Working PaperPDF Available
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DOCUMENTOS DE ECONOMÍA Y
FINANZAS INTERNACIONALES
Working Papers on International
Economics and Finance
DEFI 16-05
February 2016
Complex Internationalization Strategies and Firm Export Dynamics:
Crisis and Recovery
David Córcoles
Carmen Díaz-Mora*
Rosario Gandoy
Asociación Española de Economía y Finanzas Internacionales
www.aeefi.com
ISSN: 1696-6376
2
Complex Internationalization Strategies and Firm Export Dynamics:
Crisis and Recovery
February2016
David Córcoles
Carmen Díaz-Mora*
Rosario Gandoy
UNIVERSITY OF CASTILLA-LA MANCHA
Abstract:
The aim of this paper is to investigate the dynamics of the exporting activity of manufacturing firms
that are involved in complex internationalization strategies. We consider complex
internationalization to be when firms are simultaneously active in exporting, importing
intermediates and international production, which are typically associated with participation in
GVCs. Our descriptive data show that these triple mode internationalized firms belong to an elite
group of firms that exhibit a higher level of labour productivity, are larger and show a higher
likelihood of engaging in product innovation. On the basis of the estimation of a random-effects
probit model with panel data, we find that once such firm characteristics are controlled for,
internationalization complexity plays an important role in continuing to export. Additionally, the
results from a dynamic panel data model show that being involved in more sophisticated
internationalization modes positively influences the level of exports. Thus, it seems that firms active
in a complex mix of internationalization strategies have an added advantage which enables them to
confront the uncertainty of foreign markets in better conditions and translates to a lower likelihood
of ceasing exporting and to higher export values. We go one step further and investigate whether
the impact is different during the trade collapse in 2009 and the following recovery.
JEL codes: F14, F60.
Key words: Export dynamics, firms' characteristics, complex internationalization, trade collapse
and recovery.
* Corresponding author. University of Castilla-La Mancha. Department of International Economics. Faculty of Juridical
and Social Sciences. Cobertizo San Pedro Mártir, 45071 Toledo (Spain). Carmen.diazmora@uclm.es
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1. INTRODUCTION
The fall of world trade in 2009 has generated a considerable amount of literature that tries to
explain the causes of the high sensitivity of trade to the international financial crisis. One of the
aspects studied has been the role of global value chains (hereafter GVCs) in the great trade collapse
(Baldwin, 2009). The expansion of GVCs was an important determinant of the increase of trade
elasticity in 1990s and it also seems to be important for the collapse and subsequent slowdown of
trade (Escaith et al., 2010; Milberg and Wincler, 2010; Constantinescu, 2015). However, firm-level
empirical literature is not conclusive on this issue (Stehrer et al., 2012).
Altomonte et al. (2012) find evidence of an overreaction of trade in intermediate inputs (as an
indicator of engagement in GVCs) during the 2009 trade collapse. Due to an adjustment of
production and stocks to the new expected levels of output (bullwhip effect or inventory
adjustment), French firms experienced a larger fall in trade in intermediate than in consumption
goods. The higher weight of intermediates in overall trade explained the trade collapse in France.
Moreover, they also show that trade organised within hierarchies of firms has been more sensitive
to the negative demand shock but rebounded faster because of the closer relationship of partners
provides a better handling of inventories.
Nevertheless, there are empirical firm-level studies which find that GVC involvement did not play a
significant role in the decrease in foreign trade volumes during the crisis or even it helped firms to fare
better in the crisis period, playing a stabilising role. Behrens et al. (2013) find, in the case of Belgium,
that participation in GVCs did not differentially affect export growth in the trade collapse period
(2008-2009) as compared to a normal period (2007-2008). These findings are in line with Giri et al.
(2014). They document that Mexican exporters engaged in vertical supply chains (measured by a
high fraction of maquiladora exports) didn’t suffered more during the crisis period (2008-2009) and
post- crisis period (2009-2010), with no differential effect on exit and export growth. Alfaro and
Chen (2012) investigate how multinationals around the world responded to the crisis (2007-2009)
relative to local counterparts. They find that multinationals that engaged in activities with vertical
production links or stronger financial constraints performed better than local firms.
Our paper tries to contribute to this line of research by empirically investigating the export
behaviour of firms engaged in GVCs. Recent empirical literature on international trade has shown
that only those more capable firms engage in complex combinations of internationalization
strategies and go beyond exporting activity (Barba Navaretti et al., 2010; Altomonte et al., 2013;
Veugelers et al., 2013). Complex internationalization refers to being involved simultaneously in
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various categories of internationalization strategies such as exporting, importing, FDI or
outsourcing, which is typically associated with participation in GVCs. As each internationalization
mode implies some high and separate fixed costs (although some may be common), combining
several of these modes requires greater ability on the part of firms to deal with them as well as with
the uncertainty that characterizes operating in foreign markets. This higher ability is widely
explained by firm-specific characteristics so that firms engaged in multidimensional
internationalization strategies are older, larger, more productive and more innovative.
The aim is to test to what extent their export behaviour has been determined by GVC involvement.
Specifically, we examine two different aspects of export performance: exit from exporting and the
export value of surviving exporters. Our hypothesis is that firms more deeply involved in
internationalization strategies belong to an elite group of firms, the so called ‘happy few’ (Mayer
and Ottaviano, 2008), which have a better performance in terms of exports dynamics, mainly during
the great trade collapse and the following recovery. Investigating whether the effect of being
complex internationalizers on export dynamics is different during and after the trade collapse in
2009 is the main contribution of our paper.
