Multiplicative component descriptions of origin-destination flow tables based on total reference coding system.

Usage

multi_comp2(m)

Arguments

m: matrix of migration flows

Value

matrix of multiplicative components of m. When output is an array the total for each table of origin-destination flows is used.

References

Rogers, A., Willekens, F., Little, J., & Raymer, J. (2002). Describing migration spatial structure. Papers in Regional Science, 81(1), 29–48. https://doi.org/10.1007/s101100100090

Raymer, J., Bonaguidi, A., & Valentini, A. (2006). Describing and projecting the age and spatial structures of interregional migration in Italy. Population, Space and Place, 12(5), 371–388. https://doi.org/10.1002/psp.414

Examples

r <- LETTERS[1:2]
m0 <- array(c(5, 1, 2, 7, 4, 2, 5, 9), dim = c(2, 2, 2),
            dimnames = list(orig = r, dest = r, type = c("ILL", "HEALTHY")))
addmargins(m0)
#> , , type = ILL
#> 
#>      dest
#> orig  A B Sum
#>   A   5 2   7
#>   B   1 7   8
#>   Sum 6 9  15
#> 
#> , , type = HEALTHY
#> 
#>      dest
#> orig  A  B Sum
#>   A   4  5   9
#>   B   2  9  11
#>   Sum 6 14  20
#> 
#> , , type = Sum
#> 
#>      dest
#> orig   A  B Sum
#>   A    9  7  16
#>   B    3 16  19
#>   Sum 12 23  35
#> 
multi_comp2(m = m0)
#> , , type = ILL
#> 
#>      dest
#> orig           A          B        Sum
#>   A    1.7857143  0.4761905  0.4666667
#>   B    0.3125000  1.4583333  0.5333333
#>   Sum  0.4000000  0.6000000 15.0000000
#> 
#> , , type = HEALTHY
#> 
#>      dest
#> orig           A          B        Sum
#>   A    1.4814815  0.7936508  0.4500000
#>   B    0.6060606  1.1688312  0.5500000
#>   Sum  0.3000000  0.7000000 20.0000000
#>