Policy Research Working Paper                            9596



                World Development Report 202 1

                                Background Paper


                  Regulating Personal Data
              Data Models and Digital Services Trade

                           Martina Francesca Ferracane
                               Erik van der Marel




World Development Report 2021 Team
 &
Macroeconomics, Trade and Investment Global Practice
March 2021
Policy Research Working Paper 9596


  Abstract
 While regulations on personal data diverge widely between                          estimates whether countries sharing the same data model
 countries, it is nonetheless possible to identify three main                       exhibit higher or lower digital services trade compared to
 models based on their distinctive features: one model based                        countries with different regulatory data models. The results
 on open transfers and processing of data, a second model                           show that sharing the open data model for cross-border
 based on conditional transfers and processing, and third                           data transfers is positively associated with trade in digital
 a model based on limited transfers and processing. These                           services, while sharing the conditional model for domestic
 three data models have become a reference for many other                           data processing is also positively correlated with trade in
 countries when defining their rules on the cross-border                            digital services. Country-pairs sharing the limited model,
 transfer and domestic processing of personal data. The                             instead, exhibit a double whammy: they show negative
 study reviews their main characteristics and systematically                        trade correlations throughout the two components of data
 identifies for 116 countries worldwide to which model                              regulation. Robustness checks control for restrictions in
 they adhere for the two components of data regulation                              digital services, the quality of digital infrastructure, as well
 (i.e. cross-border transfers and domestic processing of                            as for the use of alternative data sources.
 data). In a second step, using gravity analysis, the study




 This paper is a product of the World Bank’s World Development Report 2021 Team in collaboration with the Macroeconomics,
 Trade and Investment Global Practice. It is part of a larger effort by the World Bank to provide open access to its research
 and make a contribution to development policy discussions around the world. Policy Research Working Papers are also
 posted on the Web at http://www.worldbank.org/prwp. The authors may be contacted at mmolinuevo@worldbank.org.




         The Policy Research Working Paper Series disseminates the findings of work in progress to encourage the exchange of ideas about development
         issues. An objective of the series is to get the findings out quickly, even if the presentations are less than fully polished. The papers carry the
         names of the authors and should be cited accordingly. The findings, interpretations, and conclusions expressed in this paper are entirely those
         of the authors. They do not necessarily represent the views of the International Bank for Reconstruction and Development/World Bank and
         its affiliated organizations, or those of the Executive Directors of the World Bank or the governments they represent.


                                                       Produced by the Research Support Team
        Regulating Personal Data: Data
       Models and Digital Services Trade
                                 Martina Francesca Ferracane
                                 European University Institute (EUI)

                                         Erik van der Marel
                             ECIPE, Université Libre de Bruxelles (ULB)




Keywords: data protection, privacy, globalization, trade, WTO
JEL codes: F13, F15, K20, K24, L86




This paper is a joint product of the WDR 2021 team and the International Trade Unit (ETIRI) of the
Macroeconomics, Trade, and Investment GP. The study was commissioned as a background paper to
the WDR 2021 “Data For Better Lives” and as an input to ETIRI’s work program on Digital Trade
Regulation (P171481), under the guidance of Martín Molinuevo (Senior Counsel, ETIRI).


* The authors thank Lillyana Sophia Daza Jaller for excellent research assistance, and Martín Molinuevo for
helpful comments during the process. They especially thank Ben Shepherd, Sébastien Miroudot and Hildegunn
Nordås for helpful comments and feedback while writing the paper, as well as Daria Taglioni, Sébastian Sáez,
Vivien Foster, Gonzalo Varela, Mary Hallward-Driemeier, Bernard Hoekman and Matteo Fiorini for comments
and reviews on earlier drafts.
1.      Introduction

Digital services are one of the fastest growing components of international trade, which creates
large benefits for the global economy. The tradability of digital services relies heavily on the ability of
companies to process and transfer data across borders (WTO, 2018) and, in turn, this ability is
affected by rules governing data. Yet, these rules are increasingly fragmented across the globe. This
paper focuses on rules on personal data, whose transfers and processing are treated differently
across the globe. Rules governing personal data follow roughly three different regulatory models,
based on different features: one model based on open transfers and processing of data, a second
model based on conditional transfers and processing, and third a model based on limited transfers
and processing. This regulatory divergence is likely to distort trade in digital services across the
global economy.

This paper investigates empirically the question of whether sharing a regulatory approach towards
the cross-border transfer and domestic processing of personal data is associated with trade in digital
services. In other words, do country-pairs adhering to the same data model show positive or
negative trade correlations in digital services? To shed light on this question, the analysis considers
two components of data regulation for each of the three data models: one component related to
rules on the cross-border transfers of personal data, and a second component related to rules
governing the domestic processing of personal data. Digital services are defined as those that are
classified as intensive users of software technologies over labour as shown in Ferracane and van der
Marel (2018), and in particular focus on information and communication services.

