Population system control

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Bibliographische Detailangaben
Hauptverfasser: Song, Jian (VerfasserIn), Yu, Jingyuan (VerfasserIn)
Format: Buch
Sprache:English
Chinese
Veröffentlicht: Beijing China Acad. Publ. u.a. 1988
Schlagworte:
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Datensatz im Suchindex

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adam_text Contents Preface .............................. V Chapter 1 Introduction .................... 1 1.1 Freedom and Constraints ................. 1 .2 Earth and Humanity ................... 5 .3 China s Population .................... 11 .4 Mankind and the Ecological System .......... 15 .5 The Transition from Necessity to Freedom in Human Development ........................ 20 .6 Tasks of Population Cybernetics ............. 23 .7 Methodology ........................ 30 References ............................ 34 Chapter 2 Mathematical Models of Population Systems . . 36 2.1 Continuous Population Equations ............ 38 2.2 Discrete Population Equations .............. 45 2.3 Stochastic Population Equations ............. 49 2.4 Large-Scale Population Systems ............. 60 2.5 Mortality Rates ...................... 64 2.6 Average Female Fertility Rates and Fertility Mode . . 67 2.7 Female Proportion Function ............... 74 2.8 Solutions of Continuous Population Equations .... 78 References ............................ 81 Chapter 3 Demographic Indices ...............83 3.1 Static Population Indices .................84 3.2 Average Lifetime and Life Expectancy .........90 3.3 Net Population Reproduction Rate ...........101 3.4 Female Generation Interval ...............106 3.5 Population Ageing Indices ................108 3.6 Labour Force Index and Dependency Index ......109 3.7 Calculation of the Average Female Fertility Rate ... Ill References ............................114 X Contents Chapter 4 Dynamic Analysis of a Population System ... 116 4.1 The Transfer Function and the Time Constant of the Population System ..................116 4.2 The Observability of the Population System ......126 4.3 Patterns and Transition of the Population State .... 130 4.4 The Spectral Characteristics of the Population Operator and the Asymptotic Property of Its Semigroups .........................139 4.5 The Asymptotic Property of the Solution in the Discrete Population Model ................150 References ............................159 Chapters Stability Theory of Population Systems .....161 5.1 Stability Concept of Population Systems ........161 5.2 Critical Female Fertility Rate ..............164 5.3 Stability of Continuous Population System .......170 5.4 Stability of Discrete Population System .........177 5.5 Female Fertility Rate in China ..............180 5.6 Man s Historical Mission Today .............185 5.7 Stability of Unsteady Population Systems .......189 References ............................193 Chapter 6 Population Projections and Policies .......195 6.1 The Significance and Methodologies of Projections . . 195 6.2 Extrapolation of the Basic Population Parameters . . 198 6.3 Methods of Calculation ..................205 6.4 Accuracy of Projection ..................209 6.5 Short Term and Long Term Population Projection for China ..........................212 References ............................225 Chapter 7 Population Structure in an Ideal Society .... 227 7.1 Population in an Ideal Society ..............227 7.2 Zero Growth Rate .....................229 7.3 Fine Structure for Population at Zero Growth Rate . . 231 7.4 Evolution of the Concept of Appropriate Population . 235 7.5 China s Appropriate Population .............240 References ............................249 Chapter 8 Optimal Control of Population Processes . . . 250 8.1 Introduction ........................250 8.2 Controllability of a Population System .........252 8.3 Performance Indices and Constraints of Optimization 256 8.4 Optimal Control of Continuous Equations of a Population Process ....................259 Contents XI 8.5 Optimal Control with Constraints ............261 8.6 Computation of the Optimal Mean Fertility Rate . . . 265 8.7 The Optimization Method of Age-Time Triangle . . . 269 8.8 Results of Computation and Population Control . . . 273 8.9 The Minima Principle for Population Control .....277 References ............................282 Author and Subject Index ...................283
any_adam_object 1
author Song, Jian
Yu, Jingyuan
author_facet Song, Jian
Yu, Jingyuan
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dewey-tens 300 - Social sciences
discipline Soziologie
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publishDate 1988
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publisher China Acad. Publ. u.a.
record_format marc
spellingShingle Song, Jian
Yu, Jingyuan
Population system control
Population - Modèles mathématiques
Population - Modèles mathématiques ram
biomathématiques inriac
commande système inriac
population inriac
Mathematisches Modell
Population Mathematical models
Demographie (DE-588)4011412-0 gnd
Theorie (DE-588)4059787-8 gnd
Bevölkerungspolitik (DE-588)4006295-8 gnd
Mathematisches Modell (DE-588)4114528-8 gnd
Bevölkerungsentwicklung (DE-588)4006292-2 gnd
subject_GND (DE-588)4011412-0
(DE-588)4059787-8
(DE-588)4006295-8
(DE-588)4114528-8
(DE-588)4006292-2
title Population system control
title_auth Population system control
title_exact_search Population system control
title_full Population system control Song Jian ; Yu Jingyuan
title_fullStr Population system control Song Jian ; Yu Jingyuan
title_full_unstemmed Population system control Song Jian ; Yu Jingyuan
title_short Population system control
title_sort population system control
topic Population - Modèles mathématiques
Population - Modèles mathématiques ram
biomathématiques inriac
commande système inriac
population inriac
Mathematisches Modell
Population Mathematical models
Demographie (DE-588)4011412-0 gnd
Theorie (DE-588)4059787-8 gnd
Bevölkerungspolitik (DE-588)4006295-8 gnd
Mathematisches Modell (DE-588)4114528-8 gnd
Bevölkerungsentwicklung (DE-588)4006292-2 gnd
topic_facet Population - Modèles mathématiques
biomathématiques
commande système
population
Mathematisches Modell
Population Mathematical models
Demographie
Theorie
Bevölkerungspolitik
Bevölkerungsentwicklung
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work_keys_str_mv AT songjian populationsystemcontrol
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