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I was greatly impressed by the variety of topics covered and by the depth in which they are discussed. ... The author's introduction to each topic is clear, and the book's overall organization makes it easily readable. ... I would recommend it to graduate students who want to conduct research in mathematical ecology or physics applied to spatial ecology problems. ... I also warmly recommend the book for nonlinear physicists, applied mathematicians, and theoretical ecologists working on cutting-edge environmental interdisciplinary problems. --Physics Today, October 2015 The approach taken by the author is simultaneously rigorous and relevant. ... This book easily reaches the objectives set for it by its author and is thus strongly recommended to its target audience. --Contemporary Physics, 2015 a masterful treatment of the topic of vegetation self-organization that is more than simply a synthesis of previous work-- it pushes the field ahead.... This book is essential reading for all ecologists, physicists, and mathematicians, both students and practitioners alike, interested in the topic of ecological pattern formation or pattern formation in general. -- SIAM Review (Aug 2016) ... a much-needed contemporary perspective ... unfolds the origin of coherency of spatial patterning in one of the most significant biological systems the human population depends on--arid and semiarid climates. --Gabriel G. Katul, Professor of Hydrology and Micrometeorology, Duke University The science of pattern formation reaches dazzling new heights as physicist Ehud Meron explains to us the nonlinear spatial dynamics of complex ecological systems. This is the definitive textbook on the subject as written by one of the key pioneers in the field. No other book comes close to showing the power of modern theoretical physics for solving real in-depth problems in ecology. Step by step, carefully formulated model equations are developed for dealing with advanced ecological topics, such as water-limited desert vegetation systems, soil-water diffusion, root-augmentation, plants as ecosystem engineers, reversing desertification, and species coexistence and diversity. ... a huge achievement. --Professor Lewi Stone, Biomathematics Unit, Tel Aviv University An important and timely book that shows the generality and power of the pattern formation paradigm and its wide applicability to diverse natural systems. --Stephen Morris, J. Tuzo Wilson Professor of Geophysics, University of Toronto An authoritative account of the state of the art in ecological patterning. --Jonathan A. Sherratt, Professor of Mathematics, Heriot-Watt University ... a major and unique contribution to the mathematics and physics of ecosystems. ... It should become a major reference. I am very pleased to endorse this book. --Roger Temam, Distinguished Professor, Institute for Scientific Computing and Applied Mathematics, Indiana University ... an excellent and important read on the rapidly emerging field of integrating pattern formation theory with spatial ecology, with real-world applications and implications. --Prof. dr. ir. M. Rietkerk, Utrecht University ... addresses a critical need and should quickly become a favorite of both beginning students and senior practitioners ... . --Herbert Levine, Hasselmann Professor of Bioengineering and Director of the Center for Theoretical Biological Physics, Rice University

... a much-needed contemporary perspective ... unfolds the origin of coherency of spatial patterning in one of the most significant biological systems the human population depends on-arid and semiarid climates. -Gabriel G. Katul, Professor of Hydrology and Micrometeorology, Duke University The science of pattern formation reaches dazzling new heights as physicist Ehud Meron explains to us the nonlinear spatial dynamics of complex ecological systems. This is the definitive textbook on the subject as written by one of the key pioneers in the field. No other book comes close to showing the power of modern theoretical physics for solving real in-depth problems in ecology. Step by step, carefully formulated model equations are developed for dealing with advanced ecological topics, such as water-limited desert vegetation systems, soil-water diffusion, root-augmentation, plants as ecosystem engineers, reversing desertification, and species coexistence and diversity. ... a huge achievement. -Professor Lewi Stone, Biomathematics Unit, Tel Aviv University An important and timely book that shows the generality and power of the pattern formation paradigm and its wide applicability to diverse natural systems. -Stephen Morris, J. Tuzo Wilson Professor of Geophysics, University of Toronto An authoritative account of the state of the art in ecological patterning. -Jonathan A. Sherratt, Professor of Mathematics, Heriot-Watt University ... a major and unique contribution to the mathematics and physics of ecosystems. ... It should become a major reference. I am very pleased to endorse this book. -Roger Temam, Distinguished Professor, Institute for Scientific Computing and Applied Mathematics, Indiana University ... an excellent and important read on the rapidly emerging field of integrating pattern formation theory with spatial ecology, with real-world applications and implications. -Prof. dr. ir. M. Rietkerk, Utrecht University ... addresses a critical need and should quickly become a favorite of both beginning students and senior practitioners ... . -Herbert Levine, Hasselmann Professor of Bioengineering and Director of the Center for Theoretical Biological Physics, Rice University

