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This book presents current meta-ecosystem models and their derivation from classical ecosystem and metapopulation theories. Specifically, it reviews recent modelling efforts that have emphasized the role of nonlinear dynamics on spatial and food web networks, and which have cast their implications within the context of spatial synchrony and ecological stoichiometry. It suggests that these recent advances naturally lead to a generalization of meta-ecosystem theories to spatial fluxes of matter that have both a trophic and non-trophic impact on species. Ecosystem dynamics refers to the cycling of matter and energy across ecological compartments through processes such as consumption and recycling. Spatial dynamics established its ecological roots with metapopulation theories and focuses on scaling up local ecological processes through the limited movement of individuals and matter. Over the last 15 years, theories integrating ecosystem and spatial dynamics have quickly coalesced into meta-ecosystem theories, the focus of this book. The book will be of interest to graduate students and researchers who wish to learn more about the synthesis of ecosystem and spatial dynamics, which form the foundation of the theory of meta-ecosystems.

The general aim of this book is to explain the development of several types of models using an extremely small number of parameters in an attempt to find consistent properties of integral living matter within aquatic ecosystems. Starting from a minimal model of the whole study [i.e. the ideal minimal ecosystem (IMES)], the authors developed a series of statistical models (size spectra, rank distribution, and regression models, including allometries). They then proceeded from ataxonomic to taxonomic size spectra to demonstrate and explain the high consistency of natural communities. Several types of species size-frequency distributions or “taxonomic size spectra” were applied, diminishing the importance of rare species and the assemblage time-space heterogeneity. A series of original studies written during the last thirty years to develop condensed, formalized models and empirical comparisons has demonstrated general patterns and the model's drawbacks; hence, several cycles of modernization were fulfilled, revealing both the stability of natural aquatic communities and small-scale variability of the general pattern. Comparisons of several taxonomic hierarchy levels speak in favor of the whole-assemblage origin of the statistical mechanisms, supporting the long-term consistency of phytoplankton taxonomic size structure. Specific changes in the taxonomic size spectrum fine structure were evident and may be helpful for diagnostics, while the spectrum general pattern consistency can be helpful for monitoring and modeling the aim of this study. The consistency difference between several levels of the phytoplankton taxonomic hierarchy was demonstrated as a new phenomenon important for modeling, monitoring, and ecological forecast. Though stochastic dynamics of abundances and biomasses often emerge from experiments and mathematical models, some predictable patterns and indices emerged from large-scale studies of natural aquatic assemblages. Mathematical models demonstrated the formation of long-tail distributions produced by metabolic webs. Such consistency phenomena lead to explanatory ecological models based on concepts of the living whirl (G. Cuvier), living matter (V. Vernadsky), dissipative structures, and biogeochemical cycles. Aquatic (marine and freshwater) ecosystem management could be sufficiently strengthened, applying reliable patterns and descriptors suitable for forecasting and diagnostic purposes.

Introduction to the Modelling of Marine Ecosystems, Second Edition provides foundational information on the construction of chemical and biological models – from simple cases to more complex biogeochemical models and life cycle resolving model components. This step-by-step approach to increasing the complexity of the models allows readers to explore the theoretical framework and become familiar with the models even when they have limited experience in mathematical modeling. Introduction to the Modelling of Marine Ecosystems shows how biological model components can be integrated into three dimensional circulation models and how such models can be used for numerical experiments. Covers the marine food web from nutrients, phytoplankton to higher trophic levels Presents information on the response of marine systems to external pressures as seen in physical biological models Provides an extended discussion of unifying theoretical concepts and of physical biological interaction Covers higher trophic levels, in particular multi-species fish models and their interaction with the biogeochemical models Offers MATLAB scripts on a companion website for many of the described example models to facilitate reproduction of the findings in the book and guide reader to writing own code

Nonlinear Physics of Ecosystems introduces the concepts and tools of pattern formation theory and demonstrates their utility in ecological research using problems from spatial ecology. Written in language understandable to both physicists and ecologists in most parts, the book reveals the mechanisms of pattern formation and pattern dynamics. It als

Quantitative methods specifically tailored for the marine biologist While there are countless texts published on quantitative methods and many texts that cover quantitative terrestrial ecology, this text fills the need for the special quantitative problems confronting marine biologists and biological oceanographers. The author combines common quantitative techniques with recent advances in quantitative methodology and then demonstrates how these techniques can be used to study marine organisms, their behaviors, and their interactions with the environment. Readers learn how to better design experiments and sampling, employ sophisticated mathematical techniques, and accurately interpret and communicate the results. Most of this text is written at an introductory level, with a few topics that advance to more complex themes. Among the topics covered are plot/plotless sampling, biometrics, experimental design, game theory, optimization, time trends, modeling, and environmental impact assessments. Even readers new to quantitative methods will find the material accessible, with plenty of features to engage their interest, promote learning, and put their knowledge into practice: • One or more examples are provided to illustrate each individual quantitative technique presented in the text • The accompanying CD-ROM features two multimedia programs, several statistical programs, help to run complex statistical programs, and additional information amplifying topics covered in the text • References lead readers to additional information to pursue individual topics in greater depth Quantitative Analysis of Marine Biological Communities, with its extensive use of examples, is ideal for undergraduate and graduate students in marine biology. Marine biologists, regardless of their level of experience, will also discover new approaches to quantitative analysis tailored to the particular needs of their field.

This book, first published in 2006, presents an introduction to the methodology of structural equation modeling, illustrates its use, and goes on to argue that it has revolutionary implications for the study of natural systems. A major theme of this book is that we have, up to this point, attempted to study systems primarily using methods (such as the univariate model) that were designed only for considering individual processes. Understanding systems requires the capacity to examine simultaneous influences and responses. Structural equation modeling (SEM) has such capabilities. It also possesses many other traits that add strength to its utility as a means of making scientific progress. In light of the capabilities of SEM, it can be argued that much of ecological theory is currently locked in an immature state that impairs its relevance. It is further argued that the principles of SEM are capable of leading to the development and evaluation of multivariate theories of the sort vitally needed for the conservation of natural systems.

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.

This book contains a systematic study of ecological communities of two or three interacting populations. Starting from the Lotka-Volterra system, various regulating factors are considered, such as rates of birth and death, predation and competition. The different factors can have a stabilizing or a destabilizing effect on the community, and their interplay leads to increasingly complicated behavior. Studying and understanding this path to greater dynamical complexity of ecological systems constitutes the backbone of this book. On the mathematical side, the tool of choice is the qualitative theory of dynamical systems — most importantly bifurcation theory, which describes the dependence of a system on the parameters. This approach allows one to find general patterns of behavior that are expected to be observed in ecological models. Of special interest is the reaction of a given model to disturbances of its present state, as well as to changes in the external conditions. This leads to the general idea of “dangerous boundaries” in the state and parameter space of an ecological system. The study of these boundaries allows one to analyze and predict qualitative and often sudden changes of the dynamics — a much-needed tool, given the increasing antropogenic load on the biosphere.As a spin-off from this approach, the book can be used as a guided tour of bifurcation theory from the viewpoint of application. The interested reader will find a wealth of intriguing examples of how known bifurcations occur in applications. The book can in fact be seen as bridging the gap between mathematical biology and bifurcation theory.