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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.
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.
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.
A century of research on heterostylous plants has passed since the publication of Charles Darwin's book "The Different Forms of Flowers on Plants of the Same Species" in 1877 summarizing his extensive observations and experiments on these complex breeding systems involving genetic polymorphisms of floral sex organs. Since then heterostylous plants have provided a rich source of material for evolutionary biologists and today they represent one of the classic research paradigms for approaches to the study of evolution and adaptation. The present book is the first modern and comprehensive accont of the subject. In 10 chapters it is concerned with the evolution, genetics, development, morphology, and adaptive significance of heterostyly. Broad syntheses of research on heterostyly as well as new theoretical ideas and experimental data are included.
Insect Biodiversity: Science and Society brings togetherleading scientific experts to assess the impact insects have onhumankind and the earth’s fragile ecosystems. It examines whyinsect biodiversity matters and how the rapid evolution of insectspecies is affecting us all. Insects and related arthropods make up more than 50 percent ofthe known animal diversity globally, yet a lack of knowledge aboutinsects is hindering the advance of science and society. This bookexplores the wide variety in type and number of insect species andtheir evolutionary relationships. Case studies offer assessments onhow insect biodiversity can help meet the needs of a rapidlyexpanding human population, and also examine the consequences thatan increased loss of insect species will have on the world. The book concludes that a better understanding of the biologyand ecology of insects is the only way to sustainably manageecosystems in an ever changing global environment.
This book is concerned with the ways in which crops might be developed, or improved, for soils that are agriculturally unproductive because of excesses- high salinity and metal toxicity - and/or deficiencies of certain minerals. The aim is that those working to derive crops for growth on these problem soils should be aware of the many diverse avenues that areavailable. The methods discussed are conventional breeding, selection based on knowledge of the physiological basis of tolerance, the use of cell culture and cytogenetics, and the exploitation of native flora.
Rice is the most important food crop of the developing world and the demand for it is growing. Provided here is a concise account of hybrid breeding in rice, a newly deployed breeding approach to increase the yield. Research on heterosis, male sterility systems, outcrossing mechanisms, disease/insect management, and grain quality considerations in hybrid rice are reviewed. The book contains a wealth of useful information for practicing hybrid rice breeders, seed producers, researchers, and students of plant breeding.
This book shows the significant progress made in establishing the methodological basis for the genetic manipulation of forage and turf grasses, with particular emphasis on our most important temperate grasses, the fescues and ryegrasses. It provides detailed and beautifully illustrated descriptions of all relevant methodological aspects of molecular breeding of forage and turf grasses. The topics covered range from the establishment of plant regeneration systems from in vitro cultures, the recovery of haploids and somaclonal variants, the combination of whole or partial genomes by somatic hybridization, and the production of transgenic plants, to the development of molecular markers.
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.