genetics 1
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Author |
: Warren J. Ewens |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 435 |
Release |
: 2012-10-01 |
ISBN-10 |
: 9780387218229 |
ISBN-13 |
: 038721822X |
Rating |
: 4/5 (29 Downloads) |
Synopsis Mathematical Population Genetics 1 by : Warren J. Ewens
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 |
: W. J. Ewens |
Publisher |
: Springer |
Total Pages |
: 354 |
Release |
: 1979-11 |
ISBN-10 |
: CORNELL:31924001937170 |
ISBN-13 |
: |
Rating |
: 4/5 (70 Downloads) |
Synopsis Mathematical Population Genetics by : W. J. Ewens
Author |
: Warren J. Ewens |
Publisher |
: Springer |
Total Pages |
: 418 |
Release |
: 2012-11-06 |
ISBN-10 |
: 1468495887 |
ISBN-13 |
: 9781468495881 |
Rating |
: 4/5 (87 Downloads) |
Synopsis Mathematical Population Genetics 1 by : Warren J. Ewens
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 |
: W.J. Ewens |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 153 |
Release |
: 2013-03-12 |
ISBN-10 |
: 9789401033558 |
ISBN-13 |
: 9401033552 |
Rating |
: 4/5 (58 Downloads) |
Synopsis Population Genetics by : W.J. Ewens
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.
Author |
: Anthony William Fairbank Edwards |
Publisher |
: Cambridge University Press |
Total Pages |
: 138 |
Release |
: 2000-01-13 |
ISBN-10 |
: 0521775442 |
ISBN-13 |
: 9780521775441 |
Rating |
: 4/5 (42 Downloads) |
Synopsis Foundations of Mathematical Genetics by : Anthony William Fairbank Edwards
A definitive account of the origins of modern mathematical population genetics, first published in 2000.
Author |
: Warren J. Ewens |
Publisher |
: |
Total Pages |
: 325 |
Release |
: 1979 |
ISBN-10 |
: LCCN:79018938 |
ISBN-13 |
: |
Rating |
: 4/5 (38 Downloads) |
Synopsis Mathematical Population Genetics by : Warren J. Ewens
Author |
: Warren J. Ewens |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 448 |
Release |
: 2004-01-09 |
ISBN-10 |
: 0387201912 |
ISBN-13 |
: 9780387201917 |
Rating |
: 4/5 (12 Downloads) |
Synopsis Mathematical Population Genetics 1 by : Warren J. Ewens
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 |
: Julian Hofrichter |
Publisher |
: Springer |
Total Pages |
: 323 |
Release |
: 2017-02-23 |
ISBN-10 |
: 9783319520452 |
ISBN-13 |
: 3319520458 |
Rating |
: 4/5 (52 Downloads) |
Synopsis Information Geometry and Population Genetics by : Julian Hofrichter
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.
Author |
: John H. Relethford |
Publisher |
: John Wiley & Sons |
Total Pages |
: 326 |
Release |
: 2012-03-27 |
ISBN-10 |
: 9780470464670 |
ISBN-13 |
: 0470464674 |
Rating |
: 4/5 (70 Downloads) |
Synopsis Human Population Genetics by : John H. Relethford
Introductory guide to human population genetics and microevolutionary theory Providing an introduction to mathematical population genetics, Human Population Genetics gives basic background on the mechanisms of human microevolution. This text combines mathematics, biology, and anthropology and is best suited for advanced undergraduate and graduate study. Thorough and accessible, Human Population Genetics presents concepts and methods of population genetics specific to human population study, utilizing uncomplicated mathematics like high school algebra and basic concepts of probability to explain theories central to the field. By describing changes in the frequency of genetic variants from one generation to the next, this book hones in on the mathematical basis of evolutionary theory. Human Population Genetics includes: Helpful formulae for learning ease Graphs and analogies that make basic points and relate the evolutionary process to mathematical ideas Glossary terms marked in boldface within the book the first time they appear In-text citations that act as reference points for further research Exemplary case studies Topics such as Hardy-Weinberg equilibrium, inbreeding, mutation, genetic drift, natural selection, and gene flow Human Population Genetics solidifies knowledge learned in introductory biological anthropology or biology courses and makes it applicable to genetic study. NOTE: errata for the first edition can be found at the author's website: http://employees.oneonta.edu/relethjh/HPG/errata.pdf
Author |
: J.S. Gale |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 428 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9789400903876 |
ISBN-13 |
: 9400903871 |
Rating |
: 4/5 (76 Downloads) |
Synopsis Theoretical Population Genetics by : J.S. Gale
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.