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This book deals with a key area of population genetics: the ratio of the sexes in a population, or the allocation of resources to male versus female reproductive function. Samuel Karlin and Sabin Lessard establish the formal theoretical aspects of the evolution of sex ratio within the constraints of genetic mechanisms of sex determination. Their results generalize and unify existing work on the topic, strengthening previous conceptions in some cases and, in other instances, offering new directions of research. There are two main approaches to understanding the causes and effects of sex ratio. One approach focuses on the optimization and adaptive functions of sex allocation, while the other emphasizes the consequences of genetic sex determination mechanisms. In discussing the utility of these two approaches, Professors Karlin and Lessard examine the principal sex-determining mechanisms and facts involved in sex ratio representations, the various genetic and environmental factors that contribute to adaptive sex expression, and the evolution of sex determining systems and controls. From a population genetic perspective, the authors derive evolutionary properties in support of the high incidence of 1:1 sex ratio in natural populations and investigate the conditions that can explain the occurrence of biased sex ratio.
This "Second Course" continues the development of the theory and
applications of stochastic processes as promised in the preface of
Serving as the foundation for a one-semester course in stochastic processes for students familiar with elementary probability theory and calculus, "Introduction to Stochastic Modeling, 4e, " bridges the gap between basic probability and an intermediate level course in stochastic processes. The objectives of the text are to introduce students to the standard concepts and methods of stochastic modeling, to illustrate the rich diversity of applications of stochastic processes in the applied sciences, and to provide exercises in the application of simple stochastic analysis to realistic problems. New to this edition: Realistic applications from a variety of
disciplines integrated throughout the text, including more
biological applicationsPlentiful, completely updated
problemsCompletely updated and reorganized end-of-chapter exercise
sets, 250 exercises with answersNew chapters of stochastic
differential equations and Brownian motion and related
processesAdditional sections on Martingale and Poisson
process Realistic applications from a variety of disciplines integrated throughout the text. Extensive end of chapter exercises sets, 250 with answers Chapter 1-9 of the new edition are identical to the previous edition New Chapter 10 - Random Evolutions New Chapter 11- Characteristic functions and Their Applications "
The purpose, level, and style of this new edition conform to the
tenets set forth in the original preface. The authors continue with
their tack of developing simultaneously theory and applications,
intertwined so that they refurbish and elucidate each other.
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