How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for...

23
Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility - actual births Fertility is a process that evolves over several years (in principle, from menarche to menopause) Several aspects are potentially of interest - several ways to measure it: 1. Number of children at a given age static or 2. the parity progressions dynamic (magnifying glass) How to measure fertility? Fertility - actual births Fertility is a process that evolves over several years (in principle, from menarche to menopause) Several aspects are potentially of interest - several ways to measure it: 1. Number of children at a given age static or 2. the parity progressions dynamic (magnifying glass) How to measure fertility? Fertility - actual births Fertility is a process that evolves over several years (in principle, from menarche to menopause) Several aspects are potentially of interest - several ways to measure it: 1. Number of children at a given age static or 2. the parity progressions dynamic (magnifying glass) How to measure fertility? Fertility - actual births Fertility is a process that evolves over several years (in principle, from menarche to menopause) Several aspects are potentially of interest - several ways to measure it: 1. Number of children at a given age static or 2. the parity progressions dynamic (magnifying glass) How to measure fertility? Fertility - actual births Fertility is a process that evolves over several years (in principle, from menarche to menopause) Several aspects are potentially of interest - several ways to measure it: 1. Number of children at a given age static or 2. the parity progressions dynamic (magnifying glass)

Transcript of How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for...

Page 1: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Soci

oec

onom

icD

eter

min

ants

for

Fer

tilit

y

Met

teG

erst

er

PhD

Def

ense

,Sep

tem

ber

15th

2009

How

tom

easu

refe

rtili

ty?

�Fer

tilit

y-

actu

albirth

s

�Fer

tilit

yis

apr

oce

ssth

atev

olve

sov

erse

vera

lye

ars

(in

prin

ciple

,from

men

arch

eto

men

opau

se)

�Sev

eral

aspec

tsar

epot

ential

lyof

inte

rest

-se

vera

lway

sto

mea

sure

it:

1.N

um

ber

ofch

ildre

nat

agi

ven

age→

stat

icor

2.th

epar

ity

prog

ress

ions→

dyn

amic

(mag

nifyi

ng

glas

s)

How

tom

easu

refe

rtili

ty?

�Fer

tilit

y-

actu

albirth

s

�Fer

tilit

yis

apr

oce

ssth

atev

olve

sov

erse

vera

lye

ars

(in

prin

ciple

,from

men

arch

eto

men

opau

se)

�Sev

eral

aspec

tsar

epot

ential

lyof

inte

rest

-se

vera

lway

sto

mea

sure

it:

1.N

um

ber

ofch

ildre

nat

agi

ven

age→

stat

icor

2.th

epar

ity

prog

ress

ions→

dyn

amic

(mag

nifyi

ng

glas

s)

How

tom

easu

refe

rtili

ty?

�Fer

tilit

y-

actu

albirth

s

�Fer

tilit

yis

apr

oce

ssth

atev

olve

sov

erse

vera

lye

ars

(in

prin

ciple

,from

men

arch

eto

men

opau

se)

�Sev

eral

aspec

tsar

epot

ential

lyof

inte

rest

-se

vera

lway

sto

mea

sure

it:

1.N

um

ber

ofch

ildre

nat

agi

ven

age→

stat

icor

2.th

epar

ity

prog

ress

ions→

dyn

amic

(mag

nifyi

ng

glas

s)

How

tom

easu

refe

rtili

ty?

�Fer

tilit

y-

actu

albirth

s

�Fer

tilit

yis

apr

oce

ssth

atev

olve

sov

erse

vera

lye

ars

(in

prin

ciple

,from

men

arch

eto

men

opau

se)

�Sev

eral

aspec

tsar

epot

ential

lyof

inte

rest

-se

vera

lway

sto

mea

sure

it:

1.N

um

ber

ofch

ildre

nat

agi

ven

age→

stat

icor

2.th

epar

ity

prog

ress

ions→

dyn

amic

(mag

nifyi

ng

glas

s)

How

tom

easu

refe

rtili

ty?

�Fer

tilit

y-

actu

albirth

s

�Fer

tilit

yis

apr

oce

ssth

atev

olve

sov

erse

vera

lye

ars

(in

prin

ciple

,from

men

arch

eto

men

opau

se)

�Sev

eral

aspec

tsar

epot

ential

lyof

inte

rest

-se

vera

lway

sto

mea

sure

it:

1.N

um

ber

ofch

ildre

nat

agi

ven

age→

stat

icor

2.th

epar

ity

prog

ress

ions→

dyn

amic

(mag

nifyi

ng

glas

s)

Page 2: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Det

erm

inan

tsfo

rfe

rtili

ty

�B

iolo

gica

lfa

ctor

s,hea

lth,fe

cundity

�Fac

tors

whic

hpot

ential

lyin

fluen

ceth

e(w

oman

’s)

choi

ce(w

hen

)to

hav

ech

ildre

n�

Iw

illgi

vetw

oex

ample

sof

the

latt

er:

the

soci

oec

onom

icfa

ctor

s

1.ed

uca

tion

and

2.la

bou

rm

arke

tat

tach

men

t

Det

erm

inan

tsfo

rfe

rtili

ty

�B

iolo

gica

lfa

ctor

s,hea

lth,fe

cundity

�Fac

tors

whic

hpot

ential

lyin

fluen

ceth

e(w

oman

’s)

choi

ce(w

hen

)to

hav

ech

ildre

n�

Iw

illgi

vetw

oex

ample

sof

the

latt

er:

the

soci

oec

onom

icfa

ctor

s

1.ed

uca

tion

and

2.la

bou

rm

arke

tat

tach

men

t

Det

erm

inan

tsfo

rfe

rtili

ty

�B

iolo

gica

lfa

ctor

s,hea

lth,fe

cundity

�Fac

tors

whic

hpot

ential

lyin

fluen

ceth

e(w

oman

’s)

choi

ce(w

hen

)to

hav

ech

ildre

n�

Iw

illgi

vetw

oex

ample

sof

the

latt

er:

the

soci

oec

onom

icfa

ctor

s

1.ed

uca

tion

and

2.la

bou

rm

arke

tat

tach

men

t

t

tt−

X(t

−)

tt++

ΔΔt

t−

X(t

−)

Page 3: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

tt++

ΔΔt

t−

X(t

−)

T

X((T

))↔↔

N((T

))

Edu

cation

and

labou

rm

arke

tat

tach

men

tEffec

ton

fert

ility

?

�Subje

ctof

num

erou

sst

udie

sin

the

dem

ogra

phic

liter

ature

for

man

yye

ars

�Eco

nom

ican

dso

ciol

ogic

alth

eory

prov

ide

ath

eore

tica

lfram

ewor

kfo

rth

eunder

lyin

gm

echan

ism

s

�G

ary

Bec

ker,

Nob

elPrize

(eco

nom

ics)

1992

-A

Tre

atise

onth

eFam

ily[B

ecke

r,19

91]

Edu

cation

and

labou

rm

arke

tat

tach

men

tEffec

ton

fert

ility

?

�Subje

ctof

num

erou

sst

udie

sin

the

dem

ogra

phic

liter

ature

for

man

yye

ars

�Eco

nom

ican

dso

ciol

ogic

alth

eory

prov

ide

ath

eore

tica

lfram

ewor

kfo

rth

eunder

lyin

gm

echan

ism

s

�G

ary

Bec

ker,

Nob

elPrize

(eco

nom

ics)

1992

-A

Tre

atise

onth

eFam

ily[B

ecke

r,19

91]

Edu

cation

and

labou

rm

arke

tat

tach

men

tEffec

ton

fert

ility

?

�Subje

ctof

num

erou

sst

udie

sin

the

dem

ogra

phic

liter

ature

for

man

yye

ars

�Eco

nom

ican

dso

ciol

ogic

alth

eory

prov

ide

ath

eore

tica

lfram

ewor

kfo

rth

eunder

lyin

gm

echan

ism

s

�G

ary

Bec

ker,

Nob

elPrize

(eco

nom

ics)

1992

-A

Tre

atise

onth

eFam

ily[B

ecke

r,19

91]

