Also of the Proportionate Numbers of Deaths to the Population of each such District: setting forth the excess in Numbers of Deaths and Funerals in each such District above the proportionate Numbers of Deaths and Funerals in healthy and well-conditioned Town Districts: setting forth also the amount of Reduction of the ordinary Duration of Life of each Class in the District, as compared with the standards of Longevity afforded by the Insurance Tables deduced from the experience of the Population of Carlisle, and of the County of Hereford.

The explanations given in respect to the totals inserted at § 37 are applicable to the annexed district returns, which are only submitted as the best approximations that can be obtained in the present state of the registration. The practical bearing of the consideration of the ages of deaths as well as the proportionate numbers of deaths on the subject of provision for funerals is shown in §§ 72, 75, 76, 78, 79, 80, 81, also §§ 160, 161, 163, 169, 173, and note to § 150, also § 205. For the sake of those who are engaged as members of committees in the investigation of the health of the populous towns and the causes of mortality, it may be of public use to give full explanations of the principles on which returns should be made to measure the relative pressure of those causes in different localities, or amongst different classes of the community: it may also be of use to show the necessity of careful provisions for the registration of facts which are of great importance to every community.

Dr. Price, in his work on Annuities and Reversionary Payments, states that in his time the proportion of deaths in London within the bills of mortality was rather more than 1 to 22 of the population annually, which he states as an equivalent proposition to saying that the average duration of life to all who died was 22 years. Again he observes that—

“One with another, then, they will have an expectation of life of 22½ years; that is, one of 22½ will die every year.” p. 255.

In p. 274, that—

“In the dukedom of Wurtemberg, the inhabitants, Mr. Susmilch says, are numbered every year; and from the average of 5 years, ending in 1754, it appeared that taking the towns and country together, 1 in 32 died annually. In another province which he mentions, consisting of 635,998 inhabitants, 1 in 33 died annually. From these facts he concludes, that, taking a whole country in gross, including all cities and villages, mankind enjoy among them about 32 or 33 years each of existence. This very probably is below the truth; from whence it will follow, that a child born in a country parish or village has at least an expectation of 36 or 37 years; supposing the proportion of country to town inhabitants, to be as 3½ to 1, which, I think, this ingenious writer’s observations prove to be nearly the case in Pomerania, Brandenburg, and some other kingdoms.”

By Mr. Milne, in his work on Annuities, and in his article on Mortality in the last edition of the Encyclopedia Britannica, by Dr. Bissett Hawkins, and by nearly all statistical writers, the proportions of deaths to the population, and the average ages of death, are treated as equivalent. Dr. Southwood Smith has been misled to adopt the same view. He states in his work on the Philosophy of Health, p. 135, that “There is reason to believe that the mortality at present throughout Europe, taking all countries together, including towns and villages, and combining all classes into one aggregate, is 1 in 36. Susmilch, a celebrated German writer, who flourished about the middle of the last century, estimated it at this average at that period. The result of all Mr. Finlaison’s investigations is, that the average for the whole of Europe does not materially differ at the present time.” “It has been shown that the average mortality at present at Ostend is 1 in 36, which is the same thing as to assert that a new-born child at Ostend has an expectation of 35½ years of life.”

Having of late had occasion to make rather extensive observations on this subject, it appears to be a public duty to state, that in no class of persons, in no district or country, and in no tract of time, has the fact hitherto appeared to be in coincidence with this hypothesis; and also that returns of the proportions of deaths to the population, when taken singly as the exponents of the average duration of life, are often mischievously misleading, exaggerating those chances of life sometimes to the extent of double the real amount. If Dr. Price, instead of resting satisfied with Susmilch’s hypothesis, had taken the actual ages of the dying within the bills of mortality, he would have found only a casual approximation to the hypothesis for the whole metropolis; and if he had taken the worst conditioned districts, that, as applied to them, it was in error full one-half. On Mr. Milne’s own data it appears that the proportions of deaths to the population at Carlisle, instead of coinciding with the ascertained average ages of death, 38·72, were in the year 1780, 1 in 35; in 1787, they were 1 in 43; and in 1801, they were 1 in 44. Having caused an average to be deduced from the actual ages of 5,200,141 deaths which occurred in the Prussian States from 1820 to 1834, instead of 36 years, the actual average age of deaths was only 28 years and 10 months. The average ages of death in France, as deduced from Duvillard’s table, founded on the experience of one million of deaths, instead of being 36 years, was 28 years and 5 months.

The public errors created and maintained by taking the proportions of deaths as exponents of the average ages of death, or of the chances of life to the population, may be illustrated by reference to the actual experience amongst nearly two millions of the population, or upwards of forty-five thousand deaths in thirty-two districts, equivalent to as many populous towns, which the Registrar-General has obligingly enabled me to examine for the year 1839.

The Carlisle table is taken as the standard for the duration of life, to measure the loss of life in the several districts, as it gives the probability of life from infancy, well ascertained for one town, and nearly coincides with the experience of the annuity offices on the select class of lives insured by them, and with the results which I have obtained from the mortuary registries showing the average age of death in the county of Hereford. Each of the recognized insurance tables may, however, be used. If the Carlisle table be taken, the chances of life at infancy would be 38·72; by the Chester table it would be 36·70; by the Northampton, 25·18; by the Montpellier table, 25·36; by the last Swedish table, 39·39; by the experience of Geneva, 40·18. After the attainment of twenty years of age these several tables give the chances of life as follows:—by the Carlisle table it would be 41·46; by the Chester table, 36·48; by the Northampton table, 33·43; by the Montpellier table, 37·99; by the Swedish table, 39·98; by the Geneva experience, 37·67; and by the experience of the Equitable Society, 41·67. For civic purposes in this country, the most important period for considering the chances of life is after coming of age, or after the attainment of twenty-one years; the average ages of all who die above that age in each district of the metropolis are therefore given to illustrate the extent of loss of life to each class of adults, which is the more important to be observed, as it has been hastily supposed that the pressure of the more common and removable causes of disease is almost exclusively upon the infant population.