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Table 14 Notation list

From: Large-scale spatial population synthesis for Denmark

Variable

Description

Classes

AgeID (a)

Age

a = 1, …, 10

GenderID (g)

Gender

g = 1, 2

IncomeID (i)

Personal income

i = 0, …, 10

LmaID (l)

Labour market association

l = 1, …, 8

FamID (f)

Family structure

f = 1, 2

NumChildID (c)

Number of children

c = 1, …, 4

ZoneID2 (z)

L2 zone level.

z = 1, …, 907

ZoneID0 (z0)

L0 zone level (municipality)

z0 = 1, …, 98

Val

Number of individuals

 

Tga(z0, g, a)

Target for age, gender and ZoneID0

a × g × z0

Tai(z0, a, i)

Target for age, income and ZoneID0

a × i × z0

Tal(z0, a, l)

Target for age, LMA and ZoneID0

a × l × z0

Taf(z0, a, f)

Target for age, family structure and ZoneID0

a × f × z0

\( {\overset{\sim }{T}}_{ag}\left(z0,a,i\right) \)

Harmonised target for age, income and ZoneID0

a × i × z0

\( {\overset{\sim }{T}}_{ag}\left(z0,a,l\right) \)

Harmonised target for age, LMA and ZoneID0

a × l × z0

\( {\overset{\sim }{T}}_{ag}\left(z0,a,f\right) \)

Harmonised target for age, family structure and ZoneID0

a × f × z0

Q(z)

Target and control vector at the level of ZoneID2

z = 1, …, 907

H(z)

New temporary target vector at the ZoneID2 level

z = 1, …, 907

\( \overset{\sim }{H}(z) \)

New temporary harmonised target vector at the ZoneID2 level

z = 1, …, 907

Pk + 1(z, i, l, f, k| z0, a, g)

Marginal probability vector for {z, i, l, f, k| z0, a, g}

All

Tk + 1(z, z0, g, a, i, l, f, c)

Solution at iteration k + 1

All

e

Convergence criteria

1E-6