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Deterministic aspects of mathematical demography : an investigation of the stable theory of population including an analysis of the population statistics of Denmark

Author: John Impagliazzo
Publisher: Berlin ; New York : Springer-Verlag, ©1985.
Series: Biomathematics, v. 13.
Edition/Format:   Print book : EnglishView all editions and formats
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Genre/Form: Stabile Bevölkerungszahl
Additional Physical Format: Online version:
Impagliazzo, John.
Deterministic aspects of mathematical demography.
Berlin ; New York : Springer-Verlag, ©1985
(OCoLC)610135903
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: John Impagliazzo
ISBN: 0387136169 9780387136165 8430600582 9788430600588 3540136169 9783540136163
OCLC Number: 11399078
Description: xi, 186 pages : illustrations ; 25 cm.
Contents: 1. The Development of Mathematical Demography.- 1.1 Introduction.- 1.2 Demography Before the Eighteenth Century.- 1.3 The Life Table - Definitions and Consequences.- 1.4 The Life Table - Practical Considerations as a Population Model.- 1.5 Early Models of Population Projections.- 1.6 Mortality and Survival Revisited.- 1.7 Conclusion.- 1.8 Notes for Chapter One.- 2. An Overview of the Stable Theory of Population.- 2.1 Introduction.- 2.2 Duration of Events Compared to Time.- 2.3 Population Pyramids and Age-Specific Considerations.- 2.4 Classical Formulation of the Stable Theory of Population.- 2.5 An Overview of Deterministic Models in Stable Population Theory.- 2.6 Conclusion.- 2.7 Notes for Chapter Two.- 3. The Discrete Time Recurrence Model.- 3.1 Introduction.- 3.2 Linear Recurrence Equations - A Pandect.- 3.3 The Discrete Time Recursive Stable Population Model.- 3.4 Conclusion.- 3.5 Notes for Chapter Three.- 4. The Continuous Time Model.- 4.1 Introduction.- 4.2 The Development of the Continuous Time Model.- 4.3 Solution of the Continuous Model According to Lotka.- 4.4 Considerations on the Continuous Model According to Feller.- 4.5 Asymptotic Considerations.- 4.6 Conclusion.- 4.7 Notes for Chapter Four.- 5. The Discrete Time Matrix Model.- 5.1 Introduction.- 5.2 Development of the Discrete Time Matrix Model.- 5.3 Population Stability and the Matrix Model.- 5.4 Stable Theory when the Eigenvalues are Distinct.- 5.5 Stable Theory with Eigenvalues Not all Distinct.- 5.5.1 The case of 2 distinct eigenvalues.- 5.5.2 The case of p distinct eigenvalues.- 5.6 Conclusion.- 5.7 Notes for Chapter Five.- 6. Comparative Aspects of Stable Population Models.- 6.1 Introduction.- 6.2 Similarities Among the Stable Models.- 6.3 Differences Among the Stable Models.- 6.4 Conclusion.- 6.5 Notes for Chapter Six.- 7. Extensions of Stable Population Theory.- 7.1 Introduction.- 7.2 Some Parameters of Stable Population Theory.- 7.3 Some Fertility Measures in Stable Population Theory.- 7.4 Some Applications of Stable Population Theory.- 7.5 Perturbations of Stable Population Theory.- 7.6 Conclusion.- 7.7 Notes for Chapter Seven.- 8. The Kingdom of Denmark - A Demographic Example.- 8.1 Introduction.- 8.2 A Chronological Summary of Demographic Data Retrieval in Denmark.- 8.3 Migration, Mortality and Fertility in Denmark.- 8.4 Conclusion.- 8.5 Notes for Chapter Eight.- The Continuous Time Model According to McKendrick - von Foerster.- References.
Series Title: Biomathematics, v. 13.
Responsibility: John Impagliazzo.

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