Ebook: Mathematical Demography: Selected Papers

Mathematical demography is the centerpiece of quantitative social science. The founding works of this field from Roman times to the late Twentieth Century are collected here, in a new edition of a classic work by David R. Smith and Nathan Keyfitz. Commentaries by Smith and Keyfitz have been brought up to date and extended by Kenneth Wachter and Hervé Le Bras, giving a synoptic picture of the leading achievements in formal population studies. Like the original collection, this new edition constitutes an indispensable source for students and scientists alike, and illustrates the deep roots and continuing vitality of mathematical demography.

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Mathematical demography is the centerpiece of quantitative social science. The founding works of this field from Roman times to the late Twentieth Century are collected here, in a new edition of a classic work by David R. Smith and Nathan Keyfitz. Commentaries by Smith and Keyfitz have been brought up to date and extended by Kenneth Wachter and Herve Le Bras, giving a synoptic picture of the leading achievements in formal population studies. Like the original collection, this new edition constitutes an indispensable source for students and scientists alike, and illustrates the deep roots and continuing vitality of mathematical demography.

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Mathematical demography is the centerpiece of quantitative social science. The founding works of this field from Roman times to the late Twentieth Century are collected here, in a new edition of a classic work by David R. Smith and Nathan Keyfitz. Commentaries by Smith and Keyfitz have been brought up to date and extended by Kenneth Wachter and Herve Le Bras, giving a synoptic picture of the leading achievements in formal population studies. Like the original collection, this new edition constitutes an indispensable source for students and scientists alike, and illustrates the deep roots and continuing vitality of mathematical demography.
Content:
Front Matter....Pages i-xxiii
Front Matter....Pages 1-6
Tables of Annuity Values Which Were Sanctioned by the Roman Law for the Purposes of the Lex Falcidia....Pages 7-9
Natural and Political Observations Mentioned in a Following Index, and Made Upon the Bills of Mortality....Pages 11-20
An Estimate of the Degrees of the Mortality of Mankind....Pages 21-26
A Treatise on the Valuation of Annuities and Assurances on Lives and Survivors....Pages 27-34
Statistical Applications of the Mortality Table....Pages 35-38
Formal Treatment of Aggregate Mortality Data....Pages 39-41
A Short Method for Constructing an Abridged Life Table....Pages 43-51
Short Methods of Constructing Abridged Life Tables....Pages 53-60
Life Tables for Natural Populations of Animals....Pages 61-74
Front Matter....Pages 75-77
An Illustration of Population Growth....Pages 79-82
A General Investigation into the Mortality and Multiplication of the Human Species....Pages 83-91
Relation Between Birth Rates and Death Rates....Pages 93-95
A Problem in Age-Distribution....Pages 97-100
The Stability of the Normal Age Distribution....Pages 101-107
Resolving a Historical Confusion in Population Analysis....Pages 109-129
On the Integral Equation of Renewal Theory....Pages 131-156
A New Method for Calculating Lotka’s r — The Intrinsic Rate of Growth in a Stable Population....Pages 157-160
The Fundamental Theorem of Natural Selection....Pages 161-166
How the Age Distribution of a Human Population is Determined....Pages 167-172
On the Reproduction of Organisms with Overlapping Generations....Pages 173-182
Front Matter....Pages 75-77
The Population Consequences of Life History Phenomena....Pages 183-192
Front Matter....Pages 193-195
The Probability of a Cessation of the Growth of Population in England and Wales during the Next Century....Pages 197-205
Population Waves....Pages 207-211
On the Use of Matrices in Certain Population Mathematics....Pages 213-224
Front Matter....Pages 225-230
On the Nature of the Function Expressive of the Law of Human Mortality....Pages 231-234
On the Law of Mortality....Pages 235-240
Calculation of Model Tables....Pages 241-252
Methods of Analysis and Estimation....Pages 253-259
Nuptiality, Fertility, and Reproductivity....Pages 261-268
Model Fertility Tables: Variations in the Age Structure of Childbearing in Human Populations....Pages 269-277
A Note on the Law of Population Growth....Pages 279-285
On the Rate of Growth of the Population of the United States since 1790 and its Mathematical Representation....Pages 287-293
Front Matter....Pages 295-297
First Investigations on the Fecundability of a Woman....Pages 299-303
Theoretical Basis of Measures of Natural Fertility....Pages 305-314
On the Time Required for Conception....Pages 315-323
Back Matter....Pages 325-335

