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Introduction to Population Modeling

Introduction to Population Modeling
Author: J.C. Frauenthal
Publisher: Springer Science & Business Media
Total Pages: 195
Release: 2012-12-06
Genre: Mathematics
ISBN: 1468473220

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The text of this monograph represents the author's lecture notes from a course taught in the Department of Applied Mathematics and Statistics at the State University of New York at Stony Brook in the Spring of 1977. On account of its origin as lecture notes, some sections of the text are telegraphic in style while other portions are overly detailed. This stylistic foible has not been modified as it does not appear to detract seriously from the readability and it does help to indicate which topics were stressed. The audience for the course at Stony Brook was composed almost entirely of fourth year undergraduates majoring in the mathematical sciences. All of these students had studied at least four semesters of calculus and one of probability; few had any prior experience with either differential equations or ecology. It seems prudent to point out that the author's background is in engineering and applied mathematics and not in the biological sciences. It is hoped that this is not painfully obvious. -vii- The focus of the monograph is on the formulation and solution of mathematical models; it makes no pretense of being a text in ecology. The idea of a population is employed mainly as a pedagogic tool, providing unity and intuitive appeal to the varied mathematical ideas introduced. If the biological setting is stripped away, what remains can be interpreted as topics on the qualitative behavior of differential and difference equations.


Integrated Population Models

Integrated Population Models
Author: Michael Schaub
Publisher: Academic Press
Total Pages: 640
Release: 2021-11-12
Genre: Science
ISBN: 0128209151

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Integrated Population Models: Theory and Ecological Applications with R and JAGS is the first book on integrated population models, which constitute a powerful framework for combining multiple data sets from the population and the individual levels to estimate demographic parameters, and population size and trends. These models identify drivers of population dynamics and forecast the composition and trajectory of a population. Written by two population ecologists with expertise on integrated population modeling, this book provides a comprehensive synthesis of the relevant theory of integrated population models with an extensive overview of practical applications, using Bayesian methods by means of case studies. The book contains fully-documented, complete code for fitting all models in the free software, R and JAGS. It also includes all required code for pre- and post-model-fitting analysis. Integrated Population Models is an invaluable reference for researchers and practitioners involved in population analysis, and for graduate-level students in ecology, conservation biology, wildlife management, and related fields. The text is ideal for self-study and advanced graduate-level courses. Offers practical and accessible ecological applications of IPMs (integrated population models) Provides full documentation of analyzed code in the Bayesian framework Written and structured for an easy approach to the subject, especially for non-statisticians


Introduction to Population Pharmacokinetic / Pharmacodynamic Analysis with Nonlinear Mixed Effects Models

Introduction to Population Pharmacokinetic / Pharmacodynamic Analysis with Nonlinear Mixed Effects Models
Author: Joel S. Owen
Publisher: John Wiley & Sons
Total Pages: 0
Release: 2014-07-08
Genre: Medical
ISBN: 9780470582299

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This book provides a user-friendly, hands-on introduction to the Nonlinear Mixed Effects Modeling (NONMEM) system, the most powerful tool for pharmacokinetic / pharmacodynamic analysis. • Introduces requisite background to using Nonlinear Mixed Effects Modeling (NONMEM), covering data requirements, model building and evaluation, and quality control aspects • Provides examples of nonlinear modeling concepts and estimation basics with discussion on the model building process and applications of empirical Bayesian estimates in the drug development environment • Includes detailed chapters on data set structure, developing control streams for modeling and simulation, model applications, interpretation of NONMEM output and results, and quality control • Has datasets, programming code, and practice exercises with solutions, available on a supplementary website


An Introduction to Mathematical Population Dynamics

An Introduction to Mathematical Population Dynamics
Author: Mimmo Iannelli
Publisher: Springer
Total Pages: 346
Release: 2015-01-23
Genre: Mathematics
ISBN: 3319030264

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This book is an introduction to mathematical biology for students with no experience in biology, but who have some mathematical background. The work is focused on population dynamics and ecology, following a tradition that goes back to Lotka and Volterra, and includes a part devoted to the spread of infectious diseases, a field where mathematical modeling is extremely popular. These themes are used as the area where to understand different types of mathematical modeling and the possible meaning of qualitative agreement of modeling with data. The book also includes a collections of problems designed to approach more advanced questions. This material has been used in the courses at the University of Trento, directed at students in their fourth year of studies in Mathematics. It can also be used as a reference as it provides up-to-date developments in several areas.


