This function reproduces calculations through column H of CENSUR~1.XLS by Griff Feeney. Censuses are assumed to be spaced 10 years apart and population counts for both censuses in 5-year age groups. The staggered ratio of these approximates lifetable function npx =1-nqx, i.e. probability of surviving between age x and age x+n. The cumulative product of this approximates the survival function lx.
surv10(pop1, pop2)
| pop1 | numeric. Vector of population counts in 5-year age groups of census 1. |
|---|---|
| pop2 | numeric. Vector of population counts in 5-year age groups of census 2. |
Survival function lx as a numeric vector with radix 1.
Checking for census spacing of 10 years must happen prior to this function. Also, we assume the open age group has already been trimmed off.
# 1960 vs 1970 pops pop1 <- c(3831870,4502304,5397061,4630775,4193184,4114704,3770907,3274822, 2744786,2559755,2160716,1839025,1494043,1133409,870238,577972,313781) pop2 <- c(4292503,3988292,3852101,4492096,5347327,4571868,4190340,4085338, 3674127,3198934,2648360,2382691,1970485,1584699,1172155,736258,408191) surv10(pop1,pop2)#> [1] 1.0000000 1.0026398 1.0052797 1.0003666 0.9960160 0.9876411 0.9953405 #> [8] 0.9805925 0.9697951 0.9578691 0.9357256 0.8916111 0.8533437 0.7683067 #> [15] 0.6694928 0.4990890 0.3140301