Mathematical Models and Environmental Change

Mathematical Models and Environmental Change
Title Mathematical Models and Environmental Change PDF eBook
Author Douglas J. Crookes
Publisher Routledge
Pages 96
Release 2021-11-19
Genre Business & Economics
ISBN 100053894X

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This book demonstrates how mathematical models constructed in system dynamics modelling platforms, such as Vensim, can be used for long-term management of environmental change. It is divided into two sections, with the first dedicated to theory, where the theory of co-evolutionary modelling and its use in the system dynamics model platform is developed. The book takes readers through the steps in the modelling process, different validation tools applicable to these types of models and different growth specification, as well as how to curve fit using numerical methods in Vensim. Section 2 comprises of a collection of applied case studies, including fisheries, game theory and wildlife management. The book concludes with lessons from the use of co-evolutionary models for long-term natural resource management. The book will be of great interest to students and scholars of environmental economics, natural resource management, system dynamics, ecological modelling and bioeconomics.

Mathematical Modeling in Economics, Ecology and the Environment

Mathematical Modeling in Economics, Ecology and the Environment
Title Mathematical Modeling in Economics, Ecology and the Environment PDF eBook
Author N.V. Hritonenko
Publisher Springer Science & Business Media
Pages 225
Release 2013-04-17
Genre Mathematics
ISBN 1441997334

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The problems of interrelation between human economics and natural environment include scientific, technical, economic, demographic, social, political and other aspects that are studied by scientists of many specialities. One of the important aspects in scientific study of environmental and ecological problems is the development of mathematical and computer tools for rational management of economics and environment. This book introduces a wide range of mathematical models in economics, ecology and environmental sciences to a general mathematical audience with no in-depth experience in this specific area. Areas covered are: controlled economic growth and technological development, world dynamics, environmental impact, resource extraction, air and water pollution propagation, ecological population dynamics and exploitation. A variety of known models are considered, from classical ones (Cobb Douglass production function, Leontief input-output analysis, Solow models of economic dynamics, Verhulst-Pearl and Lotka-Volterra models of population dynamics, and others) to the models of world dynamics and the models of water contamination propagation used after Chemobyl nuclear catastrophe. Special attention is given to modelling of hierarchical regional economic-ecological interaction and technological change in the context of environmental impact. Xlll XIV Construction of Mathematical Models ...

Introduction to Environmental Modeling

Introduction to Environmental Modeling
Title Introduction to Environmental Modeling PDF eBook
Author William G. Gray
Publisher Cambridge University Press
Pages 449
Release 2017
Genre Science
ISBN 1107571693

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This textbook presents the timeless basic physical and mathematical principles and philosophy of environmental modeling to students who need to be taught how to think in a different way than they would for more narrowly-defined engineering or physics problems. Examples come from a range of hydrologic, atmospheric, and geophysical problems.

Mathematical Modeling in the Environment

Mathematical Modeling in the Environment
Title Mathematical Modeling in the Environment PDF eBook
Author Charles R. Hadlock
Publisher Cambridge University Press
Pages 324
Release 1998
Genre Mathematics
ISBN 9780883857090

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This introduces some of the most important and widespread environmental issues with the emphasis throughout on fundamental principles and concepts.

Mathematical Models in Environmental Problems

Mathematical Models in Environmental Problems
Title Mathematical Models in Environmental Problems PDF eBook
Author G.I. Marchuk
Publisher Elsevier
Pages 221
Release 2011-08-18
Genre Science
ISBN 0080875378

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Mathematical Models in Environmental Problems

Discrete Mathematical Models, with Applications to Social, Biological, and Environmental Problems

Discrete Mathematical Models, with Applications to Social, Biological, and Environmental Problems
Title Discrete Mathematical Models, with Applications to Social, Biological, and Environmental Problems PDF eBook
Author Fred S. Roberts
Publisher Prentice Hall
Pages 584
Release 1976
Genre Mathematics
ISBN

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Mathematical models; Graphs; Applications of graphs; Weighted digraphs and pulse processes; Markov chains; n-Person games; Group decisionmaking; Measurement and utility; Index.

Adjoint Equations and Analysis of Complex Systems

Adjoint Equations and Analysis of Complex Systems
Title Adjoint Equations and Analysis of Complex Systems PDF eBook
Author Guri I. Marchuk
Publisher Springer Science & Business Media
Pages 475
Release 2013-06-29
Genre Computers
ISBN 9401706212

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New statements of problems arose recently demanding thorough ana lysis. Notice, first of all, the statements of problems using adjoint equations which gradually became part of our life. Adjoint equations are capable to bring fresh ideas to various problems of new technology based on linear and nonlinear processes. They became part of golden fund of science through quantum mechanics, theory of nuclear reactors, optimal control, and finally helped in solving many problems on the basis of perturbation method and sensitivity theory. To emphasize the important role of adjoint problems in science one should mention four-dimensional analysis problem and solution of inverse problems. This range of problems includes first of all problems of global climate changes on our planet, state of environment and protection of environ ment against pollution, preservation of the biosphere in conditions of vigorous growth of population, intensive development of industry, and many others. All this required complex study of large systems: interac tion between the atmosphere and oceans and continents in the theory of climate, cenoses in the biosphere affected by pollution of natural and anthropogenic origin. Problems of local and global perturbations and models sensitivity to input data join into common complex system.