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In the summer of 1993, twenty-six graduate and postdoctoral stu dents and fourteen lecturers converged on Cornell University for a summer school devoted to structured-population models. This school was one of a series to address concepts cutting across the traditional boundaries separating terrestrial, marine, and freshwa ter ecology. Earlier schools resulted in the books Patch Dynamics (S. A. Levin, T. M. Powell & J. H. Steele, eds., Springer-Verlag, Berlin, 1993) and Ecological Time Series (T. M. Powell & J. H. Steele, eds., Chapman and Hall, New York, 1995); a book on food webs is in preparation. Models of population structure (differences among individuals due to age, size, developmental stage, spatial location, or genotype) have an important place in studies of all three kinds of ecosystem. In choosing the participants and lecturers for the school, we se lected for diversity-biologists who knew some mathematics and mathematicians who knew some biology, field biologists sobered by encounters with messy data and theoreticians intoxicated by the elegance of the underlying mathematics, people concerned with long-term evolutionary problems and people concerned with the acute crises of conservation biology. For four weeks, these perspec tives swirled in discussions that started in the lecture hall and carried on into the sweltering Ithaca night. Diversity mayor may not increase stability, but it surely makes things interesting.
List of contents
I Theory and Methods.- 1 Structured-Population Models: Many Methods, a Few Basic Concepts.- 2 Matrix Methods for Population Analysis.- 3 Stochastic Matrix Models.- 4 Delay-Differential Equations for Structured Populations.- 5 A Gentle Introduction to Physiologically Structured Population Models.- 6 Nonlinear Matrix Equations and Population Dynamics.- II Applications.- 7 The Relative "Importance" of Life-History Stages to Population Growth: Prospective and Retrospective Analyses.- 8 Life-History Evolution and Extinction.- 9 Population Dynamics of Tribolium.- 10 Evolutionary Dynamics of Structured Populations.- 11 The Effect of Overlapping Generations and Population Structure on Gene-Frequency Clines.- 12 Dynamics of Populations with Density-Dependent Recruitment and Age Structure.- 13 Models for Marine Ecosystems.- 14 Frequency Response of a Simple Food-Chain Model with Time-Delayed Recruitment: Implications for Abiotic-Biotic Coupling.- 15 Stochastic Demography for Conservation Biology.- 16 Sensitivity Analysis of Structured-Population Models for Management and Conservation.- 17 Nonlinear Ergodic Theorems and Symmetric versus Asymmetric Competition.- 18 The Evolution of Age-Structured Marriage Functions: It Takes Two to Tango.- 19 Inverse Problems and Structured-Population Dynamics.- 20 Nonlinear Models of Structured Populations: Dynamic Consequences of Stage Structure and Discrete Sampling.- 21 Multispecies Lottery Competition: A Diffusion Analysis.- About the Authors.
Summary
Provides a treatment of the construction and analysis of models for age- and stage-classified populations. This book covers methods based on projection matrices, delay-differential equations, and partial-differential equations.
