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Book Analytical Theory of Biological Populations

Download or read book Analytical Theory of Biological Populations written by Alfred J. Lotka and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 50 years that have passed since Alfred Latka's death in 1949 his position as the father of mathematical demography has been secure. With his first demographic papers in 1907 and 1911 (the latter co authored with F. R. Sharpe) he laid the foundations for stable population theory, and over the next decades both largely completed it and found convenient mathematical approximations that gave it practical applica tions. Since his time, the field has moved in several directions he did not foresee, but in the main it is still his. Despite Latka's stature, however, the reader still needs to hunt through the old journals to locate his principal works. As yet no exten sive collections of his papers are in print, and for his part he never as sembled his contributions into a single volume in English. He did so in French, in the two part Theorie Analytique des Associations Biologiques (1934, 1939). Drawing on his Elements of Physical Biology (1925) and most of his mathematical papers, Latka offered French readers insights into his biological thought and a concise and mathematically accessible summary of what he called recent contributions in demographic analy sis. We would be accurate in also calling it Latka's contributions in demographic analysis.

Book The Analysis of Biological Populations

Download or read book The Analysis of Biological Populations written by Mark Williamson and published by . This book was released on 1974 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Mathematical Theory of the Dynamics of Biological Populations

Download or read book The Mathematical Theory of the Dynamics of Biological Populations written by Institute of Mathematics and Its Applications and published by . This book was released on 1973 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Management and Analysis of Biological Populations

Download or read book Management and Analysis of Biological Populations written by B.-S. Goh and published by Elsevier. This book was released on 2012-12-02 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Management and Analysis of Biological Populations demonstrates the usefulness of optimal control theory in the management of biological populations and the Liapunov function in simulating an ecosystem model under large perturbations of its initial state and continual disturbances on its dynamics. The first chapter of the book introduces the topic by presenting the different models in ecology and discussing the stability concepts, the ecological engineering, and various relevant functions in ecosystem modeling. The next chapter contains a brief survey of static optimization techniques and optimal control theory for systems, which are modeled by differential and difference equations. Another chapter covers methods that use Liapunov and Liapunov-like functions to establish that a given population model is stable relative to finite perturbations of its initial state and that it is non-vulnerable relative to large continual disturbances. The book also covers fisheries and logistic modeling, including a discussion of a few management problems. Moreover, this reference considers stability in an ecosystem model with complexities due to species richness, nonlinearities, time delays, and spatial heterogeneity. Finally, it explains how to manage pests and greenhouse crops. The book is an excellent reference source for students and professionals in ecology and environmental engineering. Research professionals and extended workers in agriculture and agronomy will also find this book invaluable.

Book The Analysis of Biological Populations

Download or read book The Analysis of Biological Populations written by Mark Herbert Williamson and published by Hodder Education. This book was released on 1972 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Theories of Populations in Biological Communities

Download or read book Theories of Populations in Biological Communities written by F. B. Christiansen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: When we wrote this book it was, admittedly, flrst of all for the sake of our own enjoyment and enlightenment. We will, however, add our sincerely meant (but rather traditional) hope that it will prove interesting to graduate students, to colleagues and to anyone else, who will bother to read it. The book was written as a joint effort by a theoretically inclined population geneticist and an experimental ecologist who share opinions on what is interesting in the fleld of theoretical ecology. While we believe that qualifled natural history is of indisputable intrinsic value, we think that ecology is a natural science which should have a theoretical framework. On the other hand, theoretical ecology must draw its inspiration from nature and yield results which give insight into the flndings of the naturalist and inspire him to make new observations and experiments. Without this relationship between fleld biology and theory, mathe matical ecology may become a discipline totally divorced from biology and solve-albeit interesting-mathematical problems without signiflcance for ecology. Therefore, in addition to theoretical population biology (including some original models) the book also discusses observational data from nature to show how the theoretical models give new insight and how observations give rise to new theoretical thought. While no book on ecology could do without the mention of the hare-lynx example (and ours is, therefore, no exception) we have tried to bring new examples mainly derived from one of the authors' fleld of experience: microbial ecology and marine biology.