Two

exam

ples

Par

ity

tran

sition

s

�Lab

our

mar

ket

atta

chm

ent

�N

orway

�Sim

ultan

euos

Equat

ions

Model

s

�A

dm

inistr

ativ

ere

gist

erdat

a:Sta

tist

isk

Sen

tral

byra

Ultim

ate

fert

ility

�Educa

tion

alat

tain

men

t

�D

enm

ark

�M

argi

nal

Str

uct

ura

lM

odel

s

�A

dm

inistr

ativ

ere

gist

erdat

a:D

anm

arks

Sta

tist

ik

Two

exam

ples

Par

ity

tran

sition

s

�Lab

our

mar

ket

atta

chm

ent

�N

orway

�Sim

ultan

euos

Equat

ions

Model

s

�A

dm

inistr

ativ

ere

gist

erdat

a:Sta

tist

isk

Sen

tral

byra

Ultim

ate

fert

ility

�Educa

tion

alat

tain

men

t

�D

enm

ark

�M

argi

nal

Str

uct

ura

lM

odel

s

�A

dm

inistr

ativ

ere

gist

erdat

a:D

anm

arks

Sta

tist

ik

Page 4: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Two

exam

ples

Par

ity

tran

sition

s

�Lab

our

mar

ket

atta

chm

ent

�N

orway

�Sim

ultan

euos

Equat

ions

Model

s

�A

dm

inistr

ativ

ere

gist

erdat

a:Sta

tist

isk

Sen

tral

byra

Ultim

ate

fert

ility

�Educa

tion

alat

tain

men

t

�D

enm

ark

�M

argi

nal

Str

uct

ura

lM

odel

s

�A

dm

inistr

ativ

ere

gist

erdat

a:D

anm

arks

Sta

tist

ik

Two

exam

ples

Par

ity

tran

sition

s

�Lab

our

mar

ket

atta

chm

ent

�N

orway

�Sim

ultan

euos

Equat

ions

Model

s

�A

dm

inistr

ativ

ere

gist

erdat

a:Sta

tist

isk

Sen

tral

byra

Ultim

ate

fert

ility

�Educa

tion

alat

tain

men

t

�D

enm

ark

�M

argi

nal

Str

uct

ura

lM

odel

s

�A

dm

inistr

ativ

ere

gist

erdat

a:D

anm

arks

Sta

tist

ik

Two

exam

ples

Par

ity

tran

sition

s

�Lab

our

mar

ket

atta

chm

ent

�N

orway

�Sim

ultan

euos

Equat

ions

Model

s

�A

dm

inistr

ativ

ere

gist

erdat

a:Sta

tist

isk

Sen

tral

byra

Ultim

ate

fert

ility

�Educa

tion

alat

tain

men

t

�D

enm

ark

�M

argi

nal

Str

uct

ura

lM

odel

s

�A

dm

inistr

ativ

ere

gist

erdat

a:D

anm

arks

Sta

tist

ik

Ove

rvie

w

Par

ity

tran

sition

sin

Nor

way

Ultim

ate

fert

ility

inD

enm

ark

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Bac

kgro

und

�Tra

nsition

from

bei

ng

aon

e-ch

ildm

other

toa

two-

child

mot

her

and

from

two-

child

toth

ree-

child

mot

her

�H

owdoes

itdep

end

onher

curr

ent

labou

rm

arke

tat

tach

men

t(e

mplo

yed

vsnon

-em

plo

yed)?

�Is

this

rela

tion

ship

pos

sibly

diff

eren

tac

ross

the

par

itie

s?

�D

ounob

serv

edch

arac

terist

ics

ofth

ewom

enpla

ya

role

?

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Bac

kgro

und

�Tra

nsition

from

bei

ng

aon

e-ch

ildm

other

toa

two-

child

mot

her

and

from

two-

child

toth

ree-

child

mot

her

�H

owdoes

itdep

end

onher

curr

ent

labou

rm

arke

tat

tach

men

t(e

mplo

yed

vsnon

-em

plo

yed)?

�Is

this

rela

tion

ship

pos

sibly

diff

eren

tac

ross

the

par

itie

s?

�D

ounob

serv

edch

arac

terist

ics

ofth

ewom

enpla

ya

role

?

PhD

Def

ense

,Sep

tem

ber

2009

Page 5: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Bac

kgro

und

�Tra

nsition

from

bei

ng

aon

e-ch

ildm

other

toa

two-

child

mot

her

and

from

two-

child

toth

ree-

child

mot

her

�H

owdoes

itdep

end

onher

curr

ent

labou

rm

arke

tat

tach

men

t(e

mplo

yed

vsnon

-em

plo

yed)?

�Is

this

rela

tion

ship

pos

sibly

diff

eren

tac

ross

the

par

itie

s?

�D

ounob

serv

edch

arac

terist

ics

ofth

ewom

enpla

ya

role

?

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Bac

kgro

und

�Tra

nsition

from

bei

ng

aon

e-ch

ildm

other

toa

two-

child

mot

her

and

from

two-

child

toth

ree-

child

mot

her

�H

owdoes

itdep

end

onher

curr

ent

labou

rm

arke

tat

tach

men

t(e

mplo

yed

vsnon

-em

plo

yed)?

�Is

this

rela

tion

ship

pos

sibly

diff

eren

tac

ross

the

par

itie

s?

�D

ounob

serv

edch

arac

terist

ics

ofth

ewom

enpla

ya

role

?

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Stu

dypop

ulat

ion

�A

llwom

enof

NO

-origi

n

�w

hos

efirs

tch

ildre

aches

age

15m

ths

Apr

il19

94-O

ct20

02

�19

-40

year

sol

dat

firs

tbirth

�re

gist

ered

with

apar

tner

atfirs

tbirth

�no

studen

ts

�→

1266

08wom

en

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Stu

dypop

ulat

ion

�A

llwom

enof

NO

-origi

n

�w

hos

efirs

tch

ildre

aches

age

15m

ths

Apr

il19

94-O

ct20

02

�19

-40

year

sol

dat

firs

tbirth

�re

gist

ered

with

apar

tner

atfirs

tbirth

�no

studen

ts

�→

1266

08wom

en

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Stu

dypop

ulat

ion

�A

llwom

enof

NO

-origi

n

�w

hos

efirs

tch

ildre

aches

age

15m

ths

Apr

il19

94-O

ct20

02

�19

-40

year

sol

dat

firs

tbirth

�re

gist

ered

with

apar

tner

atfirs

tbirth

�no

studen

ts

�→

1266

08wom

en

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Why

effec

tof

empl

oym

ent?

�Em

plo

ymen

tst

atus

mig

ht

influen

ceth

edec

isio

nto

hav

eth

enex

tch

ildvi

ase

vera

lch

annel

s:�

Per

iods

away

from

the

labou

rm

arke

tar

epot

ential

lym

ore

cost

lyfo

rwom

enw

ho

are

curr

ently

ina

job

1.lo

ssof

skill

s(h

um

anca

pital

)2.

forg

one

inco

me

�th

erigh

tto

pai

dm

ater

nity

leav

e

�Can

bet

ter

affor

dto

hav

ea

child

?

PhD

Def

ense

,Sep

tem

ber

2009

Page 6: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Why

effec

tof

empl

oym

ent?

�Em

plo

ymen

tst

atus

mig

ht

influen

ceth

edec

isio

nto

hav

eth

enex

tch

ildvi

ase

vera

lch

annel

s:�

Per

iods

away

from

the

labou

rm

arke

tar

epot

ential

lym

ore

cost

lyfo

rwom

enw

ho

are

curr

ently

ina

job

1.lo

ssof

skill

s(h

um

anca

pital

)2.

forg

one

inco

me

�th

erigh

tto

pai

dm

ater

nity

leav

e

�Can

bet

ter

affor

dto

hav

ea

child

?

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Why

effec

tof

empl

oym

ent?

�Em

plo

ymen

tst

atus

mig

ht

influen

ceth

edec

isio

nto

hav

eth

enex

tch

ildvi

ase

vera

lch

annel

s:�

Per

iods

away

from

the

labou

rm

arke

tar

epot

ential

lym

ore

cost

lyfo

rwom

enw

ho

are

curr

ently

ina

job

1.lo

ssof

skill

s(h

um

anca

pital

)2.

forg

one

inco

me

�th

erigh

tto

pai

dm

ater

nity

leav

e

�Can

bet

ter

affor

dto

hav

ea

child

?

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Why

effec

tof

empl

oym

ent?

�Em

plo

ymen

tst

atus

mig

ht

influen

ceth

edec

isio

nto

hav

eth

enex

tch

ildvi

ase

vera

lch

annel

s:�

Per

iods

away

from

the

labou

rm

arke

tar

epot

ential

lym

ore

cost

lyfo

rwom

enw

ho

are

curr

ently

ina

job

1.lo

ssof

skill

s(h

um

anca

pital

)2.

forg

one

inco

me

�th

erigh

tto

pai

dm

ater

nity

leav

e

�Can

bet

ter

affor

dto

hav

ea

child

?

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Why

effec

tof

empl

oym

ent?

�Em

plo

ymen

tst

atus

mig

ht

influen

ceth

edec

isio

nto

hav

eth

enex

tch

ildvi

ase

vera

lch

annel

s:�

Per

iods

away

from

the

labou

rm

arke

tar

epot

ential

lym

ore

cost

lyfo

rwom

enw

ho

are

curr

ently

ina

job

1.lo

ssof

skill

s(h

um

anca

pital

)2.

forg

one

inco

me

�th

erigh

tto

pai

dm

ater

nity

leav

e

�Can

bet

ter

affor

dto

hav

ea

child

?

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Why

effec

tof

empl

oym

ent?

�Em

plo

ymen

tst

atus

mig

ht

influen

ceth

edec

isio

nto

hav

eth

enex

tch

ildvi

ase

vera

lch

annel

s:�

Per

iods

away

from

the

labou

rm

arke

tar

epot

ential

lym

ore

cost

lyfo

rwom

enw

ho

are

curr

ently

ina

job

1.lo

ssof

skill

s(h

um

anca

pital

)2.

forg

one

inco

me

�th

erigh

tto

pai

dm

ater

nity

leav

e

�Can

bet

ter

affor

dto

hav

ea

child

?

PhD

Def

ense

,Sep

tem

ber

2009

Uno

bser

ved

hete

roge

neity

Intu

itio

n

Why

...

�Pos

sibly

influen

cing

the

birth

inte

nsities

(e.g

.m

ore

fam

ily-o

rien

tation

)

�Pos

sibly

influen

cing

the

emplo

ymen

tpr

oce

ss(e

.g.

care

er-o

rien

tation

)

�M

ight

give

rise

toa

spuriou

sre

lation

ship

�Pot

ential

lyco

rrel

ated

�T

he

emplo

ymen

tst

atus

isen

dog

enou

s(a

sop

pos

edto

exog

enou

s)

How

...