Trade collapse was triggered for the slump in demand and was amplified by financial constraints.
Regarding the first factor, Novy and Taylor (2014) suggest a tight link between uncertainty and the
cyclical behaviour of international trade. Uncertainty leads firms to postpone orders of foreign
suppliers reducing international trade. We argue that complex internationalized firms face less
uncertainty becausethey can use the contacts that their trade partners already have to obtain
information about foreign markets or new additional contacts (Chaney, 2014). Regarding to the
second factor, there is no doubt that the increase of financial cost and the lack of financing help to
explain the behaviour of trade in recent years. Nevertheless, it is reasonable to assume that not all
firms are affected in the same way. It is likely that firms involved in GVCs are less affected by trade
finance shortages since lead firms can provide financial support to suppliers and buyers to avoid the
disruption of the production process (Altomonte and Ottaviano, 2009; Milberg and Wincler,
2010).Thus, based on these two arguments, we could expect a better trade performance in GVC
firms.
Focussing specially on export survival, it is expected that firm's participation in multidimensional
internationalization prevents exit from exporting activity. Altomonte and Ottaviano (2009) suggest
that trade within international supply chains has exhibited some degree of resilience to large adverse
shocks like the great trade collapse. Because of the existence of sunk costs in setting up and
organizing cross-border production sharing, long-lasting relations are expected within GVC sin
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order to avoid disrupting part of the supply chain. Moreover, the process of international
fragmentation of production requires close collaboration among network partners, which leads them
to share technological knowledge, skilled labour and business strategies, enhancing productivity,
improving firms´ competitive position in international markets and strengthening ties that foster the
stability of trade relationships between exporters and importers.
We address the question of the effect of engagement in GVCs on export performance using a two-
step empirical analysis. First, a random-effects probit model with panel data is estimated to explore,
once firm characteristics are controlled for, the role of internationalization complexity in continuing
to export. Second, using a dynamic panel data model, we examine the influence of GVC
involvement on export value of surviving exporters.
To preview our findings, our estimations suggest that, on the one hand, internationalization
complexity plays an important role in continuing to export although this behaviour is not different
since 2009; and on the other hand, GVC involvement positively influences the level of exports, an
effect that it is even higher since 2009, suggesting that the negative impact of trade collapse in 2009
on export level has been lower for GVC-involved firms and the subsequent recovery has been more
intense.
The paper is structured as follows. In Section 2 we introduce the data and provide some descriptives
of firms that participate in networks. Moreover, we examine the characteristics of firms engaged in
GVCs, comparing them to the characteristics of other exporting firms. In Section 3 we present the
econometric estimations for the role of integration in GVCs on export exit and on the values of
surviving exporters. In Section 4 we present some concluding remarks.
2. DATA AND DESCRIPTIVE ANALYSIS.
It is difficult to precisely identify firms integrated in transnational production networks. Veugelers
et al. (2013) identify the extent of a firm's involvement in global value chains depending on the
complexity of its international strategies. According to this, firms most involved in GVCs are those
that combine three types of international activities (triple-mode firms), that is, importing of
components, exporting and organizing production abroad, either through foreign manufacturing
affiliates or contracting with other manufacturing firms abroad. As such, participation in cross-
border networks implies carrying out certain tasks abroad and the acquisition of imported
intermediate inputs which are incorporated into the manufacturing phase performed in the national
economy to generate end products destined for export or semi-finished goods for further processing
6
in another country. Firms active in two modes of international activity or even one mode are firms
with lower levels of GVC involvement. Within dual-mode firms, those that exhibit the double
condition of being a firm that both imports intermediate inputs and exports are the most common.
This is how participation in GVCs is measured in other papers (Baldwin and Yan, 2014).
In order to capture the close and complex linkages between actors within cross-border networks,
GVC-involved firms are those that are simultaneously active in exporting, importing intermediates
and international production (either through inward FDI foreign ownership or outward FDI FDI
maker)
1
. Note that the last condition restricts cross-border networks to intra-firm relationships,
excluding market-based (arm's length) linkages.
Data is from the Survey on Business Strategies (Encuesta sobre Estrategias Empresariales,
initialled ESEE in Spanish). It is a representative sample of Spanish manufacturing firms with 10 or
more employees, using the exhaustive sample of large firms (more than 200 employees) and
random-sampling criteria for small and medium-sized firms. The survey has been carried out since
1990 and it includes around 2,000 firms every year.
2
The ESEE provides establishment-level data
on many of the firm characteristics. As information related to imported intermediate inputs is
available in the survey only as of 2006, the period studied covers the years 2006-2013.
According to our data, three-quarters of all Spanish manufacturing firms are exporters and more
than one-quarter of them (28%) are involved in complex internationalization (Table 1). Nearly all of
the large firms (over 90%) are exporters and half of them are GVC-involved firms. Within the
group of medium-sized firms, exporters also predominate (88% in 2013) and over 30 percent are
involved in complex internationalization. Exporting firms are rarer within small firms (around 55%
in 2013) and even more scarce are firms engaged in cross-border networks (5%). Moreover, in
medium-sized firms, the share of them that active in a complex mix of internationalization
strategies has increased by 10 percentage points during the study period.
