Lawlessness, violence and desperation are all that is left of the world following the coming of The Others. Abel exists only within the boundaries that her rules allow -- rules that she created to keep her alive. But when her best friend's daughter is taken by The Others, she can't keep playing by the rule book. Instead, she must begin a life defining journey that will test her survival techniques and challenge her ability to find what she has always feared: hope.
Utilizing the most recent developments in statistical modeling as applied to population studies, the authors interpret results obtained from available software and apply these results to current research issues.
The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologists alike. This book presents an overview and selected sample of these results and ideas, organized by biological theme rather than mathematical concept, with an emphasis on helping the reader develop appropriate modeling skills through use of well-chosen and varied examples. Part I starts with unstructured single species population models, particularly in the framework of continuous time models, then adding the most rudimentary stage structure with variable stage duration. The theme of stage structure in an age-dependent context is developed in Part II, covering demographic concepts, such as life expectation and variance of life length, and their dynamic consequences. In Part III, the author considers the dynamic interplay of host and parasite populations, i.e., the epidemics and endemics of infectious diseases. The theme of stage structure continues here in the analysis of different stages of infection and of age-structure that is instrumental in optimizing vaccination strategies. Each section concludes with exercises, some with solutions, and suggestions for further study. The level of mathematics is relatively modest; a "toolbox" provides a summary of required results in differential equations, integration, and integral equations. In addition, a selection of Maple worksheets is provided. The book provides an authoritative tour through a dazzling ensemble of topics and is both an ideal introduction to the subject and reference for researchers.
Dynamic Population Models is the first book to comprehensively discuss and synthesize the emerging field of dynamic modeling. Incorporating the latest research, it includes thorough discussions of population growth and momentum under gradual fertility declines, the impact of changes in the timing of events on fertility measures, and the complex relationship between period and cohort measures. The book is designed to be accessible to those with only a minimal knowledge of calculus.
When Abel comes across one of the alien overlords, she loots his corpse, the good little scavenger she is. She doesn't expect his death to be erm, temporary. He hunts her down and gives her a choice. Accept his help...The catch? She's now his.
In the 50 years that have passed since Alfred Latka's death in 1949 his position as the father of mathematical demography has been secure. With his first demographic papers in 1907 and 1911 (the latter co authored with F. R. Sharpe) he laid the foundations for stable population theory, and over the next decades both largely completed it and found convenient mathematical approximations that gave it practical applica tions. Since his time, the field has moved in several directions he did not foresee, but in the main it is still his. Despite Latka's stature, however, the reader still needs to hunt through the old journals to locate his principal works. As yet no exten sive collections of his papers are in print, and for his part he never as sembled his contributions into a single volume in English. He did so in French, in the two part Theorie Analytique des Associations Biologiques (1934, 1939). Drawing on his Elements of Physical Biology (1925) and most of his mathematical papers, Latka offered French readers insights into his biological thought and a concise and mathematically accessible summary of what he called recent contributions in demographic analy sis. We would be accurate in also calling it Latka's contributions in demographic analysis.
Competition is one of the most important factors controlling the distribution and abundance of living creatures. Sperm cells racing up reproductive tracts, beetle larvae battling inside single seeds, birds defending territories, and trees interfering with the light available to neighbours, are all engaged in competition for limited resources. Along with predation and mutualism, competition is one of the three major biological forces that assemble living communities. Recent experimental work, much of it only from the last few decades, has enhanced human knowledge of the prevalence of competition in nature. There are acacia trees that use ants to damage vines, beetles that compete in arenas for access to dung balls, tadpoles that apparently poison their neighbours, birds that smash the eggs of potential competitors, and plants that associate with fungi in order to increase access to soil resources. While intended as an up-to-date reference work on the state of this branch of ecology, the many non-technical examples will make interesting reading for those with a general interest in nature. Greatly expanded from the first prize-winning edition, there are entirely new chapters, including one on resources and another on competition gradients in nature. The author freely ranges across all major taxonomic groups in search of evidence. The question of whether competition occurs is no longer useful, the author maintains; rather the challenge is to determine when and where each kind of competition is important in natural systems. For this reason, variants of competition such as intensity, asymmetry and hierarchies are singled out for particular attention. The book concludes with the difficulties of finding general principles in complex ecological communities, and illustrates the limitations on knowledge that arise out of the biased conduct of scientists themselves. Competition can be found elsewhere in living systems other than ecological communities, at sub-microscopic scales in the interactions of enzymes and neural pathways, and over large geographic areas in the spread of human populations and contrasting ideas about the world. Human societies are therefore also examined for evidence of the kinds of competition found among other living organisms. Using an array of historical examples, including Biblical conflicts, the use of noblemen's sons in the Crusades, the Viking raids in Europe, strategic bombing campaigns in the Second World War, and ethnic battles of the Balkans, the book illustrates how most of the aspects of competition illustrated with plants and animals can be extended to the interactions of human beings and their societies.
The initial plans for this book sprang from a late-afternoon conversation in a hotel bar. All three authors were attending the 1996 meeting of the Population As- ciation of America in New Orleans. While nursing drinks and expounding on a variety of topics, we began talking about our current research projects. It so happened that all three of us had been entertaining the notion of writing a book on state and local population projections. Recognizing the enormity of the project for a single author, we quickly decided to collaborate. Had we not decided to work together, it is unlikely that this book ever would have been written. The last comprehensive treatment of state and local population projections was Don Pittenger’s excellent work Projecting State and Local Populations (1976). Many changes affecting the production of population projections have occurred since that time. Technological changes have led to vast increases in computing power, new data sources, the development of GIS, and the creation of the Internet. The procedures for applying a number of projection methods have changed considerably, and several completely new methods have been developed.
This book is intended as a relatively nontechnica1 introduction to eurrent demographie methods. It has been several years in preparation, beginning from occasional class handouts I wrote to elaborate on essential points of demographie methodology. Its growth from scattered notes to an integrated text was a natural process, if a gradual one. The eontent of the book addresses three objectives. first, I have tried to avoid demographie methods that are now dated. In some ehapters, that has meant eoncentrating on formulas most demographers recognize. In the ehap ters on life tables, it meant testing competing formulas on a variety of real and synthetie data se.ts, and dropping or relegating to footnotes those that were least accurate. Second, I have attempted to give readers a sense of the limits of different formulas and methods. I am a terse writer, however, and for the reader that means most sentences carry weight. Chapters should be read attentively, with careful regard to commentary as weIl as to formulas and examples. Finally, I have tried to make the principal methodologies of the book accessible, by offering explanations for formulas that are not obvious, by keeping examples to the forefront, and by placing relatively specialized topics in ehapter appendices.
