Bai-Lian Li - Böcker

Much of our current knowledge on biological invasion was derived from field studies, but many recent advances relied heavily on mathematics and computing, particularly mathematical modeling. While numerical simulations are clearly a useful approach, they have some serious drawbacks. Approximations errors and the number of parameter values can have a significant impact on the simulation results, the extent of which often remains obscure. Such difficulties do not arise, however, when the problem can be solved analytically.Exactly Solvable Models of Biological Invasion demonstrates the advantages and methods of obtaining exact solutions of partial differential equations that describe nonlinear problems encountered in the study of invasive species spread. With emphasis on PDEs of diffusion-reaction type, the authors present a comprehensive collection of exactly solvable models and a unified, self-contained description of the relevant mathematical methods. In doing so, they also provide new insight into important issues such as the impact of the Allee effect, the impact of predation, and the interplay between different modes of species dispersal. Full calculation details make this presentation accessible to biologists as well as applied mathematicians, and a range of ecological examples and applications demonstrate the utility of exact methods in practice.Exact solutions provide an immediate, complete description of system dynamics for a wide class of initial conditions and serve as a convenient tool for testing numerical algorithms and codes used in more specialized studies. This book lays the groundwork for bringing the power of exactly solvable models to bear on real-world ecological problems.

The assessment of land use and land cover is an important activity for cont- porary land management. Human land-use practices are the most significant factors influencing environmental management at local, regional, national, and global scales. In the past, environmental policies have often reflected a reactive response to environmental perturbations with management efforts focused on short-term, local-scale problems such as pollutant abatement. Currently, environmental management philosophy is evolving toward examination of critical environmental problems over larger spatial scales and assessment of the cumulative risk resulting from multiple problem sources. Today’s environmental managers, urban planners, and decision-makers are increasingly expected to examine environmental and economic problems in a larger geographic context that crosses national boundaries and scientific disciplines. Secondly, cont- porary policy-makers have also been challenged on how they view security. The conventional definition of national security has been expanded to include environmental threats resulting from resource scarcity and overpopulation and it is recognized that environmental factors may have an impact in creating conflict and world instability. Thus the working definition of security has been broadened beyond relying on militaristic aspects alone and has evolved to include the environment. In 1969, the North Atlantic Treaty Organization (NATO) established the Committee on the Challenges of Modern Society (CCMS) partly in response to examine the link between environmental issues and security. CCMS was created for the purpose of addressing problems affecting the environment of the member nations and the quality of life of their citizens.

The assessment of land use and land cover is an important activity for cont- porary land management. Human land-use practices are the most significant factors influencing environmental management at local, regional, national, and global scales. In the past, environmental policies have often reflected a reactive response to environmental perturbations with management efforts focused on short-term, local-scale problems such as pollutant abatement. Currently, environmental management philosophy is evolving toward examination of critical environmental problems over larger spatial scales and assessment of the cumulative risk resulting from multiple problem sources. Today’s environmental managers, urban planners, and decision-makers are increasingly expected to examine environmental and economic problems in a larger geographic context that crosses national boundaries and scientific disciplines. Secondly, cont- porary policy-makers have also been challenged on how they view security. The conventional definition of national security has been expanded to include environmental threats resulting from resource scarcity and overpopulation and it is recognized that environmental factors may have an impact in creating conflict and world instability. Thus the working definition of security has been broadened beyond relying on militaristic aspects alone and has evolved to include the environment. In 1969, the North Atlantic Treaty Organization (NATO) established the Committee on the Challenges of Modern Society (CCMS) partly in response to examine the link between environmental issues and security. CCMS was created for the purpose of addressing problems affecting the environment of the member nations and the quality of life of their citizens.