The study's the first step is to systematically identify the data models followed by a large range of
countries around the world, featuring 116 countries varying from developed to least developed
countries. 1 For each country, the study assesses the model implemented with regards to the two
components of data regulation. In a second step, the analysis empirically estimates (a) which of the
three data models is correlated with greater or lower trade in digital services; and (b) which of the
two components is driving these correlations. To investigate this empirical question, a gravity model
is used in order to estimate whether country-pairs sharing the same data model exhibit greater or
lower digital services trade compared to the benchmark, which are countries that follow different
data models.

This paper contributes to the broader literature on the economic impact of regulating personal data.
In particular, the analysis combines the legal strand of this literature, such as Aaronson and Leblond
(2018), Gao (2018) and Azmeh et al. (2019), that describes the data realms from a legal and political
economy perspective; the economic literature that quantitatively estimates the impact of regulatory
rules of data, such as Ferracane et al. (2020); as well as the literature that investigates the
economics of privacy, such as Acquisti et al. (2016). As in Ferracane and van der Marel (2018), this
paper assesses whether rules on data are associated with digital services trade. However, the
novelty of this paper is that (a) it focuses on rules on personal data rather than more broadly on all
types of data; (b) it deepens the analysis by describing and quantifying the three main global models
for personal data to which countries are classified, and investigate their regulations regarding both
cross-border transfers and domestic data processing; and (c) it uses a gravity model of trade,
covering bilateral trade flows of digital services. As such, the paper investigates the relationship
between sharing a regulatory model for personal data and digital services trade.


1
 The selection of countries is performed in accordance with the World Bank World Development Report 2021
and driven by data availability.

                                                    2
The results show that, with regards to the component of rules governing data transfers, trading
partners sharing the open model exhibit positive trade correlations in digital services, whereas
country-pairs sharing the limited model show negative trade correlations. The result for the
conditional model is mixed, with positive and negative trade correlations found for different sectors.
A differing pattern appears when looking at regulatory rules for the domestic processing of personal
data: country-pairs sharing the open model as well as the limited model reveal negative trade
correlations in digital services, while countries sharing the conditional model show positive trade
correlations. The results are especially significant for the IT and information services sector, which
covers computer services, Business Processing Outsourcing (BPO) services, as well as database and
data processing services.

The study’s findings are relevant for policy makers. These findings are especially relevant for
developing countries given their potential to benefit from participating in global digital services
trade. Many developing countries are able to trade digital services with trade costs that are
considered to be lower thanks to the very nature of the internet which reduces the burden of
distance (see e.g. Lendle et al., 2016). Countries that are in the process of defining their regulatory
framework for personal data might therefore consider how each model correlates with trade in
digital services in light of their ability to export.

The remainder of the paper is organized as follows. The next section discusses the previous
literature and shows the link between this work and the work on the political economy and legal
analysis of the three models for data regulation. Section 3 defines the three data models, provides a
descriptive analysis of their implementation globally, and shows how this information links up with
economic and development variables. Section 4 sets out the baseline gravity model and provides
various robustness checks. Section 5 shows the results of the regressions, and the last section
concludes by discussing the policy implications.



2       Literature Review

The existing literature on the relationship between data regulation and international trade is still
very limited, especially when focussing on personal data. In part, this lack may be explained by the
difficulty in collecting extensive policy information on the regulatory rules in different countries. In
the case of data regulations, this difficulty is further amplified by the novelty of the topic. However,
in the past years, some significant efforts have been made to categorize data-related regulatory
policies, upon which this papers elaborates.

Earlier undertakings to collect regulatory data policies can be found in Ferracane et al. (2018), in
which the authors created the Digital Trade Estimates Database and the Digital Trade Restrictiveness
Index (DTRI). The database lists a wide range of policy restrictions in digital trade for 67 countries,
including data-related policy measures. The analysis on data policies has been further refined with
the development of the Data Restrictiveness Index presented in Ferracane et al. (2020), which looks
at data restrictions that apply on cross-border data flows and on domestic data processing.
Meanwhile, other databases have now also picked up data-related measures that affect digital
trade, particularly with respect to digital services. Examples include the OECD’s Digital Services Trade
Restrictiveness Index (DSTRI) as shown by Ferencz (2019) and the newly updated Services Trade
Restrictiveness Index (STRI) developed by the World Bank-WTO (i.e. Borchert et al., 2019). These two




                                                    3
databases however only cover restrictions on cross-border data transfers. 2 Moreover, none of these
databases has a specific focus on personal data, although they do also list measures regulating
personal data.

