on the geography of global value chains · 2017. 5. 15. · introduction motivation global value...
TRANSCRIPT
On the Geography of Global Value Chains
Pol Antras and Alonso de Gortari
Harvard University
May 2017
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 1 / 31
Introduction Motivation
Global Value Chains
Value Chain: the series of stages involved in producing a product orservice that is sold to consumers, with each stage adding value
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 2 / 31
Introduction Motivation
Why Do We Care?
What are the implications of GVCs for the workings ofgeneral-equilibrium models?
Harms, Lorz, and Urban (2012), Antras and Chor (2013), Baldwin andVenables (2013), Costinot et al. (2013), Fally and Hillberry (2014),Alfaro et al. (2015)
What are the implications of GVCs for the quantitative consequencesof trade cost reductions (or increases!)?
Yi (2003, 2010), Johnson and Moxnes (2014), Fally and Hillberry(2014)
Past work: non-existent or very stylized trade costs; generallytwo-country models
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 3 / 31
Introduction The Role of Trade Costs
Adding Realistic Trade Costs Is Tricky
Consider optimal location of production for the different stages in asequential GVC
Without trade frictions ≈ standard multi-country sourcing model
With trade frictions, matters become trickier
Location of a stage takes into account upstream and downstreamlocations
Where is the good coming from? Where is it going to?
Need to solve jointly for the optimal path of production
Connection with logistics literature
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 4 / 31
Introduction Our Contribution
Contributions of This Paper
Develop a general-equilibrium model of GVCs with a generalgeography of trade costs across countries
1 Characterize the optimality of a centrality-downstreamness nexus
2 Develop tools to solve the model in high-dimensional environments
3 Show how to map our model to world Input-Output tables
4 Structurally estimate the model and perform counterfactuals
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 5 / 31
Theoretical Model Partial Equilibrium: Interdependencies and Compounding
Model: Partial Equilibrium
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 6 / 31
Theoretical Model Partial Equilibrium: Interdependencies and Compounding
Partial Equilibrium Environment
There are J countries where consumers derive utility from consuminga final good
The good is produced combining N stages that need to be performedsequentially (stage N = assembly)
At each stage n > 1, production combines (equipped) labor with thegood finished up to the previous stage n− 1
The wage rate varies across countries and is denoted by wi in i
Countries also differ in their geography J × J matrix of iceberg tradecost coefficients τij
Technology features constant returns to scale and market structure isperfectly competitive
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 6 / 31
Theoretical Model Partial Equilibrium: Interdependencies and Compounding
Partial Equilibrium: Sequential Production Technology
Optimal path of production `j ={`j (1) , `j (2) , ..., `j (N)
}for
providing the good to consumers in country j dictated by costminimization
We summarize technology via the following sequential cost functionassociated with a path of production ` = {` (1) , ` (2) , ..., ` (N)}:
pn`(n) (`) = gn`(n)
(w`(n), p
n−1`(n−1) (`) τ`(n−1)`(n)
), for all n.
where p1`(1) (`) = g1
`(1)
(w`(1)
)for all paths `
A good assembled in ` (N) after following the path ` is available inany country j at a cost pFj (`) = pN`(N) (`) τ`(N)j
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 7 / 31
Theoretical Model Partial Equilibrium: Interdependencies and Compounding
A Useful Benchmark
Assume a Cobb-Douglas technology with Ricardian efficiencydifferences
pn`(n) (`) =(an`(n)w`(n)
)αn(pn−1`(n−1) (`) τ`(n−1)`(n)
)1−αn
, for all n,
Iterating, the cost-minimization problem for a lead firm is:
`j = arg min`∈J N
{N
∏n=1
(an`(n)w`(n)
)αnβn ×N−1
∏n=1
(τ`(n)`(n+1)
)βn × τ`(N)j
}where
βn ≡N
∏m=n+1
(1− αm)
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 8 / 31
Theoretical Model Partial Equilibrium: Interdependencies and Compounding
Two Lessons
1 Unless τ`(n−1)`(n) = τ, one cannot minimize costs stage-by-stage
Turns a problem of dimensionality N × J into a JN problem
But easy to reduce dimensionality with dynamic programming
2 Trade-cost elasticity of the unit cost of serving consumers in country jincreases along the value chain (β1 < β2 < ... < βN = 1)
Incentive to reduce trade costs increases as one moves downstream
These results hold for any CRS technology
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 9 / 31
Theoretical Model Partial Equilibrium: Interdependencies and Compounding
Decentralization
What if no lead firm coordinates the whole value chain?
