Author | Impagliazzo, John. author |
---|---|
Title | Deterministic Aspects of Mathematical Demography [electronic resource] : An Investigation of the Stable Theory of Population including an Analysis of the Population Statistics of Denmark / by John Impagliazzo |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1985 |
Connect to | http://dx.doi.org/10.1007/978-3-642-82319-0 |
Descript | XII, 188 p. 1 illus. online resource |
1. The Development of Mathematical Demography -- 1.1 Introduction -- 1.2 Demography Before the Eighteenth Century -- 1.3 The Life Table โ Definitions and Consequences -- 1.4 The Life Table โ 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 โ 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 -- 5.6 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 โ 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 โ von Foerster -- References