�Set

up

model

equat

ions

for

the

birth

sw

ith

random

effec

t

�Set

up

model

equat

ions

for

the

emplo

ymen

tpr

oce

ssw

ith

random

effec

t(s)

�al

low

thes

era

ndom

effec

tsto

be

corr

elat

edby

estim

atin

gth

ese

equat

ions

sim

ultan

eously

Page 7: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Uno

bser

ved

hete

roge

neity

Intu

itio

n

Why

...

�Pos

sibly

influen

cing

the

birth

inte

nsities

(e.g

.m

ore

fam

ily-o

rien

tation

)

�Pos

sibly

influen

cing

the

emplo

ymen

tpr

oce

ss(e

.g.

care

er-o

rien

tation

)

�M

ight

give

rise

toa

spuriou

sre

lation

ship

�Pot

ential

lyco

rrel

ated

�T

he

emplo

ymen

tst

atus

isen

dog

enou

s(a

sop

pos

edto

exog

enou

s)

How

...

�Set

up

model

equat

ions

for

the

birth

sw

ith

random

effec

t

�Set

up

model

equat

ions

for

the

emplo

ymen

tpr

oce

ssw

ith

random

effec

t(s)

�al

low

thes

era

ndom

effec

tsto

be

corr

elat

edby

estim

atin

gth

ese

equat

ions

sim

ultan

eously

Uno

bser

ved

hete

roge

neity

Intu

itio

n

Why

...

�Pos

sibly

influen

cing

the

birth

inte

nsities

(e.g

.m

ore

fam

ily-o

rien

tation

)

�Pos

sibly

influen

cing

the

emplo

ymen

tpr

oce

ss(e

.g.

care

er-o

rien

tation

)

�M

ight

give

rise

toa

spuriou

sre

lation

ship

�Pot

ential

lyco

rrel

ated

�T

he

emplo

ymen

tst

atus

isen

dog

enou

s(a

sop

pos

edto

exog

enou

s)

How

...

�Set

up

model

equat

ions

for

the

birth

sw

ith

random

effec

t

�Set

up

model

equat

ions

for

the

emplo

ymen

tpr

oce

ssw

ith

random

effec

t(s)

�al

low

thes

era

ndom

effec

tsto

be

corr

elat

edby

estim

atin

gth

ese

equat

ions

sim

ultan

eously

Uno

bser

ved

hete

roge

neity

Intu

itio

n

Why

...

�Pos

sibly

influen

cing

the

birth

inte

nsities

(e.g

.m

ore

fam

ily-o

rien

tation

)

�Pos

sibly

influen

cing

the

emplo

ymen

tpr

oce

ss(e

.g.

care

er-o

rien

tation

)

�M

ight

give

rise

toa

spuriou

sre

lation

ship

�Pot

ential

lyco

rrel

ated

�T

he

emplo

ymen

tst

atus

isen

dog

enou

s(a

sop

pos

edto

exog

enou

s)

How

...

�Set

up

model

equat

ions

for

the

birth

sw

ith

random

effec

t

�Set

up

model

equat

ions

for

the

emplo

ymen

tpr

oce

ssw

ith

random

effec

t(s)

�al

low

thes

era

ndom

effec

tsto

be

corr

elat

edby

estim

atin

gth

ese

equat

ions

sim

ultan

eously

Uno

bser

ved

hete

roge

neity

Intu

itio

n

Why

...

�Pos

sibly

influen

cing

the

birth

inte

nsities

(e.g

.m

ore

fam

ily-o

rien

tation

)

�Pos

sibly

influen

cing

the

emplo

ymen

tpr

oce

ss(e

.g.

care

er-o

rien

tation

)

�M

ight

give

rise

toa

spuriou

sre

lation

ship

�Pot

ential

lyco

rrel

ated

�T

he

emplo

ymen

tst

atus

isen

dog

enou

s(a

sop

pos

edto

exog

enou

s)

How

...

�Set

up

model

equat

ions

for

the

birth

sw

ith

random

effec

t

�Set

up

model

equat

ions

for

the

emplo

ymen

tpr

oce

ssw

ith

random

effec

t(s)

�al

low

thes

era

ndom

effec

tsto

be

corr

elat

edby

estim

atin

gth

ese

equat

ions

sim

ultan

eously

Uno

bser

ved

hete

roge

neity

Intu

itio

n

Why

...

�Pos

sibly

influen

cing

the

birth

inte

nsities

(e.g

.m

ore

fam

ily-o

rien

tation

)

�Pos

sibly

influen

cing

the

emplo

ymen

tpr

oce

ss(e

.g.

care

er-o

rien

tation

)

�M

ight

give

rise

toa

spuriou

sre

lation

ship

�Pot

ential

lyco

rrel

ated

�T

he

emplo

ymen

tst

atus

isen

dog

enou

s(a

sop

pos

edto

exog

enou

s)

How

...

�Set

up

model

equat

ions

for

the

birth

sw

ith

random

effec

t

�Set

up

model

equat

ions

for

the

emplo

ymen

tpr

oce

ssw

ith

random

effec

t(s)

�al

low

thes

era

ndom

effec

tsto

be

corr

elat

edby

estim

atin

gth

ese

equat

ions

sim

ultan

eously

Uno

bser

ved

hete

roge

neity

Intu

itio

n

Why

...

�Pos

sibly

influen

cing

the

birth

inte

nsities

(e.g

.m

ore

fam

ily-o

rien

tation

)

�Pos

sibly

influen

cing

the

emplo

ymen

tpr

oce

ss(e

.g.

care

er-o

rien

tation

)

�M

ight

give

rise

toa

spuriou

sre

lation

ship

�Pot

ential

lyco

rrel

ated

�T

he

emplo

ymen

tst

atus

isen

dog

enou

s(a

sop

pos

edto

exog

enou

s)

How

...

�Set

up

model

equat

ions

for

the

birth

sw

ith

random

effec

t

�Set

up

model

equat

ions

for

the

emplo

ymen

tpr

oce

ssw

ith

random

effec

t(s)

�al

low

thes

era

ndom

effec

tsto

be

corr

elat

edby

estim

atin

gth

ese

equat

ions

sim

ultan

eously

Page 8: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Uno

bser

ved

hete

roge

neity

Intu

itio

n

Why

...

�Pos

sibly

influen

cing

the

birth

inte

nsities

(e.g

.m

ore

fam

ily-o

rien

tation

)

�Pos

sibly

influen

cing

the

emplo

ymen

tpr

oce

ss(e

.g.

care

er-o

rien

tation

)

�M

ight

give

rise

toa

spuriou

sre

lation

ship

�Pot

ential

lyco

rrel

ated

�T

he

emplo

ymen

tst

atus

isen

dog

enou

s(a

sop

pos

edto

exog

enou

s)

How

...

�Set

up

model

equat

ions

for

the

birth

sw

ith

random

effec

t

�Set

up

model

equat

ions

for

the

emplo

ymen

tpr

oce

ssw

ith

random

effec

t(s)

�al

low

thes

era

ndom

effec

tsto

be

corr

elat

edby

estim

atin

gth

ese

equat

ions

sim

ultan

eously

Uno

bser

ved

hete

roge

neity

Intu

itio

n

Why

...

�Pos

sibly

influen

cing

the

birth

inte

nsities

(e.g

.m

ore

fam

ily-o

rien

tation

)

�Pos

sibly

influen

cing

the

emplo

ymen

tpr

oce

ss(e

.g.

care

er-o

rien

tation

)

�M

ight

give

rise

toa

spuriou

sre

lation

ship

�Pot

ential

lyco

rrel

ated

�T

he

emplo

ymen

tst

atus

isen

dog

enou

s(a

sop

pos

edto

exog

enou

s)

How

...

�Set

up

model

equat

ions

for

the

birth

sw

ith

random

effec

t

�Set

up

model

equat

ions

for

the

emplo

ymen

tpr

oce

ssw

ith

random

effec

t(s)

�al

low

thes

era

ndom

effec

tsto

be

corr

elat

edby

estim

atin

gth

ese

equat

ions

sim

ultan

eously

Uno

bser

ved

hete

roge

neity

Intu

itio

n

Why

...

�Pos

sibly

influen

cing

the

birth

inte

nsities

(e.g

.m

ore

fam

ily-o

rien

tation

)

�Pos

sibly

influen

cing

the

emplo

ymen

tpr

oce

ss(e

.g.

care

er-o

rien

tation

)

�M

ight

give

rise

toa

spuriou

sre

lation

ship

�Pot

ential

lyco

rrel

ated

�T

he

emplo

ymen

tst

atus

isen

dog

enou

s(a

sop

pos

edto

exog

enou

s)

How

...