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Mathematical demography is the centerpiece of quantitative social science. The founding works of this field from Roman times to the late Twentieth Century are collected here, in a new edition of a classic work by David R. Smith and Nathan Keyfitz. Commentaries by Smith and Keyfitz have been brought up to date and extended by Kenneth Wachter and Herve Le Bras, giving a synoptic picture of the leading achievements in formal population studies. Like the original collection, this new edition constitutes an indispensable source for students and scientists alike, and illustrates the deep roots and continuing vitality of mathematical demography.
Content:
Front Matter....Pages i-xxiii
Front Matter....Pages 1-6
Tables of Annuity Values Which Were Sanctioned by the Roman Law for the Purposes of the Lex Falcidia....Pages 7-9
Natural and Political Observations Mentioned in a Following Index, and Made Upon the Bills of Mortality....Pages 11-20
An Estimate of the Degrees of the Mortality of Mankind....Pages 21-26
A Treatise on the Valuation of Annuities and Assurances on Lives and Survivors....Pages 27-34
Statistical Applications of the Mortality Table....Pages 35-38
Formal Treatment of Aggregate Mortality Data....Pages 39-41
A Short Method for Constructing an Abridged Life Table....Pages 43-51
Short Methods of Constructing Abridged Life Tables....Pages 53-60
Life Tables for Natural Populations of Animals....Pages 61-74
Front Matter....Pages 75-77
An Illustration of Population Growth....Pages 79-82
A General Investigation into the Mortality and Multiplication of the Human Species....Pages 83-91
Relation Between Birth Rates and Death Rates....Pages 93-95
A Problem in Age-Distribution....Pages 97-100
The Stability of the Normal Age Distribution....Pages 101-107
Resolving a Historical Confusion in Population Analysis....Pages 109-129
On the Integral Equation of Renewal Theory....Pages 131-156
A New Method for Calculating Lotka’s r — The Intrinsic Rate of Growth in a Stable Population....Pages 157-160
The Fundamental Theorem of Natural Selection....Pages 161-166
How the Age Distribution of a Human Population is Determined....Pages 167-172
On the Reproduction of Organisms with Overlapping Generations....Pages 173-182
Front Matter....Pages 75-77
The Population Consequences of Life History Phenomena....Pages 183-192
Front Matter....Pages 193-195
The Probability of a Cessation of the Growth of Population in England and Wales during the Next Century....Pages 197-205
Population Waves....Pages 207-211
On the Use of Matrices in Certain Population Mathematics....Pages 213-224
Front Matter....Pages 225-230
On the Nature of the Function Expressive of the Law of Human Mortality....Pages 231-234
On the Law of Mortality....Pages 235-240
Calculation of Model Tables....Pages 241-252
Methods of Analysis and Estimation....Pages 253-259
Nuptiality, Fertility, and Reproductivity....Pages 261-268
Model Fertility Tables: Variations in the Age Structure of Childbearing in Human Populations....Pages 269-277
A Note on the Law of Population Growth....Pages 279-285
On the Rate of Growth of the Population of the United States since 1790 and its Mathematical Representation....Pages 287-293
Front Matter....Pages 295-297
First Investigations on the Fecundability of a Woman....Pages 299-303
Theoretical Basis of Measures of Natural Fertility....Pages 305-314
On the Time Required for Conception....Pages 315-323
Back Matter....Pages 325-335
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