Book Theory of Populations

    Book Details:
  • Author : Alexandr N Tetearing
  • Publisher : Lulu.com
  • Release : 2016-11-29
  • ISBN : 1365560805
  • Pages : 614 pages

Download or read book Theory of Populations written by Alexandr N Tetearing and published by Lulu.com. This book was released on 2016-11-29 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the theory of development of the biological systems. The fundamental equation of life of a biological population, based on the general physical principles, allows us to get all the basic equations of population dynamics, describing the development of the populations under various environmental conditions. The equations describe the population transition that occurred in our human population in the late 20-th century. This transition may indicate the fact that the human population consists of two super-races - the old "slow" race, and new fast-growing human race that appeared on Earth relatively recently. The separate chapter presents the base classification of predator-prey systems. The classification consists of ninety-six different equation systems. The book is addressed to a broad auditorium of biologists, ecologists, and demographers, as well as readers, interested in the development of the biological populations. Translated from Russian.

Book Modeling and Analysis of Biological Populations

Download or read book Modeling and Analysis of Biological Populations written by Joan Pflugrath Lubben and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Population Ecology in Practice

Download or read book Population Ecology in Practice written by Dennis L. Murray and published by John Wiley & Sons. This book was released on 2020-02-10 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: A synthesis of contemporary analytical and modeling approaches in population ecology The book provides an overview of the key analytical approaches that are currently used in demographic, genetic, and spatial analyses in population ecology. The chapters present current problems, introduce advances in analytical methods and models, and demonstrate the applications of quantitative methods to ecological data. The book covers new tools for designing robust field studies; estimation of abundance and demographic rates; matrix population models and analyses of population dynamics; and current approaches for genetic and spatial analysis. Each chapter is illustrated by empirical examples based on real datasets, with a companion website that offers online exercises and examples of computer code in the R statistical software platform. Fills a niche for a book that emphasizes applied aspects of population analysis Covers many of the current methods being used to analyse population dynamics and structure Illustrates the application of specific analytical methods through worked examples based on real datasets Offers readers the opportunity to work through examples or adapt the routines to their own datasets using computer code in the R statistical platform Population Ecology in Practice is an excellent book for upper-level undergraduate and graduate students taking courses in population ecology or ecological statistics, as well as established researchers needing a desktop reference for contemporary methods used to develop robust population assessments.

Book Demography  Analysis and Synthesis  Four Volume Set

Download or read book Demography Analysis and Synthesis Four Volume Set written by Graziella Caselli and published by Academic Press. This book was released on 2006-01-03 with total page 2857 pages. Available in PDF, EPUB and Kindle. Book excerpt: This four-volume collection of over 140 original chapters covers virtually everything of interest to demographers, sociologists, and others. Over 100 authors present population subjects in ways that provoke thinking and lead to the creation of new perspectives, not just facts and equations to be memorized. The articles follow a theory-methods-applications approach and so offer a kind of "one-stop shop" that is well suited for students and professors who need non-technical summaries, such as political scientists, public affairs specialists, and others. Unlike shorter handbooks, Demography: Analysis and Synthesis offers a long overdue, thorough treatment of the field. Choosing the analytical method that fits the data and the situation requires insights that the authors and editors of Demography: Analysis and Synthesis have explored and developed. This extended examination of demographic tools not only seeks to explain the analytical tools themselves, but also the relationships between general population dynamics and their natural, economic, social, political, and cultural environments. Limiting themselves to human populations only, the authors and editors cover subjects that range from the core building blocks of population change--fertility, mortality, and migration--to the consequences of demographic changes in the biological and health fields, population theories and doctrines, observation systems, and the teaching of demography. The international perspectives brought to these subjects is vital for those who want an unbiased, rounded overview of these complex, multifaceted subjects. Topics to be covered: * Population Dynamics and the Relationship Between Population Growth and Structure * The Determinants of Fertility * The Determinants of Mortality * The Determinants of Migration * Historical and Geographical Determinants of Population * The Effects of Population on Health, Economics, Culture, and the Environment * Population Policies * Data Collection Methods and Teaching about Population Studies * All chapters share a common format * Each chapter features several cross-references to other chapters * Tables, charts, and other non-text features are widespread * Each chapter contains at least 30 bibliographic citations