Differences in export activity according to internationalization complexity are present not only in
the so-called extensive margin but also in the intensive margin (export value per firm). The average
value of exports per firm is significantly higher for firms that belong to networks than for only
exporting firms. Specifically, it was eight times higher in 2006 and now it is four times. Although
firms involved in complex internationalization make up only 28 percent of exporting firms, they
concentrate 63 percent of total exports in 2013 (75 percent in 2006). This gap is substantially
greater for small firms (3.1 percent of firms concentrate 9.7 percent of total exports), although
1
For measuring foreign ownership and ownership of firms located abroad, any share is considered.
2
Detailed information about the ESEE is available at www.funep.es.
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declining over the period examined. The importance of GVC-involved firms and the subsequent
impact on a country's aggregate exports raises interest in learning about their exporting behaviour.
Table 1: Exporting firms engaged and not engaged in complex internationalization
All firms
Large firms
Medium firms
2006
2009
2013
2006
2009
2013
2006
2009
2013
2006
2009
2013
FIRMS IN GVCs
No. of firms
341
351
319
250
208
149
79
117
150
12
26
20
Share of exporters (%)
27,7
27,8
27,6
49,8
49,2
50,3
23,2
26,7
32,5
3,1
6,5
5,0
Share of total value of
exports (%)
75,2
70,6
63,0
77,5
74,9
66,6
34,1
33,3
39,7
9,7
14,7
11,0
Value of exports per firm
124,2
88,6
104,4
165,9
142,9
207,9
10,5
11,1
15,1
3,0
2,7
3,7
OTHER EXPORTERS
No. of firms
891
912
836
252
215
147
261
322
312
378
375
377
Share of exporters (%)
72,3
72,2
72,4
50,2
50,8
49,7
76,8
73,3
67,5
96,9
93,5
95,0
Value of exports per firm
15,7
14,2
23,4
47,8
46,3
105,4
6,1
8,1
11,1
0,9
1,1
1,6
TOTAL EXPORTERS
No. of firms
1232
1263
1155
502
423
296
340
439
462
390
401
397
Share of total firms (%)
63,1
67,7
74,9
90,1
93,0
94,6
75,4
81,1
88,5
41,4
46,1
56,2
Note: Firm size is measured by the number of employees: large firms (more than 200 employees), medium-sized firms
(between 50 and 200 employees) and small firms (between 10 and 49 employees).
Source: Authors’ elaboration from data from the Survey on Business Strategies.
Figure 1 shows the evolution of export exit rates and export values for continuing exporters by
internationalization mode for the period studied. Two facts can be highlighted. The first is that firms
engaged in complex internationalization strategies exhibit a lower probability of export interruption
than firms that only export. The average exit rate was 0.3% for triple-mode internationalized firms
and 3.8% for only exporters, the latter being higher throughout the entire observation period (figure
on the left).When firm size is considered, the relative lower exit rate for complex internationalizers
is even clearer for small firms.
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Figure 1: Export behaviour by internationalization mode
(a) Exit from exporting (b) Aggregate value of exports (2006=100)
Note: In the figure on the left, export exit rate is measured as the share of the number of export stoppers each year over
the number of exporters in the previous year. In the figure on the right, the aggregate value of exports refers to the sum
of the value of exports of all firms; the panel is balanced on firms that are continuously GVC-involved (or continuously
other exporters) in each of the years 2006 to 2013.
Source: Authors’ elaboration from data from the Survey on Business Strategies.
The second is that internationalization mode also matters in export growth which is higher for
continuing GVC-involved firms, mainly since the great trade collapse
3
. For these firms, the
aggregate value of exports is 70 percent higher in 2013 than in 2006, whereas it is only 20 percent
higher for the other exporting firms (figure on the right). Moreover, the drop in total export value in
2009 was more intense for the second type of firm, whereas the recovery was for the first type of
firm.
Thus, our data suggest a lower tendency to interrupt export activity and a more dynamic export
growth for firms integrated in international production networks. This reveals that, regardless of the
3
To abstract the effects of market entry and exit in export activity or from changes in internationalization modes, we
only consider those firms that were triple-mode internationalizers or only exporting firms throughout the entire period
2006-2013.
0%
1%
2%
3%
4%
5%
6%
2007 2008 2009 2010 2011 2012 2013
All exporting firms
GVCs-involved firms
Other exporting firms
80
90
100
110
120
130
140
150
160
170
180
2006 2007 2008 2009 2010 2011 2012 2013
All exporting firms
GVCs-involved firms
Other exporting firms
9
influence of other factors, the condition of being involved in multidimensional internationalization
is especially beneficial for strengthening export activity.
It could be argued that the lower exit rates from exporting and the higher export intensity growth
exhibited by GVC-involved firms are explained by the peculiarities that distinguish them these
firms from other exporters. To take this into account, for both types of firms, we investigate firms’
characteristics such as labour productivity, size, innovation activity and skilled labour, which are
the usual characteristics in studies including firm heterogeneity as an explanatory factor of export
behaviour.
Table 2 presents these firm characteristics of the GVC-involved firms and compares them with
those of other exporting firms. The first ones are larger, more productive, more innovative and more
skilled-labour intensive. The clearer difference is in size, since the average number of employees in
multidimensional internationalized firms is triple the number in only exporting firms. In the other
characteristics, the gap is narrower (50 percent lower in other exporting firms). Moreover, these
firm characteristics are similar before and after the great trade collapse, except size which has been
lower for both groups of firms since 2009.
