Universidade de Vigo

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Gender segregation in the Spanish labor Gender segregation in the Spanish labor market: market: An alternative approach An alternative approach Coral del Río and Olga Alonso-Villar Coral del Río and Olga Alonso-Villar Universidade de Vigo Universidade de Vigo

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Gender segregation in the Spanish labor market: An alternative approach Coral del Río and Olga Alonso-Villar. Universidade de Vigo. Background: Overall segregation in the case of two categories. Index of dissimilarity (Duncan and Duncan, 1955):. - PowerPoint PPT Presentation

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Page 1: Universidade de Vigo

Gender segregation in the Spanish labor market: Gender segregation in the Spanish labor market:

An alternative approachAn alternative approach

Coral del Río and Olga Alonso-VillarCoral del Río and Olga Alonso-Villar

Universidade de Vigo Universidade de Vigo

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Background: Overall segregation in the case of two categories

Index of dissimilarity (Duncan and Duncan, 1955):

fi is the number of female workers in occupation i; mi is the number of male workers.

F is the total number of female workers and M is the total number of male workers.

1

2i i

i

f mID

F M

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Background: Overall segregation in the case of two categories

Gini index (Silber, 1989):,

2

j ji i

i j i j

t ft f

T T m mG

FM

KM index (Karmel and Maclachlan, 1988):1

i ii

F MKM m f

T T T

Hutchens’ indexes (Hutchens, 2004):1

1 if 0,1( 1)

a

i i

i i

m f FH a

a a M m M

Characterized in terms of axioms

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* 1

2i i

fi

f tID

F T

Moir and Selby Smith (1979) and Lewis (1982):

* 1

2i i

mi

m tID

M T

ti is the number of workers in occupation i and T is the total number of workers

Background: Local segregation in the case of two categories

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Background : Segregation in the case of multiple categories

• Silber (1992) Karmel and Maclachlan

• Boisso et al. (1994) Gini

• Reardon and Firebaugh (2002) inequality measures/ axioms

• Frankel and Volij (2007):

1. Established a set of axioms for the measurement of overall segregation

2. Characterized the Mutual information index

Alonso-Villar and Del Río (2008):

1. Established a set of axioms for the measurement of local segregation

2. Characterized a family of local segregation measures

3. Proposed several local measures consistent with overall measures

Overall

Local

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Background: Alonso-Villar and Del Río (2008):

11 if 0,1

( 1)( ; )

1ln if 1

T

a

j j

j j

a

j jj

j j j

t c Ca

a a T t Tc t

c C c Ct a

t T t T

Decomposable

,

2

ggj ji i

i j i jgg

t ct c

T T t tG

CT

1

2

gj jgg

j

c tD

C T

1 2, ,..., Jt t t t

1 2, ,...,g g g gJc c c c

j ---> occupation

g ----> target group (female workers)

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Background: Alonso-Villar and Del Río (2008):

BASIC PROPERTIES:

• Scale invariance

• Symmetry in groups

• Movements between groups

• Insensitivity to proportional divisions

ADDITIONAL PROPERTY:

• Aggregation

g g, G , Dga

ga

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Silber (1992) extended the M-K index to the multigroup case, which he denoted as pI ,

this overall index is the weighted mean of our index gD for each population subgroup:

gg

pg

CI D

T .

The Gini index, G , proposed by Reardon and Firebaugh (2002) to measure overall

segregation is the weighted mean of our index gG for each population subgroup:

gg

g

CG G

T .

The Mutual information index proposed by Frankel and Volij (2007) to measure overall

segregation in a multigroup context is the weigthed mean of our index 1 for each

population subgroup:

1 ;g

g

g

CM c t

T

Background: Alonso-Villar and Del Río (2008):

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Background: Alonso-Villar and Del Río (2008):

Local segregation curve:

where ij

i j

t

T

is the proportion of cumulative employment represented by the first j

categories (occupations-sectors) lined up in ascending order of the ratio j

j

c

t

( 1,...,j J ).