Another strand of the literature relevant for this analysis is the one discussing data-related
regulations from a legal vantage point, and which identifies the defining features of the existing
global data realms. Aaronson and Leblond (2018) show that data governance across the globe takes
shape into three distinct models, namely the ones developed by the US, EU, and China. The authors
discuss data-related governance with respect to trade policy, including a reference to the treatment
of privacy. Gao (2018) presents the contrasting policy approaches between China and the US with
respect to digital trade, while in Gao (2019) the author delves deeper into the features of the China
model with regards to data regulations.

Other recent works also make note of the differing models of global data governance. These works
either discuss the three data models in relation to the political economy of digital policies in the US
(Azmeh et al., 2019) or from the perspective of the WTO (Hodson, 2018; Sen, 2018). In addition,
another set of works does not explicitly distinguish between the models of global data governance
but discusses aspects of the current state of play in data governance whilst proposing the potential
for regulatory cooperation (Mattoo and Meltzer, 2018; Meltzer, 2019). These authors also point out
to the separation between restrictive policies inhibiting trade and other associated regulatory
policies that are related to data privacy. Other recent works such as Daza Jaller et al. (2020) make a
distinction between data regulations that are likely to adversely affect digital trade and other types
of regulatory policies that in fact can promote the development of digital markets by creating trust,
such as regulatory policies related to data privacy and protection.

This study also contributes to the literature on the economic impact of data protection rules.
Previous studies on this issue include Christensen et al. (2013), which uses calibration techniques to
evaluate the impact of the GDPR proposal on small- and medium-sized enterprises (SMEs) and
concludes that SMEs that use data rather intensively are likely to incur substantial costs in complying
with these new rules. Another study by Bauer et al. (2013) uses a computable general equilibrium
model to estimate the economic impact of the GDPR and finds a reduction of trade between the EU
and the rest of the world. More generally, this strand of the literature covers the research on the
economics of privacy, covering the economic value and consequences of protecting and disclosing
personal data. Acquisti et al. (2016) provides a general overview of the theoretical and empirical
research on the economics of privacy and shows how the economic analysis of privacy has evolved
over time and has become increasingly nuanced and complex with the advancements of information
technology.

This paper combines these varying strands of the literature regarding personal data, data restrictions
and data governance. Specifically, it starts by developing a taxonomy to identify the various data
models that regulate personal data on the basis of their specific features. Based on this taxonomy,
which covers three data models, the study systematically categorizes the 116 countries to see to
which of the three models they belong to. It does so by looking both at regulations related to cross-
border data transfers and domestic data processing as two separate components. Then, as part of


2
 Restrictions on domestic processing of data may not be considered as a direct trade restriction but do have
an impact on the economic performance of firms as illustrated in Ferracane et al. (2020). Both the OECD and
the World Bank-WTO indices omit this type of domestic regulatory data measures. Regulatory rules aiming at
the domestic processing of data typically aim to achieve a non-economic policy goals as set out by
governments, such as privacy and security. However, these rules can also create restrictions for trade.

                                                      4
the next step the study uses this categorization for the first time into a gravity model to study the
relationship between data models and trade in digital services. In particular, the paper looks at
whether sharing the same data model between country-pairs is positively or negatively correlated
with trade in digital services among these countries.



3.       Three Data Models

While regulations of personal data diverge widely between countries, it is nonetheless possible to
identify three main approaches with some distinctive characteristics: one model based on open
transfers and processing of data, a second model with conditional transfers and processing, and a
third one that is based on limited transfers and processing. These three data models have become a
reference for many other countries when defining their rules on both the cross-border transfer and
the domestic processing of personal data. 3



3.1      Taxonomy

Table 1 summarizes the main features of the three data models, broken down by the two
components of cross-border transfers and domestic processing of data. Each data model has several
defining features that described and summarized as follows.

The open model for data transfers and processing is characterized by the absence of restrictions on
cross-border data flows. Neither does the open model have a comprehensive framework for
personal data protection that applies to domestic data processing. 4 With regards to cross-border
data transfers, countries following this model usually rely on a baseline set of privacy principles and
leave to companies the flexibility to self-regulate on a voluntary basis. Under this model, firms
usually remain accountable for how personal data is treated, also when it is transferred to a
recipient in a third country. However, several countries following this model simply lack any
accountability on how personal data is treated after crossing the borders. For domestic processing,
the open model is defined by the lack of a comprehensive framework on personal data and,
therefore, data subjects have only limited rights when it comes to how their personal data is
handled. Under this model, it is not uncommon that certain sensitive categories of data, such as in
finance and health, have sectoral rules on data processing. In general, countries that fit under this
model consider data protection as a consumer right. This model also covers all those countries that
simply have not yet regulated personal data at all.