Table 2: Firm characteristics by internationalization mode
(average 2006-2013)
Firm characteristic
GVC-involved firms
Other exporting firms
Size (Employment)
589,9
174,6
Labour productivity
73,7
52,7
Product innovation
35,5
21,7
Process innovation
50,0
36,5
Skilled Labour
21,6
14,0
Notes: Labour productivity is measured by value added per employee. Product and Process innovation represent the
percentage of firms that are engaged in product and process innovation. Skilled labour is measured by the ratio of
workers with tertiary education over total firm employment. Data for skilled labour are available only every four years.
Furthermore, to deeply explore these differences, we follow the study by Bernard and Jensen (1999)
and we regress each firm’s characteristic on firm GVC participation. In this way, we try to identify
the distinctive characteristics of firms engaged in GVCs compared to only exporting firms.
           
10
Where X is the firm characteristic to analyze and GVC is a dummy variable that takes the value 1 if
the firm is involved in GVCs, or the value 0 if it is only an exporter. In the estimation, we control
for firm size (measured by the number of employees, Employment), except when the characteristic
to explain is firm size, and for industry-fixed effects at the 2-digit NACE level (Industry) and year-
fixed effects (Time). The premium for integration in networks (β) expresses the average difference
in each firm characteristic between firms involved in complex internationalization and only
exporting firms.
These estimations show that there are substantial differences in characteristics between them (Table
3). Triple-mode internationalized firms are larger, more productive and more likely to engage in
product innovation compared to only exporters.
4
Table3: Premium for being a firm engaged in complex internationalization
(OLS estimation)
Employment
Labour
Productivity
Product
innovation
Process
innovation
Skilled Labour
Firm involved in GVCs
0.078***
0.077***
0.023*
0.009
0.152
Log (employment)
0.119***
0.066***
0.085***
0.830***
No. observations
10,018
9,269
10,018
10,018
9,527
No. firms
2,109
2,025
2,109
2,109
1,866
R2
0.094
0.216
0.086
0.079
0.203
Notes: Estimations for the 2006-2013period. Labour productivity is measured by value added per employee. Skilled
labour is measured by the ratio of workers with tertiary education over total firm employment. Data for skilled labour
are available only every four years. ***, ** and * denote statistical significance at 1%, 5% and 10% level, respectively.
All the estimations include year dummies and NACE-2 digit industry dummies.
3. BELONGING TO NETWORKS AND EXPORT DYNAMICS:THE EMPIRICAL MODEL
3.1. Exit from exporting
The first step of our empirical analysis is to investigate whether the firm's participation in
multidimensional internationalization prevents exit from exporting activity. We propose an
empirical model which analyzes the effect of GVC engagement on the probability of export failure,
while other firm characteristics that might influence export behaviour are controlled for. This is a
crucial issue since firms engaging in a complex mix of internationalization strategies show
distinctive firm characteristics which could contribute to explaining the impact of GVC
4
When the characteristic is whether the firm innovates or not, estimations have also been run using a probit model and
conclusions are similar to those obtained with OLS estimation.
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involvement on export exit. To control for this unobserved firm heterogeneity over time, a random-
effects probit model is estimated
5
:

 
Where
*
it
y
is the estimated dependent variable that will take the value 1 if the firm i ceases
exporting in period t, having exported in the previous year t-1, and zero in any other case (when the
firm continues to export, also having exported in the previous period):
    
where      is a vector that includes the explanatory variables related to
firm characteristics such as belonging to GVCs, size, productivity, product and process innovation
and skilled labour; they are introduced lagged in one period to mitigate endogeneity concerns.  
   is the vector of associated coefficients; denotes the error term that controls for the
firm’s time-invariant fixed effects; denotes the error term that controls for year fixed effects; and
 is the independent error term, of mean zero and constant variance   .
Related literature highlights the role of previous export experience in current export behaviour.
Sporadic exporters or new exporters usually exhibit a low rate of survival than those that have
consolidated their status as an exporter (Albornoz et al., 2012; Creusen and Lejour, 2011; Eaton et
al., 2007). To capture its effect, a dummy variable for being a continuous exporter is also included
in the estimations. We define continuous exporters to be those firms that have exported for three
consecutive years or more before the reference year. The variable takes the value 1 for those firms
and 0 otherwise.
As usual in non-linear models, marginal effects are calculated to simulate the change in the
probability of export exit in response to a change in the explanatory variable. Specifically, we
compute average marginal effects.
The results of the estimations are presented in column (1) of Table 4. It is found that firms involved
in deeper internationalization strategies show a lower probability of ceasing export activity. So, our
5
Fixed-effect probit models are methodologically not possible. Previous econometric literature points out some inherent
problems for fixed-effects in models with dichotomous dependent variable. Computing fixed-effect MCO models
provides implausible predictions outside of zero-one interval (Eppinger and Smolka, 2015). In our case the fixed MCO
model for the probability of exit exporting reports around 20% of negative estimated probabilities. Additionally we
attempt specify logit models controlling for fixed-effects but it might not be possible because the excessive number of
firm dummies. In this regard, Nickell (1981) and Green (2004) point out the problems for getting efficient results, as in
our case, in samples with small T and high individuals.
12
initial hypothesis is confirmed and GVC involvement seems to prevent firms from leaving their
export status
6
.