( ; )( )g

gi

i jgj gc t

c

SC

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Background: Alonso-Villar and Del Río (2008):

Local segregation curve:

Theorem 1. Let us consider two vectors ; , '; 'g gc t c t D . ; '; 'g g

g g

c t c tS S if and only if

; '; 'g gc t c t for any local segregation index satisfying axioms 1, 3, 4 and 5. the above axioms

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The aim of this paper:

1. To analyze occupational segregation by gender in Spain

2. In doing so, the local and overall indexes mentioned above are used

3. In addition, two decompositions of the local segregation curves are proposed:

• One by groups of occupations

• Another by population subgroups

4. These decompositions are used to go further in the empirical analysis

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Descomposing local segregation curves

i) Decomposition by subgroups of occupations: 1 2 1 2( ; ) ( , ; , )c t c c t t

ii) Decomposition by population subgroups: 1 1 1( ,..., ) ( ,..., )A B A BJ J Jc c c c c c

1 2

1 2

( ; ) ( ; ) ( ; )( ) ( ) ( )g g g

g gg g g

j j jg gc t c t c t

C CS S S

C C

( ; ) ( ; ) ( ; )( ) ( ) ( )g A B

A Bg A B

j j jg gc t c t c t

C CS S S

C C

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LOCAL SEGREGATION 0.1 0.5 1 2 gD gG

Employment share

(%)

FEMALE SEGREGATION 0.57 0.42 0.33 0.27 0.33 0.42 41

MALE SEGREGATION 0.20 0.18 0.15 0.13 0.23 0.29 59

OVERALL SEGREGATION M pI G

GENDER SEGREGATION 0.22 0.27 0.35

FEMALE CONTRIBUTION (%) 59.8 50 50

MALE CONTRIBUTION (%) 40.2 50 50

Table 1. Local and overall segregation indexes (2 target groups), and employment shares.

Occupational segregation in Spain: EPA, 2007, 2nd quarter

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Young: 16 - 29 -- Middle-aged: 30 - 44 -- Elderly: >= 45 years old

0

0,2

0,4

0,6

0,8

1

0,0 0,2 0,4 0,6 0,8 1,0

Cumulative employment

Cum

ulat

ive

targ

et g

roup

s .

Young females Middle-aged females

Elderly females Equity

0

0,2

0,4

0,6

0,8

1

0,0 0,2 0,4 0,6 0,8 1,0Cumulative employment

Cum

ulat

ive

targ

et g

roup

s .

Young males Middle-aged males

Elderly males Equity

Figure 2. Local segregation curves by gender and age (6 target groups)

AGE

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a)

LOCAL SEGREGATION 0.1 0.5 1 2 gD

gG

Decomposition of female/male segregation by

age 2

(%)

Distribution of female/male

workers between groups of age (%)

FEMALE WORKERS 100 100

<30 years old 0.67 0.49 0.40 0.38 0.37 0.48 24.79 25.28 30 to 44 years

old 0.57 0.41 0.32 0.26 0.32 0.42

43.06 44.69

>45 years old 0.80 0.53 0.42 0.39 0.36 0.49 32.15 30.03 MALE

WORKERS 100 100

<30 years old 0.35 0.31 0.29 0.30 0.31 0.42 25.72 22.98 30 to 44 years

old 0.22 0.19 0.17 0.15 0.24 0.31

44.71 43.24

>45 years old 0.23 0.19 0.17 0.15 0.24 0.32 29.57 33.79 Table 2. Occupational segregation by sex and age (6 target groups), decomposition by age, and distribution of female and male workers by age.

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0

10

20

30

40

50

60

70

80

90

100

Young females Middle-agedfemales

Elderlyfemales

Decomposition of the female segregation curve by age groups

Ventile 1 Ventile 2 Ventile 3 Ventile 4 Ventile 5

0

10

20

30

40

50

60

70

80

90

100

Young males Middle-agedmales

Elderly males

Descomposition of the male segregation curve by age groups

Ventile 1 Ventile 2 Ventile 3 Ventile 4 Ventile 5

Figure 3: Decomposing local segregation curves by age groups.

