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Applied Mathematical Demography (Statistics for Biology and Health)
Nathan Keyfitz , and Hal Caswell Manufacturer: Springer ProductGroup: Book Binding: Hardcover Similar Items:
Accessories:
ASIN: 0387225374 |
Book Description
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.
From the reviews:
"If you found the original editions...to be excellent (and who amoung us has not?) then you will find the new edition to be equally so...This book is highly and unreservedly recommended for any beginning mathematical demographer." Mathematical Population Studies, 12:223-228, 2005
"The material in the second edition is retained, although the chapters are reorganized and references are updated. New chapters focusing on matrix population models are seamlessly interwoven with the second edition chapters, resulting in a thorough and comprehensive treatment of human, animal, and nonhuman demography." Journal of the American Statistical Association, December 2005
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Applied Latent Class Analysis
Manufacturer: Cambridge University Press ProductGroup: Book Binding: Hardcover Similar Items:
ASIN: 0521594510 |
Book Description
This study introduces several recent innovations in latent class analysis to a wider audience of researchers. Many of the world's leading innovators in the field of latent class analysis have contributed essays to the volume, each presenting a key innovation to the basic LCM and illustrating how it can prove useful in situations typically encountered in actual research.Download Description
Applied Latent Class Analysis presents new techniques for the analysis of categorical data - one of the fastest growing areas in applied statistics. These techniques handle data where one cannot compute meaningful averages (for example, nation of origin, religion, type of disease, political party identification). The essays, written by leading figures in the field, introduce innovative approaches to these data and illustrate practical applications.
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Dynamic Population Models (The Springer Series on Demographic Methods and Population Analysis)
Robert Schoen Manufacturer: Springer ProductGroup: Book Binding: Hardcover ASIN: 1402052294 |
Book Description
Dynamic Population Models is the first book to comprehensively discuss and synthesize the emerging field of dynamic modeling, i.e. the analysis and application of population models that have changing vital rates. Incorporating the latest research, it includes thorough discussions of population growth and momentum under gradual fertility declines, the impact of changes in the timing of events on fertility measures, and the complex relationship between period and cohort measures. Recently developed models for the analysis of changing mortality are examined, and generalizations of Lotka’s fixed rate stable population model are developed and applied.
The book is well organized and clearly written so that it is accessible to those with only a minimal knowledge of calculus. It begins with a review of fixed rate population models, from the basic life table to multistate stable populations. The process of convergence to stability is described, and the regularities underlying change in the size and composition of any population are explored. Techniques for estimating rates from multistate population distributions are presented, and new multi-age, multistate dynamic models are developed. Building on the logical closure of demographic models and the close relationship between population stocks and flows, the book sets forth the latest approaches for capturing population change in a world experiencing profound demographic transformations.
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Analysis of Survival Data (Monographs on Statistics and Applied Probability)
D.R. Cox , and David Oakes Manufacturer: Chapman & Hall/CRC ProductGroup: Book Binding: Hardcover Similar Items:
ASIN: 041224490X |
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Mathematics in Population Biology (Princeton Series in Theoretical and Computational Biology)
Horst R. Thieme Manufacturer: Princeton University Press ProductGroup: Book Binding: Paperback Similar Items:
ASIN: 0691092915 |
Book Description
The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologists alike. This book presents an overview and selected sample of these results and ideas, organized by biological theme rather than mathematical concept, with an emphasis on helping the reader develop appropriate modeling skills through use of well-chosen and varied examples.
Part I starts with unstructured single species population models, particularly in the framework of continuous time models, then adding the most rudimentary stage structure with variable stage duration. The theme of stage structure in an age-dependent context is developed in Part II, covering demographic concepts, such as life expectation and variance of life length, and their dynamic consequences. In Part III, the author considers the dynamic interplay of host and parasite populations, i.e., the epidemics and endemics of infectious diseases. The theme of stage structure continues here in the analysis of different stages of infection and of age-structure that is instrumental in optimizing vaccination strategies.
Each section concludes with exercises, some with solutions, and suggestions for further study. The level of mathematics is relatively modest; a "toolbox" provides a summary of required results in differential equations, integration, and integral equations. In addition, a selection of Maple worksheets is provided.
The book provides an authoritative tour through a dazzling ensemble of topics and is both an ideal introduction to the subject and reference for researchers.
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Primer of Ecology
Nicholas J. Gotelli Manufacturer: Sinauer Assoc Inc ProductGroup: Book Binding: Paperback Similar Items:
ASIN: 0878932704 |
Book Description
A Primer of Ecology, Third Edition, presents a concise but detailed exposition of the most common mathematical models in population and community ecology. It is intended to demystify ecological models and the mathematics behind them by deriving the models from first principles. The book may be used as a self-teaching tutorial by students, as a primary textbook, or as a supplemental text to a general ecology textbook.The Primer explains in detail basic concepts of exponential and logistic population growth, age-structured demography, metapopulation dynamics, competition, predation, island biogeography, and, in a chapter new to this edition, succession. Each chapter is carefully graded from simple material that is appropriate for beginning undergraduates to advanced material, which is suited for upper-division undergraduates and beginning graduate students. Advanced topics include environmental and demographic stochasticity, discrete population growth and chaos, stage-structured demography, intraguild predation, nonlinear predator-prey isoclines, and passive sampling. Each chapter follows the same structure: model presentation and predictions, model assumptions, model variations, empirical examples, and problems.