Regarding the other firm characteristics, most of them are statistically significant and have a
negative impact on export exit. The larger the firm is, the lower the likelihood of export
interruption. Moreover, more productive and more skilled-labour intensive firms also exhibit a
higher probability of survival. Furthermore, non-sporadic exporters are at a lower risk of losing
their status as exporters. Nevertheless, product and process innovation does not have a significant
impact on exit from exporting. While no year dummies are statistically significant, the exit rate was
not significantly different in each year compared to 2006. That is, the likelihood of export
interruption was not higher during the 2009 trade collapse. This result is in line with Behrens et al.
(2013), who reported that the dynamics of export exit during the crisis did not substantially differ
from those observed in a normal year.
To assess whether exporting activity of GVC-involved firms has been hit less strongly than in other
exporting firms, particularly during the crisis and recovery, interaction terms between year dummies
and GVC participation are incorporated in the regressions. The results, which are offered in column
(2) of Table 4, are very similar to those in the first column. Moreover, none of the interactions are
statistically significant. That is, GVC-involved firms show a lower exit rate than other exporting
firms, and this positive behaviour is not particularly different during the 2009 trade collapse nor in
the following years. In a similar way, the risk of export failure for GVC-involved firms in 2009 and
subsequent years is not different compared to what it was in 2006, either.
It could be expected that complex internationalization would influence export exit rates in a
different way depending on firm size. Evidence from the descriptive analysis above suggests that
differences in export exit regardless GVC engagement are shorter for large firms than for small
firms. That is, GVC participation would be more relevant for smaller firms. This hypothesis finds
support in the idea that small firms that manage to join these networks can overcome some of the
limitations, related to their size, to enter and stay in foreign markets, helping them to increase their
survival as exporters.
6
For less complex internationalization modes such as two-way traders, their impact on export exit is not statistically
significant for all firms, while it is positive and significant for the specific group of smaller firms (Díaz-Mora et al,
2015). However, being involved in more complex internationalization strategies enhances the probability of continuing
to export for all firms.
13
Table 4: Estimations results. Dependent variable: Exit from exporting
(Probit model, average marginal effects)
Column (1)
Column (2)
Column (3)
Column (4)
(0.00231)
(0.00232)
(0.00229)
(0.00230)
GVC involvement
-0.0155***
-0.0164***
-0.0239***
-0.0237***
(triple-mode internationalizers)
(0.0051)
(0.0049)
(0.0039)
(0.0040)
Employment
-0.0140***
-0.0141***
-0.0144***
-0.0144***
(0.0023)
(0.0023)
(0.0023)
(0.0023)
Labour productivity
-0.0097***
-0.0097***
-0.0097***
-0.0097***
(0.0034)
(0.0035)
(0.0034)
(0.0035)
Product innovation
0.0008
0.0008
0.0007
0.0007
(0.0057)
(0.0057)
(0.0057)
(0.0057)
Process innovation
-0.0065
-0.0068
-0.0067
-0.0070
(0.0047)
(0.0048)
(0.0044)
(0.0044)
Continuous exporter
-0.0432***
-0.0435***
-0.0425***
-0.0427***
(0.0078)
(0.0077)
(0.0078)
(0.0076)
Skilled labour force
-0.0004**
-0.0004**
-0.0004**
-0.0004**
(0.00018)
(0.00018)
(0.00018)
(0.00018)
Year 2007
-0.0027
-0.0026
-0.0028
-0.0026
(0.0061)
(0.0063)
(0.0061)
(0.0062)
Year 2008
0.0069
0.0058
0.0067
0.0055
(0.0068)
(0.0068)
(0.0068)
(0.0068)
Year 2009
-0.0048
-0.0053
-0.0050
-0.0054
(0.0067)
(0.0067)
(0.0067)
(0.0067)
Year 2010
0.0047
0.0045
0.0042
0.0040
(0.0079)
(0.0080)
(0.0079)
(0.0079)
Year 2011
0.0018
0.0019
0.0015
0.0017
(0.0081)
(0.0082)
(0.0081)
(0.0082)
Year 2012
0.0027
0.0030
0.0025
0.0027
(0.0084)
(0.0086)
(0.0084)
(0.0085)
Interaction terms with year dummies
No
Yes
No
Yes
Year 2007 # GVC involvement
0.0062
-0.0001
(0.0102)
(0.0075)
Year 2008 # GVC involvement
0.022
0.008
(0.0173)
(0.0115)
Year 2009 # GVC involvement
0.017
0.011
(0.0170)
(0.0105)
Year 2010 # GVC involvement
0 .008
0.001
(0.0192)
(0.0117)
Year 2011 # GVC involvement
-0.011
-0.005
(0.0119)
(0.0097)
Year 2012 # GVC involvement
-0.0123
-0.007
(0.0122)
(0.0100)
Interaction terms with Firm Size
No
No
Yes
Yes
14
Employment # GVC involvement
0.017***
0.017***
(0.0028)
(0.0028)
Industry dummies
Yes
Yes
Yes
Yes
Observations
6096
6096
6096
6096
Number of firms
1268
1268
1268
1268
Notes: Standard errors in brackets. *p <0.05; **p <0.01; ***p < 0.001. All explanatory variables are dummies except
labour productivity, firm age and skilled labour. All the estimations include year dummies and NACE-2 digit industry
dummies. Interaction terms between firm size and GVC involvement are added in columns (3) and (4). Interaction
terms between year dummies and GVC variable are added in columns (2) and (4).