45% 40%

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LOCAL SEGREGATION 0.1 0.5 1 2 *D

*G

Decomposition of

female/male segregation by education,

2 (%)

Distribution of female/male

workers between

educational groups

(%) FEMALE

WORKERS 100 100

Low-educated 1.55 0.81 0.67 0.72 0.49 0.61 40.87 37.05 Intermediate-

educated 1.20 0.67 0.54 0.53 0.44 0.55

27.26 24.82

High-educated 1.07 0.72 0.62 0.70 0.45 0.59 31.87 38.13 MALE

WORKERS 100 100

Low-educated 1.22 0.56 0.44 0.40 0.40 0.50 66.43 48.25 Intermediate-

educated 0.69 0.30 0.23 0.19 0.26 0.35

21.00 22.84

High-educated 0.48 0.43 0.41 0.49 0.37 0.50 12.57 28.91

Table 3. Occupational segregation by sex and education (6 target groups), decomposition of 2 ,

and distribution of female and male workers by education level.

Education level

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a)

0

10

20

30

40

50

60

70

80

90

100

Low Intermediate High

Descomposition of the female segregation curve by educational groups

Ventile 1 Ventile 2 Ventile 3 Ventile 4 Ventile 5

0

10

20

30

40

50

60

70

80

90

100

Low Intermediate High

Descomposition of the male segregation curve by educational groups

Ventile 1 Ventile 2 Ventile 3 Ventile 4 Ventile 5

Figure 5: Decomposing local segregation curves by educational groups.

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LOCAL SEGREGATION 0.1 0.5 1 2 *D

*G

Decomposition of female/male

segregation by type of contract,

2 (%)

Distribution of female/male

workers between groups

(%)

FEMALE WORKERS 100 100

Permanent 0.67 0.46 0.35 0.28 0.34 0.43 66.21 66.74 Temporary 0.61 0.46 0.38 0.35 0.36 0.47 33.79 33.26

MALE WORKERS 100 100

Permanent 0.24 0.21 0.18 0.17 0.25 0.33 59.36 69.22 Temporary 0.50 0.46 0.45 0.53 0.39 0.52 40.64 30.78

Table 4. Occupational segregation by sex and type of contract (4 target groups), decomposition of

2 , and distribution of female and male workers by type of contract.

Type of contract

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0

10

20

30

40

50

60

70

80

90

100

Permanent Temporary

Descomposition of the female segregation curve by type of contract

Ventile 1 Ventile 2 Ventile 3 Ventile 4 Ventile 5

0

10

20

30

40

50

60

70

80

90

100

Permanent Temporary

Descomposition of the male segregation curve by type of contract

Ventile 1 Ventile 2 Ventile 3 Ventile 4 Ventile 5

Figure 6: Decomposing local segregation curves by type of contract.

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LOCAL SEGREGATION 0.1 0.5 1 2 *D

*G

Decomposition of female/male segregation by type of job,

2 (%)

Distribution of female/male

workers between groups

(%)

FEMALE WORKERS 100 100

Full-time 0.52 0.38 0.30 0.24 0.31 0.40 68.66 76.97 Part-time 1.12 0.72 0.62 0.75 0.45 0.59 31.34 23.03

MALE WORKERS 100 100

Full-time 0.22 0.19 0.17 0.14 0.24 0.31 99.68 95.71 Part-time 0.40 0.36 0.37 0.50 0.34 0.46 0.32 4.29

Table 5. Occupational segregation by sex and type of job (4 target groups), decomposition of 2 ,

and distribution of female and male workers by type of job.