Assume value chain consists of a series of cost-minimizingstage-specific agents (including consumers in each country)
Stage n producers in ` (n) pick ` (n− 1) to min{pn−1`(n−1)
τ`(n−1)`(n)
},
regardless of w` (n), productivity an` (n), and future path of the good
With CRS, identity of the specific firms is immaterial =⇒ as if a leadfirm used dynamic programming to solve for the optimal path
Invoking the principle of optimality, we get the exact same optimalpath of production than before
But much lower dimensionality! (J ×N × J computations)
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 10 / 31
Theoretical Model An Example: Four Countries and Four Stages
An Example: N = J = 4
𝜏𝜏𝐶𝐶𝐶𝐶 = 1.3 𝜏𝜏𝐴𝐴𝐴𝐴 = 1.3
𝜏𝜏𝐴𝐴𝐶𝐶 = 1.75
𝜏𝜏𝐴𝐴𝐶𝐶 = 1.5
WEST EAST
We explore the implications of shifts in trade costs by lettingτ′ij = 1 + s(τij − 1) for s > 0 Results
We average across 1 million simulations in which anj wj ∼ logN (0, 1)
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 11 / 31
General Equilibrium Model
General Equilibrium
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 12 / 31
General Equilibrium Model Assumptions
A Multi-Stage Ricardian Model
We next embed our framework into a general equilibrium model
Framework will accommodate:
Ricardian differences in technology across stages and countries
A continuum of final goods
Multiple GVCs producing each of these final goods
An arbitrary number of countries J and stages N
Model will not predict the path of each specific GVC. Instead:
Characterize the relative prevalence of different possible GVC
Study average positioning of countries in GVCs
Trace implications for the world distribution of income
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 12 / 31
General Equilibrium Model Assumptions
Formal Environment
Preferences are
u
({yNj (z)
}1
z=0
)=
(∫ 1
0
(yNj (z)
)(σ−1)/σdz
)σ/(σ−1)
, σ > 1
Technology features CRS and Ricardian technological differences
pn`(n) (`, z) =(an`(n) (z) c`(n)
)αn(pn−1`(n−1) (`) τ`(n−1)`(n)
)1−αn
, for all n
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 13 / 31
General Equilibrium Model Assumptions
Formal Environment
Preferences are
u
({yNi (z)
}1
z=0
)=
(∫ 1
0
(yNi (z)
)(σ−1)/σdz
)σ/(σ−1)
, σ > 1
Technology features CRS and Ricardian technological differences
pFj (`, z) =N
∏n=1
(an`(n) (z) c`(n)
)αnβn ×N−1
∏n=1
(τ`(n)`(n+1)
)βn × τ`(N)j
Bundle of inputs comprises labor and CES aggregator in u (·)
ci = (wi )γi (Pi )
1−γi , where Pi is the ideal consumer price index
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 13 / 31
General Equilibrium Model Assumptions
Probabilistic Representation of Technology
In Eaton and Kortum (2002) with N = 1, they assume 1/aNj (z) isdrawn for each good z independently from the Frechet distribution
Pr(aNj (z) ≥ a) = e−Tjaθ, with Tj > 0
Problem: The distribution of the product of Frechet randomvariables is not distributed Frechet
The same would be true with fixed proportions (sum of Frechets)
How can one recover the magic of the Eaton and Kortum in amulti-stage setting?
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 14 / 31
General Equilibrium Model Assumptions
The Challenge: Two Solutions
1 If a production chain follows the path {` (1) , ` (2) , ..., ` (N)}, then
Pr
(N
∏n=1
(an`(n) (z)
)αnβn ≥ a
)= exp
{−aθ
N
∏n=1
(T`(n)
)αnβn
}
Randomness can be interpreted as uncertainty on compatibility
2 Decentralized equilibrium in which stage-specific producers do notobserve realized prices before committing to sourcing decisions
Firms observe the productivity levels of their potential direct (ortier-one) suppliers
But not of their tier-two, tier-three, etc. suppliers
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 15 / 31
General Equilibrium Model Some Results
Some Results: GVC Shares
Likelihood of a particular GVC ending in j is
π`j =
N−1∏n=1
((T`(n)
)αn((
c`(n)
)αn
τ`(n)`(n+1)
)−θ)βn
×(T`(N)
)αN((
c`(N)
)αN
τ`(N)j
)−θ
Θj
where Θj is the sum of the numerator over all possible paths
Notice that trade costs again matter more downstream than upstream
When N = 1
π`(N)j =T`(N)
(c`(N)τ`(N)j
)−θ
Θj,
as in Eaton and Kortum (2002)
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 16 / 31
General Equilibrium Model Some Results: Mapping to Observables
Some Results: Mapping to Observables
With π`j ’s can compute final-good trade shares and intermediateinput shares as explicit functions of Tj ’s, cj ’s, and τij ’s (conditionalprobabilities)
πFij = ∑
`∈ΛNi
π`j , where Λni =
{` ∈ J N | ` (n) = i
}
Pr (Λnk→i , j) = ∑
`∈Λnk→i
π`j , where Λnk→i =
{` ∈ J N | ` (n) = k and ` (n+ 1) = i
}
Can also express labor market clearing as a function oftransformations of these probabilities
1
γiwiLi = ∑
j∈J∑n∈N
αnβn × Pr (Λni , j)× 1
γjwjLj
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 17 / 31
General Equilibrium Model Gains from Trade
Gains from Trade
Consider a ‘purely-domestic’ value chain that performs all stages in agiven country j to serve consumers in the same country j
Such value chain captures a share of country j ’s spending equal to
πjN = Pr(j , j , ..., j) =(τjj )
−θ(1+∑N−1n=1 βn) × (cj )
−θ Tj
Θj
We can then show
wj
Pj=(
κ (τjj )1+∑N−1
n=1 βn
)−1/γj(
Tj
πjN
)1/(θγj )
Under autarky πjN = 1, so the (percentage) real income gains fromtrade, relative to autarky, are given by(
πjN)−1/(θγj ) − 1
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 18 / 31
General Equilibrium Model Centrality and Downstreamness
The Centrality-Downstreamness Nexus
Define the average upstreamness U (i ; j) of production of a givencountry i in value chains that seek to serve consumers in country j :
U (i ; j) =N
∑n=1
(N − n+ 1)× Pr (i = ` (n) ; j)
∑Nn′=1 Pr (i = ` (n′) ; j)
Closely related to upstreamness measure in Antras et al. (2012)
Suppose we can decompose τij = (ρiρj )−1. Then:
Proposition (Centrality-Upstreamness Nexus)
The more central a country i is (i.e., the higher is ρi ), the lower is theaverage upstreamness U (i ; j) of this country in global value chains leadingto consumers in any country j .
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 19 / 31
General Equilibrium Model Centrality and Downstreamness
Centrality and Downstreamness: Suggestive Evidence
AUS
NZL
BRN
QAT
TON
CHL
ARG
BRB
GAB
BRA
FJI
MUS
ZAF
TTO
URY
KWT
ISL
PER
SAU
CRI
VEN
MYS
MEX
ECU
PAN
COL
BOL
PRY
BLZ
PNG
JAM
BHR
SLVGTM
GUY
IDN
COG
DOM
THA
LBY
CYPLKA
IRN
USA
HND
ISR
CMR
FIN
NOR
ZMB
RUSYEM
CIVKEN
GRC
PRT
SWE
SDN
MLT
SEN
TZAPHL
UGA
MRTMOZ
MWI
EGY
RWA
GHA
BEN
ESP
GMB
MLI
LAO
TGO
VNMTURCAF
KHMHTI
SLE
SYR
JORINDBDI
MNG
MAC
MAR
PAK
DZA
EST
NER
IRL
BGD
ROMNPL
BGR
TUN
ZAR
DNK
SGP
POLJPNKORITAHUN
ALB
AUTSVNHRV
CANCZE
CHEHKG
SVKFRA
GBRNLD
-1-.5
0.5
11.
5e(
exp
ort_
upst
ream
ness
| X
)
-2 -1 0 1 2 3e( centrality_gdp | X )
coef = -.23295721, (robust) se = .061446, t = -3.79
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 20 / 31
General Equilibrium Model Centrality and Downstreamness
Centrality and Downstreamness: Suggestive Evidence
AUS
NZL
BRN
TON
CHL
QAT
ARG
BRB
GAB
FJI
BRA
MUS
ZAF
TTO
URY
PER
KWT
ISL
CRI
SAUVEN
ECU
BOL
MYS
MEX
PAN
COL
PRYPNG
BLZ
JAM
BHR
SLVGTM
GUY
IDN
COG
DOM
THA
LBY
LKACYP
HND
IRNCMR
ZMB
USA
ISR
YEM
CIVKEN
RUS
FIN
NORSDNSEN
TZAGRC
MOZ
UGA
PHL
PRT
MWI
MRT
MLT
SWE
RWA
GHA
EGY
BEN
GMB
MLI
TGO
CAFLAO
SLE
KHM
VNM
HTI
ESPTUR
SYR
BDI
JORIND
MNG
MAR
NER
PAK
MACBGD
DZA
EST
NPLROMIRL
ZAR
BGR
TUNDNK
SGP
POLJPNKOR
ALB
ITAHUNAUTSVNHRV
CZECAN
CHEHKG
SVKFRA
GBR
-1-.5
0.5
11.
5e(
exp
ort_
upst
ream
ness
| X
)
-2 -1 0 1 2e( centrality_gdp | X )
coef = -.27213848, (robust) se = .06170188, t = -4.41
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 20 / 31
General Equilibrium Model Centrality and Downstreamness
Increasing Trade Elasticity: Suggestive Evidence
MRIO database, namely the fact that it reports separately bilateral shipments of intermediate
inputs and of finished goods. In columns (3) and (4), we pooling these observations and re-run
the specifications in columns (1) and (2), while clustering at the country-pair level. It is clear
that the results are almost identical to those in columns (1) and (2). Nevertheless, in column
(5) we document that the elasticity of trade flows to distance is significantly larger for final-good
trade (-1.210) than for intermediate-input trade (-1.077). The di↵erence is sizeable and highly
statistically significant. In column (6), we document a similar phenomenon: the positive e↵ect of
contiguity and common language on trade flows is significantly attenuated when focusing on the
intermediate-input component of trade. Finally, in column (7) we introduce a dummy variable
for intranational shipments as well as its interaction with input trade. As is well-known from the
border-e↵ect literature, the domestic trade dummy is very large, but we again observe that it is
significantly lower for input trade.
Table 1. Trade Cost Elasticities for Final Goods and Intermediate Inputs
(1) (2) (3) (4) (5) (6) (7)
Distance -1.111⇤⇤⇤ -0.823⇤⇤⇤ -1.144⇤⇤⇤ -0.851⇤⇤⇤ -1.210⇤⇤⇤ -0.903⇤⇤⇤ -0.794⇤⇤⇤
(0.019) (0.014) (0.019) (0.014) (0.021) (0.015) (0.015)
Distance ⇥ Input 0.133⇤⇤⇤ 0.106⇤⇤⇤ 0.098⇤⇤⇤
(0.006) (0.006) (0.006)
Continguity 2.187⇤⇤⇤ 2.198⇤⇤⇤ 2.287⇤⇤⇤ 1.184⇤⇤⇤
(0.111) (0.112) (0.120) (0.099)
Continguity ⇥ Input -0.177⇤⇤⇤ -0.054
(0.037) (0.040)
Language 0.480⇤⇤⇤ 0.507⇤⇤⇤ 0.596⇤⇤⇤ 0.513⇤⇤⇤
(0.026) (0.027) (0.029) (0.027)
Language ⇥ Input -0.179⇤⇤⇤ -0.169⇤⇤⇤
(0.013) (0.013)
Domestic 5.635⇤⇤⇤
(0.187)
Domestic ⇥ Input -0.599⇤⇤⇤
(0.067)
Observations 32,400 32,400 64,800 64,800 64,800 64,800 64,800
R2 0.98 0.982 0.972 0.974 0.972 0.974 0.976
Notes: Standard errors clustered at the country-pair level reported. ⇤⇤⇤, **, and * denote 1, 5 and 10 percent
significance levels. All regressions include exporter and importer fixed e↵ects. Regressions in columns (3)-(7) also
include a dummy variable for inputs flows. See the Appendix for details on data sources.
