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International Outsourcingand the Demand for Skills
Kurt KratenaWP8
EUKLEMS Consortium MeetingBrussels, 15 - 17 March, 2007
Motivation
• Stylized facts: • Increase in the wage gap between skilled and unskilled
workers (U.S and UK) or employment shifts (increasing unemployment of unskilled) with stable wage structures (continental EU countries)
• Increased use of inputs, e.g.:
• skilled labour
• imported materials
• Decreased use of inputs:
• Unskilled workers (in particular older workers)
Outsourcing & demand for skills
• Methodological questions (Feenstra, Hanson, 2001):
(i) single (relative) labour demand functions: Berman, Bound and Griliches, 1994; Feenstra, Hanson (1999), Amiti, Wei (2004).
(ii) system of labour demand equations derived from a flexible cost function:Morrison-Paul, Siegel, 2001; Eckholm, Hakkala 2006; Hijzen, Görg and Hine (2005)
advantage of (ii): theoretical consistency (elasticities), econometric results based on efficient estimation technique
Outsourcing & demand for skills
• Methodological questions
(i) outsourcing as a “quasi fixed” factor like factor biased technical change: most studies(ii) outsourcing as a variable factor = imported intermediates: Falk, Koebel 2002; Tombazos, 1999. Measures of outsourcing:(iii) imports of intermediates from the same industry = narrow measure(iv) total imported intermediates (in EUKLEMS without energy!) = broad measureadvantage of (ii) over (i) : directly quantifying the role of prices for outsourcing (= substitution).
Outsourcing & demand for skills
• Methodological approach
• Cost and factor demand functions with different skills of labour and outsourcing as imported intermediates (without energy): (i) own and cross price elasticities(ii) impact of outsourcing on costs (~ productivity)
• EU countries: Austria, Finland, Germany, Italy Sweden (geography criterion)
• Pooling across countries (not industries)
Outsourcing & demand for skills
• Data issues Basic data of EUKLEMS: capital stock gross outputinputs of intermediates (values & volumes)inputs of labour (skilled/unskilled, compensation & hours)
Additional data from other sources (Eurostat or national): inputs of imported intermediates (values & volumes):(i) full use matrices for imports(ii) import price indicesInterpolation of import matrices ?
Outsourcing & demand for skills
• Data issues
Additional data from other sources by countries
Italy: Statistics Italy, WIFO √Austria: Statistics Austria, WIFO √Germany: ?Finland: EUKLEMS consortium partner (?)Sweden: Eckholm, Hakkala 2006 (EUKLEMS consortium partner ?), WIFO √
Outsourcing: Methodology
• General Translog cost function with i variable factors:i = L (unskilled), H (skilled), MM (imported intermediates), MD (domestic intermediates) and capital stock (xK), gross output (Y) and deterministic trend (t), Berndt, Hesse (1986):
Y
xtppt
xYxYppY
x
pppppp
ttxppYVC
KtK
initi
KKYKi
niK
Ki
niniji
ijnii
ii
tttKYi
niiY
log/log
log2
1log
2
1loglog)/log(log
)/log()/log()/log(2
1
2
1log1)/log(loglog
22
,
2
20
Outsourcing: Methodology
• General Translog cost function: homogeneity and constant returns to scale imposedDeriving factor demand (Shephard’s Lemma):
tY
xpppppp
VC
HptH
KKHDMHMDLHLDHHHH
H log)/log()/log()/log(
tY
xpppppp
VC
LptL
KKLDMMLDHHLDLLLL
L log)/log()/log()/log(
tY
xpppppp
VC
MptM
KKMDMMLDHHMDMMMM
MM log)/log()/log()/log(
Outsourcing: Methodology
• General Translog cost function: homogeneity and constant returns to scale imposedDeriving shadow price of capital (Berndt, Hesse 1986):
System estimation (SUR) of: cost function, factor demand and shadow cost equation.
