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Branching processes are stochastic processes which represent the reproduction of particles, such as individuals within a population, and thereby model demographic stochasticity. In branching processes in random environment (BPREs), additional environmental stochasticity is incorporated, meaning that the conditions of reproduction may vary in a random fashion from one generation to the next. This book offers an introduction to the basics of BPREs and then presents the cases of critical and subcritical processes in detail, the latter dividing into weakly, intermediate, and strongly subcritical regimes.

By day: Glamorous movie star. By Night: terrified woman, in need of protection for herself and her little girl.Rancher Joe Mc Bride knew that the last thing he needed was some big-time movie star invading his home. Yet Angel Wiley and her adorable three year old were looking to him to save them from unnamed danger. Joe could never turn away from a lady in distress–but he soon realized it wasn't just the defenses of his home they were crumbling, but the ice around his heart….

The purpose of this book is to provide a comprehensive discussion of the available results for discrete time branching processes with random control functions. The independence of individuals’ reproduction is a fundamental assumption in the classical branching processes. Alternatively, the controlled branching processes (CBPs) allow the number of reproductive individuals in one generation to decrease or increase depending on the size of the previous generation. Generating a wide range of behaviors, the CBPs have been successfully used as modeling tools in diverse areas of applications.

The collapse of many of the World’s fisheries continues to be of major concern and the enhancement of fish stocks through techniques such as ranching is of huge importance and interest across the globe. This important book, which contains fully peer reviewed and carefully edited papers from the 2nd International Symposium in Stock Enhancement and Sea Ranching is broadly divided into sections covering the following areas: The present situation of stock enhancement Seed quality and techniques for effective stocking Health management of hatchery stocks Methods for evaluating stocking effectiveness Population management in stock enhancement and sea ranching Management of stocked populations Ecological interactions with wild stocks Genetic management of hatchery and wild stocks Socio-economics of stock enhancement Case studies Stock Enhancement and Sea Ranching has been written and edited by some of the world’s foremost authorities in fisheries science and related areas and is essential reading for all fisheries scientists throughout the World. Fish biologists, marine and aquatic scientists, environmental biologists, ecologists, conservationists, aquaculture personnel and oceanographers will all find much of use and interest within this book. All libraries within universities and research establishments where these subjects are studied and taught should have copies of this book on their shelves.