Reallocation of membership weights toward high-attribute members

The headline temporal micro-macro term: did the group shift weight mass toward members with high \(x\)? Computes \(\sum_k \Delta w_k x_k\) over the union roster (using each member's observed attribute) plus the reallocation intensity \(\sum_k \bar w_k (\Delta w_k)^2\)-style spread measures.

Usage

bml_realloc(data, group, member, time, weight = NULL, x, t1, t2)

Arguments

data

Member-level long data covering both snapshots.

group, member, time

Column names (strings): group id, member id, and the time variable.

weight

Column name (string) of the raw weight, or NULL for equal weights.

x

Column name (string) of the member attribute.

t1, t2

The two time values to compare.

Value

A data frame with one row per group: realloc_x (\(\sum_k \Delta w_k x_k\); reallocation toward high-x members) and realloc_intensity (\(\sum_k (\Delta w_k)^2\); how much reshuffling happened, regardless of direction).

See also

bml_delta, bml_turnover