Deterministic aspects of mathematical demography: an investigation of the stable theory of population including an analysis of the population statistics of Denmark
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin u.a.
Springer
1985
|
| Schriftenreihe: | Biomathematics
13 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000292285&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XI, 186 S. |
| ISBN: | 3540136169 0387136169 |
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| 245 | 1 | 0 | |a Deterministic aspects of mathematical demography |b an investigation of the stable theory of population including an analysis of the population statistics of Denmark |c John Impagliazzo |
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Datensatz im Suchindex
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| adam_text | JOHNILNPAGLIAZZO DETERMINISTIC ASPECTS OF MATHEMATICAL DEMOGRAPHY AN
INVESTIGATION OF THE STABLE THEORY OF POPULATION INCLUDING AN ANALYSIS
OF THE POPULATION STATISTICS OF DENMARK WITH 52 ILLUSTRATIONS
UNIVERSITATS- BIBUOTHEK SPRINGER-VERLAG BERLIN HEIDELBERG NEWYORK TOKYO
TABLE OF CONTENTS 1. THE DEVELOPMENT OF MATHEMATICAL DEMOGRAPHY 1 1.1
INTRODUCTION 2 1.2 DEMOGRAPHY BEFORE THE EIGHTEENTH CENTURY 2 1.3 THE
LIFE TABLE - DEFINITIONS AND CONSEQUENCES 7 1.4 THE LIFE TABLE -
PRACTICAL CONSIDERATIONS AS A POPULATION MODEL . 17 1.5 EARLY MODELS OF
POPULATION PROJECTIONS 22 1.6 MORTALITY AND SURVIVAL REVISITED 31 1.7
CONCLUSION 34 1.8 NOTES FOR CHAPTER ONE 35 2. AN OVERVIEW OF THE STABLE
THEORY OF POPULATION 37 2.1 INTRODUCTION 38 2.2 DURATION OF EVENTS
COMPARED TO TIME 39 2.3 POPULATION PYRAMIDS AND AGE-SPECIFIC
CONSIDERATIONS 41 2.4 CLASSICAL FORMULATION OF THE STABLE THEORY OF
POPULATION . . . . 50 2.5 AN OVERVIEW OF DETERMINISTIC MODELS IN STABLE
POPULATION THEORY 51 2.6 CONCLUSION 56 2.7 NOTES FOR CHAPTER TWO 57 3.
THE DISCRETE TIME RECURRENCE MODEL 59 3.1 INTRODUCTION 60 3.2 LINEAR
RECURRENCE EQUATIONS - A PANDECT 60 3.3 THE DISCRETE TIME RECURSIVE
STABLE POPULATION MODEL 67 3.4 CONCLUSION 73 3.5 NOTES FOR CHAPTER THREE
73 4. THE CONTINUOUS TIME MODEL 75 4.1 INTRODUCTION 76 4.2 THE
DEVELOPMENT OF THE CONTINUOUS TIME MODEL 76 4.3 SOLUTION OF THE
CONTINUOUS MODEL ACCORDING TO LOTKA 82 4.4 CONSIDERATIONS ON THE
CONTINUOUS MODEL ACCORDING TO FELLER . . 87 4.5 ASYMPTOTIC
CONSIDERATIONS 90 4.6 CONCLUSION 92 4.7 NOTES FOR CHAPTER FOUR 93 5. THE
DISCRETE TIME MATRIX MODEL 95 5.1 INTRODUCTION 96 5.2 DEVELOPMENT OF THE
DISCRETE TIME MATRIX MODEL 96 5.3 POPULATION STABILITY AND THE MATRIX
MODEL 100 5.4 STABLE THEORY WHEN THE EIGENVALUES ARE DISTINCT 104 5.5
STABLE THEORY WITH EIGENVALUES NOT ALL DISTINCT 112 5.5.1 THE CASE OF 2
DISTINCT EIGENVALUES 114 5.5.2 THE CASE OF P DISTINCT EIGENVALUES 119
5.6 CONCLUSION 124 5.7 NOTES FOR CHAPTER FIVE 125 6. COMPARATIVE ASPECTS
OF STABLE POPULATION MODELS 127 6.1 INTRODUCTION . 128 6.2 SIMILARITIES
AMONG THE STABLE MODELS 128 6.3 DIFFERENCES AMONG THE STABLE MODELS 131
6.4 CONCLUSION 132 6.5 NOTES FOR CHAPTER SIX 132 7. EXTENSIONS OF STABLE
POPULATION THEORY 133 7.1 INTRODUCTION 134 7.2 SOME PARAMETERS OF STABLE
POPULATION THEORY 134 7.3 SOME FERTILITY MEASURES IN STABLE POPULATION
THEORY 139 7.4 SOME APPLICATIONS OF STABLE POPULATION THEORY 143 7.5
PERTURBATIONS OF STABLE POPULATION THEORY 150 7.6 CONCLUSION 152 7.7
NOTES FOR CHAPTER SEVEN 152 8. THE KINGDOM OF DENMARK - A DEMOGRAPHIC
EXAMPLE 155 8.1 INTRODUCTION 156 8.2 A CHRONOLOGICAL SUMMARY OF