�Set

up

model

equat

ions

for

the

birth

sw

ith

random

effec

t

�Set

up

model

equat

ions

for

the

emplo

ymen

tpr

oce

ssw

ith

random

effec

t(s)

�al

low

thes

era

ndom

effec

tsto

be

corr

elat

edby

estim

atin

gth

ese

equat

ions

sim

ultan

eously

Mode

l

Birth

inte

nsitie

s

log

λ2(t

)=

log

λ(2

)0

(t)+

β′ 2·X

(2) (

t−)

log

λ3(t

)=

log

λ(3

)0

(t)+

β′ 3·X

(3) (

t−)

wher

et

den

otes

age

ofpr

evio

us

child

(-15

mon

ths)

Em

ploy

men

tan

dno

n-em

ploy

men

tin

tens

itie

s

log

λe(s

)=

log

λ(e

)0

(s)+

β′ e·X

(e) (

s)

log

λne(s

)=

log

λ(n

e)0

(s)+

β′ ne·X

(ne)

(s)

wher

es

den

otes

tim

esince

beg

innin

gof

each

spel

l

→Sim

ultaneo

us

Equations

Model

(SEM

)

Mode

l

Birth

inte

nsitie

s

log

λ2(t

)=

log

λ(2

)0

(t)+

β′ 2·X

(2) (

t−)

log

λ3(t

)=

log

λ(3

)0

(t)+

β′ 3·X

(3) (

t−)

wher

et

den

otes

age

ofpr

evio

us

child

(-15

mon

ths)

Em

ploy

men

tan

dno

n-em

ploy

men

tin

tens

itie

s

log

λe(s

)=

log

λ(e

)0

(s)+

β′ e·X

(e) (

s)

log

λne(s

)=

log

λ(n

e)0

(s)+

β′ ne·X

(ne)

(s)

wher

es

den

otes

tim

esince

beg

innin

gof

each

spel

l

→Sim

ple

Model

(SM

)

Mode

l

Birth

inte

nsitie

s

log

λ2(t

)=

log

λ(2

)0

(t)+

β′ 2·X

(2) (

t−)+

ε b

log

λ3(t

)=

log

λ(3

)0

(t)+

β′ 3·X

(3) (

t−)+

ε b

wher

et

den

otes

age

ofpr

evio

us

child

(-15

mon

ths)

Em

ploy

men

tan

dno

n-em

ploy

men

tin

tens

itie

s

log

λe(s

)=

log

λ(e

)0

(s)+

β′ e·X

(e) (

s)+

ε e

log

λne(s

)=

log

λ(n

e)0

(s)+

β′ ne·X

(ne)

(s)+

ε ne

wher

es

den

otes

tim

esince

beg

innin

gof

each

spel

l

→Sim

ultaneo

us

Equations

Model

(SEM

)

Page 9: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Not

quite

done

...

Ass

ume

that

�(ε

bε e

ε ne)T

∼N 3

(0,Ω

ε b,ε

e,ε

ne)

�co

nditio

nal

on(ε

bε e

ε ne)T

,th

ese

par

ate

birth

spel

lsfo

rea

chwom

anar

ein

dep

enden

t

�an

dso

are

the

emplo

ymen

tan

dnon

-em

plo

ymen

tsp

ells

Not

quite

done

...

Ass

ume

that

�(ε

bε e

ε ne)T

∼N 3

(0,Ω

ε b,ε

e,ε

ne)

�co

nditio

nal

on(ε

bε e

ε ne)T

,th

ese

par

ate

birth

spel

lsfo

rea

chwom

anar

ein

dep

enden

t

�an

dso

are

the

emplo

ymen

tan

dnon

-em

plo

ymen

tsp

ells

Not

quite

done

...

Ass

ume

that

�(ε

bε e

ε ne)T

∼N 3

(0,Ω

ε b,ε

e,ε

ne)

�co

nditio

nal

on(ε

bε e

ε ne)T

,th

ese

par

ate

birth

spel

lsfo

rea

chwom

anar

ein

dep

enden

t

�an

dso

are

the

emplo

ymen

tan

dnon

-em

plo

ymen

tsp

ells

Not

quite

done

...

Ass

ume

that

�(ε

bε e

ε ne)T

∼N 3

(0,Ω

ε b,ε

e,ε

ne)

�co

nditio

nal

on(ε

bε e

ε ne)T

,th

ese

par

ate

birth

spel

lsfo

rea

chwom

anar

ein

dep

enden

t

�an

dso

are

the

emplo

ymen

tan

dnon

-em

plo

ymen

tsp

ells

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Res

ults

2nd

child

:

Model

SEM

Model

SM

RR

pRR

p

Em

plo

yed

(ref

)1

-1

-N

on-e

mplo

yed

0.92

9<

0.01

0.95

6<

0.01

Con

trol

led

for...

mot

her

’sag

e,ca

lendar

year

,an

ded

uca

tion

.

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Res

ults

3rd

child

:

Model

SEM

Model

SM

RR

pRR

p

Em

plo

yed

(ref

)1

<0.

011

<0.

01N

on-e

mplo

yed

1.09

7<

0.01

1.13

2<

0.01

Con

trol

led

for...

mot

her

’sag

e,ca

lendar

year

,an

ded

uca

tion

PhD

Def

ense

,Sep

tem

ber

2009

Page 10: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Res

ults

Unobse

rved

het

erogen

eity

sd(ε

b)

0.37

9co

rr(ε

b,ε

e)

−0.2

45sd

(εe)

1.43

6co

rr(ε

b,ε

ne)

−0.3

18sd

(εne)

0.78

2co

rr(ε

e,ε

ne)

0.55

1

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Con

clus

ion

Par

ity

tran

sitions

inN

orway

�T

he

seco

nd

birth

inte

nsity

issm

alle

rfo

rnon

-em

plo

yed

wom

en(R

R=

0.93

)

�T

he

third

birth

inte

nsity

isla

rger

for

non

-em

plo

yed

wom

en(R

R=

1.09

7)

�Child

2:w

hen

??

�Child

3:if??

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Con

clus

ion

Par

ity

tran

sitions

inN

orway

�T

he

seco

nd

birth

inte

nsity

issm

alle

rfo

rnon

-em

plo

yed

wom

en(R

R=

0.93

)

�T

he

third

birth

inte

nsity

isla

rger

for

non

-em

plo

yed

wom

en(R

R=

1.09

7)

�Child

2:w

hen

??

�Child

3:if??

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Con

clus

ion

Par

ity

tran

sitions

inN

orway

�T

he

seco

nd

birth

inte

nsity

issm

alle

rfo

rnon

-em

plo

yed

wom

en(R

R=

0.93

)

�T

he

third

birth

inte

nsity

isla

rger

for

non

-em

plo

yed

wom

en(R

R=

1.09

7)

�Child

2:w

hen

??

�Child

3:if??

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Con

clus

ion

Par

ity

tran

sitions

inN

orway

�T

he

seco

nd

birth

inte

nsity

issm

alle

rfo

rnon

-em

plo

yed

wom

en(R

R=

0.93

)

�T

he

third

birth

inte

nsity

isla

rger

for

non

-em

plo

yed

wom

en(R

R=

1.09

7)

�Child

2:w

hen

??

�Child

3:if??

PhD

Def

ense

,Sep

tem

ber

2009

Ove

rvie

w

Par

ity

tran

sition

sin

Nor

way

Ultim

ate

fert

ility

inD

enm

ark

Page 11: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Illus

trat

ion

tt++

ΔΔt

t−

X(t

−)

T

X((T

))↔↔

N((T

))

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Ultim

ate

fert

ility

�N

um

ber

ofch

ildre

nat

age

41

�H

owdoes

itdep

end

oned

uca

tion

alat

tain

men

t?

�Is

this

rela

tion

ship

stat

ic?

�Fee

dbac

k...

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Ultim

ate

fert

ility

�N

um

ber

ofch

ildre

nat

age

41

�H

owdoes

itdep

end

oned

uca

tion

alat

tain

men

t?

�Is

this

rela

tion

ship

stat

ic?

�Fee

dbac

k...

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Ultim

ate

fert

ility

�N

um

ber

ofch

ildre

nat

age

41

�H

owdoes

itdep

end

oned

uca

tion

alat

tain

men

t?

�Is

this

rela

tion

ship

stat

ic?

�Fee

dbac

k...

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Ultim

ate

fert

ility

�N

um

ber

ofch

ildre

nat

age

41

�H

owdoes

itdep

end

oned

uca

tion

alat

tain

men

t?

�Is

this

rela

tion

ship

stat

ic?

�Fee

dbac

k...

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Why

aneff

ect

ofed

ucat

ion

onfe

rtili

ty?

�W

omen

with

ahig

her

educa

tion

mig

ht

hav

ehig

her

oppor

tunity

cost

s-

mor

elik

ely

topurs

ue

aca

reer

�T

hei

rla

bou

rm

arke

tsitu

atio

nm

ight

be

mor

eflex

ible

-ea

sier

toco

mbin

e

�O

ther

fact

ors?

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ere

sourc

es?

PhD

Def

ense

,Sep

tem

ber

2009

Page 12: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Why

aneff

ect

ofed

ucat

ion

onfe

rtili

ty?

�W

omen

with

ahig

her

educa

tion

mig

ht

hav

ehig

her

oppor

tunity

cost

s-

mor

elik

ely

topurs

ue

aca

reer

�T

hei

rla

bou

rm

arke

tsitu

atio

nm

ight

be

mor

eflex

ible

-ea

sier

toco

mbin

e

�O

ther

fact

ors?

Mor

ere

sourc

es?

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Why

aneff

ect

ofed

ucat

ion

onfe

rtili

ty?

�W

omen

with

ahig

her

educa

tion

mig

ht

hav

ehig

her

oppor

tunity

cost

s-

mor

elik

ely

topurs

ue

aca

reer

�T

hei

rla

bou

rm

arke

tsitu

atio

nm

ight

be

mor

eflex

ible

-ea

sier

toco

mbin

e

�O

ther

fact

ors?

Mor

ere

sourc

es?

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

The

stud

ypop

ulat

ion

All

wom

enw

ho...

�bor

nin

1963

�liv

ing

inD

enm

ark

Jan

1st

1981

(and

each

year

1982

-200

5)

�of

Dan

ish

orig

in

�w

ho

hav

eco

mple

ted

apr

epar

ator

yupper

seco

ndar

yed

uca

tion

(PU

SE,da:

Stu

den

tere

ksam

en)

no

late

rth

anO

ctob

er19

83

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Des

crip

tive

sEduca

tion

and

fert

ility

(2005)

Educa

tion

%ch

less

Avg

.ch

ildre

nFre

quen

cyPer

cent

PU

SE

17.8

1.71

1169

14.6

Voca

tion

al13

.21.

