Mathematical Demography

The Life Table.- 1. Tables of Annuity Values Which Were Sanctioned by the Roman Law for the Purposes of the Lex Falcidia.- 2. Natural and Political Observations Mentioned in a Following Index, and Made Upon the Bills of Mortality.- 3. An Estimate of the Degrees of the Mortality of Mankind.- 4. A Treatise on the Valuation of Annuities and Assurances on Lives and Survivors.- 5. Statistical Applications of the Mortality Table.- 6. Formal Treatment of Aggregate Mortality Data.- 7. A Short Method for Constructing an Abridged Life Table.- 8. Short Methods of Constructing Abridged Life Tables.- 9. Life Tables for Natural Populations of Animals.- Stable Population Theory.- 10. An Illustration of Population Growth.- 11. A General Investigation into the Mortality and Multiplication of the Human Species.- 12. Relation Between Birth Rates and Death Rates.- 13. A Problem in Age-Distribution.- 14. The Stability of the Normal Age Distribution.- 15. Resolving a Historical Confusion in Population Analysis.- 16. On the Integral Equation of Renewal Theory.- 17. A New Method for Calculating Lotka’s r—The Intrinsic Rate of Growth in a Stable Population.- 18. The Fundamental Theorem of Natural Selection.- 19. How the Age Distribution of a Human Population is Determined.- 20. On the Reproduction of Organisms with Overlapping Generations.- 21. The Population Consequences of Life History Phenomena.- Attempts at Prediction and the Theory they Stimulated.- 22. The Probability of a Cessation of the Growth of Population in England and Wales during the Next Century.- 23. An Empirical Method for Calculating Future Population.- 24. Population Waves.- 25. On the Generation and Growth of a Population.- 26. On the Use of Matrices in Certain Population Mathematics.- 27. Matrix Representation of Changes in the Active Population.- 28. Weak Ergodicity.- 29. Ergodic Properties of Populations I: The One Sex Model.- Parameterization and Curve Fitting.- 30. On the Nature of the Function Expressive of the Law of Human Mortality.- 31. On the Law of Mortality.- 32. Calculation of Model Tables.- 33. Estimates of Fertility and Mortality Based on Reported Age Distributions and Reported Child Survival.- 34. Methods of Analysis and Estimation.- 35. Nuptiality, Fertility, and Reproductivity.- 36. Model Fertility Tables: Variations in the Age Structure of Childbearing in Human Populations.- 37. A Note on the Law of Population Growth.- 38. On the Rate of Growth of the Population of the United States since 1790 and its Mathematical Representation.- 39. The Measurement of Population Distribution.- Probability Models of Conception and Birth.- 40. First Investigations on the Fecundability of a Woman.- 41. Theoretical Basis of Measures of Natural Fertility.- 42. A Note on the Structure of a Stochastic Model.- 43. On the Time Required for Conception.- Branching Theory and Other Stochastic Processes.- 44. On the Probability of the Extinction of Families.- 45. Extinction Probabilities in Branching Processes.- 46. Stochastic Processes and Population Growth.- 47. An Age-Dependent Birth and Death Process.- 48. On the Use of the Direct Matrix Product in Analyzing Certain Stochastic Population Models.- Cohort and Period, Problem of the Sexes, Sampling.- 49. Aspects of Recent Trends in Marriage in England and Wales.- 50. The Relations between Male and Female Reproduction Rates.- 51. The Measurement of Reproductivity.- 52. Stochastic Processes and Population Growth.- 53. Population Growth of the Sexes.- 54. On Future Population.- 55. The Standard Deviation of Sampling for Life Expectancy.- 56. Probability Distributions of Life Table Functions.- References.- Author Index.