DEMOGRAPHIC DATA RETRIEVAL IN DENMARK 157 8.3 MIGRATION, MORTALITY AND
FERTILITY IN DENMARK 159 8.4 CONCLUSION 170 8.5 NOTES FOR CHAPTER EIGHT
173 X APPENDIX 175 THE CONTINUOUS TIME MODEL ACCORDING TO MCKENDRICK -
VON FOERSTER 175 REFERENCES 179 INDEX 183 XI
|
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| id | DE-604.BV000474206 |
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| isbn | 3540136169 0387136169 |
| language | English |
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| physical | XI, 186 S. |
| psigel | TUB-www |
| publishDate | 1985 |
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| publisher | Springer |
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| series | Biomathematics |
| series2 | Biomathematics |
| spellingShingle | Impagliazzo, John Deterministic aspects of mathematical demography an investigation of the stable theory of population including an analysis of the population statistics of Denmark Biomathematics Modèle de population stable Population - Modèles mathématiques Mathematisches Modell Demography Models, Theoretical Population Mathematical models Stable population model Bevölkerungsentwicklung (DE-588)4006292-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4006292-2 (DE-588)4114528-8 (DE-588)4010877-6 (DE-588)4056995-0 |
| title | Deterministic aspects of mathematical demography an investigation of the stable theory of population including an analysis of the population statistics of Denmark |
| title_auth | Deterministic aspects of mathematical demography an investigation of the stable theory of population including an analysis of the population statistics of Denmark |
| title_exact_search | Deterministic aspects of mathematical demography an investigation of the stable theory of population including an analysis of the population statistics of Denmark |
| title_full | Deterministic aspects of mathematical demography an investigation of the stable theory of population including an analysis of the population statistics of Denmark John Impagliazzo |
| title_fullStr | Deterministic aspects of mathematical demography an investigation of the stable theory of population including an analysis of the population statistics of Denmark John Impagliazzo |
| title_full_unstemmed | Deterministic aspects of mathematical demography an investigation of the stable theory of population including an analysis of the population statistics of Denmark John Impagliazzo |
| title_short | Deterministic aspects of mathematical demography |
| title_sort | deterministic aspects of mathematical demography an investigation of the stable theory of population including an analysis of the population statistics of denmark |
| title_sub | an investigation of the stable theory of population including an analysis of the population statistics of Denmark |
| topic | Modèle de population stable Population - Modèles mathématiques Mathematisches Modell Demography Models, Theoretical Population Mathematical models Stable population model Bevölkerungsentwicklung (DE-588)4006292-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Modèle de population stable Population - Modèles mathématiques Mathematisches Modell Demography Models, Theoretical Population Mathematical models Stable population model Bevölkerungsentwicklung Danemark - Population Dinamarca - Población Dänemark Denmark Population Statistik |
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