Population Dynamics And The Tribolium Model Genetics And Demography PDF Download

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Population Dynamics and the Tribolium Model: Genetics and Demography

Population Dynamics and the Tribolium Model: Genetics and Demography
Author: Robert F. Costantino
Publisher: Springer Science & Business Media
Total Pages: 272
Release: 2012-12-06
Genre: Science
ISBN: 1461231701

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The study of populations is becoming increasingly focused on dynamics. We believe there are two reasons for this trend. The ftrst is the impactof nonlinear dynamics with its exciting ideas and colorful language: bifurcations, domains of attraction, chaos, fractals, strange attractors. Complexity, which is so very much a part of biology, now seems to be also a part of mathematics. A second trend is the accessibility of the new concepts. Thebarriers tocommunicationbetween theoristandexperimentalistseemless impenetrable. The active participationofthe experimentalist means that the theory will obtain substance. Our role is the application of the theory of dynamics to the analysis ofbiological populations. We began our work early in 1979 by writing an ordinary differential equation for the rateofchange in adult numbers which was based on an equilibrium model proposed adecadeearlier. Duringthenextfewmonths weftlledournotebookswithstraightforward deductions from the model and its associated biological implications. Slowly, some of the biological observations were explained and papers followed on a variety of topics: genetic and demographic stability, stationary probability distributions for population size,population growth asabirth-deathprocess, natural selectionanddensity-dependent population growth, genetic disequilibrium, and the stationary stochastic dynamics of adult numbers.


Population Growth: Observations and Models

Population Growth: Observations and Models
Author: Maxime Seveleu-Dubrovnik
Publisher: Vodary Paris
Total Pages: 117
Release: 2016-05-15
Genre: Business & Economics
ISBN: 2490771000

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Modeling as used in social science and in particular in de­mography, is a complicated process. Modeling population dynamics has traditionally been the central branch of mathematical biology, and counts more than 210 years of history, notwithstanding the recent expansion of this sci­ence's scope. The first principle of population dynamics is widely regarded as the exponential law of Malthus, as modeled by the Malthusian growth model. The early period was dominated by de­mographic studies such as the work of Benjamin Gompertz and Pierre François Verhulst in the early 19th century, who refined and adjusted the Malthusian demographic model. In this volume, dedicated to the 250th anniversary of Thomas R. Malthus, we publish seve­ral modern analyses that illustrate the honored place the Malthus's work occupies in the science of demographic modeling. Editors: Maxime Seveleu-Dubrovnik and William R. Nelson


Modeling Demographic Processes in Marked Populations

Modeling Demographic Processes in Marked Populations
Author: David L. Thomson
Publisher: Springer Science & Business Media
Total Pages: 1110
Release: 2008-12-11
Genre: Medical
ISBN: 038778151X

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Here, biologists and statisticians come together in an interdisciplinary synthesis with the aim of developing new methods to overcome the most significant challenges and constraints faced by quantitative biologists seeking to model demographic rates.


Sensitivity Analysis: Matrix Methods in Demography and Ecology

Sensitivity Analysis: Matrix Methods in Demography and Ecology
Author: Hal Caswell
Publisher: Springer
Total Pages: 308
Release: 2019-04-02
Genre: Social Science
ISBN: 3030105342

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This open access book shows how to use sensitivity analysis in demography. It presents new methods for individuals, cohorts, and populations, with applications to humans, other animals, and plants. The analyses are based on matrix formulations of age-classified, stage-classified, and multistate population models. Methods are presented for linear and nonlinear, deterministic and stochastic, and time-invariant and time-varying cases. Readers will discover results on the sensitivity of statistics of longevity, life disparity, occupancy times, the net reproductive rate, and statistics of Markov chain models in demography. They will also see applications of sensitivity analysis to population growth rates, stable population structures, reproductive value, equilibria under immigration and nonlinearity, and population cycles. Individual stochasticity is a theme throughout, with a focus that goes beyond expected values to include variances in demographic outcomes. The calculations are easily and accurately implemented in matrix-oriented programming languages such as Matlab or R. Sensitivity analysis will help readers create models to predict the effect of future changes, to evaluate policy effects, and to identify possible evolutionary responses to the environment. Complete with many examples of the application, the book will be of interest to researchers and graduate students in human demography and population biology. The material will also appeal to those in mathematical biology and applied mathematics.