3
  Note that there is no globally accepted definition of personal data. For example, according to the US Office of
Management and Budget guidance to federal agencies (OMB, 2016), personal data refers to “information that
can be used to distinguish or trace an individual's identity, either alone or when combined with other
information that is linked or linkable to a specific individual”. The EU General Data Protection Regulation
(GDPR) instead defines personal data more widely as “any information relating to an identified or identifiable
natural person (‘data subject’); an identifiable natural person is one who can be identified, directly or
indirectly, in particular by reference to an identifier such as a name, an identification number, location data, an
online identifier or to one or more factors specific to the physical, physiological, genetic, mental, economic,
cultural or social identity of that natural person” (Art. 4). This uncertainty poses additional challenges to the
analysis of the impact of data models on trade.
4
  For example, Gao (2018) refers to the US Telecommunication Act of 1996, 47 U.S.C.¶230(b)(2) which states
that it is “the policy of the US (…) to preserve (…) free market (…) unfettered by Federal or State regulation”.

                                                        5
The second data model is the one based on conditional transfers and processing. Countries following
this model take a comprehensive and fundamental rights approach to data protection with
preventative regulation. 5 Regarding cross-border data transfers, countries applying this model
impose certain conditions to be fulfilled ex-ante for the transfer of personal data across borders.
These conditions can be quite diverse, including the consent of the data subject, the use of specific
legal mechanisms such as binding corporate rules, the compliance with specific codes of conduct, or
the requirement that the recipient countries have a regime for data protection considered as
‘adequate’. For data processing in the domestic market, this model is characterized by the presence
of a comprehensive regime for personal data protection, which includes the consent for data
collection, extensive data subject rights such as the right to access, modify and delete data, and in
most cases also the establishment of data protection authorities. In these countries, personal data
protection is usually treated as a fundamental human right.

         Table 1: Main features of data models used for the categorization of countries

                          Cross-border data transfers                  Domestic data processing
       Open               Self-certification; self-assessment          Lack of comprehensive data
       Transfers and      schemes; ex-post accountability; trade       protection framework; lack
       Processing         agreements and plurilateral/bilateral        of informed consent; privacy
       Model              arrangements as only means to                as a consumer right.
                          regulate data transfers.


       Conditional        Conditions to be fulfilled ex-ante,          Wide data subject rights;
       Transfers and      including adequacy of the recipient          data subject consent; right to
       Processing         country, binding corporate rules             access, modify and delete
       Model              (BCR), standard contract clauses             personal data; establishment
                          (SCCs,) data subject consent, codes of       of data protection
                          conduct, among others.                       authorities (DPAs) or
                                                                       agencies; privacy as
                                                                       fundamental human right.

       Limited            Strict conditions including bans to          Extensive exceptions for
       Transfers and      transfer data cross border; local            government access to
       Processing         processing requirements: ad hoc              personal data; privacy vs
       Model 6            government authorization for data            security and social order.
                          transfers; infrastructure requirements;
                          ex-ante security assessments.

                                           Source: Authors.




5
  In the case of the EU, which is the main actor embodying this model, the issue of privacy and data protection
is incorporated as a matter of fundamental rights in the European Convention of Human Rights (Art.8), Lisbon
Treaty (Art. 16) and the Charter of Fundamental Rights of the EU (Artt. 7-8).
6
  The reference to limited model is driven by the cross-border element of the model in order to create
consistency with the analysis presented in the World Development Report 2021, which focuses on the cross-
border element.

                                                       6
Finally, the third model is based on limited transfers and processing of data. This model is more
common among countries where the concept of the right to privacy is pretty recent. 7 Countries
following this model tend to link data privacy to cybersecurity, given that generally data regulation is
elevated into a matter of national security (e.g. see Gao, 2019). 8 Countries following this model are
characterised by extensive restrictions on cross-border data transfers and by systematic control of
personal data by national authorities. In regard to the cross-border transfers of personal data, this
model imposes strict requirements which include the local processing of data or the ex-ante
authorization by the government following a security assessment. 9 Regarding the domestic
processing of personal data, countries following this model impose extensive and systematic control
over data, including indiscriminate government access to data to protect national security and public
order (Wang, 2012; Rubinstein et al., 2014). 10 Note that, when a country has a comprehensive data
protection regime in place, but still allows for extensive exceptions for government access to
personal data, this country is nonetheless categorized under this model. The reason is that, despite
the law is giving rights to the data subjects, the regulatory framework provides extensive exceptions
to these rights.



