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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.
Originally published in 1986, this volume brings together geographical modelling of population change and demographic analysis of population structures and pattern. These 2 strands are interwoven in 3 key review chapters that summarize the study of spatial and temporal patterns of population, the modelling of spatial populations and the estimation of population processes. Findings reported include: An account of demographic transition; an exposé of the myth of ‘no fertility rises’ in the developing world in the 20th Century; a theory of population accounting; predicting migration flows for a system of regions; microsimulation methods to model population change; and demographic and economic processes integrated in an urban region model.
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.
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.
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.
This comprehensive handbook provides an overview and update of the issues, theories, processes, and applications of the social science of population studies. The volume's 30 chapters cover the full range of conceptual, empirical, disciplinary, and applied approaches to the study of demographic phenomena. This book is the first effort to assess the entire field since Hauser and Duncan's 1959 classic, The Study of Population. The chapter authors are among the leading contributors to demographic scholarship over the past four decades. They represent a variety of disciplines and theoretical perspectives as well as interests in both basic and applied research.
Mathematical Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Mathematical Models discusses matters of great relevance to our world such as: Basic Principles of Mathematical Modeling; Mathematical Models in Water Sciences; Mathematical Models in Energy Sciences; Mathematical Models of Climate and Global Change; Infiltration and Ponding; Mathematical Models of Biology; Mathematical Models in Medicine and Public Health; Mathematical Models of Society and Development. These three volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.