Essential equations are highlighted for students' use. Intermediate algebraic "expressions" are also illustrated so that students see where the equations came from. New terms are introduced in the text in boldface type to alert students to novel concepts. The Primer contains more mathematical detail than many ecology textbooks, but avoids jargon and mathematical terminology that can intimidate students. Both simple and advanced problems are included, followed by fully worked solutions so that students can gain confidence and a better understanding of the models. Citations are kept to a minimum.
Customer Reviews:
Amazon purchase review.......2005-10-25
Excelent book.......2005-10-12
Great book for beginners and advanced........2005-09-24
Easily one of the best on the topic.......2003-06-23
Dr. Gotelli's book is the most successful which I am familiar at "demystifying" the mathematical concepts in ecology. "A primer of ecology" is very well organized and written so as not to frighten off the uninitiated, but covers the mathematics well enough to be an adequate refresher for those that have slipped in some areas. The inclusion of ecological succession in the 3rd edition is an important addition and not merely a reason to put out a new version. I highly recommend this text to anyone who is interested in learning about ecological study, and I think it would make an excellent senior undergraduate or supplemental graduate text.
Easy to understand, but simplifies a little too much.......2002-05-11
All in all a really good book to buy to keep your feet on the ground when learning
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Population Parameters: Estimation for Ecological Models (Methods in Ecology)
Hamish McCallum Manufacturer: Blackwell Publishing Limited ProductGroup: Book Binding: Paperback ASIN: 0865427402 |
Book Description
Ecologists and environmental managers rely on mathematical models, both to understand ecological systems and to predict future system behaviour. In turn, models rely on appropriate estimates of their parameters.This book brings together a diverse and scattered literature, to provide clear guidance on how to estimate parameters for models of animal populations. It is not a recipe book of statistical procedures. Instead, it concentrates on how to select the best approach to parameter estimation for a particular problem, and how to ensure that the quality estimated is the appropriate one for the specific purpose of the modeling exercise.
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Mathematica Laboratories for Mathematical Statistics: Emphasizing Simulation and Computer Intensive Methods (ASA-SIAM Series on Statistics and Applied Probability)
Jenny A. Baglivo Manufacturer: Society for Industrial and Applied Mathematic ProductGroup: Book Binding: Paperback Similar Items:
ASIN: 0898715660 |
Book Description
Integrating computers into mathematical statistics courses allows students to simulate experiments and visualize their results, handle larger data sets, analyze data more quickly, and compare the results of classical methods of data analysis with those using alternative techniques. This text presents a concise introduction to the concepts of probability theory and mathematical statistics. The accompanying in-class and take-home computer laboratory activities reinforce the techniques introduced in the text and are accessible to students with little or no experience with Mathematica. These laboratory materials present applications in a variety of real-world settings, with data from epidemiology, environmental sciences, medicine, social sciences, physical sciences, manufacturing, engineering, marketing, and sports. Included in the book are parametric, nonparametric, permutation, bootstrap and diagnostic methods. Permutation and bootstrap methods are discussed side by side with classical methods in the later chapters. Includes a CD-ROM with 238 laboratory problems written as Mathematica notebooks.
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Gender-structured Population Modeling: Mathematical Methods, Numerics, and Simulations (Frontiers in Applied Mathematics)
M. Ianelli , M. Martcheva , and F.A. Milner Manufacturer: SIAM: Society for Industrial and Applied Mathematics ProductGroup: Book Binding: Paperback ASIN: 0898715776 |
Book Description
Gender-Structured Population Modeling: Mathematical Methods, Numerics, and Simulations gives a unified presentation of, and mathematical framework for, modeling population growth by couple formation. It provides an overview of both past and present modeling results. The book provides results on model analysis, gives an up-to-date review of mathematical demography, discusses numerical methods, and puts deterministic modeling of human populations into historical perspective. The authors describe several models and derive the theoretical results that demonstrate the validity of these models. The numerical methods for approximating the solutions of the differential models - the equivalent of creating discrete simulators - are delineated. Simulation results are compared with actual demographic data to show some of the difficulties concerning the availability of data and to show that mathematical demography provides reasonable qualitative and quantitative estimates. The models in this book can be applied to different sets of data.
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Introduction to Applied Bayesian Statistics and Estimation for Social Scientists (Statistics for Social and Behavioral Sciences)
Scott M. Lynch Manufacturer: Springer ProductGroup: Book Binding: Hardcover Similar Items:
ASIN: 038771264X |
Book Description
"Introduction to Applied Bayesian Statistics and Estimation for Social Scientists" covers the complete process of Bayesian statistical analysis in great detail from the development of a model through the process of making statistical inference. The key feature of this book is that it covers models that are most commonly used in social science research - including the linear regression model, generalized linear models, hierarchical models, and multivariate regression models - and it thoroughly develops each real-data example in painstaking detail.
The first part of the book provides a detailed introduction to mathematical statistics and the Bayesian approach to statistics, as well as a thorough explanation of the rationale for using simulation methods to construct summaries of posterior distributions. Markov chain Monte Carlo (MCMC) methods - including the Gibbs sampler and the Metropolis-Hastings algorithm - are then introduced as general methods for simulating samples from distributions. Extensive discussion of programming MCMC algorithms, monitoring their performance, and improving them is provided before turning to the larger examples involving real social science models and data.
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