Book The Mathematical Theory of the Dynamics of Biological Populations

Download or read book The Mathematical Theory of the Dynamics of Biological Populations written by M. S. Bartlett and published by . This book was released on 1974 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Theories of Populations in Biological Communities

Download or read book Theories of Populations in Biological Communities written by Freddy Bugge Christiansen and published by Springer. This book was released on 1977-02-01 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: When we wrote this book it was, admittedly, flrst of all for the sake of our own enjoyment and enlightenment. We will, however, add our sincerely meant (but rather traditional) hope that it will prove interesting to graduate students, to colleagues and to anyone else, who will bother to read it. The book was written as a joint effort by a theoretically inclined population geneticist and an experimental ecologist who share opinions on what is interesting in the fleld of theoretical ecology. While we believe that qualifled natural history is of indisputable intrinsic value, we think that ecology is a natural science which should have a theoretical framework. On the other hand, theoretical ecology must draw its inspiration from nature and yield results which give insight into the flndings of the naturalist and inspire him to make new observations and experiments. Without this relationship between fleld biology and theory, mathe matical ecology may become a discipline totally divorced from biology and solve-albeit interesting-mathematical problems without signiflcance for ecology. Therefore, in addition to theoretical population biology (including some original models) the book also discusses observational data from nature to show how the theoretical models give new insight and how observations give rise to new theoretical thought. While no book on ecology could do without the mention of the hare-lynx example (and ours is, therefore, no exception) we have tried to bring new examples mainly derived from one of the authors' fleld of experience: microbial ecology and marine biology.

Book Applied Mathematical Demography

Download or read book Applied Mathematical Demography written by Nathan Keyfitz and published by Springer. This book was released on 2010-11-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of this classic text maintains its focus on applications of demographic models, while extending its scope to matrix models for stage-classified populations. The authors first introduce the life table to describe age-specific mortality, and then use it to develop theory for stable populations and the rate of population increase. This theory is then revisited in the context of matrix models, for stage-classified as well as age-classified populations. Reproductive value and the stable equivalent population are introduced in both contexts, and Markov chain methods are presented to describe the movement of individuals through the life cycle. Applications of mathematical demography to population projection and forecasting, kinship, microdemography, heterogeneity, and multi-state models are considered. The new edition maintains and extends the book's focus on the consequences of changes in the vital rates. Methods are presented for calculating the sensitivity and elasticity of population growth rate, life expectancy, stable stage distribution, and reproductive value, and for applying those results in comparative studies. Stage-classified models are important in both human demography and population ecology, and this edition features examples from both human and non-human populations. In short, this third edition enlarges considerably the scope and power of demography. It will be an essential resource for students and researchers in demography and in animal and plant population ecology. Nathan Keyfitz is Professor Emeritus of Sociology at Harvard University. After holding positions at Canada's Dominion Bureau of Statistics, the University of Chicago, and the University of California at Berkeley, he became Andelot Professor of Sociology and Demography at Harvard in 1972. After retiring from Harvard, he became Director of the Population Program at the International Institute for Applied Systems Analysis (IIASA) in Vienna from 1983 to 1993. Keyfitz is a member of the U.S. National Academy of Sciences and the Royal Society of Canada, and a Fellow of the American Academy of Arts and Sciences. He has received the Mindel Sheps Award of the Population Association of America and the Lazarsfeld Award of the American Sociological Association, and was the 1997 Laureate of the International Union for the Scientific Study of Population. He has written 12 books, including Introduction to the Mathematics of Population (1968) and, with Fr. Wilhelm Flieger, SVD, World Population Growth and Aging: Demographic Trends in the Late Twentieth Century (1990). Hal Caswell is a Senior Scientist in the Biology Department of the Woods Hole Oceanographic Institution, where he holds the Robert W. Morse Chair for Excellence in Oceanography. He is a Fellow of the American Academy of Arts and Sciences. He has held a Maclaurin Fellowship from the New Zealand Institute of Mathematics and its Applications and a John Simon Guggenheim Memorial Fellowship. His research focuses on mathematical population ecology with applications in conservation biology. He is the author of Matrix Population Models: Construction, Analysis, and Interpretation (2001).