Type of job

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0

10

20

30

40

50

60

70

80

90

100

Full-time Part-time

Descomposition of the female segregation curve by type of job

Ventile 1 Ventile 2 Ventile 3 Ventile 4 Ventile 5

0

10

20

30

40

50

60

70

80

90

100

Full-time Part-time

Descomposition of the male segregation curve by type of job

Ventile 1 Ventile 2 Ventile 3 Ventile 4 Ventile 5

Figure 8: Decomposing local segregation curves by type of job.

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1) Female segregation explains, at least, 50% of overall gender segregation, even though the demographic weight of women in the labor force is 41%.

2) Within the female group, the young and the elderly are the ones suffering the highest occupational segregation.

3) Regarding males, segregation is higher for young workers.

Conclusions 1/2

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4) Human capital increases do not necessarily reduce segregation, since for both women and men, the educational group with the lowest segregation level is that with intermediate-education.

5) The type of contract (permanent versus temporary) is more important to explain male segregation than female segregation.

6) Part-time jobs have more power to explain female segregation, since women working part-time tend to concentrate in the most feminized occupations of the economy, while for men part-time jobs are more evenly distributed across occupations.

Conclusions 2/2

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Occupational segregation in Spain: EPA, 2007, 2nd quarter

Figure 1: Local segregation curves of female and male workers.

0

0.2

0.4

0.6

0.8

1

0.0 0.2 0.4 0.6 0.8 1.0

Cumulative employment

Cu

mu

lati

ve t

arg

et g

rou

ps

.

Females Males Equity

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LOCAL SEGREGATION 0.1 0.5 1 2 *D

*G

Within-Between decomposition of

female/male segregation by

occupational salary level

1

Distribution of female/male

workers between classes

(%)

FEMALE WORKERS 99.95% - 0.05% 100

Low wage 0.74 0.54 0.42 0.35 0.38 0.47 40.84 Intermediate

wage 0.69 0.49 0.37 0.29 0.35 0.43

33.83

High wage 0.13 0.12 0.12 0.12 0.21 0.27 25.33 MALE

WORKERS 99.95% - 0.05% 100

Low wage 0.30 0.25 0.21 0.17 0.27 0.33 40.37 Intermediate

wage 0.19 0.17 0.16 0.15 0.25 0.31

33.00

High wage 0.07 0.07 0.06 0.05 0.14 0.18 26.63 Table 6. Occupational segregation by sex and salary (6 target groups), and distribution of female and male workers by salary level.

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Example 1: Females Males Total

Occupations 1 20 130 150 2 40 130 170 3 147 3 150

Total 207 263 470 Table A2. Distribution of workers across occupations (example 1)

Local Segregation Curves

0

0,1

0,2

0,3

0,4

0,5

0,6

0,7

0,8

0,9

1

0 0,2 0,4 0,6 0,8 1

Females Males

Figure A1. Female and male segregation curves in example 1.

In this example, male represent 56% of total employment, and that the slope of the female

segregation curve is higher than that of males both at the origin and at the end. When

calculating the entropy family of local segregation indexes, we observe that:

1( ; ) 0.3314Fc t < 1( ; ) 0.3326Mc t

2 ( ; ) 0.3563Fc t > 2 ( ; ) 0.2207Mc t .

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Example 2: Females Males Total

Occupations 1 20 160 180 2 160 70 230 3 70 30 100

Total 250 260 510 Table A3. Distribution of workers across occupations (example 2)

Local Segregation Curves

0

0,1

0,2

0,3

0,4

0,5

0,6

0,7

0,8

0,9

1

0 0,2 0,4 0,6 0,8 1

Females Males

Figure A2. Female and male segregation curves in example 2.

In this case, the slope of the female segregation curve is lower than that of males both at

the origin and at the end. Note that even though the proportion of male workers is higher

than that of females (51% against 49%), we cannot conclude that the male group has lower

segregation. In fact, when calculating the entropy family of local segregation indexes, we

observe that:

1( ; ) 0.2050Fc t > 1( ; ) 0.1420Mc t

3( ; ) 0.1440Fc t < 3( ; ) 0.1678Mc t .