Applied Mathematical Demography

The third edition of this classic text maintains its focus on applications of demographic models, while extending its scope to matrix models for stage-classified populations. The authors first introduce the life table to describe age-specific mortality, and then use 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. Reproductive value and the stable equivalent population are introduced in both contexts, and Markov chain methods are presented to describe the movement of individuals through the life cycle. Applications of mathematical demography to population projection and forecasting, kinship, microdemography, heterogeneity, and multi-state models are considered.

The new edition maintains and extends the book's focus on the consequences of changes in the vital rates. Methods are presented for calculating the sensitivity and elasticity of population growth rate, life expectancy, stable stage distribution, and reproductive value, and for applying those results in comparative studies.

Stage-classified models are important in both human demography and population ecology, and this edition features examples from both human and non-human populations. In short, this third edition enlarges considerably the scope and power of demography. It will be an essential resource for students and researchers in demography and in animal and plant population ecology.

From the reviews:

'If you found the original editions...to be excellent (and who amoung us has not?) then you will find the new edition to be equally so...This book is highly and unreservedly recommended for any beginning mathematical demographer.' Mathematical Population Studies, 12:223-228, 2005

'The material in the second edition is retained, although the chapters are reorganized and references are updated. New chapters focusing on matrix population models are seamlessly interwoven with the second edition chapters, resulting in a thorough and comprehensive treatment of human, animal, and nonhuman demography.' Journal of the American Statistical Association, December 2005

• Introduction: Population Without Age.

• The Life Table.
• The Matrix Model Framework.
• Mortality Comparisons
  The Male-Female Ratio.
• Fixed Regime of Mortality and Fertility.
• Birth and the Intrinsic Rate of Natural Increase.
• Birth, Increase, and Dynamics of Matrix Population Models.
• Reproductive Value.
• Reproductive Value in Matrix Models.
• Understanding Population Characteristics.
• Markov Chains for Individual Life Histories.
• Projection and Forecasting.
• Perturbation Analysis of Matrix Models.
• Some Types of Instability.
• The Demographic Theory of Kinship.
• Microdemography.
• The Multi-State Model.
• Family Demography.
• Heterogeneity and Selection in Population Analysis.
• Epilogue.

Infotext: Third edtion of a very popular book

• Statistik in Biologie, Biomedizin, Medizin, Gesundheitswesen
• Ökologie
• Mathematische Biologie allgemein
• Statistik in Sozial-, Erziehungs-,Rechtswiss., Politik und Gesetzgebung
• Math. Anwendungen in der Umwelt