3.2     Mapping Data Models

The above-described characteristics of each data model serve as reference points to systematically
categorize 116 countries into one of the three models. Figure 1 and 2 provide a world map of this
categorization for the cross-border transfer and domestic data processing components, respectively.
The open model is highlighted in blue, the one based on conditions in green, and the limited model
in red. Data is based for the most recent year, namely 2019.

Table A1 in the annex also shows the results of this categorization by listing the countries that
belong to each regulatory data model, also split into the two components. Note that a country does
not necessarily belong to the same model across the two parts. For instance, Tunisia, Ivory Coast and
Ukraine follow the limited transfers model, whereas these countries follow the conditional model for
domestic processing of data. Another example are countries from North America which all follow the


7
  In China, which is the major actor employing this data model, the first mention to data privacy appeared
when the Tort Liability Law was enacted in 2009 (Wang, 2012).
8
  Regarding China, Gao (2019) adds that “the key to understand data regulation in China, therefore, must be
security”. The heightened link with security not only explains the domestic regulatory framework in China, but
also informs on how China would deal with the issue at the international level. As stated by President Xi,
“there is no national security without cybersecurity”.
9
  See China’s 2017 Cybersecurity Law, which imposed several restrictions aiming to “safeguard cyber security,
protect cyberspace sovereignty and national security”, as stated in the Cybersecurity Law of the People's
Republic of China, as adopted at the 24th Session of the Standing Committee of the Twelfth National People's
Congress of the People's Republic of China on November 7, 2016, Art. 1, available at
http://www.chinalawinfo.com. On China, see also Ferracane and Lee-Makiyama (2017) and Gao (2019).
Another example if the Russian Federal Law No. 242-FZ “On Amending Certain Legislative Acts of the Russian
Federation Regarding Clarifying the Personal Data Processing Procedure in Information and
Telecommunication Networks’ from 21 July 2014, which required data operators to ensure that the recording,
systematisation, accumulation, storage, update/ amendment, and retrieval of personal data of the citizens
of the Russian Federation is made using databases located in the Russian Federation.
10
   Wang (2012) states that with respect to China: “in the constitution law, penal laws, penal litigation laws,
state security laws, and other public sector laws there are many exemption rules and vague definitions that
grant the government extensive rights and generous room for flexibility for investigation, seizure, and search,
especially in the areas of state security or for maintaining social order”.

                                                       7
open transfers model for data flows across borders, but both Canada and Mexico have adopted the
conditional model for domestic data processing. Overall, only roughly half of the countries in the
sample follow the same model for both cross-border transfers and domestic processing of data. Of
these, 35 countries follow the conditional model, 25 countries follow the open model, and only 4
countries follow the limited model, as can be seen in Table A1 as well.




                                                 8
Figure 1: World map showing the three data models for the cross-border (CB) data flows component (2019)




                                                     9
Figure 2: World map showing the three data models for the domestic data processing (DR) component (2019)




                                                     10
With respect to rules related to cross-border data transfers, there are 39 countries that follow the
open model, representing a share of 34 percent of the 116 countries analysed; 66 countries follow
the conditional transfers model, representing 57 percent of the total country sample; whereas only
11 countries follow the limited transfers model, representing a share of 9 percent. When considering
the EU as one entity, the share of countries following the open transfers and conditional transfers
models becomes almost equal.

Regarding the rules on the domestic processing of data, Table A1 shows that the number of
countries pursuing the open processing model drops to 29, representing a share of 25 percent of all
countries considered. Conversely, the number of countries following the conditional processing
model goes up to 79, representing a share of 65 percent. Last, only 12 countries in the sample follow
the model with limited data processing, with a share of 10 percent. Again, when counting the EU as
one entity, the share of the conditional processing model is substantially reduced but nonetheless
remains higher than the share of countries that follow the open processing model.

As such, the distribution of the three models in the dataset shows a fair amount of variability, which
facilitates the econometric analysis this paper employs, which is described below.



3.3     Descriptive Analysis

Before turning to the econometric assessment, this section presents some descriptive analysis. In
particular, it shows the share of global digital services trade that is captured by each of the three
data models (section 3.3.1); the top 10 country-pairs of digital services trade that have the same
data model in place (section 3.3.2); and show how the categorization of the three data models
relates with digital services trade and various other development variables (section 3.3.3). Given that
the econometric analysis uses the gravity model, it also relate the main variable of interest with
various gravity determinants such as distance and market size (section 3.3.4), and finally with some
variables related to the internet (section 3.3.5).