I was greatly impressed by the variety of topics covered and by the depth in which they are discussed. ... The author's introduction to each topic is clear, and the book's overall organization makes it easily readable. ... I would recommend it to graduate students who want to conduct research in mathematical ecology or physics applied to spatial ecology problems. ... I also warmly recommend the book for nonlinear physicists, applied mathematicians, and theoretical ecologists working on cutting-edge environmental interdisciplinary problems. -Physics Today, October 2015 The approach taken by the author is simultaneously rigorous and relevant. ... This book easily reaches the objectives set for it by its author and is thus strongly recommended to its target audience. -Contemporary Physics, 2015 a masterful treatment of the topic of vegetation self-organization that is more than simply a synthesis of previous work- it pushes the field ahead.... This book is essential reading for all ecologists, physicists, and mathematicians, both students and practitioners alike, interested in the topic of ecological pattern formation or pattern formation in general. - SIAM Review (Aug 2016) ... a much-needed contemporary perspective ... unfolds the origin of coherency of spatial patterning in one of the most significant biological systems the human population depends on-arid and semiarid climates. -Gabriel G. Katul, Professor of Hydrology and Micrometeorology, Duke University The science of pattern formation reaches dazzling new heights as physicist Ehud Meron explains to us the nonlinear spatial dynamics of complex ecological systems. This is the definitive textbook on the subject as written by one of the key pioneers in the field. No other book comes close to showing the power of modern theoretical physics for solving real in-depth problems in ecology. Step by step, carefully formulated model equations are developed for dealing with advanced ecological topics, such as water-limited desert vegetation systems, soil-water diffusion, root-augmentation, plants as ecosystem engineers, reversing desertification, and species coexistence and diversity. ... a huge achievement. -Professor Lewi Stone, Biomathematics Unit, Tel Aviv University An important and timely book that shows the generality and power of the pattern formation paradigm and its wide applicability to diverse natural systems. -Stephen Morris, J. Tuzo Wilson Professor of Geophysics, University of Toronto An authoritative account of the state of the art in ecological patterning. -Jonathan A. Sherratt, Professor of Mathematics, Heriot-Watt University ... a major and unique contribution to the mathematics and physics of ecosystems. ... It should become a major reference. I am very pleased to endorse this book. -Roger Temam, Distinguished Professor, Institute for Scientific Computing and Applied Mathematics, Indiana University ... an excellent and important read on the rapidly emerging field of integrating pattern formation theory with spatial ecology, with real-world applications and implications. -Prof. dr. ir. M. Rietkerk, Utrecht University ... addresses a critical need and should quickly become a favorite of both beginning students and senior practitioners ... . -Herbert Levine, Hasselmann Professor of Bioengineering and Director of the Center for Theoretical Biological Physics, Rice University

I was greatly impressed by the variety of topics covered and by the depth in which they are discussed. ... The author's introduction to each topic is clear, and the book's overall organization makes it easily readable. ... I would recommend it to graduate students who want to conduct research in mathematical ecology or physics applied to spatial ecology problems. ... I also warmly recommend the book for nonlinear physicists, applied mathematicians, and theoretical ecologists working on cutting-edge environmental interdisciplinary problems. -Physics Today, October 2015 The approach taken by the author is simultaneously rigorous and relevant. ... This book easily reaches the objectives set for it by its author and is thus strongly recommended to its target audience. -Contemporary Physics, 2015 a masterful treatment of the topic of vegetation self-organization that is more than simply a synthesis of previous work- it pushes the field ahead... This book is essential reading for all ecologists, physicists, and mathematicians, both students and practitioners alike, interested in the topic of ecological pattern formation or pattern formation in general. - SIAM Review (Aug 2016) ... a much-needed contemporary perspective ... unfolds the origin of coherency of spatial patterning in one of the most significant biological systems the human population depends on-arid and semiarid climates. -Gabriel G. Katul, Professor of Hydrology and Micrometeorology, Duke University The science of pattern formation reaches dazzling new heights as physicist Ehud Meron explains to us the nonlinear spatial dynamics of complex ecological systems. This is the definitive textbook on the subject as written by one of the key pioneers in the field. No other book comes close to showing the power of modern theoretical physics for solving real in-depth problems in ecology. Step by step, carefully formulated model equations are developed for dealing with advanced ecological topics, such as water-limited desert vegetation systems, soil-water diffusion, root-augmentation, plants as ecosystem engineers, reversing desertification, and species coexistence and diversity. ... a huge achievement. -Professor Lewi Stone, Biomathematics Unit, Tel Aviv University An important and timely book that shows the generality and power of the pattern formation paradigm and its wide applicability to diverse natural systems. -Stephen Morris, J. Tuzo Wilson Professor of Geophysics, University of Toronto An authoritative account of the state of the art in ecological patterning. -Jonathan A. Sherratt, Professor of Mathematics, Heriot-Watt University ... a major and unique contribution to the mathematics and physics of ecosystems. ... It should become a major reference. I am very pleased to endorse this book. -Roger Temam, Distinguished Professor, Institute for Scientific Computing and Applied Mathematics, Indiana University ... an excellent and important read on the rapidly emerging field of integrating pattern formation theory with spatial ecology, with real-world applications and implications. -Prof. dr. ir. M. Rietkerk, Utrecht University ... addresses a critical need and should quickly become a favorite of both beginning students and senior practitioners ... . -Herbert Levine, Hasselmann Professor of Bioengineering and Director of the Center for Theoretical Biological Physics, Rice University

Author Information

Ehud Meron is a professor of physics in the Blaustein Institutes for Desert Research and the Physics Department at Ben-Gurion University of the Negev. His research interests include nonlinear dynamics and pattern formation theory with applications to fluid dynamics and chemical reactions, modeling complex systems, and spatial ecology with a focus on desertification and biodiversity dynamics. Professor Meron’s recent work has involved collaborating with ecologists in an effort to assimilate the concepts of pattern-formation theory into ecological research.

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