We examine this by including an interaction term between firm employment and complex
internationalization. This interaction allows us to explore how the impact of GVC involvement
varies with firm size (or how the effect of firm size on exit from exporting is different according to
GVC involvement). It also helps to isolate the effect of firm size from the effect of GVC
involvement, after controlling for correlation between them (larger firms are more likely to be
engaged in a multidimensional internationalization strategy)
7
.
The last two columns of Table 4 report the results of the estimations when an interaction term
between firm size and GVC involvement is added. It is important to note that, when interaction
effects are added, the coefficient of the variable now represents the effect of that characteristic for
the reference group (in our study, the other exporting firms) whereas the coefficient for the
interaction term captures the differential impact between GVC-involved firms and the reference
group. Anyway, the aforementioned findings about how firm characteristics affect export exit hold
when that interaction term is included. Larger, more productive and more highly-skilled firms and
continuous exporters face a lower risk of being expelled from exporting activity. The interaction
term with firm size is statistically significant, indicating that its influence on export exit differs
when the firm is engaged in GVCs. Moreover, it yields a positive coefficient, implying that firm
size reduces the exit probability less for GVC-involved firms. That is, the influence of size on the
risk of export interruption is less relevant for them, whereas it is significantly higher for other
exporting firm (Figures 2a and 2b).From a different perspective, the negative impact of GVC
participation on exit from exporting is higher (lower) for smaller (larger) firms.
7
For an explanation of how to interpret coefficients of interaction terms in logit or probit models, see Aid and Norton
(2003), Brambor et al. (2006), Buis (2010) and Hoetker (2007).
15
Figure 2a: Predicted export exit probabilities by internationalization mode
Figure 2b: Differences between Firms in GVC and other exporters in average marginal
probability of export exit by size
All these results are similar whether or not interactions with year dummies are added (column 4)
and no significantly different impact of GVC involvement in 2009 is found.
3.2. Export values
The second step of our analysis is to address how complex internationalization influences the level
of exports. Here we propose an empirical model to test the impact of GVC engagement on the value
0.02 .04 .06 .08 .1
Pr(Exit Export=1 Assuming U_I=0)
2.3 2.5 2.7 2.9 3.1 3.3 3.5 3.7 3.9 4.1 4.3 4.5 4.7 4.95.1 5.3 5.5 5.7 5.9 6.1 6.3
Log(size)
Other exporters Firms in GVC
Predictive Margins at 95% CIs
-.1 -.08 -.06 -.04 -.02
0
Effects on Pr(Exit export=1 Assuming U_I=0)
2.3 2.5 2.7 2.9 3.1 3.3 3.5 3.7 3.9 4.1 4.3 4.5 4.7 4.9 5.1 5.3 5.5 5.7 5.9 6.1 6.3
Ln(Size) values
16
of exports, while other firm characteristics that might affect export behaviour are controlled for
8
.
We estimate a dynamic panel data model to account for persistence of exports resulting for a
combination of sunk costs and uncertainty (Das et al., 2007).The econometric model takes the
following form:
Yit = αYit-1 + βXit-1 + εi +εt + ηit (4)
Where Yit is the logarithm of the value of exports and Yit-1 is the logarithm of the one-year lagged
export value
9
. The remaining terms are the same as in Equation (2).
Since the lagged dependent variable appears on the right-hand side of the regression equation, the
model is estimated with the two-step system GMM method in order to obtain more efficient
estimators (Arellano and Bover, 1995; Blundell and Bond, 1998). It is well suited to deal with
potential endogeneity issues due to including the lagged dependent variable and other explanatory
variables that were not fully exogenous, and also with unobservable firm heterogeneity (i.e., fixed
firm effects). This method combines the estimation in differences, where the instruments are the
own lags of the endogenous or predetermined variables, and the estimation in levels, where the
instruments are the variables in first differences.
Table 5 reports the results of the dynamic panel data estimation. Column (1) provides estimates for
the basis specification, where interaction terms are not included. The estimation results reveal
persistence in the firm’s export activity since the level of exports depends positively on the value of
previous exports. The positive and statistically significant coefficient for the GVC variable indicates
that firms engaged in a complex mix of internationalization strategies enjoy higher export values
once previous export level and other firm characteristics are controlled for. That is, exports from
GVC-involved firms do grow relatively faster. Among these other firm characteristics, size, labour
productivity, process innovation, skilled labour and continuous exporter affect positively export
level. Only product innovation influences negatively. Therefore, larger firms exhibit better export
performance, a result also found by Berthou and Vicard (2015), and continuous exporters status
tend to grow less rapidly than sporadic or new exporters (conditional on survival), a finding that it is
also consistent with previous studies (Cheng and Yu, 2010; Creusen and Lejour, 2011; Berthou and
8
Alternatively we have specified a two-stage Heckman probit in order to consider the possibility of sample selection
bias in the export value equation. We have obtained non-significant values for the inverse Mills ratio, indicating
absence of sample selection bias. This result confirms the suitability of using separately models to analyse the exit of
exporting and the value of exports. Results are omitted due to space constraints but are available upon request.
9
As Equation (4) includes the lagged dependent variable as a regressor, this equation can be expressed as follows:
Yit - Yit-1 = (α-1)Yit-1 + βXit-1 + εi +εt + ηit (5)
Where the dependent variable is the growth rate in exports defined as the annual difference in log export value (Silve
and Plekhanov, 2015).
