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The Pamphlet Collection of Sir Robert Stout: Volume 80a

Children Under Five Years of Age

Children Under Five Years of Age.

The mortality for the first five years of life was derived from the deaths under five years of age in the thirteen years 1880-92, and the births in the twelve years 1880-91 The reason for this is, because the census returns for the page 6 period (0-4) in this colony are found to be defective. This is no new discovery, but has been found to existin the census returns in many countries. The defect consists in misstatement of the ages of children For example. a child of two years and ten months is by some called a child in its third year, and they would return the age as three years, whereas others would call it a child of two years, in one case the age is given as at next birthday, in the other at last birthday, and in this way confusion and error is produced, simply through ambiguity of the language employed.

At the census of 1891, the number of children at each age under five, was returned as follows :—
Under-1 year 16,443
1 and under 2 Years 14,831
2 and under 3 Years 17,263
3 and under 4 Years 17,610
4 and under 5 Years 17,048
But having regard to the number of births and deaths under five years of age for the five years preceding the census, it is found that the numbers given are impossible; hence another method had to be adopted than that of population and deaths. The process employed is that described by the late Professor Pell in the article already referred to, and is in all essentials the same as that need by Dr. Farr when constructing the life table of the healthy districts, England. It has since been followed by Mr. Burridge, Mr Dovey, and others. The births and deaths employed are given in the following Table C :—
Table C. Births and Deaths of Infants Under Five Years of Age in New Zealand, 1630-1691
Males.
Year. Births. Deaths between the Ages
0 to 1. 1 to 2. 2 to 3. 3 to 4. 4 to 5.
1880 9,893 986 183 60 54 31
1881 9,590 937 204 60 49 49
1862 9,712 934 178 32 63 66
1883 9,843 1,079 200 72 57 85
l834 10,131 870 145 77 55 36
1885 10,020 970 176 74 45 31
1886 0,372 1,027 162 56 50 31
1887 9,725 087 154 86 53 £7
1888 9,641 762 140 67 36 33
1889 9,514 798 134 67 34 47
1890 9,293 775 114 64 45 42
1891 9,377 942 160 60 31 43
1892 9,101 910 132 77 41 42
Totals 125,712 12,017 2,088 871 613 503
Females.
1880 9,448 819 174 72 46 33
1881 9,143 744 187 66 57 38
1882. 9,297 744 156 71 54 50
1883 9,359 916 190 61 43 36
1884 9,715 703 156 71 41 30
1885 9,673 786 124 47 47 35
1886 9,427 872 152 74 33 30
1887 9,410 808 157 63 43 29
1888 9,261 684 117 58 42 37
1889 8,943 658 116 45 41 23
1890 8,985 003 100 43 29 29
1891 8,896 725 122 47 36 28
1893 8,776 684 112 60 44 31
Totals. 120,331 9,706 1,862 797 561 120

In the above table the births and deaths for the thirteen years (1880-92) have been added up for a reason which will appear later on. The first step in the process is to sum the births of males for the twelve years 1880-91, the result is 116,611; the next is to sum the deaths in the first year of life for the thirteen years, and then deduct one-half of the deaths in 1880 and 1892 from the total, the result is 11,069, and the probability of dying in the first year of life is found by dividing the deaths 11,069 by 116,611, the number of births, this gives 09492=q0, and this value appears without any adjustment in the mortality table of males opposite age 0. In the same way the deaths of girls are found to be 8,955, and the births 111,556, and dividing the one by the other we get .08097, the probability of dying in the first year of life, and this value appears in the mortality table of females opposite age 0. The arithmetical compliment of .08027 is .91973, and is the probability of a female living one year at birth. The remaining four probabilities were found by similar equations.

The following are the probabilities of living in this colony for the first five years of life compared with those derived from the observations we have already bad under review :
Males.
Ages. New Zeal'nd 1880-92. N. S. W. & Victoria. 1861-91. Healthy District. England Peerage
0 .9051 .8672 .8872 .9218
1 .9821 .9649 .9646 .9838
2 .9923 .9868 .9782 .9914
3 .9949 .9907 .9846 .9952
4 .9958 .9927 .9874 .9957
Females.
0 .9197 .8832 .9074 .9403
1 .9837 .9657 .9681 .9837
2 .9930 .9877 .9783 .9930
3 .9953 .9913 .9847 .9948
4 .9964 .9930 .9874 .9952

It may now be stated that the sum of the births for the period 1880-92 is given for the purpose of bringing into view the sex proportion at birth. In this colony, and for the period under notice, it is found that for every l,000 girls born the number of boys is 1,044.7. This proportion is slightly under the average for some of the Australian colonies, but is above that for England and Wales; there, for the period 1881-90, the proportion was 1,0037 to 1,000. The cause of this physiological fact has never been satisfactorily explained. The sum of the deaths under five years is also given for each year, find for both sexes, for the purpose of showing that while the boys at birth exceed the girls, death claims a larger toll of the male sex than of the female. The deaths of boys in Table C sum up to 16.092, that of the girls to 13,355, and the difference is 2,737. As the difference between the sexes at birth was 5,381, it will be seen that fully one-half of it has disappeared before the fifth year is entered upon.