8413

1716

.4Shor

tte

rtia

ry14

.71.

8067

28.

4M

ediu

mte

rtia

ry11

.41.

9735

4444

.1Lon

gte

rtia

ry16

.71.

8113

3016

.6

Tot

al13

.81.

8780

3210

0.1

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Des

crip

tive

sEduca

tion

and

fert

ility

(2005)

Educa

tion

%ch

less

Avg

.ch

ildre

nFre

quen

cyPer

cent

PU

SE

17.8

1.71

1169

14.6

Voca

tion

al13

.21.

8413

1716

.4Shor

tte

rtia

ry14

.71.

8067

28.

4M

ediu

mte

rtia

ry11

.41.

9735

4444

.1Lon

gte

rtia

ry16

.71.

8113

3016

.6

Tot

al13

.81.

8780

3210

0.1

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Des

crip

tive

sEduca

tion

and

fert

ility

(2005)

Educa

tion

%ch

less

Avg

.ch

ildre

nFre

quen

cyPer

cent

PU

SE

17.8

1.71

1169

14.6

Voca

tion

al13

.21.

8413

1716

.4Shor

tte

rtia

ry14

.71.

8067

28.

4M

ediu

mte

rtia

ry11

.41.

9735

4444

.1Lon

gte

rtia

ry16

.71.

8113

3016

.6

Tot

al13

.81.

8780

3210

0.1

PhD

Def

ense

,Sep

tem

ber

2009

Page 13: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Des

crip

tive

sEduca

tion

and

fert

ility

(2005)

Educa

tion

%ch

less

Avg

.ch

ildre

nFre

quen

cyPer

cent

PU

SE

17.8

1.71

1169

14.6

Voca

tion

al13

.21.

8413

1716

.4Shor

tte

rtia

ry14

.71.

8067

28.

4M

ediu

mte

rtia

ry11

.41.

9735

4444

.1Lon

gte

rtia

ry16

.71.

8113

3016

.6

Tot

al13

.81.

8780

3210

0.1

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Des

crip

tive

sEduca

tion

and

fert

ility

(2005)

Educa

tion

%ch

less

Avg

.ch

ildre

nFre

quen

cyPer

cent

PU

SE

17.8

1.71

1169

14.6

Voca

tion

al13

.21.

8413

1716

.4Shor

tte

rtia

ry14

.71.

8067

28.

4M

ediu

mte

rtia

ry11

.41.

9735

4444

.1Lon

gte

rtia

ry16

.71.

8113

3016

.6

Tot

al13

.81.

8780

3210

0.1

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Fee

dbac

kIn

tuitio

n �W

ew

ish

toas

sess

tow

hic

hex

tent

educa

tion

aldiff

eren

ces

inultim

ate

fert

ility

are

attr

ibuta

ble

tofe

edbac

kpat

tern

s�

Exa

mple

:�

Ass

um

ewom

enw

ho

bec

ome

mot

her

sw

hile

enro

lled

inuniv

ersity

are

mor

ein

clin

edto

inte

rrupt/

chan

geto

ash

orte

ron

e(d

evia

tefrom

thei

ror

igin

alst

rate

gyas

are

sult

ofth

eir

fert

ility

)�

→fe

wer

child

ren

amon

ghig

hly

educa

ted

wom

en

�T

he

birth

proce

ssitse

lfac

tsas

atim

e-dep

enden

tco

nfo

under

for

the

effec

tof

educa

tion

onfe

rtili

ty

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Fee

dbac

kIn

tuitio

n �W

ew

ish

toas

sess

tow

hic

hex

tent

educa

tion

aldiff

eren

ces

inultim

ate

fert

ility

are

attr

ibuta

ble

tofe

edbac

kpat

tern

s�

Exa

mple

:�

Ass

um

ewom

enw

ho

bec

ome

mot

her

sw

hile

enro

lled

inuniv

ersity

are

mor

ein

clin

edto

inte

rrupt/

chan

geto

ash

orte

ron

e(d

evia

tefrom

thei

ror

igin

alst

rate

gyas

are

sult

ofth

eir

fert

ility

)�

→fe

wer

child

ren

amon

ghig

hly

educa

ted

wom

en

�T

he

birth

proce

ssitse

lfac

tsas

atim

e-dep

enden

tco

nfo

under

for

the

effec

tof

educa

tion

onfe

rtili

ty

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Fee

dbac

kIn

tuitio

n �W

ew

ish

toas

sess

tow

hic

hex

tent

educa

tion

aldiff

eren

ces

inultim

ate

fert

ility

are

attr

ibuta

ble

tofe

edbac

kpat

tern

s�

Exa

mple

:�

Ass

um

ewom

enw

ho

bec

ome

mot

her

sw

hile

enro

lled

inuniv

ersity

are

mor

ein

clin

edto

inte

rrupt/

chan

geto

ash

orte

ron

e(d

evia

tefrom

thei

ror

igin

alst

rate

gyas

are

sult

ofth

eir

fert

ility

)�

→fe

wer

child

ren

amon

ghig

hly

educa

ted

wom

en

�T

he

birth

proce

ssitse

lfac

tsas

atim

e-dep

enden

tco

nfo

under

for

the

effec

tof

educa

tion

onfe

rtili

ty

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Fee

dbac

kIn

tuitio

n �W

ew

ish

toas

sess

tow

hic

hex

tent

educa

tion

aldiff

eren

ces

inultim

ate

fert

ility

are

attr

ibuta

ble

tofe

edbac

kpat

tern

s�

Exa

mple

:�

Ass

um

ewom

enw

ho

bec

ome

mot

her

sw

hile

enro

lled

inuniv

ersity

are

mor

ein

clin

edto

inte

rrupt/

chan

geto

ash

orte

ron

e(d

evia

tefrom

thei

ror

igin

alst

rate

gyas

are

sult

ofth

eir

fert

ility

)�

→fe

wer

child

ren

amon

ghig

hly

educa

ted

wom

en

�T

he

birth

proce

ssitse

lfac

tsas

atim

e-dep

enden

tco

nfo

under

for

the

effec

tof

educa

tion

onfe

rtili

ty

PhD

Def

ense

,Sep

tem

ber

2009

Page 14: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Fee

dbac

kIn

tuitio

n �W

ew

ish

toas

sess

tow

hic

hex

tent

educa

tion

aldiff

eren

ces

inultim

ate

fert

ility

are

attr

ibuta

ble

tofe

edbac

kpat

tern

s�

Exa

mple

:�

Ass

um

ewom

enw

ho

bec

ome

mot

her

sw

hile

enro

lled

inuniv

ersity

are

mor

ein

clin

edto

inte

rrupt/

chan

geto

ash

orte

ron

e(d

evia

tefrom

thei

ror

igin

alst

rate

gyas

are

sult

ofth

eir

fert

ility

)�

→fe

wer

child

ren

amon

ghig

hly

educa

ted

wom

en

�T

he

birth

proce

ssitse

lfac

tsas

atim

e-dep

enden

tco

nfo

under

for

the

effec

tof

educa

tion

onfe

rtili

ty

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Fee

dbac

kIs

itin

the

dat

a?Can

we

rem

ove

it?

1.Is

feed

bac

kpr

esen

tin

the

study

pop

ula

tion

athan

d?

2.If

so,to

whic

hex

tent

are

the

educa

tion

aldiff

eren

ces

inultim

ate

fert

ility

attr

ibuta

ble

toth

efe

edbac

k?

3.Educa

tion

aldiff

eren

ces

inultim

ate

fert

ility

ifth

ere

wer

eno

feed

bac

k?

4.O

ne

par

ticu

lar

aspec

tof

ultim

ate

fert

ility

:W

hat

isth

epr

obab

ility

ofhav

ing

3ch

ildre

nat

age

41fo

rdiff

eren

ted

uca

tion

alat

tain

men

ts?

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Fee

dbac

k(E

ndog

enei

ty)

Defi

nitio

n[H

ernan

etal

.,2001]

�A

ssum

est

udy

pop

ula

tion

follo

wed

thro

ugh

out

the

tim

e-per

iod

{0,1

,...

,T}

�Let

B(t

)be

the

fert

ility

proce

ssan

dE

(t)

the

educa

tion

proce

ss

�Fee

dbac

k:If

ther

eex

ists

t∈{0

,1,.

..,T

}s.t.

the

conditio

n

E(t

)∐ B

(t)|(

E(t

−1)

,Z)

isnot

met

.

�Endogen

eity

(vs.

exogen

eity

)

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Fee

dbac

k(E

ndog

enei

ty)

Defi

nitio

n[H

ernan

etal

.,2001]

�A

ssum

est

udy

pop

ula

tion

follo

wed

thro

ugh

out

the

tim

e-per

iod

{0,1

,...

,T}

�Let

B(t

)be

the

fert

ility

proce

ssan

dE

(t)

the

educa

tion

proce

ss

�Fee

dbac

k:If

ther

eex

ists

t∈{0

,1,.

..,T

}s.t.

the

conditio

n

E(t

)∐ B

(t)|(

E(t

−1)

,Z)

isnot

met

.

�Endogen

eity

(vs.

exogen

eity

)

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Fee

dbac

k(E

ndog

enei

ty)

Defi

nitio

n[H

ernan

etal

.,2001]

�A

ssum

est

udy

pop

ula

tion

follo

wed

thro

ugh

out

the

tim

e-per

iod

{0,1

,...

