| Abdullah Al Mahmud | docs.statmania.info |
That branch of biometry which deals with data and laws of human mortality, morbidity, and demography.
Arthur Newsholme \(\downarrow\)
the whole study of mankind as affected by heredity or environment in so far as the results of this study can be arithmetically stated.
\[d = \frac{P_{0-14}+P_{65+}}{P_{15-64}}\times100\] Where
\(SR = \frac MF \times 100\)
\(D = \frac PA\)
P = Density
A = Area
\(CBR = \frac BP\times 100\)
B = Total no. of alive children in a year
P = Average population of that region in that time
\(\displaystyle GFR = \frac{B}{F_{15-49}}\times 1000\)
B = Total number of live births in a year
\(F_{15-49}\) = Total number of women in reproductive age group (15-49)
\(\displaystyle ASFR_i = \frac{B_i}{F_i}\times 1000\)
\(B_i\) = Total number of live births in a year by the women in ith age group
\(F_i\) = No. of women in ith age group
Total Fertility Rate (TFR) of a population is the average number of children that are born to a woman over her lifetime if:
\(\displaystyle TFR = 5 \sum_{i=1}^7ASFR_i = 5 \sum_{i=1}^7 \frac{B_i}{F_i}\times 1000\)
5 for class interval
\(\displaystyle GRR = 5 \sum_{i=1}^7\frac{G_i}{F_i}\times 1000\)
\(G_i =\) Total number of girl babies born in a year by the women in ith age group
\(\displaystyle NRR = 5 \sum_{i=1}^7\frac{G_i}{F_i}\times S_i\times 1000\)
\(S_i =\) Survival rate of women of reproductive age group (15-49)
\(\displaystyle NFR = 5 \sum_{i=1}^7\frac{B_i}{F_i}\times S_i\times 1000\)
Age | # Women | # Newborn | # Baby boys | Survival probability |
---|---|---|---|---|
15-19 | 7806000 | 521435 | 272342 | 0.980 |
20-24 | 6781000 | 846256 | 422247 | 0.977 |
25-29 | 5840000 | 412342 | 206122 | 0.972 |
30-34 | 5434000 | 326268 | 183134 | 0.960 |
35-39 | 5675000 | 211810 | 111440 | 0.942 |
40-44 | 6083000 | 69750 | 34380 | 0.895 |
45-49 | 5361000 | 42354 | 22462 | 0.854 |
Total population = 109,027,142
Age Group | # Women \(F_i\) | # Newborn \(B_i\) | # Baby boys | # Baby girls \(G_i\) | Survival probability \(S_i\) | \(ASFR_i =\) \(\frac{B_i}{F_i}\times 100\) | \(\frac{G_i}{F_i}\) | \(\frac{G_i}{F_i}\times S_i\) |
---|---|---|---|---|---|---|---|---|
15-19 | 7806 | 521435 | 272342 | 0.980 | ||||
20-24 | 6781 | 846256 | 422247 | 0.977 | ||||
25-29 | 5840 | 412342 | 206122 | 0.972 | ||||
30-34 | 5434 | 326268 | 183134 | 0.960 | ||||
35-39 | 5675 | 211810 | 111440 | 0.942 | ||||
40-44 | 6083 | 69750 | 34380 | 0.895 | ||||
45-49 | 5361 | 42354 | 22462 | 0.854 |
NGR = CBR - CDR
\(\displaystyle \frac BP \times 1000-\frac DP \times 1000 = \frac {B-D}P \times 1000\)
\(P_o =\) Initial population
\(P_n =\) Final population
\(n =\) Number of period (year, month, etc)
\(r =\) Rate of increase
Geometric: \(P_n = P_o(1+r)^n\)
If n is fragmented in smaller periods
Like 100 % in 1 year \(\rightarrow\) 50 % in each half-year
\(P_n = P_o(1+\frac{r}{n})^n\)