Multidimensional Mathematical Demography


Book Description

Multidimensional Mathematical Demography is a collection of papers dealing with the problems of inaccurate or unavailable demographic data, transformation of data into probabilities, multidimensional population dynamic models, and the problems of heterogeneity. The papers suggest a unified perspective with emphasis on data structure to work out multidimensional analysis with incomplete data. To solve inaccuracies in data, one paper notes that designs and use of model multistate schedules, for example, methods of inferring data, should be a major part in multistate modeling. Other papers discuss the state-of-the-art in abridged increment-decrement life table methodology. They also describe the estimation of transition probabilities in increment-decrement life tables where mobility data available is from the count of movers from a population survey. One paper reviews the possible extension of a multiregional stochastic theorem associated in a single-regional case; and then analyzes what the stochastic model needs when it is used with real data. Another paper explains strategies concerning population heterogeneity when it pertains to the mixtures of Markov and semi-Markov processes; Markov processes subject to measurement error; and the Heckman and Borjas model. This collection can be read profitably by statisticians, mathematicians, mathematical demographers, mathematical sociologists, economists, professionals in census bureaus, and students of sociology or geography.







Mathematical Demography


Book Description

Mathematical demography is the centerpiece of quantitative social science. The founding works of this field from Roman times to the late Twentieth Century are collected here, in a new edition of a classic work by David R. Smith and Nathan Keyfitz. Commentaries by Smith and Keyfitz have been brought up to date and extended by Kenneth Wachter and Hervé Le Bras, giving a synoptic picture of the leading achievements in formal population studies. Like the original collection, this new edition constitutes an indispensable source for students and scientists alike, and illustrates the deep roots and continuing vitality of mathematical demography.




Applied Mathematical Demography


Book Description

Focuses on applications of demographic models. This book introduces the life table to describe age-specific mortality, and uses it to develop theory for stable populations and the rate of population increase. This theory is then revisited in the context of matrix models, for stage-classified as well as age-classified populations.




Demography - Volume II


Book Description

Zeng Yi is a Professor at the Center for the Study of Aging and Human Development and Geriatric Division / Dept of Medicine of Medical School, and Institute of Population Research and Dept. of Sociology, Duke University. He is also a Professor at the China Center for Economic Research, National School of Development at Peking University in China, and Distinguished Research Scholar of the Max Planck Institute for Demographic Research (MPIDR) in Germany. He received his doctoral degree from Brussels Free University in May 1986, and conducted post-doctoral study at Princeton University in 1986-87. Up to Feb. 2008, he has had 81 professional articles written in English published in academic journals or as book chapters in the United States and Europe; among them, 51 articles were published in anonymous, peer-reviewed academic journals. He has had 85 professional articles written in Chinese and published in China; among them, 55 articles were published in national top Chinese academic journals. He has published sixteen books, including five research books (as first author), such as “Family Dynamics in China,” published by the University of Wisconsin Press; one textbook on demographic methods (as the sole author); two volumes of demographic software and user’s manuals (as the first author) on family status life table analysis; six edited books (four as the chief editor, and two as the second editor), such as the 2005 and 2008 books published by Springer for which he served as the chief editor. Six of Zeng Yi’s published books were written in English, one was written in both Chinese and English, and the remainders were written in Chinese. Zeng Yi has been awarded more than ten national and international academic prizes, such as the Dorothy Thomas Prize of the Population Association of America, the Harold D. Lasswell Prize in Policy Science awarded by the international journal Policy Sciences and Kluwer Academic Publishers, the second-class prize for advancement of science and technology awarded by the State Sciences and Technology Commission of China, the first-class prize for advancement of science and technology awarded by the State Education Commission, and the highest academic honor of Peking University: "Prize for Outstanding Contributions in Sciences." According to the search report, up to March 1, 2008, the internationally most important literature sources SSCI (Social Science Citation Index) and SCI (Science Citation Index), published in the U.S., indicate that Zeng Yi’s articles and books have been cited in 755 journal articles by authors other than Zeng Yi. Among them, 440 citations refer to the work of Zeng Yi as the first author; 315 citations refer to the work of Zeng Yi as a co-author. Zeng Yi is one of the authors of “High Impact Papers” worldwide in the period of 1981 -1998, as announced by International Scientific Institute (ISI) in September, 2000.




Modeling Multigroup Populations


Book Description

This book deals with models that can capture the behavior of individuals and groups over time. Organizationally, it is divided into three parts. Part I discusses the basic, decrement-only, life table and its associated stable population. Part II examines multistate (or increment-decrement) models and provides the first comprehensive treatment of those extremely flexible and useful life table models. Part III looks at "two-sex" models, which simultaneously incorporate the marriage or fertility behavior of males and females. Those models are explored more fully and completely here than has been the case to date, and the importance of including the experience of both sexes is demonstrated analytically as weil as empirically. In sum, this book considers a broad range of population models with a view to showing that such models can be eminently calculable, clearly interpretable, and analytically valuable for the study of many kinds of social behavior. Four appendixes have been added to make the book more usable. Appendix A provides abrief introduction to calculus and matrix algebra so that readers can understand, though not necessarily derive, the equations presented. Appendix B provides an index of the principal symbols used. Appendix C gives the answers to the exercises found at the end of each chapter. Those exercises should be seen as an extension of the text, and are intended to inform as weil as to challenge.