,T}

�Let

B(t

)be

the

fert

ility

proce

ssan

dE

(t)

the

educa

tion

proce

ss

�Fee

dbac

k:If

ther

eex

ists

t∈{0

,1,.

..,T

}s.t.

the

conditio

n

E(t

)∐ B

(t)|(

E(t

−1)

,Z)

isnot

met

.

�Endogen

eity

(vs.

exogen

eity

)

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Fee

dbac

k(E

ndog

enei

ty)

Defi

nitio

n[H

ernan

etal

.,2001]

�A

ssum

est

udy

pop

ula

tion

follo

wed

thro

ugh

out

the

tim

e-per

iod

{0,1

,...

,T}

�Let

B(t

)be

the

fert

ility

proce

ssan

dE

(t)

the

educa

tion

proce

ss

�Fee

dbac

k:If

ther

eex

ists

t∈{0

,1,.

..,T

}s.t.

the

conditio

n

E(t

)∐ B

(t)|(

E(t

−1)

,Z)

isnot

met

.

�Endogen

eity

(vs.

exogen

eity

)

PhD

Def

ense

,Sep

tem

ber

2009

Page 15: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Isfe

edba

ckpr

esen

tin

the

stud

ypop

ulat

ion?

You

ngm

othe

rsan

ddr

op-o

uts

�M

other

bef

ore

1986

-ed

uca

tion

in20

05?

Table

�Lea

ving

educa

tion

afte

rbirth

-ed

uca

tion

in20

05?

Table

Mode

lpr

obab

ility

ofdr

oppi

ngou

tof

educ

atio

n

�Y

it:

indic

ator

for

wom

ani

inte

rrupting

educa

tion

alen

rolm

ent

inye

art

(con

d.

onbei

ng

enro

lled)

�lo

git

[Pr(

Yit|X

it,Z

i,en

rolle

d)]

+β′ ·

Xit

+γ′ ·

Zi

�In

tera

ctio

nbet

wee

ngi

ving

birth

and

educa

tion

inw

hic

hsh

eis

enro

lled

Illu

stra

tion

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Isfe

edba

ckpr

esen

tin

the

stud

ypop

ulat

ion?

You

ngm

othe

rsan

ddr

op-o

uts

�M

other

bef

ore

1986

-ed

uca

tion

in20

05?

Table

�Lea

ving

educa

tion

afte

rbirth

-ed

uca

tion

in20

05?

Table

Mode

lpr

obab

ility

ofdr

oppi

ngou

tof

educ

atio

n

�Y

it:

indic

ator

for

wom

ani

inte

rrupting

educa

tion

alen

rolm

ent

inye

art

(con

d.

onbei

ng

enro

lled)

�lo

git

[Pr(

Yit|X

it,Z

i,en

rolle

d)]

+β′ ·

Xit

+γ′ ·

Zi

�In

tera

ctio

nbet

wee

ngi

ving

birth

and

educa

tion

inw

hic

hsh

eis

enro

lled

Illu

stra

tion

PhD

Def

ense

,Sep

tem

ber

2009

Edu

cation

aldi

ffer

ence

sif

ther

ewer

eno

feed

back

?M

argin

alStr

uct

ura

lM

odel

s(M

SM

)[H

ernan

etal

.,2001]

Pot

ential

Out

com

es:

Ye:

the

indic

ator

ofbei

ng

am

other

of3

child

ren

(as

oppos

edto

less

than

3)by

age

41if

educa

tion

alst

rate

gye

wer

efo

llowed

Mar

gina

lStr

uctu

ralM

ode

l(M

SM

):

logi

t[ P

r(Y

e=

1|Z

i)] =

δ 1+

ε 1·Z

i+

φ1·f

(e)

How

toas

sess

info

rmat

ion

onpot

ential

outc

omes

?

Use

obse

rved

dat

a-

alon

gw

ith

asu

itab

lese

tof

assu

mption

s

Edu

cation

aldi

ffer

ence

sif

ther

ewer

eno

feed

back

?M

argin

alStr

uct

ura

lM

odel

s(M

SM

)[H

ernan

etal

.,2001]

Pot

ential

Out

com

es:

Ye:

the

indic

ator

ofbei

ng

am

other

of3

child

ren

(as

oppos

edto

less

than

3)by

age

41if

educa

tion

alst

rate

gye

wer

efo

llowed

Mar

gina

lStr

uctu

ralM

ode

l(M

SM

):

logi

t[ P

r(Y

e=

1|Z

i)] =

δ 1+

ε 1·Z

i+

φ1·f

(e)

How

toas

sess

info

rmat

ion

onpot

ential

outc

omes

?

Use

obse

rved

dat

a-

alon

gw

ith

asu

itab

lese

tof

assu

mption

s

Edu

cation

aldi

ffer

ence

sif

ther

ewer

eno

feed

back

?M

argin

alStr

uct

ura

lM

odel

s(M

SM

)[H

ernan

etal

.,2001]

Pot

ential

Out

com

es:

Ye:

the

indic

ator

ofbei

ng

am

other

of3

child

ren

(as

oppos

edto

less

than

3)by

age

41if

educa

tion

alst

rate

gye

wer

efo

llowed

Mar

gina

lStr

uctu

ralM

ode

l(M

SM

):

logi

t[ P

r(Y

e=

1|Z

i)] =

δ 1+

ε 1·Z

i+

φ1·f

(e)

How

toas

sess

info

rmat

ion

onpot

ential

outc

omes

?

Use

obse

rved

dat

a-

alon

gw

ith

asu

itab

lese

tof

assu

mption

s

Mar

gina

lStr

uctu

ralM

ode

ls(c

ontd

)In

vers

eP

robab

ility

ofT

reat

men

tW

eights

�Id

ea:

re-w

eigh

tth

eor

igin

alpop

ula

tion

toco

nst

ruct

ahyp

othet

ical

(pse

udo-

)pop

ula

tion

whic

his

free

offe

edbac

k

SW

i(T

+1)

=∏ s≤

T

Pr( E

i(s)

=e i

s|E

i(s−

1),Z

i)Pr( E

i(s)

=e i

s|E

i(s−

1),B

(s),

Zi)

�Rec

allth

edefi

nitio

nof

feed

bac

k:If

ther

eex

ists

t∈{0

,1,.

..,T

}s.t.

the

conditio

n

E(t

)∐ B

(t)|(

E(t

−1)

,Z)

isnot

met

�T

he

wei

ghts

nee

dto

be

estim

ated

-nee

dm

odel

s

Page 16: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Mar

gina

lStr

uctu

ralM

ode

ls(c

ontd

)In

vers

eP

robab

ility

ofT

reat

men

tW

eights

�Id

ea:

re-w

eigh

tth

eor

igin

alpop

ula

tion

toco

nst

ruct

ahyp

othet

ical

(pse

udo-

)pop

ula

tion

whic

his

free

offe

edbac

k

SW

i(T

+1)

=∏ s≤

T

Pr( E

i(s)

=e i

s|E

i(s−

1),Z

i)Pr( E

i(s)

=e i

s|E

i(s−

1),B

(s),

Zi)

�Rec

allth

edefi

nitio

nof

feed

bac

k:If

ther

eex

ists

t∈{0

,1,.

..,T

}s.t.

the

conditio

n

E(t

)∐ B

(t)|(

E(t

−1)

,Z)

isnot

met

�T

he

wei

ghts

nee

dto

be

estim

ated

-nee

dm

odel

s

Mar

gina

lStr

uctu

ralM

ode

ls(c

ontd

)In

vers

eP

robab

ility

ofT

reat

men

tW

eights

�Id

ea:

re-w

eigh

tth

eor

igin

alpop

ula

tion

toco

nst

ruct

ahyp

othet

ical

(pse

udo-

)pop

ula

tion

whic

his

free

offe

edbac

k

SW

i(T

+1)

=∏ s≤

T

Pr( E

i(s)

=e i

s|E

i(s−

1),Z

i)Pr( E

i(s)

=e i

s|E

i(s−

1),B

(s),

Zi)

�Rec

allth

edefi

nitio

nof

feed

bac

k:If

ther

eex

ists

t∈{0

,1,.

..,T

}s.t.

the

conditio

n

E(t

)∐ B

(t)|(

E(t

−1)

,Z)

isnot

met

�T

he

wei

ghts

nee

dto

be

estim

ated

-nee

dm

odel

s

Mar

gina

lStr

uctu

ralM

ode

ls(c

ontd

)In

vers

eP

robab

ility

ofT

reat

men

tW

eights

�Id

ea:

re-w

eigh

tth

eor

igin

alpop

ula

tion

toco

nst

ruct

ahyp

othet

ical

(pse

udo-

)pop

ula

tion

whic

his

free

offe

edbac

k

SW

i(T

+1)

=∏ s≤

T

Pr( E

i(s)

=e i

s|E

i(s−

1),Z

i)Pr( E

i(s)

=e i

s|E

i(s−

1),B

(s),

Zi)

�Rec

allth

edefi

nitio

nof

feed

bac

k:If

ther

eex

ists

t∈{0

,1,.

