At a time of unprecedented expansion in the life sciences, evolution is the one theory that transcends all of biology. Any observation of a living system must ultimately be interpreted in the context of its evolution. Evolutionary change is the consequence of mutation and natural selection, which are two concepts that can be described by mathematical equations. Evolutionary Dynamics is concerned with these equations of life. In this book, Martin A. Nowak draws on the languages of biology and mathematics to outline the mathematical principles according to which life evolves. His work introduces readers to the powerful yet simple laws that govern the evolution of living systems, no matter how complicated they might seem. Evolution has become a mathematical theory, Nowak suggests, and any idea of an evolutionary process or mechanism should be studied in the context of the mathematical equations of evolutionary dynamics. His book presents a range of analytical tools that can be used to this end: fitness landscapes, mutation matrices, genomic sequence space, random drift, quasispecies, replicators, the Prisoner’s Dilemma, games in finite and infinite populations, evolutionary graph theory, games on grids, evolutionary kaleidoscopes, fractals, and spatial chaos. Nowak then shows how evolutionary dynamics applies to critical real-world problems, including the progression of viral diseases such as AIDS, the virulence of infectious agents, the unpredictable mutations that lead to cancer, the evolution of altruism, and even the evolution of human language. His book makes a clear and compelling case for understanding every living system—and everything that arises as a consequence of living systems—in terms of evolutionary dynamics.

Evolutionary game theory studies the behaviour of large populations of strategically interacting agents & is used by economists to predict in settings where traditional assumptions about the rationality of agents & knowledge may be inapplicable.

In recent years, scientists have realized that evolution can occur on timescales much shorter than the 'long lapse of ages' emphasized by Darwin - in fact, evolutionary change is occurring all around us all the time. This work provides an authoritative and accessible introduction to eco-evolutionary dynamics, a cutting-edge new field that seeks to unify evolution and ecology into a common conceptual framework focusing on rapid and dynamic environmental and evolutionary change.

The 14 chapters of this volume, which present an overview of new research in evolutionary dynamics, were first presented at a conference held in October 1998 at the Santa Fe Institute. The main divisions of the book are macroevolution; epochal evolution; population genetics, dynamics, and optimization; and evolution of cooperation. Individual topics include spectral landscape theory, external triggers in biological evolution, and evolutionary dynamics of asexual reproduction. Several of the contributors, like the editors, are affiliated with the Sante Fe Institute; others teach or work in physics, genetics, biology, computational neuroscience, and theoretical chemistry at universities and private institutions in the US, UK, Austria, Sweden, Australia, Israel, and Germany. Annotation copyrighted by Book News, Inc., Portland, OR

The result of one of the most detailed and careful examinations of the behavior and ecology of a vertebrate ever conducted in the wild, this study addresses one of the major questions in evolutionary biology: why do some populations vary so much in morphological, ecological, behavioral, and physiological traits? By documenting the full range of variation within one population of a species and investigating the causal factors, Rosemary and Peter Grant provide impressive evidence that species are capable of evolutionary change within observable periods of time. Among the most dramatic examples of recent speciation and adaptive diversification are Darwin's Finches, which live in the Galápagos Islands. Darwin theorized that these closely related birds had evolved from a common ancestor to fill the available ecological niches on this remote archipelago. Not only have they evolved into thirteen species, but more recent study has shown that many of them exhibit striking variation in beak structure and other traits. For more than a decade, the Grants have studied one of these species, the large cactus finch, on the isolated Isla Genovesa. They present information on the environment and demographic features of the population, then discuss the range of genetic, ecological, and behavioral factors responsible for the unusually large morphological variation. They place the large cactus finch in its community setting to better understand its evolution and conclude by discussing the implications of the study for the genetic structure of small populations and the problems of conserving them. They illustrate their findings with an array of drawings, tables, and photographs.

Written for researchers and postgraduate students with a background in physics or applied mathematics and a desire to apply their skills to problems in the life sciences, this beautifully illustrated and stimulating book develops an understanding of the gene-to-trait problem in the context of evolutionary dynamics, from the modern perspective of integrative biology. The gene-to-trait problem resides at the heart of a great many questions in biology. The author presents both elementary and advanced material in a way that brings out how this gene-to-trait problem is treated in the contexts of bioinformatics and evolutionary dynamics. Key ideas and techniques that underlie some of the most-used bioinformatics methods are discussed in an integrative context and a wide range of examples of mathematical models of living things is developed in an evolutionary framework.

The theme of this volume is to discuss Eco-evolutionary Dynamics. - Updates and informs the reader on the latest research findings - Written by leading experts in the field - Highlights areas for future investigation

Every form of behaviour is shaped by trial and error. Such stepwise adaptation can occur through individual learning or through natural selection, the basis of evolution. Since the work of Maynard Smith and others, it has been realised how game theory can model this process. Evolutionary game theory replaces the static solutions of classical game theory by a dynamical approach centred not on the concept of rational players but on the population dynamics of behavioural programmes. In this book the authors investigate the nonlinear dynamics of the self-regulation of social and economic behaviour, and of the closely related interactions between species in ecological communities. Replicator equations describe how successful strategies spread and thereby create new conditions which can alter the basis of their success, i.e. to enable us to understand the strategic and genetic foundations of the endless chronicle of invasions and extinctions which punctuate evolution. In short, evolutionary game theory describes when to escalate a conflict, how to elicit cooperation, why to expect a balance of the sexes, and how to understand natural selection in mathematical terms.

Until recently, most network design techniques employed a bottom-up approach with lower protocol layer mechanisms affecting the development of higher ones. This approach, however, has not yielded fascinating results in the case of wireless distributed networks. Addressing the emerging aspects of modern network analysis and design, Evolutionary Dyna

The theory and applications of infinite dimensional dynamical systems have attracted the attention of scientists for quite some time. This book serves as an entrée for scholars beginning their journey into the world of dynamical systems, especially infinite dimensional spaces. The main approach involves the theory of evolutionary equations.