Own price elasticity:
Cross price elasticity:
tppppppY
x
VC
x
x
VC
x
VCtKDMKMDHKHDLKL
KYKY
K
KK
)/log()/log()/log(log1log
log
i
iiii
i
iii s
ss
p
x
2
log
log
i
ijji
j
iij s
ss
p
x
log
log
Outsourcing: Methodology
Impact on costs: Definition of cost equation with input coefficients wi =xi/Y :
dynamic cost equation:
with
Decomposition into: (i) substitution effects
(ii) price effects
DDMMHHLL pwpwpwpwVC
i
ii
i
i
i
ii
i
i
VC
pw
p
dp
VC
pw
w
dw
VC
dVC
ii
i sVC
pw
i
ii
i
i
VC
pw
w
dw
i
ii
i
i
VC
pw
p
dp
First empirical results (Austria)
• Import matrices for Austria: 1995 , 2000, 2001 • Interpolation of import matrices for 1988 – 2004
(similar to Eckholm, Hakkala 2006):
import destination, not constant as in Eckholm, Hakkala (2006)
• Import prices based on unit value indices at 3 digit NACE with outlier detection (relative variance of 3 digits within 2 digits industry)
ii
ijij M
M
MM
First empirical results (Austria)
Stylized facts for Austria 1988 – 2004
1. Input coefficient of imported intermediates1988 2004
Other Mining & Quarrying 0,016 0,031Food, beverages and tobacco 0,058 0,102Textiles, leather and footwear 0,184 0,304Wood and of wood and cork 0,077 0,061
Pulp, paper, printing and publishing 0,142 0,191Coke, refined petroleum, nuclear 0,020 0,013Chemicals and pharmaceuticals 0,092 0,262
Other non-metallic mineral 0,055 0,104Basic metals and fabricated metal 0,140 0,192
Machinery nec 0,186 0,222Electrical and optical equipment 0,226 0,358
Transport equipment 0,322 0,469
First empirical results (Austria)
Stylized facts for Austria 1988 – 2004
2. Input coefficient of unskilled labour
1988 2004
Other Mining & Quarrying 0,048 0,022Food, beverages and tobacco 0,084 0,044Textiles, leather and footwear 0,147 0,040Wood and of wood and cork 0,076 0,023
Pulp, paper, printing and publishing 0,084 0,028Coke, refined petroleum, nuclear 0,058 0,011Chemicals and pharmaceuticals 0,081 0,029
Other non-metallic mineral 0,085 0,039Basic metals and fabricated metal 0,154 0,047
Machinery nec 0,071 0,027Electrical and optical equipment 0,086 0,031
Transport equipment 0,052 0,015
First empirical results (Austria)
• Own price elasticities of factor demand
L,L
H,H
MM
Other Mining & Quarrying -0,40 -0,26 -0,81Food, beverages and tobacco -0,09 -0,18 -0,83Textiles, leather and footwear -0,12 -0,46 -0,67Wood and of wood and cork -0,05 -1,57 -2,47
Pulp, paper, printing and publishing -0,13 -0,24 -0,70Coke, refined petroleum, nuclear -0,15 -0,30 -1,65Chemicals and pharmaceuticals -0,05 -0,25 -0,72
Other non-metallic mineral -0,41 -0,34 -1,47Basic metals and fabricated metal -0,22 -0,15 -0,98
Machinery nec -0,07 -0,27 -0,40Electrical and optical equipment -0,12 -0,06 -0,42
Transport equipment -4,16 -1,07 -0,55
First empirical results (Austria)
• Cross price elasticities of labour
LM
LH
LD
HM
HL
HD
Other Mining & Quarrying 0,16 -0,56 0,79 0,13 -0,02 0,15Food, beverages and tobacco 0,18 -0,45 0,36 0,10 -0,23 0,32Textiles, leather and footwear 0,24 0,58 -0,71 0,12 0,24 0,10Wood and of wood and cork -0,25 2,16 -1,85 0,43 0,53 0,62
Pulp, paper, printing and publishing -0,03 0,34 -0,18 0,32 0,11 -0,18Coke, refined petroleum, nuclear -0,15 0,65 -0,34 0,32 0,16 -0,18Chemicals and pharmaceuticals 0,35 -0,86 0,56 0,28 -0,24 0,20
Other non-metallic mineral -0,05 -0,27 0,73 0,06 -0,05 0,33Basic metals and fabricated metal 0,00 -0,02 0,24 0,11 0,04 0,00
Machinery nec 0,48 0,02 -0,42 0,12 0,01 0,13Electrical and optical equipment -0,76 2,32 -1,44 -0,02 0,36 -0,28
Transport equipment 3,90 -2,25 2,51 0,82 -0,28 0,53
First empirical results (Austria)
• Unskilled labour and imported intermediates are substitutes in 7 out of 12 manufacturing industries (especially: transport equipment, machinery, textiles)
• Skilled labour and imported intermediates are substitutes in almost all manufacturing industries (especially transport equipment, wood, pulp and paper/printing)
which skill aggregation is appropriate ? (aggegating medium skill category to high or low ?)
• Both categories of labour are complements in 5 out of 12 industries
• Domestic intermediates are rather a substitute for high skilled labour than for low skilled labour (domestic outsourcing)