..,T

}s.t.

the

conditio

n

E(t

)∐ B

(t)|(

E(t

−1)

,Z)

isnot

met

�T

he

wei

ghts

nee

dto

be

estim

ated

-nee

dm

odel

s

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

The

hypot

hetica

lpop

ulat

ion

The

pse

udo-p

opula

tion

�B

yem

plo

ying

the

wei

ghting

tech

niq

ue

we

get

ahyp

othet

ical

pop

ula

tion

inw

hic

hso

me

wom

enar

e”w

eigh

ted

up”

and

som

ear

e”w

eigh

ted

dow

n”

-an

dby

const

ruct

ion

the

educa

tion

alat

tain

men

tin

2005

isnot

affec

ted

bypr

evio

us

fert

ility

�H

ence

,by

using

this

pop

ula

tion

we

can

answ

erth

eques

tion

What

wou

ldbe

the

educa

tion

aldiff

eren

ces

inth

eodds

ofbei

ng

am

other

of3

-if

ther

ewer

eno

feed

bac

kin

the

dat

a?

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

The

hypot

hetica

lpop

ulat

ion

The

pse

udo-p

opula

tion

�B

yem

plo

ying

the

wei

ghting

tech

niq

ue

we

get

ahyp

othet

ical

pop

ula

tion

inw

hic

hso

me

wom

enar

e”w

eigh

ted

up”

and

som

ear

e”w

eigh

ted

dow

n”

-an

dby

const

ruct

ion

the

educa

tion

alat

tain

men

tin

2005

isnot

affec

ted

bypr

evio

us

fert

ility

�H

ence

,by

using

this

pop

ula

tion

we

can

answ

erth

eques

tion

What

wou

ldbe

the

educa

tion

aldiff

eren

ces

inth

eodds

ofbei

ng

am

other

of3

-if

ther

ewer

eno

feed

bac

kin

the

dat

a?

PhD

Def

ense

,Sep

tem

ber

2009

Exa

mpl

e

Imag

ine

awom

anw

ho...

�Tak

esher

Stu

den

tere

ksam

enin

1983

,en

rols

inuniv

ersity

�B

ecom

esa

mot

her

1984

�Lea

ves

univ

ersity

,st

art

nurs

ing

school

1985

�G

raduat

es19

91,2

mor

ech

ildre

nat

ages

30an

d32

Wei

ghts

:

�Pr( E

i(19

85)

=nurs

e|E

i(19

84),

Zi) =

1 20

�Pr( E

i(19

85)

=nurs

e|E

i(19

84),

B(1

984)

,Zi) =

1 10

�SW

i(20

05)

=1·1

·(10

)/20

·1···1

=0.

5

Page 17: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Exa

mpl

e

Imag

ine

awom

anw

ho...

�Tak

esher

Stu

den

tere

ksam

enin

1983

,en

rols

inuniv

ersity

�B

ecom

esa

mot

her

1984

�Lea

ves

univ

ersity

,st

art

nurs

ing

school

1985

�G

raduat

es19

91,2

mor

ech

ildre

nat

ages

30an

d32

Wei

ghts

:

�Pr( E

i(19

85)

=nurs

e|E

i(19

84),

Zi) =

1 20

�Pr( E

i(19

85)

=nurs

e|E

i(19

84),

B(1

984)

,Zi) =

1 10

�SW

i(20

05)

=1·1

·(10

)/20

·1···1

=0.

5

Exa

mpl

e

Imag

ine

awom

anw

ho...

�Tak

esher

Stu

den

tere

ksam

enin

1983

,en

rols

inuniv

ersity

�B

ecom

esa

mot

her

1984

�Lea

ves

univ

ersity

,st

art

nurs

ing

school

1985

�G

raduat

es19

91,2

mor

ech

ildre

nat

ages

30an

d32

Wei

ghts

:

�Pr( E

i(19

85)

=nurs

e|E

i(19

84),

Zi) =

1 20

�Pr( E

i(19

85)

=nurs

e|E

i(19

84),

B(1

984)

,Zi) =

1 10

�SW

i(20

05)

=1·1

·(10

)/20

·1···1

=0.

5

Exa

mpl

e

Imag

ine

awom

anw

ho...

�Tak

esher

Stu

den

tere

ksam

enin

1983

,en

rols

inuniv

ersity

�B

ecom

esa

mot

her

1984

�Lea

ves

univ

ersity

,st

art

nurs

ing

school

1985

�G

raduat

es19

91,2

mor

ech

ildre

nat

ages

30an

d32

Wei

ghts

:

�Pr( E

i(19

85)

=nurs

e|E

i(19

84),

Zi) =

1 20

�Pr( E

i(19

85)

=nurs

e|E

i(19

84),

B(1

984)

,Zi) =

1 10

�SW

i(20

05)

=1·1

·(10

)/20

·1···1

=0.

5

Res

ults

Act

ual

vs.

hyp

oth

etic

alpopula

tion

Act

ual

:H

ypot

het

ical

:Educa

tion

(200

5)O

Rp-v

alue

OR

p-v

alue

Nev

eren

rolle

d0.

840.

150.

36<

.000

1Pre

ven

rolle

d0.

810.

120.

46<

.000

1Ter

t(s)

/voc

0.92

0.40

0.51

<.0

001

Ter

t(m

)1.

320.

001

0.65

<.0

001

Ter

t(l)

(REF)

1−

1−

Enro

lled:

T(s

)/vo

c2.

540.

021.

130.

80Enro

lled:

T(m

)1.

470.

071.

220.

24Enro

lled:

T(l)

0.97

0.91

1.52

0.01

(con

trol

led

for

bas

elin

eva

riab

les)

Res

ults

Act

ual

vs.

hyp

oth

etic

alpopula

tion

Act

ual

:H

ypot

het

ical

:Educa

tion

(200

5)O

Rp-v

alue

OR

p-v

alue

Nev

eren

rolle

d0.

840.

150.

36<

.000

1Pre

ven

rolle

d0.

810.

120.

46<

.000

1Ter

t(s)

/voc

0.92

0.40

0.51

<.0

001

Ter

t(m

)1.

320.

001

0.65

<.0

001

Ter

t(l)

(REF)

1−

1−

Enro

lled:

T(s

)/vo

c2.

540.

021.

130.

80Enro

lled:

T(m

)1.

470.

071.

220.

24Enro

lled:

T(l)

0.97

0.91

1.52

0.01

(con

trol

led

for

bas

elin

eva

riab

les)

Res

ults

Act

ual

vs.

hyp

oth

etic

alpopula

tion

Act

ual

:H

ypot

het

ical

:Educa

tion

(200

5)O

Rp-v

alue

OR

p-v

alue

Nev

eren

rolle

d0.

840.

150.

36<

.000

1Pre

ven

rolle

d0.

810.

120.

46<

.000

1Ter

t(s)

/voc

0.92

0.40

0.51

<.0

001

Ter

t(m

)1.

320.

001

0.65

<.0

001

Ter

t(l)

(REF)

1−

1−

Enro

lled:

T(s

)/vo

c2.

540.

021.

130.

80Enro

lled:

T(m

)1.

470.

071.

220.

24Enro

lled:

T(l)

0.97

0.91

1.52

0.01

(con

trol

led

for

bas

elin

eva

riab

les)

Page 18: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Res

ults

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Page 19: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Ass

umpt

ions

are

they

poss

ibly

viola

ted?

�4

mai

nas

sum

ption

s:

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han

geab

ility

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easu

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s)Y

e

∐ E|Z

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line

cov

2.N

om

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ifica

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odel

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ghts

Wei

ght

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sist

ency

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itiv

ity

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llof

thes

ear

eim

por

tant→

allsu

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ctto

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sible

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atio

ns

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otte

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le...

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

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ate

fert

ility

inD

enm

ark

Ass

umpt

ions

are

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ption

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ility

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om

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itiv

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ear

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por

tant→

allsu

bje

ctto

pos

sible

viol

atio

ns

�N

otte

stab

le...

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Ass

umpt

ions

are

they

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ibly

viola

ted?

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mai

nas

sum

ption

s:

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han

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ility

(no

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red

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under

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e

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line

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om

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odel

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sist

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itiv

ity

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llof

thes

ear

eim

por

tant→

allsu

bje

ctto

pos

sible

viol

atio

ns

�N

otte

stab

le...

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Ass

umpt

ions

are

they

poss

ibly

viola

ted?

�4

mai

nas

sum

ption

s:

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han

geab

ility

(no

unm

easu

red

confo

under

s)Y

e

∐ E|Z

base

line

cov

2.N

om

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pec

ifica

tion

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odel

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ewei

ghts

Wei

ght

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sist

ency

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itiv

ity

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llof

thes

ear

eim

por

tant→

allsu

bje

ctto

pos

sible

viol

atio

ns

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otte

stab

le...

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

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ate

fert

ility

inD

enm

ark

Ass

umpt

ions

are

they

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ibly

viola

ted?

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nas

sum

ption

s:

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han

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ility

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unm

easu

red

confo

under

s)Y

e

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base

line

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om

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pec

ifica

tion

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odel

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ght

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sist

ency

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itiv

ity

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ear

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por

tant→

allsu

bje

ctto

pos

sible

viol

atio

ns

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otte

stab

le...

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

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ate

fert

ility

inD

enm

ark

Ass

umpt

ions

are

they

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ibly

viola

ted?

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nas

sum

ption

s:

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under

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e

∐ E|Z

base

line

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om

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por

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ctto

pos

sible

viol

atio

ns

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otte

stab

le...

PhD

Def

ense

,Sep

tem

ber

2009

Page 20: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Ass

umpt

ions

are

they

poss

ibly

viola

ted?

�4

mai

nas

sum

ption

s:

1.Exc

han

geab

ility

(no

unm

easu

red

confo

under

s)Y

e

∐ E|Z

base

line

cov

2.N

om

is-s

pec

ifica

tion

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em

odel

sfo

rth

ewei

ghts

Wei

ght

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3.Con

sist

ency

4.Pos

itiv

ity

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llof

thes

ear

eim

por

tant→

allsu

bje

ctto

pos

sible

viol

atio

ns

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otte

stab

le...