The analysis is conducted using the trade data available in the TiVA database, in particular the
underlying gross exports data. This data source covers bilateral goods and services trade up till the
year 2015. 11 The analysis focuses on digital services trade, which covers different sectors. First, it
includes the purely digital services such as publishing, audio-visual and broadcasting services,
telecommunications, and IT and other information services, which correspond to ISIC Rev. 4
numbers 58-63. Second, it adds a series of business services that have become substantially
digitalized in recent years in order to capture the so-called digital-enabled or digitally delivered
services trade (see also UNCTAD, 2019; López González and Jouanjean, 2017; and Borga and Koncz-




11
  To main reasons stand out in preferring the OECD TiVA database over other databases such as the ITPD-E
database. One, in the econometric analysis the OECD trade data is used for reasons set out in Section 4. Even
though the ITPD-E database provides data for more developing countries, it is preferable to use consistent
trade data throughout all sections of the paper. Second, the OECD TiVA trade data distinguishes between more
sub-categories of digital sectors, whereas the ITPD-E database lumps up digital services into one aggregate
sector, namely ISIC Rev. 4 code “J”, which covers information services, telecommunications, and IT, computer
and other information services combined (i.e. ISIC Rev. 4 codes 58-60, 61, 62, 63 respectively). However also
data from the ITPD-E database is used for a robustness check and found largely similar results.

                                                     11
Bruner, 2011). These business services correspond to ISIC Rev. 4 numbers 45-56 as well as 64-66, 68-
75 and 77-82. 12 Together, this grouping is referred as Digital+, as shown in Annex Table A2.

Of all bilateral trade relations that exist in the TiVA database, the analysis captures around 63
separate exporters and importers. Admittedly, by selecting TiVA over other sources of trade such as
the ITPD-E, it omits a large group of developing countries. However, compared to the ITPD-E
database, TiVA records more consistent bilateral trade data for the smaller group of developing
countries covered. Consequently, this results in a higher number of total observations. Moreover,
the share of digital services trade covered by countries sharing the same data model only increases
by a small share when using the ITPD-E database, as can be seen when comparing Figure 1 with
Figure A1 in the Annex.



3.3.1 Data models and digital services trade

Figure 3 shows that a share of 53 percent of digital services trade takes place among country-pairs
sharing a similar data model when considering the component of cross-border flows of data. This
share is slightly lower when considering the component of domestic processing of data, namely 47
percent. This difference is due to the fact that, as explained, countries can be categorized into two
different models across the twin components. 13 The rest of the digital services trade takes place
between countries following different data models.

Within the portion of digital services trade covered by country-pairs that share the same data model,
the vast majority of trade happens between countries that follow the conditional model. This share
is around 79 percent for the component of cross-border data transfers, which increases up to 92
percent for countries following the conditional model for domestic data processing, as shown in
Figure 2. A smaller fraction of trade within that portion takes place between countries sharing the
open model of cross-border transfers and processing of data, with a share of respectively around 20
percent and 4 percent. Only a minority of trade happens between country-pairs sharing the limited
model. The share is about 1.5 percent considering the component of cross-border data transfers and
4.5 percent considering the component of domestic data processing.




12
   Typically, digital trade also covers trade in digital goods such as computer, electronic and optical products
(ISIC Rev. 4 code 26), which has been left out from this study because of its focus on digital services trade.
13
   In what follows, the categorization of countries is based on the component of cross-border data transfers,
given that this component more directly connected to trade.

                                                        12
Figure 3: Share of digital services trade of country-pairs sharing the same data models (2015)



                             Cross-border data transfers rules




                                                                 47.0%
                                 53.0%




                         Trade between country-pairs sharing the same data model
                         Trade between country-pairs not sharing the same data model




                            Domestic processing of data rules




                                 46.8%
                                                                53.2%




                         Trade between country-pairs sharing the same data model
                         Trade between country-pairs not sharing the same data model




Source: Authors’ calculations using TiVA trade data. Note: Digital services trade covers ISIC Rev. 4 codes
                                                 45-82.




                                                       13
Figure 4: Share of digital services trade of country-pairs sharing the same data model, by data
                                         model by (2015)



                             Cross-border data transfers rules


                                                1.5%
                                                            19.9%




                                       78.6%




                                Conditional             Open               Limited




                            Domestic processing of data rules


                                                  3.8%
                                               4.5%




                                                 91.7%



                                Conditional             Open               Limited




Source: Authors’ calculations using TiVA trade data. Note: Digital services trade covers ISIC Rev. 4 codes
                                                 45-82.