Book The Analysis of Biological Populations

Download or read book The Analysis of Biological Populations written by M.. Williamson and published by . This book was released on 1974 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Stage Structured Populations

    Book Details:
  • Author : Bryan Manly
  • Publisher : Springer Science & Business Media
  • Release : 2013-03-09
  • ISBN : 9400908431
  • Pages : 198 pages

Download or read book Stage Structured Populations written by Bryan Manly and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a review of methods for obtaining and analysing data from stage-structured biological populations. The topics covered are sam pling designs (Chapter 2), the estimation of parameters by maximum likelihood (Chapter 3), the analysis of sample counts of the numbers cif individuals in different stages at different times (Chapters 4 and 5), the analysis of data using Leslie matrix types of model (Chapter 6) and key factor analysis (Chapter 7). There is also some discussion of the approaches to modelling and estimation that have been used in five studies of particular populations (Chapter 8). There is a large literature on the modelling of biological populations, and a multitude of different approaches have been used in this area. The various approaches can be classified in different ways (Southwood, 1978, ch. 12), but for the purposes of this book it is convenient to think of the three categories mathematical, statistical and predictive modelling. Mathematical modelling is concerned largely with developing models that capture the most important qualitative features of population dynamics. In this case, the models that are developed do not have to be compared with data from natural populations. As representations of idealized systems, they can be quite informative in showing the effects of changing parameters, indicating what factors are most important in promoting stability, and so on.

Book Stability in Model Populations  MPB 31

Download or read book Stability in Model Populations MPB 31 written by Laurence D. Mueller and published by Princeton University Press. This book was released on 2020-03-31 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Throughout the twentieth century, biologists investigated the mechanisms that stabilize biological populations, populations which--if unchecked by such agencies as competition and predation--should grow geometrically. How is order in nature maintained in the face of the seemingly disorderly struggle for existence? In this book, Laurence Mueller and Amitabh Joshi examine current theories of population stability and show how recent laboratory research on model populations--particularly blowflies, Tribolium, and Drosophila--contributes to our understanding of population dynamics and the evolution of stability. The authors review the general theory of population stability and critically analyze techniques for inferring whether a given population is in balance or not. They then show how rigorous empirical research can reveal both the proximal causes of stability (how populations are regulated and maintained at an equilibrium, including the relative roles of biotic and abiotic factors) and its ultimate, mostly evolutionary causes. In the process, they describe experimental studies on model systems that address the effects of age-structure, inbreeding, resource levels, and population structure on the stability and persistence of populations. The discussion incorporates the authors' own findings on the evolution of population stability in Drosophila. They go on to relate laboratory work to studies of animals in the wild and to develop a general framework for relating the life history and ecology of a species to its population dynamics. This accessible, finely written illustration of how carefully designed experiments can improve theory will have tremendous value for all ecologists and evolutionary biologists.

Book Analytical Population Dynamics

Download or read book Analytical Population Dynamics written by T. Royama and published by . This book was released on 1996 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: