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It is impossible to predict the exact behavior of all biological systems and how these same systems are exemplified by patterns of complexity and regularity. Decades of research in ecology have documented how these sorts of patterns are the consequences of deceptively simple rules that determine the nature of the patterns created. Chaos in Ecology will explain how simple beginnings result in complicated results.Chaos in Ecology is the inaugural volume of Theoretical Ecology Series. The authors of this volume have employed data from a proven model system in population dyn

Ecology --- Population biology --- Chaotic behavior in systems --- Nonlinear theories --- Mathematical models --- Chaotic behavior in systems. --- Nonlinear theories. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Dynamics --- System theory --- Mathematical models. --- Ecology - Mathematical models --- Population biology - Mathematical models

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Individual-based models are an exciting and widely used new tool for ecology. These computational models allow scientists to explore the mechanisms through which population and ecosystem ecology arises from how individuals interact with each other and their environment. This book provides the first in-depth treatment of individual-based modeling and its use to develop theoretical understanding of how ecological systems work, an approach the authors call "individual-based ecology.? Grimm and Railsback start with a general primer on modeling: how to design models that are as simple as possible while still allowing specific problems to be solved, and how to move efficiently through a cycle of pattern-oriented model design, implementation, and analysis. Next, they address the problems of theory and conceptual framework for individual-based ecology: What is "theory"? That is, how do we develop reusable models of how system dynamics arise from characteristics of individuals? What conceptual framework do we use when the classical differential equation framework no longer applies? An extensive review illustrates the ecological problems that have been addressed with individual-based models. The authors then identify how the mechanics of building and using individual-based models differ from those of traditional science, and provide guidance on formulating, programming, and analyzing models. This book will be helpful to ecologists interested in modeling, and to other scientists interested in agent-based modeling.

Biomathematics. Biometry. Biostatistics --- Human ecology. Social biology --- Population Dynamics --- Models, Theoretical --- Ecology --- Population biology --- Biotic communities --- Biologie des populations --- Mathematical models --- Modèles mathématiques --- Mathematical models. --- Modèles mathématiques --- Ecology. --- Models, Theoretical. --- Population Dynamics. --- Demographic Aging --- Demographic Transition --- Optimum Population --- Population Decrease --- Population Pressure --- Population Replacement --- Population Theory --- Residential Mobility --- Rural-Urban Migration --- Stable Population --- Stationary Population --- Malthusianism --- Neomalthusianism --- Aging, Demographic --- Decrease, Population --- Decreases, Population --- Demographic Transitions --- Dynamics, Population --- Migration, Rural-Urban --- Migrations, Rural-Urban --- Mobilities, Residential --- Mobility, Residential --- Optimum Populations --- Population Decreases --- Population Pressures --- Population Replacements --- Population Theories --- Population, Optimum --- Population, Stable --- Population, Stationary --- Populations, Optimum --- Populations, Stable --- Populations, Stationary --- Pressure, Population --- Pressures, Population --- Replacement, Population --- Replacements, Population --- Residential Mobilities --- Rural Urban Migration --- Rural-Urban Migrations --- Stable Populations --- Stationary Populations --- Theories, Population --- Theory, Population --- Transition, Demographic --- Transitions, Demographic --- Life History Traits --- Genetics, Population --- Experimental Model --- Experimental Models --- Mathematical Model --- Model, Experimental --- Models (Theoretical) --- Models, Experimental --- Models, Theoretic --- Theoretical Study --- Mathematical Models --- Model (Theoretical) --- Model, Mathematical --- Model, Theoretical --- Models, Mathematical --- Studies, Theoretical --- Study, Theoretical --- Theoretical Model --- Theoretical Models --- Theoretical Studies --- Computer Simulation --- Systems Theory --- Environmental Science --- Bionomics --- Ecologies --- Environmental Sciences --- Science, Environmental --- Sciences, Environmental --- Environmental Psychology --- Conservation of Natural Resources --- Environmental Health --- Ecosystem --- Balance of nature --- Biology --- Ecological processes --- Ecological science --- Ecological sciences --- Environment --- Environmental biology --- Oecology --- Environmental sciences --- Population biology - Mathematical models --- Biotic communities - Mathematical models