                                                       14
Overall, therefore, as a share of total digital services trade (i.e. also including trade covered by
countries with different data models), these numbers tell that, for the component of cross-border
data transfers, around 42 percent is governed by the conditional transfers model, around 11 percent
by the open transfers model, and only less than 1 percent by the limited transfers model.
Considering rules on the domestic processing of data, a share of 42 percent is governed by the
conditional processing model, only about 2 percent of trade is among country pairs applying the
open processing model, and a similar share of 2 percent is based on the limited processing model.

Bilateral digital services trade is on average higher among country-pairs sharing the open data model
for cross-border data transfers, with an average value of 3284 Mln. USD. Countries sharing the
conditional transfers model have an average bilateral digital services trade value which is
significantly lower (1067 Mln. USD), whereas the average trade value for countries following the
limited model is the lowest (911 Mln. USD). The high value for the open model is naturally explained
by the size of the US, which is at the centre of all trade that is covered by this model. When using
trade per capita as a measure, the conditional model emerges as the one with the highest average
value of digital services followed by the open model, and then the limited model. This ranking is
explained by the fact that many countries adhering to the conditional model are smaller
economies. 14

These differences also become visible by plotting the distribution of the services trade data by data
model, as done in Figure A2. It adopts the log of bilateral digital trade. The differences in the average
values between the open model and conditional model becomes clearly visible: countries sharing
the open model for cross-border transfers of data have a higher average of total digital services
trade. But when expressing values on a per capita basis, countries sharing the conditional model
shows the highest trade numbers.



3.3.2 Top 10 country-pairs for digital services trade for each data model

Table 2 shows the Top 10 biggest country-pairs for digital services trade for each data model. The
largest bilateral traders in digital services are the ones that follow the open data model in which the
US is often one partner country. The 10 biggest country-pairs having the open data model in place
cover a share of around 8 percent of global digital services trade. The US and Canada share the
biggest trade relationship, followed by the US and Mexico. On top of countries in North America,
many countries with high digital trade links that share the open model are located in Asia (such as
Taiwan, Thailand and Hong Kong) or involve Australia and New Zealand. The country-pairs sharing
this model without the US as a partner country, but with also relatively high trade values, are
Mexico-Canada, followed by Australia-New Zealand.

The Top 10 country-pairs that share the conditional model represent a share of 5 percent in global
digital services trade. The two countries that trade most digital services with each other are the UK
and Germany, which however only represent around a quarter of digital services trade between the
US and Canada. All other top country-pairs sharing this model are found in the EU, except the pair
Switzerland-Germany. The list of European country-pairs in the Top 10 is fairly concentrated around
Germany and the UK, followed by France. The country-pair with the highest digital services trade not


14
  Note that per capita numbers include intra-EU trade, too. Given that many EU countries are smaller in
economic size, the per capita services trade figures naturally increase compared to the numbers involving the
US and China, which are the main economies implementing the other two data models.

                                                     15
involving an EU country is composed of Japan-Singapore, which is ranked 12, followed by Japan-
Korea, somewhat further below in the ranking.



Table 2: Top 10 country-pairs for digital services trader by data model in 1000 Mln. USD (2015)

    Open Transfers and           Conditional Transfers               Limited Transfers and
                                                                                                              None
     Processing Model            and Processing Model                  Processing Model
 Exporter   Importer   Trade    Exporter   Importer   Trade         Exporter   Importer   Trade    Exporter   Importer   Trade

   USA       CAN       115.49    GBR        DEU       27.60          RUS        CHN       10.70      USA       CHN       89.70

  CAN        USA       61.58     DEU         FRA      27.37           IDN       CHN       4.16       USA        JPN      61.61

   USA       MEX       55.04     GBR         IRL      27.29          CHN        RUS       3.67      GBR        USA       60.20

  MEX        USA       48.58      FRA       DEU       26.29          CHN        VNM       3.65       IND       USA       51.19

   USA       BRA       29.95     GBR         FRA      25.42          RUS         KAZ      3.37       USA       GBR       47.76

   USA       AUS       18.18     DEU        GBR       23.38          KAZ        CHN       2.91       USA       DEU       46.83

   USA       SAU       13.75      FRA       GBR       22.84          CHN         IDN      2.86      CHN        USA       45.53

   BRA       USA       10.72      CHE       DEU       21.54          VNM        CHN       2.16       USA        IRL      43.08

   USA       TWN        9.60     GBR         LUX      20.11          KAZ        RUS       1.68      DEU        USA       39.71

  HKG        USA        9.08      NLD       DEU       19.85          CHN         KAZ      0.49       USA       KOR       36.76

 Total                 371.97   Total                 241.69    Total                      35.65   Total                 522.38

 Share world (%)         7.67   Share world (%)         4.98    Share world (%)             0.74   Share world (%)        10.77
Source: Authors’ calculations using TiVA trade data. Note: Trade is based on exports data. Countries are
         categorized on the basis of the data model regarding the cross-border data transfers.