Taken together, the results in Table 1 are highly suggestive of trade barriers impeding trade
more severly in downstream stages than in upstream stages. In the Appendix, we replicate the
19
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 21 / 31
Estimation
Estimation
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 22 / 31
Estimation World Input-Output Tables
Calibration to World-Input Output Database
We next map our multi-country Ricardian framework to worldInput-Output Tables
Core dataset: World Input Output Database (2016 release)
43 countries (86% of world GDP) + ROW; available yearly 2000-2014
Provides information on input and final output flows across countries
Also Eora dataset: 190 countries (but consolidate to 101)
Data Description
• Broad discussion of structure of Input-Output tables (copy Table from slides but at country
level)
• Say we first focus on WIOD 2011 data for quality reasons
• Then we also experiment with Eora 2011 for more countries (say more tentative)
• I don’t think we need to use OECD TiVA
• Say we get πFij and πXij plus GOi/V Ai.
Input use & value added Final use Total useCountry 1 · · · Country J Country 1 · · · Country J
Intermediate Country 1
inputs · · ·supplied Country J
Value addedGross output
Backing Out Trade Costs
Note from (11) that we have √√√√πFij
πFii
πFji
πFjj=
(τ ij)−θ√
(τ ii)−θ (τ jj)
−θ
Ignore domestic costs τ ii = 1, then
(τ ij)−θ =
√√√√πFij
πFii
πFji
πFjj
We can get J×(J − 1) /2 of these (τ ij)−θ with an equal number of normalize ratios
(πFij/π
Fii
)(πFji/π
Fjj
).
With these at hand, it is just a matter of exponentiating to get upstream trade costs (if we assume
they are equal than final goods, which is certainly a valid starting point).
As far as I can see, this does not even require ‘estimating’anything. Set θ = 5 (see below).
Backing Out State of Technology
The ratios(πFij/π
Fii
)(πFji/π
Fjj
)kill the effect of the state of technology, but Ti certainly shapes the
value of the shares πFij . So we still have a bunch of moments based on those shares to estimate
J technology parameters. A natural thing would be to pick them to minimize the distance to the
diagonal of the final-good matrix. So J moments for J parameters to estimate. But perhaps itis more natural to try to match as much as we can of the πFij’s (not just the diagonal).This is analogous to what we were doing before.
20
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 22 / 31
Estimation World Input-Output Tables
Some Key Features
Asymmetries in input and final-output domestic shares
Variation in GO/VA and GO/F (+ correlated)
0.3 0.65 10.3
0.65
1
1.5 2.5 3.51.5
2.5
3.5
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 23 / 31
Estimation Empirical Strategy
Empirical Strategy
Normalizing τii = 1, it turns out that
(τij )−θ =
√√√√πFij
πFii
πFji
πFjj
Estimate (Tj , γj ) for all j and αn for all n targeting:
Diagonal of intermediate input and final-good share matrices
Ratio of value added to gross output by country
GDP shares by country (also take into account trade deficits)
We set N = 2 (data ‘rejects’ N > 2) and θ = 5
We find α2 = 0.16 (remember α1 = 1); α2 = 0.19 with Eora
Hence, data rejects a standard roundabout model (α2 = 1)
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 24 / 31
Estimation Fit of the Model
