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Essays on Mankind and Political Arithmetic

by William Petty

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Observations Upon the Dublin Bills of Mortality, 1681: And the State of That City

The observations upon the London bills of mortality have been a new light to the world, and the like observation upon those of Dublin may serve as snuffers to make the same candle burn clearer.

The London observations flowed from bills regularly kept for near one hundred years, but these are squeezed out of six straggling London bills, out of fifteen Dublin bills, and from a note of the families and hearths in each parish of Dublin, which are all digested into the one table or sheet annexed, consisting of three parts, marked A, B, C; being indeed the A, B, C of public economy, and even of that policy which tends to peace and plenty.

Observations Upon the Table A.

1. The total of the burials in London (for the said six straggling years mentioned in the Table A) is 120,170, whereof the medium or sixth part is 20,028, and exceeds the burials of Paris, as may appear by the late bills of that city.

2. The births, for the same time, are 73,683, the medium or sixth part whereof is 12,280, which is about five-eighth parts of the burials, and shows that London would in time decrease quite away, were it not supplied out of the country, where are about five births for four burials, the proportion of breeders in the country being greater than in the city.

3. The burials in Dublin for the said six years were 9,865, the sixth part or medium whereof is 1,644, which is about the twelfth part of the London burials, and about a fifth part over. So as the people of London do hereby seem to be above twelve times as many as those of Dublin.

4. The births in the same time at Dublin are 6,157, the sixth part or medium whereof is 1,026, which is also about five-eighth parts of the 1,644 burials, which shows that the proportion between burials and births are alike at London and Dublin, and that the accounts are kept alike, and consequently are likely to be true, there being no confederacy for that purpose; which, if they be true, we then say—

5. That the births are the best way (till the accounts of the people shall be purposely taken) whereby to judge of the increase and decrease of people, that of burials being subject to more contingencies and variety of causes.

6. If births be as yet the measure of the people, and that the births (as has been shown) are as five to eight, then eight-fifths of the births is the number of the burials, where the year was not considerable for extraordinary sickness or salubrity, and is the rule whereby to measure the same. As for example, the medium of births in Dublin was 1,026, the eight-fifths whereof is 1,641, but the real burials were 1,644; so as in the said years they differed little from the 1,641, which was the standard of health, and consequently the years 1680, 1674, and 1668 were sickly years, more or less, as they exceeded the said number, 1,641; and the rest were healthful years, more or less, as they fell short of the same number. But the city was more or less populous, as the births differed from the number 1,026, viz., populous in the years 1680, 1679, 1678, and 1668, for other causes of this difference in births are very occult and uncertain.

7. What hath been said of Dublin, serves also for London.

8. It hath already been observed by the London bills that there are more males than females. It is to be further noted, that in these six London bills, also, there is not one instance either in the births or burials to the contrary.

9. It hath been formerly observed that in the years wherein most die fewest are born, and vice versa. The same may be further observed in males and females, viz., when fewest males are born then most die: for here the males died as twelve to eleven, which is above the mean proportion of fourteen to thirteen, but were born but as nineteen to eighteen, which is below the same.

Observations Upon the Table B.

1. From the Table B it appears that the medium of the fifteen years’ burials (being 24,199) is 1,613, whereas the medium of the other six years in the Table A was 1,644, and that the medium of the fifteen years’ births (being in all 14,765) is 984, whereas the medium of the said other six years was 1,026. That is to say, there were both fewer births and burials in these fifteen years than in the other six years, which is a probable sign that at a medium there were fewer people also.

2. The medium of births for the fifteen years being 984, whereof eight-fifths (being 1,576) is the standard of health for the said fifteen years; and the triple of the said 1,576 being 4,728, is the standard for each of the ternaries of the fifteen years within the said table.

3. That 2,952, the triple of 984 births, is for each ternary the standard of people’s increase and decrease from the year 1666 to 1680 inclusive, viz., the people increased in the second ternary, and decreased from the same in the third and fourth ternaries, but re-increased in the fifth ternary beyond any other.

4. That the last ternary was withal very healthful, the burials being but 4,624, viz., below 4,728, the standard.

5. That according to this proportion of increase, the housing of Dublin have probably increased also.

Observations Upon the Table C.

1. First, from the Table C it appears, 1. That the housing of Dublin is such, as that there are not five hearths in each house one with another, but nearer five than four.

