The growth and structure of human populations: A mathematical investigation
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Princeton, N.J.
Princeton Univ. Pr.
1975
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| Edition: | 2. print. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVII, 227 S. m. Tab. |
| ISBN: | 0691093571 |
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Record in the Search Index
| _version_ | 1804119200134856704 |
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| adam_text | Contents Chapter 1. Fertility, Mortality, and Age Distribu tions: Introduction Fertility and mortality schedules in human populations Fertility schedules Mortality schedules Age distribution and birth and death rates Chapter 2. The Stable Population Characteristics of stable populations The mean length of generation in the stable population The rate of increase in a stable population The age distribution of the stable population Differences in fertility and differences in the age distribution of stable populations Differences in mortality and differences in the age distribution of stable populations A difference in mortality that would have no effect on the stable age distribution Typical differences in mortality schedules Differences in stable age distribution caused by typical dif ferences in mortality schedules Comparison of the effects on the stable age distribution of dif ferences in fertility on the one hand and differences in mortality on the other The birth rate in the stable population Differences in c{m) with different values of m Differences in c(m) with different values of GRR Differences in c(m) with different values of eg The death rate in a stable population Variation in the overall rate in stable population of any agespecific characteristic Calculation of G Variation in the intrinsic death rate Some uses and limitations of the stable population The hypothetical nature of stable populations Male and female stable populations Use of the stable population to illustrate the limits of the birth rate, the death rate, and the rate of natural increase 3 4 9 16 16
31 32 40 41 47 49 51
CONTENTS Chapter 3. Convergence Form of a Population то the Stable The sequence of births as sum of a set of exponential functions with real and complex exponents Lotka’s proof that constant fertility and mortality lead to a stable population re Calculation of the roots of e гаф(а)сІа = 1 Ja Calculation of the coefficients {Qß in Bit) = tf=0Qiérit Geometry of the net fertility function and the nature of the real and complex components of the birth series Factors governing the first (lowest frequency) pair of com plex roots Numerical estimation of first oscillatory term by regression Factors governing the second and third pairs of complex roots of [ е~гаф(а)сіа = 1 61 63 70 Jo re Complex roots of I e ταφ{α)άα = 1 at frequencies higher Jo than the third Summary of the nature of the influence of ф(а) on the terms in B{t) = ΣΓ=0 Qŕ* The initial magnitude of the components of B{t) Qi(a) for different frequencies Examples of stabilization with various initial populations Visualizing the nature of the approach to stability Visualizing the approach to an exponential birth sequence, when the initial age distribution approximates the stable except for “lumped” deviations Visualizing the approach to an exponential birth sequence when the initial population differs from the stable (under age β) over broad age intervals (more than 5 or 6 years) Chapter 4. Population with Fertility That Changes at a Constant Rate 90 100 117 The birth sequence and age composition of a population with fertility that changes at a constant rate, “forever” 117 An approximate analytical expression for the
sequence of births when mortality is constant and fertility is subject to a constant annual change 118 viii
CONTENTS Characteristics of the birth sequence and of the population re sulting from continuously changing fertility The birth sequence and the age distribution in the early years after the initiation of a fertility decline and in the years after a decline has ended Growth after fertility has fallen to the level that just ensures replacement Chapter 5. Birth Sequences and Age Distributions with Changing Mortality The effect on age composition of declining mortality under age five The effect on the age distribution of a population with declining mortality of above minimum changes in μ{α) at older ages The age distribution of a population with a history of declining mortality relative to the stable age distribution Chapter 6. The Birth Sequence and the Age Distribu That Occur When Fertility Is Subject to Repetitive Fluctuations 127 137 149 152 155 159 161 tion 