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Con

clus

ion

Ultim

ate

fert

ility

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ark

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her

ear

eed

uca

tion

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eren

ces

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ate

fert

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her

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som

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enw

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lled

ined

uca

tion

are

mor

elik

ely

todro

pou

tan

dwom

enw

ho

bec

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mot

her

sea

rly

are

less

likel

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univ

ersity

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ree,

mor

elik

ely

tohav

eno

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her

deg

ree

ora

T(m

)

�T

his

mig

ht

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ya

role

inth

ere

lation

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bet

wee

nultim

ate

fert

ility

and

educa

tion

alat

tain

men

t

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

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orway

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ate

fert

ility

inD

enm

ark

Con

clus

ion

Ultim

ate

fert

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ark

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her

ear

eed

uca

tion

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eren

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ate

fert

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her

eis

som

ete

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cyth

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enw

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mot

her

sw

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uca

tion

are

mor

elik

ely

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pou

tan

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enw

ho

bec

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mot

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sea

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are

less

likel

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ree,

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her

deg

ree

ora

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)

�T

his

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ht

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role

inth

ere

lation

ship

bet

wee

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ate

fert

ility

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educa

tion

alat

tain

men

t

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

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orway

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ate

fert

ility

inD

enm

ark

Con

clus

ion

Ultim

ate

fert

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ark

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her

ear

eed

uca

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eren

ces

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ate

fert

ility

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her

eis

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ete

nden

cyth

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enw

ho

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mot

her

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tion

are

mor

elik

ely

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pou

tan

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enw

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mot

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sea

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less

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ree

ora

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ate

fert

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educa

tion

alat

tain

men

t

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Tha

nkyo

uve

rym

uch!

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

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orway

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ate

fert

ility

inD

enm

ark

Ref

eren

ces

Bec

ker,

G.S.(1

991)

.A

Tre

atise

onth

eFam

ily.

Har

vard

Univ

ersity

Pre

ss,Cam

brid

ge,M

assa

chuss

etts

.

Her

nan

,M

.A

.,B

rum

bac

k,B

.,an

dRob

ins,

J.M

.(2

001)

.M

argi

nal

Str

uct

ura

lM

odel

sto

Est

imat

eth

eJo

int

Cau

sal

Effec

tof

Non

random

ized

Tre

atm

ent.

Journ

alof

the

Am

eric

anSta

tist

ical

Ass

oci

atio

n,96

:440

–448

.

PhD

Def

ense

,Sep

tem

ber

2009

Page 21: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Par

ity

transitions

inN

orway

Ultim

ate

fert

ility

inD

enm

ark

Ass

umpt

ions

for

MSM

sExc

han

gea

bili

ty

Nee

dto

incl

ude

enou

ghbas

elin

eco

variat

es,Z

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within

each

subgr

oup

defi

ned

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ese,

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wom

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le:

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men

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issing?

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lth,m

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her

s?

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ange

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

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orway

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ate

fert

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enm

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Ass

umpt

ions

for

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Nee

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within

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oup

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ese,

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wom

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le:

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ber

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lings

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dgr

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ther

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uca

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tain

men

t

What

’sm

issing?

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lth,m

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her

s?

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ange

PhD

Def

ense

,Sep

tem

ber

2009

Par

ity

transitions

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orway

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ate

fert

ility

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ark

Ass

umpt

ions

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enou

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variat

es,Z

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oup

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ned

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ese,

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wom

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le:

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cludes

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ined

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ePU

SE

2.num

ber

ofm

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lings

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andm

other

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men

t

What

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issing?

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lth,m

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her

s?

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ange

PhD

Def

ense

,Sep

tem

ber

2009

Mode

lfo

rth

ewei

ghts

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ls

log

[ πik

t

πi1

t

] =α

k+

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it+

γk·Z

i,k

=2,

...,

8

log

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it+

γk·Z

i+

δ k1·B

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wher

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vera

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(m)

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ersity→

child

(yes

/no)

Edu(2

005)

PU

SE

Voc/

T(s

)T

(m)

T(l)

Tot

al

Child

24.8

%5.

7%51

.4%

18.1

%10

5N

och

ild16

.7%

10.6

%43

.2%

29.4

%90

2

Int/

Chan

ge17

.6%

10.1

%44

.1%

28.2

%10

07

Go

Back

!

Fin

aled

ucat

iona

lat

tain

men

ts

Eve

ren

rolle

din

univ

ersity

Edu(2

005)

PU

SE

Voc/

T(s

)T

(m)

T(l)

Tot

al

Eve

ryon

e14

.6%

24.8

%44

.1%

16.6

%80

32In

t/Chan

ge17

.6%

10.1

%44

.1%

28.2

%10

07

Eve

ren

rolle

din

univ

ersity→

child

(yes

/no)

Edu(2

005)

PU

SE

Voc/

T(s

)T

(m)

T(l)

Tot

al

Child

24.8

%5.

7%51

.4%

18.1

%10

5N

och

ild16

.7%

10.6

%43

.2%

29.4

%90

2

Int/

Chan

ge17

.6%

10.1

%44

.1%

28.2

%10

07

Go

Back

!

Page 22: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Fin

aled

ucat

iona

lat

tain

men

ts

Eve

ren

rolle

din

univ

ersity

Edu(2

005)

PU

SE

Voc/

T(s

)T

(m)

T(l)

Tot

al

Eve

ryon

e14

.6%

24.8

%44

.1%

16.6

%80

32In

t/Chan

ge17

.6%

10.1

%44

.1%

28.2

%10

07

Eve

ren

rolle

din

univ

ersity→

child

(yes

/no)

Edu(2

005)

PU

SE

Voc/

T(s

)T

(m)

T(l)

Tot

al

Child

24.8

%5.

7%51

.4%

18.1

%10

5N

och

ild16

.7%

10.6

%43

.2%

29.4

%90

2

Int/

Chan

ge17

.6%

10.1

%44

.1%

28.2

%10

07

Go

Back

!

Fin

aled

ucat

iona

lat

tain

men

ts

Eve

ren

rolle

din

univ

ersity

Edu(2

005)

PU

SE

Voc/

T(s

)T

(m)

T(l)

Tot

al

Eve

ryon

e14

.6%

24.8

%44

.1%

16.6

%80

32In

t/Chan

ge17

.6%

10.1

%44

.1%

28.2

%10

07

Eve

ren

rolle

din

univ

ersity→

child

(yes

/no)

Edu(2

005)

PU

SE

Voc/

T(s

)T

(m)

T(l)

Tot

al

Child

24.8

%5.

7%51

.4%

18.1

%10

5N

och

ild16

.7%

10.6

%43

.2%

29.4

%90

2

Int/

Chan

ge17

.6%

10.1

%44

.1%

28.2

%10

07

Go

Back

!

Fin

aled

ucat

iona

lat

tain

men

ts

Eve

ren

rolle

din

univ

ersity

Edu(2

005)

PU

SE

Voc/

T(s

)T

(m)

T(l)

Tot

al

Eve

ryon

e14

.6%

24.8

%44

.1%

16.6

%80

32In

t/Chan

ge17

.6%

10.1

%44

.1%

28.2

%10

07

Eve

ren

rolle

din

univ

ersity→

child

(yes

/no)

Edu(2

005)

PU

SE

Voc/

T(s

)T

(m)

T(l)

Tot

al

Child

24.8

%5.

7%51

.4%

18.1

%10

5N

och

ild16

.7%

10.6

%43

.2%

29.4

%90

2

Int/

Chan

ge17

.6%

10.1

%44

.1%

28.2

%10

07

Go

Back

!

Mot

hers

byJa

n1s

t19

86by

educ

atio

n(2

005)

Mot

her

PU

SE

Voc

T(s

)T

(m)

T(l)

Tot

al

No

14.4

%16

.2%

8.5%

44.0

%17

.0%

7677

Yes

18.0

%21

.4%

6.5%

47.6

%6.

5%35

5

Tot

al14

.6%

16.4

%8.

4%44

.1%

16.6

%80

32

Go

Back

!

Mot

hers

byJa

n1s

t19

86by

educ

atio

n(2

005)

Mot

her

PU

SE

Voc

T(s

)T

(m)

T(l)

Tot

al

No

14.4

%16

.2%

8.5%

44.0

%17

.0%

7677

Yes

18.0

%21

.4%

6.5%

47.6

%6.

5%35

5

Tot

al14

.6%

16.4

%8.

4%44

.1%

16.6

%80

32

Go

Back

!

Mot

hers

byJa

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t19

86by

educ

atio

n(2

005)

Mot

her

PU

SE

Voc

T(s

)T

(m)

T(l)

Tot

al

No

14.4

%16

.2%

8.5%

44.0

%17

.0%

7677

Yes

18.0

%21

.4%

6.5%

47.6

%6.

5%35

5

Tot

al14

.6%

16.4

%8.

4%44

.1%

16.6

%80

32

Go

Back

!

Page 23: How to measure fertility? parity progressions - demografi.dk · Socioeconomic Determinants for Fertility Mette Gerster PhD Defense, September 15th 2009 How to measure fertility? Fertility

Isfe

edba

ckpr

esen

tin

the

stud

ypop

ulat

ion?

Go

Back

!

Bir

th t

his

year

log odds

Up

2 (

voc)

Te

rt(s

)T

ert

(m)

Te

rt(l)

Intercept −4−3−2

Birth

No

birth

β1

=1

.27

β2

=0

.34

β3

=0

.39

β4

=0

.3