Fit of the Model: Targeted Moments
0.3 0.65 1
Data
0.3
0.65
1
Cal
ibra
tion
0.6 0.8 1
Data
0.6
0.8
1
Cal
ibra
tion
1.5 2.5 3.5
Data
1.5
2.5
3.5
Cal
ibra
tion
0 0.125 0.25
Data
0
0.125
0.25
Cal
ibra
tion
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 25 / 31
Estimation Fit of the Model
Fit of the Model: Untargeted Moments
10 -6 10 -3.5 10 -1
Data
10 -6
10 -3.5
10 -1
Cal
ibra
tion
10 -6 0.0032
Data
10 -6
0.0032
Cal
ibra
tion
0 0.3 0.6
Data
0
0.3
0.6
Cal
ibra
tion
0 0.3 0.6
Data
0
0.3
0.6
Cal
ibra
tion
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 25 / 31
Counterfactuals
Counterfactuals
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 26 / 31
Counterfactuals Going Back to Autarky
Counterfactuals: Real Income Gains Relative to Autarky
0 5 10 15 20 25 30 35 40 45 50 55
EK Gains
0
5
10
15
20
25
30
35
40
45
50
55
GV
C G
ains
WIOD
0 5 10 15 20 25 30 35 40 45 50 55
EK Gains
0
5
10
15
20
25
30
35
40
45
50
55
GV
C G
ains
EORA
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 26 / 31
Counterfactuals Going Back to Autarky
Counterfactuals: Real Income Gains Relative to Autarky
0 5 10 15 20
EK Gains
0
5
10
15
20
GV
C G
ains
WIOD
0 5 10 15 20
EK Gains
0
5
10
15
20
GV
C G
ains
EORA
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 26 / 31
Counterfactuals Going Back to Autarky
Counterfactuals: Real Income Gains Relative to Autarky
0 5 10 15 20
EK Gains
0
5
10
15
20
GV
C G
ains
WIOD
Mean GVC/EK = 1.07
Weighted Mean GVC/EK = 1.08
0 5 10 15 20
EK Gains
0
5
10
15
20
GV
C G
ains
EORA
Mean GVC/EK = 1.19
Weighted Mean GVC/EK = 1.12
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 26 / 31
Counterfactuals Going Back to Autarky
Counterfactuals: Real Income Gains Relative to AutarkyU
SA
BR
AA
US
IND
JP
NR
US
CH
NID
NG
BR
ITA
ES
PF
RA
CA
NT
UR
NO
RM
EX
DE
US
WE
CH
ER
OW
KO
RP
OL
TW
NN
LD
BE
L
0
5
10
15
20
25
% C
hange in R
eal In
com
e
GVC Gains from Trade
EK Gains from Trade
AU
SR
OW
RU
SC
AN
GB
RU
SA
BE
LJP
NE
SP
SW
EF
RA
KO
RP
OL
BR
AC
HE
TU
RIT
AD
EU
IDN
IND
NLD
TW
NN
OR
ME
XC
HN
0.5
1
1.5
Ratio G
VC
/EK
Relative Gains from Trade
GDP-Weighted Mean Relative Gains from Trade
GVC model with N = 1, i.e. EK model, underestimates gains fromtrade by 8% on average (11% in EORA)
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 26 / 31
Counterfactuals Going to Free Trade
Counterfactuals: Free Trade Real Income Gains
0 2000 4000 6000 8000
EK Gains
0
2000
4000
6000
8000
GV
C G
ains
WIOD
0 2500 5000 7500 10000 12500 15000
EK Gains
0
2500
5000
7500
10000
12500
15000
GV
C G
ains
EORA
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 27 / 31
Counterfactuals Going to Free Trade
Counterfactuals: Free Trade Real Income Gains
0 500 1000 1500 2000 2500
EK Gains
0
500
1000
1500
2000
2500
GV
C G
ains
WIOD
0 1000 2000 3000 4000 5000
EK Gains
0
1000
2000
3000
4000
5000
GV
C G
ains
EORA
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 27 / 31
Counterfactuals Going to Free Trade
Counterfactuals: Free Trade Real Income Gains
0 500 1000 1500 2000 2500
EK Gains
0
500
1000
1500
2000
2500
GV
C G
ains
WIOD
Mean GVC/EK = 1.36
Weighted Mean GVC/EK = 1.10 1000 2000 3000 4000 5000
EK Gains
0
1000
2000
3000
4000
5000
GV
C G
ains
EORA
Mean GVC/EK = 1.95Weighted Mean GVC/EK = 1.13
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 27 / 31
Counterfactuals Going to Free Trade
