On the natural and mathematical laws concerning population, vitality, and mortality : the modifications which the law of mortality receives when referred to different classes of people, and generally the movements of population, in its progress of renewal : with tables of mortality, applicable to five classes of each sex, and other tables, expressing the relations between capital and income under the operation of compound-interest / by Francis Corbaux.

Date:
1833
Catalogue details

Licence: Public Domain Mark

Credit: On the natural and mathematical laws concerning population, vitality, and mortality : the modifications which the law of mortality receives when referred to different classes of people, and generally the movements of population, in its progress of renewal : with tables of mortality, applicable to five classes of each sex, and other tables, expressing the relations between capital and income under the operation of compound-interest / by Francis Corbaux. Source: Wellcome Collection.

Provider: This material has been provided by the Royal College of Physicians of Edinburgh. The original may be consulted at the Royal College of Physicians of Edinburgh.

    97/288 (page 77)
    X to »j as also those differences will form another series A 7>x 5 corresponding with and modifying the series j^., or decrement of the living. 115. That series z^, constitutes a permanent Law of the distributed and relative population, assumed to he stationary. But supposing any other population in progress either of increase or of decrease, through in quantity bearing i similar relation with a geometric proportional between the periodic quantities of births and of deaths, which implies an equal measu^re of the Absolute intensity of life between those supposed populations; the above- mentioned equipoise of distribution will be more or less disturbed in the latter case, accoi-ding to the periodic ratio of such progression, and to the term elapsed since its . commencement, as already explained in the 56* and 57* paragraphs. Two populations however might exist, possessing an equal measure of life's Absolute intensity ; yet such equal measure arising from different elementary quantities of the relative births and of the relative deaths, which yielded a proportional common to both populations; but in that case, neither could the law of distribution be exactly the same, nor the Specific intensities be alike at each corresponding year of age; and the respective cii-cumstances, or conditions of existence, would be more or less different in the detail, notwithstanding that the advantages and disadvantages of those circumstances exhibited an equal balance in their aggregates. 116. What has been stated in the two preceding chapters, relatively to the consideration of joint-lives, implies an extention of the principles there stated to a series Z^ ; which shall indicate a law of the distributed population, supposed to consist of couples, substituted for individuals, such .as might result from a corresponding decrement Y^. — ■