Ebook: Analytical Theory of Biological Populations
Author: Alfred J. Lotka (auth.)
- Tags: Demography, Statistics general, Sociology general, Public Health, Population Economics
- Series: The Springer Series on Demographic Methods and Population Analysis
- Year: 1998
- Publisher: Springer US
- Edition: 1
- Language: English
- pdf
In the 50 years that have passed since Alfred Latka's death in 1949 his position as the father of mathematical demography has been secure. With his first demographic papers in 1907 and 1911 (the latter co authored with F. R. Sharpe) he laid the foundations for stable population theory, and over the next decades both largely completed it and found convenient mathematical approximations that gave it practical applica tions. Since his time, the field has moved in several directions he did not foresee, but in the main it is still his. Despite Latka's stature, however, the reader still needs to hunt through the old journals to locate his principal works. As yet no exten sive collections of his papers are in print, and for his part he never as sembled his contributions into a single volume in English. He did so in French, in the two part Theorie Analytique des Associations Biologiques (1934, 1939). Drawing on his Elements of Physical Biology (1925) and most of his mathematical papers, Latka offered French readers insights into his biological thought and a concise and mathematically accessible summary of what he called recent contributions in demographic analy sis. We would be accurate in also calling it Latka's contributions in demographic analysis.
Content:
Front Matter....Pages i-xxxi
Front Matter....Pages 1-1
Untitled [On Evolution in Organic and Inorganic Systems]....Pages 3-11
Untitled [On the Direction of Time]....Pages 13-20
Untitled [On Energetics and Uncertainty]....Pages 21-29
Biological Stoichiometry....Pages 31-44
Front Matter....Pages 45-45
Introduction....Pages 47-52
Relations Involving Mortality and Births....Pages 53-111
Relations Involving Fertility....Pages 113-128
The Progeny of a Population Element....Pages 129-143
Indices and Measures of Natural Increase....Pages 145-160
Relations Involving Fertility by Birth Order....Pages 161-168
Relations Involving the Survival Functions of Two Individuals....Pages 169-179
Extinction of a Line of Descent....Pages 181-196
Conclusion....Pages 197-199
Back Matter....Pages 201-220
Content:
Front Matter....Pages i-xxxi
Front Matter....Pages 1-1
Untitled [On Evolution in Organic and Inorganic Systems]....Pages 3-11
Untitled [On the Direction of Time]....Pages 13-20
Untitled [On Energetics and Uncertainty]....Pages 21-29
Biological Stoichiometry....Pages 31-44
Front Matter....Pages 45-45
Introduction....Pages 47-52
Relations Involving Mortality and Births....Pages 53-111
Relations Involving Fertility....Pages 113-128
The Progeny of a Population Element....Pages 129-143
Indices and Measures of Natural Increase....Pages 145-160
Relations Involving Fertility by Birth Order....Pages 161-168
Relations Involving the Survival Functions of Two Individuals....Pages 169-179
Extinction of a Line of Descent....Pages 181-196
Conclusion....Pages 197-199
Back Matter....Pages 201-220
....