2. That in St. Warburgh’s parish are near six hearths to a house. In St. John’s five. In St. Michael’s above five. In St. Nicholas Within above six. In Christ Church above seven. In St. James’s and St. Katherine’s, and in St. Michan’s, not four. In St. Kevin’s about four.

3. That in St. James’s, St. Michan’s, St. Bride’s, St. Warburgh’s, St. Andrew’s, St. Michael’s, and St. Patrick’s, all the christenings were but 550, and the burials 1,055, viz., near double; and that in the rest of the parishes the christenings were five, and the burials seven, viz., as 457 to 634. Now whether the cause of this difference was negligence in accounts, or the greaterness of the families, &c., is worth inquiring.

4. It is hard to say in what order (as to greatness) these parishes ought to stand, some having most families, some most hearths, some most births, and others most burials. Some parishes exceeding the rest in two, others in three of the said four particulars, but none in all four. Wherefore this table ranketh them according to the plurality of the said four particulars wherein each excelleth the other.

5. The London observations reckon eight heads in each family, according to which estimation, there are 32,000 souls in the 4,000 families of Dublin, which is but half of what most men imagine, of which but about one sixth part are able to bear arms, besides the royal regiment.

6. Without the knowledge of the true number of people, as a principle, the whole scope and use of the keeping bills of births and burials is impaired; wherefore by laborious conjectures and calculations to deduce the number of people from the births and burials, may be ingenious, but very preposterous.

7. If the number of families in Dublin be about 4,000, then ten men in one week (at the charge of about £5 surveying eight families in an hour) may directly, and without algebra, make an account of the whole people, expressing their several ages, sex, marriages, title, trade, religion, &c., and those who survey the hearths, or the constables or the parish clerks (may, if required) do the same ex officio, and without other charge, by the command of the chief governor, the diocesan, or the mayor.

8. The bills of London have since their beginning admitted several alterations and improvements, and £8 or £10 per annum surcharge, would make the bills of Dublin to exceed all others, and become an excellent instrument of Government. To which purpose the forms for weekly, quarterly, and yearly bills are humbly recommended, viz.

Table A — Yearly Bills of Mortality For

LONDONDUBLINLONDON
A.D.BurialsBirthsBurialsBirthsMaleFemaleMaleFemale
168021,05312,7471,8261,09611,03910,0446,5436,041
167921,73012,2881,3971,06111,15410,5766,2476,041
167820,67812,6011,4011,04510,6819,9776,5686,033
167421,20111,8512,10694211,00010,1966,1135,738
167218,23012,5631,4369879,5608,0706,4436,120
166817,27811,6331,6991,0269,1118,1676,0735,566
120,17073,6839,8656,15762,54557,03037,99235,697
The medium or 6th part whereof is part whereof is
20,02812,2801,6441,02610,4249,5056,3325,949

Table B — Dublin

A.D.Burials.Births.In Ternaries of Years
16661,4809524,8212,979
16671,6421,001
16681,6991,026
16691,6661,0005,3533,070
16701,7131,067
16711,9741,003
16721,4369675,0732,842
16731,531933
16742,106942
16751,5788234,3282,672
16761,391952
16771,359897
16781,4011,0454,6243,202
16791,3971,061
16801,8261,096
24,19914,76524,19914,765
The medium or 15th part whereof is
1,6139841,613984

Table C

THE PARISHES OF DUBLINA.D. 1671.A.D., 1670–71–72 at a medium
FamiliesHearthsBirthsBurials
St. Katherine’s and St. James’s6612,399161290
St. Nicholas Without4902,348207262
St. Michan’s6562,301127221
St. Andrew’s with Donnybrook4832,123108178
St. Bridget’s4161,98970100
St. John’s2441,33770138
St. Warburgh’s2671,65054103
St. Audaen’s2161,08153121
St. Michael’s1407934459
St. Kevin’s10643364133
St. Nicholas Within936142834
St. Patrick’s Liberties522552144
Christ Church and Trinity College, per estimate26197—1
3,85017,5001,0131,696
Houses built between 1671 and 1681, per estimate150550
4,00018,150

A Weekly Bill of Mortality for the City of Dublin, Ending the XXX Day of XXX 168175

PARISHES’ NAMES.BirthsMalesFemalesBurialsUnder 16 years oldPlagueSmall PoxMeaslesSpotted Fever
St. Katharine’s and St. James’s
St. Nicholas Without
St. Michan’s
St. Andrew’s with Donnybrook
St. Bridget’s
St. John’s
St. Warburgh’s
St. Audaen’s
St. Michael’s
St. Kevin’s
St. Nicholas Within
St. Patrick’s Liberties
Christ Church and Trinity College
Totals