Counterfactuals: Real Income Gains from Free Trade
North America Europe RoW LA & C Asia M.East & N.Africa Africa0
100
500
1000
1500
% C
ha
ng
e in
Re
al In
co
me
No GVC
GVC
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 27 / 31
Counterfactuals A Reduction in Trade Costs
Counterfactuals: 50% Fall in Trade Costs
All countries integrate more
Backward Participation
US
AB
RA
AU
SIN
DJP
NR
US
IDN
NO
RG
BR
CH
NIT
AF
RA
ES
PC
AN
TU
RM
EX
SW
ED
EU
CH
EK
OR
PO
LR
OW
NL
DT
WN
BE
L
0
0.1
0.2
0.3
0.4
0.5
0.6
% o
f F
ina
l C
on
su
mp
tio
n
Benchmark
50% Fall in Trade Costs
Forward Participation
US
AB
RA
JP
NA
US
IND
CH
NG
BR
RO
WF
RA
ITA
IDN
ES
PC
AN
TU
RM
EX
RU
SD
EU
SW
EC
HE
PO
LK
OR
BE
LN
LD
NO
RT
WN
0
0.1
0.2
0.3
0.4
0.5
0.6
% o
f V
alu
e A
dd
ed
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 28 / 31
Counterfactuals A Reduction in Trade Costs
Counterfactuals: 50% Fall in Trade Costs
USA integrates more with all regions...
...but global integration increases relative to regional integration
Change in GVC Participation
USA CHN CAN MEX Europe Asia RoW0
100
200
300
400
500
600
700
%
Backward
Forward
Change in Relative GVC Participation
USA CHN CAN MEX Europe Asia RoW-80
-40
0
40
80
120
160
%
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 29 / 31
Counterfactuals A Reduction in Trade Costs
Counterfactuals: Local vs. Regional vs. Global Chains
Consider τ′ij = 1 + s(τij − 1) for s > 0
Very much resembles partial equilibrium model results
1/32 1/16 1/8 1/4 1/2 1 3/2 2 3 5 10
s
0
20
40
60
80
100
%
0
2
4
6
8
10
%
Domestic GVCs (lhs)
NAFTA GVCs (rhs)
Global GVCs (lhs)
1/321/16 1/8 1/4 1/2 1 3/2 2 3 5 10
s
0
0.05
0.1
0.15
0.2
NA
FT
A G
VC
s / G
lobal G
VC
s
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 30 / 31
Conclusions
Conclusions
We have studied how trade frictions shape the location of productionalong GVCs
We have demonstrated a centrality-downstreamness nexus and haveoffered suggestive evidence for it
Our framework can be used to quantitatively assess the implicationsof the rise of GVCs
We view our work as a stepping stone for a future analysis of the roleof man-made trade barriers in GVCs
Should countries use policies to place themselves in particularlyappealing segments of global value chains?
What is the optimal shape of those policies?
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 31 / 31
An Example: Results
Figure: Average Propensity of Countries in GVCs Leading to Consumption in D
0 1/8 1/4 1/2 3/4 1 3/2 2 3 5 10 25 50
s
0
10
20
30
40
50
60
70
80
90
100
GVCs with A
GVCs with B
GVCs with C
GVCs with D
B appears more often than A in GVCs leading to D
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 1 / 3
An Example: Results
Figure: Average Upstreamness of Countries in GVCs Leading to Consumption in D
0 1/8 1/4 1/2 3/4 1 3/2 2 3 5 10 25 50
s
1
1.2
1.4
1.6
1.8
2
2.2
2.4
2.6
2.8
3
GVCs with A
GVCs with B
GVCs with C
GVCs with D
Geography shapes the average position of a country in GVCs
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 2 / 3
An Example: Results
Figure: Regional vs Global GVCs Leading to Consumption in D
0 1/8 1/4 1/2 3/4 1 3/2 2 3 5 10 25 50
s
0
10
20
30
40
50
60
70
80
90
100
Domestic GVCs
Regional GVCs
Global GVCs
GVCs are first local, then regional and finally global
BACK
Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 3 / 3