17
Vicard, 2015). It is worth noting that the coefficients for the year dummies show that there are
significant time-specific effects for each year, negative for the years 2007 to 2010 and positive for
the years 2011 and 2012 with 2006 being the reference year. This means that, once firm
characteristics are controlled for, the level of exports was significantly lower from 2007 to 2010 and
higher since then, compared to the 2006 level.
Column (2) reports estimates in which interactions between GVC involvement and year dummies
are added. Most of them (interaction terms with years 2009to 2012) are statistically significant and
have a positive sign. These results indicate that GVC-involved firms show a better export
performance that is even higher since 2009, suggesting that the negative impact on export levels of
the trade collapse in 2009 has been lower for GVC-involved firms and that the subsequent recovery
was more intense. This better export behaviour during the crisis years is also found for foreign-
owned firms in Eppinger and Smolka (2015) who explore the role of foreign ownership status on
the export intensity of Spanish manufacturing firms before and after the 2009 trade collapse. They
find a positive impact which is significantly higher in the years 2009-2012 than before the crisis
when pooled OLS estimates are used (the results are not clear with fixed effects estimates). They
argue that these results support the view that foreign-owned firms can alleviate credit constraints by
exploiting their preferential access to foreign capital markets in the credit crunch.
Table 5: Estimation results. Dependent variable: Export value
(Dynamic GMM model)
Column (1)
Column (2)
Column (3)
Column (4)
Lagged export value
0.357***
0.362***
0.356***
0.361***
(0.00204)
(0.00216)
(0.00165)
(0.00183)
GVC involvement
0.259***
0.0216***
0.249***
0.0145*
(0.00742)
(0.00840)
(0.00677)
(0.00770)
Employment
0.878***
0.902***
0.859***
0.877***
(0.00975)
(0.0104)
(0.00789)
(0.00824)
Labour productivity
0.0956***
0.103***
0.0984***
0.103***
(0.00440)
(0.00443)
(0.00385)
(0.00382)
Product innovation
-0.0165**
-0.0130*
-0.0096
-0.0063
(0.00694)
(0.00700)
(0.00615)
(0.00646)
Process innovation
0.0279***
0.0271***
0.0329***
0.0331***
(0.00441)
(0.00452)
(0.00407)
(0.00422)
Continuous exporter
0.0386***
0.0369***
0.0398***
0.0355***
(0.00712)
(0.00712)
(0.00629)
(0.00661)
18
Skilled labour force
0.0021***
0.0017***
0.0019***
0.0017***
(0.000211)
(0.000207)
(0.000194)
(0.000196)
Year 2007
-0.0951***
-0.112***
-0.0933***
-0.111***
(0.00528)
(0.00647)
(0.00460)
(0.00569)
Year 2008
-0.185***
-0.203***
-0.182***
-0.200***
(0.00472)
(0.00582)
(0.00408)
(0.00530)
Year 2009
-0.272***
-0.301***
-0.270***
-0.296***
(0.00468)
(0.00576)
(0.00379)
(0.00517)
Year 2010
-0.0553***
-0.0780***
-0.0561***
-0.0722***
(0.00398)
(0.00528)
(0.00351)
(0.00483)
Year 2011
0.0086***
-0.0355***
0.0085***
-0.0327***
(0.00248)
(0.00397)
(0.00207)
(0.00376)
Year 2012
0.0397***
0.0203***
0.0402***
0.0217***
(0.00250)
(0.00369)
(0.00210)
(0.00329)
Interaction terms with year dummies
No
Yes
No
Yes
2007 # GVC involvement
0.0087
0.0210*
(0.0135)
(0.0112)
2008 # GVC involvement
0.0079
0.0179*
(0.0114)
(0.0098)
2009 # GVC involvement
0.0516***
0.0528***
(0.0106)
(0.0084)
2010 # GVC involvement
0.0318***
0.0229***
(0.0087)
(0.0071)
2011 # GVC involvement
0.108***
0.105***
(0.0077)
(0.0068)
2012 # GVC involvement
0.0338***
0.0350***
(0.0072)
(0.0062)
Interaction terms with Firm Size
No
No
Yes
Yes
Employment # GVC involvement
0.0001
0.0001***
(0.0001)
(0.0000)
Industry dummies
Yes
Yes
Yes
Yes
Sargan Test
793.8286
786.7092
809.6519
803.9806
Sargan p-value
(0.3670)
(0.4460)
(0.3986)
(0.4637)
AR(2) test
1.2655
1.274
1.2729
1.2795
AR(2) p-value
(0.2057)
( 0.2027)
(0.2031)
(0.2007)
Observations
5899
5899
5899
5899
Number of firms
1212
1212
1212
1212
Notes: Two-step system GMM estimations. Standard errors in brackets. *p <0.05; **p <0.01; ***p < 0.001. All
explanatory variables are dummies except labour productivity, firm age and skilled labour. All the estimations include
year dummies and NACE-2 digit industry dummies. Interaction terms between firm size and GVC involvement are
added in columns (3) and (4) and between year dummies and GVC involvement in columns (2) and (4).System GMM
estimations. AR(2) test is the secondorder tests of serial correlation, and Sargan Test is a test of overidentification of
restrictions; pvalues below 0.05 means rejecting the validity of the instruments used in the estimation.
