Rogers Castro Age Profile Lookup

Evaluate the seven-parameter Rogers-Castro migration schedule m(x) = a1 exp(-alpha1 x) + a2 + a3 exp(-alpha2 |x - mu2|), covering the childhood decay, baseline level and labor-force peak, at any requested ages.

Description

Evaluate the seven-parameter Rogers-Castro migration schedule m(x) = a1 exp(-alpha1 x) + a2 + a3 exp(-alpha2 |x - mu2|), covering the childhood decay, baseline level and labor-force peak, at any requested ages.

Evaluate the seven-parameter Rogers-Castro migration schedule m(x) = a1 exp(-alpha1 x) + a2 + a3 exp(-alpha2 |x - mu2|), covering the childhood decay, baseline level and labor-force peak, at any requested ages.1

When to use Rogers Castro Age Profile Lookup

Use this migration measure when origins, destinations, reference periods, and the distinction between moves, movers, stocks, and flows are explicit.

Ages
Ages in years at which to evaluate the schedule.
a1
Childhood-term amplitude a1.
alpha1
Childhood-term decay slope alpha1.
a2
Constant baseline intensity a2.
a3
Labor-force peak amplitude a3.
alpha2
Labor-force slope alpha2.
mu2
Labor-force peak location mu2 in years.

How the method works

m(x)
Fitted migration rate at each requested age.

Limitations and assumptions

Migration estimates are sensitive to boundary changes, return moves, duration thresholds, missing origin-destination cells, and whether the source records residence, birthplace, or events.

Alternative or Complementary measures

Compare flow-based estimates with residence or birthplace stocks and, where possible, an independent residual method. Gross inflows and outflows reveal movement that a net balance alone conceals.

References

  1. Human migration — Wikipedia contributors

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