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.


Human Population Dynamics

Human Population Dynamics
Author: Helen Macbeth
Publisher: Cambridge University Press
Total Pages: 242
Release: 2002-06-20
Genre: Science
ISBN: 9780521004688

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In human populations, biological, social, spatial, ecological and economic aspects of existence are inextricably linked, demanding a holistic approach to their study. Many undergraduate and postgraduate courses now emphasise the value of studying human populations using theoretical frameworks and methodologies from different traditional disciplines. Human Population Dynamics introduces such frameworks and methodologies whilst demonstrating how changes in human population structure can be addressed from several different academic perspectives. As such, the book contains contributions from world-renowned researchers in demography, social and biological anthropology, genetics, biology, sociology, ecology, history and human geography. In particular, the contributors emphasise the lability of many population structures and boundaries, as viewed from their area of expertise. This text is aimed at undergraduate students, graduates and academic researchers from any academic discipline which considers human populations.


An Introduction to Structured Population Dynamics

An Introduction to Structured Population Dynamics
Author: J. M. Cushing
Publisher: SIAM
Total Pages: 106
Release: 1998-01-01
Genre: Science
ISBN: 9781611970005

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Interest in the temporal fluctuations of biological populations can be traced to the dawn of civilization. How can mathematics be used to gain an understanding of population dynamics? This monograph introduces the theory of structured population dynamics and its applications, focusing on the asymptotic dynamics of deterministic models. This theory bridges the gap between the characteristics of individual organisms in a population and the dynamics of the total population as a whole. In this monograph, many applications that illustrate both the theory and a wide variety of biological issues are given, along with an interdisciplinary case study that illustrates the connection of models with the data and the experimental documentation of model predictions. The author also discusses the use of discrete and continuous models and presents a general modeling theory for structured population dynamics. Cushing begins with an obvious point: individuals in biological populations differ with regard to their physical and behavioral characteristics and therefore in the way they interact with their environment. Studying this point effectively requires the use of structured models. Specific examples cited throughout support the valuable use of structured models. Included among these are important applications chosen to illustrate both the mathematical theories and biological problems that have received attention in recent literature.


Advances in Dynamic Game Theory

Advances in Dynamic Game Theory
Author: Steffen Jorgensen
Publisher: Springer Science & Business Media
Total Pages: 718
Release: 2007-11-15
Genre: Mathematics
ISBN: 0817645535

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This collection of selected contributions gives an account of recent developments in dynamic game theory and its applications, covering both theoretical advances and new applications of dynamic games in such areas as pursuit-evasion games, ecology, and economics. Written by experts in their respective disciplines, the chapters include stochastic and differential games; dynamic games and their applications in various areas, such as ecology and economics; pursuit-evasion games; and evolutionary game theory and applications. The work will serve as a state-of-the art account of recent advances in dynamic game theory and its applications for researchers, practitioners, and advanced students in applied mathematics, mathematical finance, and engineering.


Chaos in Ecology

Chaos in Ecology
Author: J. M. Cushing
Publisher: Elsevier
Total Pages: 248
Release: 2003
Genre: Mathematics
ISBN: 9780121988760

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Chaos in Ecology is a convincing demonstration of chaos in a biological population. The book synthesizes an ecologically focused interdisciplinary blend of non-linear dynamics theory, statistics, and experimentation yielding results of uncommon clarity and rigor. Topics include fundamental issues that are of general and widespread importance to population biology and ecology. Detailed descriptions are included of the mathematical, statistical, and experimental steps they used to explore nonlinear dynamics in ecology. Beginning with a brief overview of chaos theory and its implications for ecology. The book continues by deriving and rigorously testing a mathematical model that is closely wedded to biological mechanisms of their research organism. Therefrom were generated a variety of predictions that are fundamental to chaos theory and experiments were designed and analyzed to test those predictions. Discussion of patterns in chaos and how they can be investigated using real data follows and book ends with a discussion of the salient lessons learned from this research program Book jacket.