Matrix Population Models

Matrix Population Models
Author: Hal Caswell
Publisher: Sinauer
Total Pages: 0
Release: 2006-05-10
Genre: Science
ISBN: 9780878931217

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This book provides a complete treatment of matrix population models and their applications in ecology and demography. It is written for graduate students and researchers in ecology, population biology, conservation biology and human demography.


Modelling Population Dynamics

Modelling Population Dynamics
Author: K. B. Newman
Publisher: Springer
Total Pages: 223
Release: 2014-07-16
Genre: Medical
ISBN: 1493909770

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This book gives a unifying framework for estimating the abundance of open populations: populations subject to births, deaths and movement, given imperfect measurements or samples of the populations. The focus is primarily on populations of vertebrates for which dynamics are typically modelled within the framework of an annual cycle, and for which stochastic variability in the demographic processes is usually modest. Discrete-time models are developed in which animals can be assigned to discrete states such as age class, gender, maturity, population (within a metapopulation), or species (for multi-species models). The book goes well beyond estimation of abundance, allowing inference on underlying population processes such as birth or recruitment, survival and movement. This requires the formulation and fitting of population dynamics models. The resulting fitted models yield both estimates of abundance and estimates of parameters characterizing the underlying processes.


Introduction to Population Ecology

Introduction to Population Ecology
Author: Larry L. Rockwood
Publisher: John Wiley & Sons
Total Pages: 384
Release: 2015-04-07
Genre: Science
ISBN: 111894755X

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Introduction to Population Ecology, 2ndEdition is a comprehensive textbook covering all aspectsof population ecology. It uses a wide variety of field andlaboratory examples, botanical to zoological, from the tropics tothe tundra, to illustrate the fundamental laws of populationecology. Controversies in population ecology are brought fully upto date in this edition, with many brand new and revised examplesand data. Each chapter provides an overview of how population theory hasdeveloped, followed by descriptions of laboratory and field studiesthat have been inspired by the theory. Topics explored includesingle-species population growth and self-limitation, lifehistories, metapopulations and a wide range of interspecificinteractions including competition, mutualism, parasite-host,predator-prey and plant-herbivore. An additional final chapter, newfor the second edition, considers multi-trophic and other complexinteractions among species. Throughout the book, the mathematics involved is explained with astep-by-step approach, and graphs and other visual aids are used to present a clear illustration of how themodels work. Such features make this an accessible introduction topopulation ecology; essential reading for undergraduate andgraduate students taking courses in population ecology, appliedecology, conservation ecology, and conservation biology, includingthose with little mathematical experience.


Stochastic Population Models

Stochastic Population Models
Author: James H. Matis
Publisher: Springer Science & Business Media
Total Pages: 215
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461212448

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The book focuses on stochastic modeling of population processes. The book presents new symbolic mathematical software to develop practical methodological tools for stochastic population modeling. The book assumes calculus and some knowledge of mathematical modeling, including the use of differential equations and matrix algebra.


Population Biology

Population Biology
Author: Alan Hastings
Publisher: Springer Science & Business Media
Total Pages: 228
Release: 2013-03-14
Genre: Science
ISBN: 1475727313

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Population biology has been investigated quantitatively for many decades, resulting in a rich body of scientific literature. Ecologists often avoid this literature, put off by its apparently formidable mathematics. This textbook provides an introduction to the biology and ecology of populations by emphasizing the roles of simple mathematical models in explaining the growth and behavior of populations. The author only assumes acquaintance with elementary calculus, and provides tutorial explanations where needed to develop mathematical concepts. Examples, problems, extensive marginal notes and numerous graphs enhance the book's value to students in classes ranging from population biology and population ecology to mathematical biology and mathematical ecology. The book will also be useful as a supplement to introductory courses in ecology.


Structured-Population Models in Marine, Terrestrial, and Freshwater Systems

Structured-Population Models in Marine, Terrestrial, and Freshwater Systems
Author: Shripad Tuljapurkar
Publisher: Springer Science & Business Media
Total Pages: 660
Release: 1997-01-31
Genre: Mathematics
ISBN: 9780412072710

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Providing many examples of how models can be implemented and interpreted, this book describes the biology of the life cycle and follows the transitions of individuals through stages in the life cycle. The focus is on models as tools.