165 Cyclical variations in φ{α,ί), cyclical fluctuations in births about an exponential trend, and a cyclically repeating age composition 165 Fertility fluctuations of small amplitude 169 Typical features of the relation of birth cycles to small ampli tude fertility cycles 173 The relation of birth cycles to fertility cycles at very low fre quencies 177 “Resonance” at frequencies of about one cycle per generation, and “anti-resonance” at about half that frequency 181 Birth sequences resulting from large amplitude fluctuations in fertility at a single frequency 184 The birth sequence resulting from fluctuations in fertility at a single frequency: recapitulation 188 The age distribution of a population with
fluctuating fertility 192 Chapter 7. Chapter 8. The Relation Between the Birth Sequence and Sequence of Fertility Schedules in Any Time Pattern Derived by Fourier Analysis Conclusion The stable population and the approach to stability ix 194 206 208
CONTENTS Birth sequences and age composition when mortality is con stant and fertility follows a trend of constant annual change Age composition when fertility is constant and mortality has been declining Birth sequences and age composition when fertility follows cyclical fluctuations 211 213 214 GLOSSARY OF MOST IMPORTANT SYMBOLS 219 INDEX 225
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| author | Coale, Ansley J. 1917-2003 |
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| author_facet | Coale, Ansley J. 1917-2003 |
| author_role | aut |
| author_sort | Coale, Ansley J. 1917-2003 |
| author_variant | a j c aj ajc |
| building | Verbundindex |
| bvnumber | BV005085514 |
| classification_rvk | MS 4200 QU 300 SK 950 |
| ctrlnum | (OCoLC)180467480 (DE-599)BVBBV005085514 |
| discipline | Soziologie Mathematik Wirtschaftswissenschaften |
| edition | 2. print. |
| format | Book |
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| id | DE-604.BV005085514 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:22:24Z |
| institution | BVB |
| isbn | 0691093571 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003116886 |
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| physical | XVII, 227 S. m. Tab. |
| publishDate | 1975 |
| publishDateSearch | 1975 |
| publishDateSort | 1975 |
| publisher | Princeton Univ. Pr. |
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| spelling | Coale, Ansley J. 1917-2003 Verfasser (DE-588)122490290 aut The growth and structure of human populations A mathematical investigation 2. print. Princeton, N.J. Princeton Univ. Pr. 1975 XVII, 227 S. m. Tab. txt rdacontent n rdamedia nc rdacarrier Bevölkerungsentwicklung (DE-588)4006292-2 gnd rswk-swf Bevölkerungsstruktur (DE-588)4246600-3 gnd rswk-swf Bevölkerungswachstum (DE-588)4129300-9 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Bevölkerungsentwicklung (DE-588)4006292-2 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Bevölkerungswachstum (DE-588)4129300-9 s 1\p DE-604 Bevölkerungsstruktur (DE-588)4246600-3 s 2\p DE-604 Digitalisierung UB Bamberg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003116886&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Coale, Ansley J. 1917-2003 The growth and structure of human populations A mathematical investigation Bevölkerungsentwicklung (DE-588)4006292-2 gnd Bevölkerungsstruktur (DE-588)4246600-3 gnd Bevölkerungswachstum (DE-588)4129300-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4006292-2 (DE-588)4246600-3 (DE-588)4129300-9 (DE-588)4114528-8 |
| title | The growth and structure of human populations A mathematical investigation |
| title_auth | The growth and structure of human populations A mathematical investigation |
| title_exact_search | The growth and structure of human populations A mathematical investigation |
| title_full | The growth and structure of human populations A mathematical investigation |
| title_fullStr | The growth and structure of human populations A mathematical investigation |
| title_full_unstemmed | The growth and structure of human populations A mathematical investigation |
| title_short | The growth and structure of human populations |
| title_sort | the growth and structure of human populations a mathematical investigation |
| title_sub | A mathematical investigation |
| topic | Bevölkerungsentwicklung (DE-588)4006292-2 gnd Bevölkerungsstruktur (DE-588)4246600-3 gnd Bevölkerungswachstum (DE-588)4129300-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Bevölkerungsentwicklung Bevölkerungsstruktur Bevölkerungswachstum Mathematisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003116886&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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