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On the Geography of Global Value Chains Pol Antr` as and Alonso de Gortari Harvard University May 2017 Antr` as & de Gortari (Harvard University) On the Geography of GVCs May 2017 1 / 31

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Page 1: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 2: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 3: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 4: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 5: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 6: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

Theoretical Model Partial Equilibrium: Interdependencies and Compounding

Model: Partial Equilibrium

Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 6 / 31

Page 7: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 8: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 9: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 10: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 11: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 12: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 13: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

General Equilibrium Model

General Equilibrium

Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 12 / 31

Page 14: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 15: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 16: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 17: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 18: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 19: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 20: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 21: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 22: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 23: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 24: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 25: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 26: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

Estimation

Estimation

Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 22 / 31

Page 27: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 28: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 29: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 30: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 31: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 32: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

Counterfactuals

Counterfactuals

Antras & de Gortari (Harvard University) On the Geography of GVCs May 2017 26 / 31

Page 33: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 34: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 35: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 36: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 37: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 38: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 39: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 40: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 41: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 42: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 43: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 44: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 45: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 46: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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

Page 47: On the Geography of Global Value Chains · 2017. 5. 15. · Introduction Motivation Global Value Chains Value Chain:the series of stages involved in producing a product or service

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