Stochastic Processes in Demography and Their Computer Implementation


Book Description

According to a recent report of the United States Census Bureau, world population as of June 30, 1983, was estimated at about 4. 7 billion people; of this total, an estimated 82 million had been added in the previous year. World population in 1950 was estimated at about 2. 5 billion; consequently, if 82 million poeple are added to the world population in each of the coming four years, population size will be double that of 1950. Another way of viewing the yearly increase in world population is to compare it to 234 million, the estimated current population of the United States. If the excess of births over deaths continues, a group of young people equivalent to the population of the United States will be added to the world population about every 2. 85 years. Although the rate of increase in world population has slowed since the midsixties, it seems likely that large numbers of infants will be added to the population each year for the foreseeable future. A large current world population together with a high likelihood of sub stantial increments in size every year has prompted public and scholarly recognition of population as a practical problem. Tangible evidence in the public domain that population is being increasingly viewed as a problem is provided by the fact that many governments around the world either have or plan to implement policies regarding population. Evidence of scholarly concern is provided by an increasing flow of publications dealing with population.




Age-Structured Population Dynamics in Demography and Epidemiology


Book Description

This book is the first one in which basic demographic models are rigorously formulated by using modern age-structured population dynamics, extended to study real-world population problems. Age structure is a crucial factor in understanding population phenomena, and the essential ideas in demography and epidemiology cannot be understood without mathematical formulation; therefore, this book gives readers a robust mathematical introduction to human population studies. In the first part of the volume, classical demographic models such as the stable population model and its linear extensions, density-dependent nonlinear models, and pair-formation models are formulated by the McKendrick partial differential equation and are analyzed from a dynamical system point of view. In the second part, mathematical models for infectious diseases spreading at the population level are examined by using nonlinear differential equations and a renewal equation. Since an epidemic can be seen as a nonlinear renewal process of an infected population, this book will provide a natural unification point of view for demography and epidemiology. The well-known epidemic threshold principle is formulated by the basic reproduction number, which is also a most important key index in demography. The author develops a universal theory of the basic reproduction number in heterogeneous environments. By introducing the host age structure, epidemic models are developed into more realistic demographic formulations, which are essentially needed to attack urgent epidemiological control problems in the real world.




Demography: Analysis and Synthesis, Four Volume Set


Book Description

This four-volume collection of over 140 original chapters covers virtually everything of interest to demographers, sociologists, and others. Over 100 authors present population subjects in ways that provoke thinking and lead to the creation of new perspectives, not just facts and equations to be memorized. The articles follow a theory-methods-applications approach and so offer a kind of "one-stop shop" that is well suited for students and professors who need non-technical summaries, such as political scientists, public affairs specialists, and others. Unlike shorter handbooks, Demography: Analysis and Synthesis offers a long overdue, thorough treatment of the field. Choosing the analytical method that fits the data and the situation requires insights that the authors and editors of Demography: Analysis and Synthesis have explored and developed. This extended examination of demographic tools not only seeks to explain the analytical tools themselves, but also the relationships between general population dynamics and their natural, economic, social, political, and cultural environments. Limiting themselves to human populations only, the authors and editors cover subjects that range from the core building blocks of population change--fertility, mortality, and migration--to the consequences of demographic changes in the biological and health fields, population theories and doctrines, observation systems, and the teaching of demography. The international perspectives brought to these subjects is vital for those who want an unbiased, rounded overview of these complex, multifaceted subjects. Topics to be covered: * Population Dynamics and the Relationship Between Population Growth and Structure * The Determinants of Fertility * The Determinants of Mortality * The Determinants of Migration * Historical and Geographical Determinants of Population * The Effects of Population on Health, Economics, Culture, and the Environment * Population Policies * Data Collection Methods and Teaching about Population Studies * All chapters share a common format * Each chapter features several cross-references to other chapters * Tables, charts, and other non-text features are widespread * Each chapter contains at least 30 bibliographic citations




Applied Demography for Biologists


Book Description

This is the first book to comprehensively apply the fundamental tools and concepts of demography to a nonhuman species. It provides clear and concise treatment of standard demographic techniques such as life table analysis and population projection; introduces models that have seldom appeared outside of the demographic literature including the multiple decrement life table, the intrinsic sex ratio, and multiregional demography; and addresses demographic problems that are unique to nonhuman organisms such as the demographic theory of social insects and harvesting techniques applied to insect mass rearing. The book also contains a synthesis of fundamental properties of population such as momentum and convergence to the stable age distribution, with a section on the unity of demographic models, and appendices detailing analytical methods used to quantify and model the data gathered in a ground-breaking study on the mortality experience of 1.2 million medflies. Based on an insect demography course at the University of California, Davis, the book is intended for practicing entomologists, population biologists, and ecologists for use in research or as a graduate text.