A Quarterly Bill of Mortality, Beginning XXX and Ending XXX for the City of Dublin76

PARISHES’ NAMES.Births 1.Marriages 2.Buried under 16 years oldsBuried above 60 years oldMeasles, Spotted Fever, Small Pox, PlagueConsumption, Dropsy, Gout, StoneFever, Pleurisy, Quinsy, Sudden DeathAged above 70 years oldInfants under 2 years oldAll other Casualties
St. Katharine’s and St. James’s
St. Nicholas Without
St. Michan’s
St. Andrew’s with Donnybrook
St. Bridget’s
St. John’s
St. Warburgh’s
St. Audaen’s
St. Michael’s
St. Kevin’s
St. Nicholas Within
St. Patrick’s Liberties
Christ Church and Trinity College
Totals

An Account of the People of Dublin for One Year, Ending the 24th of March, 168177

PARISHES’ NAMES.Number of personWhereofMarried PersonsPersons ofProtestantsPapistsOf all other religionsBirthsBurialsMarriages
MalesFemalesUnder 16 years oldAbove 60 years oldof above 16 years old
St. Katharine’s and St. James’s
St. Nicholas Without
St. Michan’s
St. Andrew’s with Donnybrook
St. Bridget’s
St. John’s
St. Warburgh’s
St. Audaen’s
St. Michael’s
St. Kevin’s
St. Nicholas Within
St. Patrick’s Liberties
Christ Church and Trinity College
Totals

Casualties and Diseases

Aged above 70 yearsEpilepsy and planet
Abortive and still-bornFever and ague
Childbed womenPleurisy
ConvulsionQuinsy
TeethExecuted, murdered, drowned
WormsPlague and spotted fever
Gout and sciaticaGriping of the guts
StoneScouring, vomiting bleeding
PalsySmall pox
Consumption and French poxMeasles
Dropsy and tympanyNeither of all the other sorts
Rickets and livergrown
Headache and megrim

A Postscript to the Stationer

Whereas you complain that these observations make no sufficient bulk, I could answer you that I wish the bulk of all books were less; but do nevertheless comply with you in adding what follows, viz.:

1. That the parishes of Dublin are very unequal; some having in them above 600 families, and others under thirty.

2. That thirteen parishes are too few for 4,000 families; the middling parishes of London containing 120 families; according to which rate there should be about thirty-three parishes in Dublin.

3. It is said that there are 84,000 houses or families in London, which is twenty-one times more than are in Dublin, and yet the births and burials of London are but twelve times those of Dublin, which shows that the inhabitants of Dublin are more crowded and straitened in their housing than those of London; and consequently that to increase the buildings of Dublin will make that city more conformable to London.

4. I shall also add some reasons for altering the present forms of the Dublin bills of mortality, according to what hath been here recommended—viz.:

1. We give the distinctions of males and females in the births only; for that the burials must, at one time or another, be in the same proportion with the births.

2. We do in the weekly and quarterly bills propose that notice be taken in the burials of what numbers die above sixty and seventy, and what under sixteen, six, and two years old, foreseeing good uses to be made of that distinction.

3. We do in the yearly bill reduce the casualties to about twenty-four, being such as may be discerned by common sense, and without art, conceiving that more will but perplex and imbroil the account. And in the quarterly bills we reduce the diseases to three heads—viz., contagious, acute, and chronical, applying this distinction to parishes, in order to know how the different situation, soil, and way of living in each parish doth dispose men to each of the said three species; and in the weekly bills we take notice not only of the plague, but of the other contagious diseases in each parish, that strangers and fearful persons may thereby know how to dispose of themselves.

4. We mention the number of the people, as the fundamental term in all our proportions; and without which all the rest will be almost fruitless.

5. We mention the number of marriages made in every quarter, and in every year, as also the proportion which married persons bear to the whole, expecting in such observations to read the improvement of the nation.

6. As for religions, we reduce them to three—viz.: (1) those who have the Pope of Rome for their head; (2) who are governed by the laws of their country; (3) those who rely respectively upon their own private judgments. Now, whether these distinctions should be taken notice of or not, we do but faintly recommend, seeing many reasons pro and con for the same; and, therefore, although we have mentioned it as a matter fit to be considered, yet we humbly leave it to authority.

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