19
Next, we control for the relationship between GVC involvement and firm size by including an
interaction term between them (column (3)). This implies that the effect of employment may be
different between GVC-involved firms and other exporting firms, or put another way, the impact of
GVC involvement may vary at different levels of employment. As has already been explained, with
interaction effects, the coefficient for the size captures the effect of that characteristic for the
reference group (other exporting firms). Our findings reveal that for other exporting firms, export
growth increases with size, and the positive effect is not significantly different for GVC-involved
firms (since the coefficient for the interaction term is not statistically significant).
Finally, in column (4) we also add interactions with year dummies, all of them showing positive
and statistically significant coefficients. These results imply that export performance in each year is
particularly better for GVC-involved firms. The higher coefficient of the interaction term with the
year 2009 reveals that GVC-involved firms are performing differently mainly in that year,
supporting the hypothesis of less contractive behaviour of those firms during the trade collapse. The
coefficients for the other explanatory variables remain very similar. Only the interaction term
between complex internationalization and firm size changes, becoming statistically significant,
although the coefficient is really very small. This means that the positive impact of engagement in
GVCs on export value decreases slightly with firm size and it is a little more relevant a factor for
smaller firms (or, from a different perspective, firm size is a factor of less importance for GVC-
involved firms).
To verify GMM consistency, the validity of the instruments used and the absence of second order
autocorrelation need to be ensured; we do that using the Sargan test and a test for second order
correlation. According to their p-values which are reported at the bottom of Table 5, there is no
evidence of second order correlation and the joint validity of the instruments used is confirmed.
5. CONCLUSIONS
In this article, we have studied the impact of complex internationalization on export behaviour, in
particular, on the probability of ceasing to export and on the export value of continuing exporters.
Moreover, we have also investigated whether the impact is different during the trade collapse in
2009 and the following recovery.
According to our descriptive analysis, multidimensional internationalized firms belong to an elite
group of firms that exhibit a higher level of labour productivity, are larger and show a higher
likelihood of engaging in product innovation. On the basis of the estimation of a random-effects
20
probit model with panel data, we have found that once such firm characteristics are controlled for,
internationalization complexity plays an important role in continuing to export. GVC-involved
firms show a lower exit rate compared to other exporting firms and this behaviour is not different
during the 2009 trade collapse nor in the subsequent years. Additionally, the negative impact of
GVC participation on exit from exporting is higher for smaller firms.
The results from a dynamic panel data model also show that being involved in more sophisticated
internationalization modes positively influences the level of exports. Furthermore, GVC-involved
firms show a better export performance that is even higher since2009, suggesting that the negative
impact of trade collapse in 2009 on export level has been lower for these firms and the subsequent
recovery has been more intense. Thus during the financial crisis complex internationalization has
played an amplified positive effect on the intensive margin of trade. As Stehrer et al. (2012)
suggest, it may have been caused by the fact that firms inside the GVCs help each other, e.g. by
providing trade finance.
To conclude, it seems that firms active in a complex mix of internationalization strategies have an
added advantage which enables them to confront the uncertainty of foreign markets in better
conditions and translates to a lower likelihood of ceasing exporting and to higher export values.
21
Acknowledges: The authors gratefully acknowledge the financial support of University of Castilla-La
Mancha internal funding for research groups (GI20152903).
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This paper provides evidence about the impact that size and experience in exporting have on firms' dynamics, a critical input in models of firms dynamics. The analysis uses a census of French exports by firm-destination-product over the period 1994–2008 with a monthly frequency. We first uncover a large calendar year effect associated with the timing of entry: the fact new exporters may start exporting late during the year inflates the growth rate between the first and second years. When computed on a full year basis starting with the month of entry, first year exports of new exporters are on average 36 per cent larger than on a calendar year basis. We then show that, controlling for size, export experience is negatively related to net growth of exports for surviving exporters. Controlling for export experience, the relationship between average size and net growth of exports shows no systematic pattern. Finally, churning in foreign markets, that is the gross contributions of entry and exit to exporters net growth, is decreasing with export experience and (sharply) with size.
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How did small exporters fare relative to large exporters during the 2008-09 crisis? Examining the performance of Mexican exporters reveals that crisis did not make smaller exporters more likely to exit, grow less, or expand their product line less. Workhorse models of trade, in response to an aggregate demand or credit shock, would predict the opposite. The same models, however, are consistent with the data before and after the crisis: within industry, (i) firm exit rate is decreasing in size; (ii) conditional on survival, export growth is largely decreasing in size, (iii) net product addition is increasing in size.
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The logit and probit models have become critical parts of the management researcher's analytical arsenal, growing rapidly from almost no use in the 1980s to appearing in 15% of all articles published in Strategic Management Journal in 2005. However, a review of three top strategy journals revealed numerous areas in their use and interpretation where current practice fell short of ideal. Failure to understand how these models differ from ordinary least squares can lead researchers to misunderstand their statistical results and draw incorrect conclusions regarding the theory they are testing. Based on a review of the methodological literature and recent empirical papers in three leading strategy journals, this paper identifies four critical issues in their use: interpreting coefficients, modeling interactions between variables, comparing coefficients between groups (e.g., foreign and domestic firms), and measures of model fit. For each issue, the paper provides a background, a review of current practice, and recommendations for best practice. A concluding section presents overall implications for the conduct of research with logit and probit models, which should assist both authors and readers of strategic management research.