Summary indices of migration age profile

Summary measures of migration age profiles as proposed by Rogers (1975), Bell et. al. (2002), Bell and Muhidin (2009) and Bernard, Bell and Charles-Edwards (2014)

Usage

index_age(
  d = NULL,
  age,
  mi,
  age_min = 5,
  age_max = 65,
  breadth = 5,
  age_col = "age",
  mi_col = "mi",
  long = TRUE
)

Source

Rogers, A. (1975). Introduction to Multiregional Mathematical Demography. Wiley.

Bell, M., Blake, M., Boyle, P., Duke-Williams, O., Rees, P. H., Stillwell, J., & Hugo, G. J. (2002). Cross-national comparison of internal migration: issues and measures. Journal of the Royal Statistical Society: Series A (Statistics in Society), 165(3), 435–464. https://doi.org/10.1111/1467-985X.00247

Bell, M., & Muhidin, S. (2009). Cross-National Comparisons of Internal Migration (Research Paper 2009/30; Human Development Reports).

Bernard, A., Bell, M., & Charles-Edwards, E. (2014). Improved measures for the cross-national comparison of age profiles of internal migration. Population Studies, 68(2), 179–195. https://doi.org/10.1080/00324728.2014.890243

Arguments

d

Data frame of age specific migration intensities. If used, ensure the correct column names are passed to age_col and mi_col.

age

Numeric vector of ages. Used if d = NULL.

mi

Numeric vector of migration intensities corresponding to each value of age. Used if d = NULL.

age_min

Numeric value for minimum age for peak calculations. Taken as 5 by default.

age_max

Numeric value for maximum age for peak calculations. Taken as 65 by default.

breadth

Numeric value for number of age groups around peak to be used in breadth_peak measure. Default of 5.

age_col

Character string of the age column name (when d is provided)

mi_col

Character string of the migration intensities column name (when d is provided)

long

Logical to return a long data frame with index values all in one column

Value

A tibble with 8 summary measures where

gmr

Gross migraproduction rate of Rogers (1975)

peak_mi

Peak migration intensities, from Bell et. al. (2002)

peak_age

Corresponding age of peak_mi, from Bell et. al. (2002)

peak_breadth

Breadth of peak, from Bell and Muhidin (2009)

peak_share

Percentage share of peak breadth of all migration, from Bell and Muhidin (2009)

murc

Maximum upward rate of change of Bernard, Bell and Charles-Edwards (2014)

mdrc

Maximum downward rate of change of Bernard, Bell and Charles-Edwards (2014)

asymmetry

Asymmetry between the murc and mudc, from Bernard, Bell and Charles-Edwards (2014)

Examples

library(dplyr)
#> 
#> Attaching package: ‘dplyr’
#> The following objects are masked from ‘package:stats’:
#> 
#>     filter, lag
#> The following objects are masked from ‘package:base’:
#> 
#>     intersect, setdiff, setequal, union
ipumsi_age %>%
  filter(sample == "BRA2000") %>%
  mutate(mi = migrants/population) %>%
  index_age()
#> # A tibble: 8 × 2
#>   measure        value
#>   <chr>          <dbl>
#> 1 gmr            7.82 
#> 2 peak_mi       14.3  
#> 3 peak_age      24    
#> 4 peak_breadth 147.   
#> 5 peak_share    18.8  
#> 6 murc          19    
#> 7 mdrc          32    
#> 8 asymmetry      0.594
  
ipumsi_age %>%
  group_by(sample) %>%
  mutate(mi = migrants/population) %>%
  index_age(long = FALSE)
#> # A tibble: 2 × 9
#>   sample    gmr peak_mi peak_age peak_breadth peak_share  murc  mdrc asymmetry
#>   <chr>   <dbl>   <dbl>    <dbl>        <dbl>      <dbl> <dbl> <dbl>     <dbl>
#> 1 BRA2000  7.82    14.3       24         147.       18.8    19    32     0.594
#> 2 FRA2006  9.55    29.5       26         295.       30.8    18    30     0.6