Mathematical Modeling in Economics, Ecology and the Environment PDF Download
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Author: N.V. Hritonenko Publisher: Springer Science & Business Media ISBN: 1441997334 Category : Mathematics Languages : en Pages : 225
Book Description
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 ...
Author: N.V. Hritonenko Publisher: Springer Science & Business Media ISBN: 1441997334 Category : Mathematics Languages : en Pages : 225
Book Description
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 ...
Author: Charles R. Hadlock Publisher: Cambridge University Press ISBN: 9780883857090 Category : Mathematics Languages : en Pages : 324
Book Description
This introduces some of the most important and widespread environmental issues with the emphasis throughout on fundamental principles and concepts.
Author: Douglas J. Crookes Publisher: Routledge ISBN: 100053894X Category : Business & Economics Languages : en Pages : 96
Book Description
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.
Author: Allen R. Overman Publisher: CRC Press ISBN: 0824743598 Category : Technology & Engineering Languages : en Pages : 341
Book Description
Highlighting effective, analytical functions that have been found useful for the comparison of alternative management techniques to maximize water and nutrient resources, this reference describes the application of viable mathematical models in data analysis to increase crop growth and yields. Featuring solutions to various differential equations, the book covers the characteristics of the functions related to the phenomenological growth model. Including more than 1300 literature citations, display equations, tables, and figures and outlining an approach to mathematical crop modeling, Mathematical Models of Crop Growth and Yield will prove an invaluable resource.
Author: A.L. Koch Publisher: Springer Science & Business Media ISBN: 146154078X Category : Mathematics Languages : en Pages : 285
Book Description
From the Chapman & Hall Microbiology Series this unique resource offers specific experimental and practical applications of mathematical modeling in microbial ecology. The text presents a variety of systems, ranging from subcellular systems to ecosystems, and shows how to test whether the models provide a good representation of the system. The book also encourages further development and application of modeling to burgeoning problems associated with microbial ecology, such as the pollution and destruction of pesticides and herbicides.
Author: Roger J. Hosking Publisher: Springer Science & Business Media ISBN: 376438591X Category : Mathematics Languages : en Pages : 373
Book Description
The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.
Author: Edward A. Bender Publisher: Courier Corporation ISBN: 0486137120 Category : Mathematics Languages : en Pages : 273
Book Description
Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The lively and accessible text requires only minimal scientific background. Designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach. Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications.
Author: Edward Gillman Publisher: CABI ISBN: 1786393107 Category : Science Languages : en Pages : 281
Book Description
This short textbook introduces students to the concept of describing natural systems using mathematical models. We highlight the variety of ways in which natural systems lend themselves to mathematical description and the importance of models in revealing fundamental processes. The process of science via the building, testing and use of models (theories) is described and forms the structure of the book. The book covers a broad range from the molecular to ecosystems and whole-Earth phenomena. Themes running through the chapters include scale (temporal and spatial), change (linear and nonlinear), emergent phenomena and uncertainty. Mathematical descriptions are kept to a minimum and we illustrate mechanisms and results in graphical form wherever possible. Essential mathematical details are described fully, with the use of boxes. The mathematics supports but does not lead the text.
Author: John B. Little Publisher: American Mathematical Soc. ISBN: 1470448696 Category : Mathematics Languages : en Pages : 342
Book Description
Can we coexist with the other life forms that have evolved on this planet? Are there realistic alternatives to fossil fuels that would sustainably provide for human society's energy needs and have fewer harmful effects? How do we deal with threats such as emergent diseases? Mathematical models—equations of various sorts capturing relationships between variables involved in a complex situation—are fundamental for understanding the potential consequences of choices we make. Extracting insights from the vast amounts of data we are able to collect requires analysis methods and statistical reasoning. This book on elementary topics in mathematical modeling and data analysis is intended for an undergraduate “liberal arts mathematics”-type course but with a specific focus on environmental applications. It is suitable for introductory courses with no prerequisites beyond high school mathematics. A great variety of exercises extends the discussions of the main text to new situations and/or introduces new real-world examples. Every chapter ends with a section of problems, as well as with an extended chapter project which often involves substantial computing work either in spreadsheet software or in the R statistical package.
Author: Greg Langkamp Publisher: Pearson ISBN: Category : Mathematics Languages : en Pages : 374
Book Description
An introductory quantitative math book with an environmental theme. The emphasis of this text is on analyzing real environmental information and problems, using mathematics accessible to students with an intermediate algebra background. Students using this text will develop mathematical (and environmental) literacy as they model natural processes using algebraic, graphical and numerical methods, and analyze data quantitatively to assist in objective decision making. The textbook is comprised of 4 principal sections: (1) basic numeracy; (2) function modeling; (3) difference equation modeling, ∧ (4) elementary statistics. Furthermore, this textbook combines both a reform and traditional approach. Traditional in that each chapter presents introductory material, worked examples, multiple student problems, and solutions to odd exercises. It is reform in that it investigates material through a synthesis of algebraic, graphical, numerical and verbal approaches.
Author: N.V. Hritonenko
Author: N.V. Hritonenko
Author: Charles R. Hadlock
Author: Douglas J. Crookes
Author: Allen R. Overman
Author: A.L. Koch
Author: Roger J. Hosking
Author: Edward A. Bender
Author: Edward Gillman
Author: John B. Little
Author: Greg Langkamp