The 10 largest country-pairs that follow the limited model represent a meagre 1 percent of global
digital services trade. The largest bilateral trade relation is between Russia and China, followed by
Indonesia-China. Note that the amount of services trade between any of the Top 10 country-pairs is
much lower compared to countries sharing the other data models. Not all Top 10 country-pairs
following this data model include China. Russia and Kazakhstan share strong digital services trade
links as shown in Table 2, but also Russia and Vietnam as well as Indonesia and Vietnam have
substantial links in digital services trade, falling just outside the Top 10 list. Other country-pairs
applying the limited model, such the ones involving Brunei or Tunisia, only cover a small part of
digital services trade.

Over 10 percent of global digital services trade is covered by the Top 10 country-pairs that do not
share the same data model. This high share is consistent with the high share of total global digital
services trade covered by country-pairs with different data models (Figure 3). The largest bilateral
trade relationship in digital services in this list is the one between the US and China, followed by US-
Japan. Note that two Asian countries are reported in this Top 10 list of country-pairs with dissimilar
data models, namely India and Korea. Moreover, three EU Member States also appear in this list,
which are the UK, Germany and Ireland. Note that if the EU is counted as one, the largest trade
relationship in this category would be US-EU with 282 Mln. USD, representing alone a world share of
5.8 percent.




                                                               16
3.3.3 Data models, digital services trade, and development variables

Digital trade is strongly connected with a country’s level of development. Figure 5 shows that richer
countries tend to exhibit a greater level of per capita digital services trade. The dashed vertical line
in the figure marks the difference between high-income and middle-income countries. Interestingly,
the three data models are applied by countries across all income groups, except for countries
following the limited model for which Brunei is the only high-income country with this model in
place. 15 The other countries applying a limited model are middle income countries, falling below the
dashed vertical line.

A further interesting insight from this graph is that almost all countries sharing the limited model are
placed below the fitted values line, indicating that they trade less digital services than it would be
expected on the basis of their per capita income levels. This is not always the case for countries
sharing the other models, where in fact countries are placed both above and below the dashed
fitted values line.



                                                  Figure 5: Digital services trade, data models, and level of development (2015)

                                                                    Digital services trade and data models
                                                                                 By level of development
     Per capita exports in 1000 Mln. USD (log)




                                                 100




                                                 10




                                                   1




                                                  .1



                                                       4000          8000         16000           32000          64000         12800
                                                                               GDP per capita PPP USD (log)

                                                                             Open       Conditional    Limited

 Source: Authors’ calculations using TiVA trade data and World Bank WDI. Countries are categorized on
                the basis of the data model regarding the cross-border data transfers.



Digital services trade is also strongly associated with technological capabilities of a country, which in
turn is typically connected with the level of development. Figure 6 shows that countries with a
higher level of per capita digital services trade also exhibit greater levels of technological
development. Here too, the open model and the conditional model are applied by countries placed
across all levels of digital technology capabilities, while the limited model is more common among

15
  The EU countries, which all follow the conditional model and are high-income countries that are omitted
from Figure 4.

                                                                                           17
countries with a lower capacity of digital technology. The dashed vertical line marks the threshold
level of technological capabilities between the high-income and middle-income countries.



                                                 Figure 6: Digital services trade, data models, and technology capability (2015)

                                                                    Digital services trade and data model
                                                                                By technology capability
    Per capita exports in 1000 Mln. USD (log)




                                                100




                                                10




                                                  1




                                                 .1

                                                          3                    4                       5                6
                                                                           Index of digital technology capabilities

                                                                             Open        Conditional       Limited

                      Source: Authors’ calculations using TiVA trade data, World Bank WDI and WEF. Countries are
                         categorized on the basis of the data model regarding the cross-border data transfers.



3.3.4 Data realms and gravity determinants

Gravity forces such as geographical distance, market size and trade policies such as Free Trade
Agreements (FTA) are all likely to play a strong role in predicting digital services trade, as they do
with trade flows generally. Figure 7 confirms this assumption. The three panels of Figure 7 plot on
the horizontal axis the distance between the US, EU (for which Brussels is used as a geographic
reference) and China respectively, and all trading partners, whilst plotting on the vertical axis the
digital services exports of these three entities to each trading partner, divided over their market size.
These three trade entities are considered the main representatives of each data model. Figure 7 also
highlights for each panel when trading partners share the same data model of the US, EU or China.
Moreover, the country dot is marked by an additional coloured circle when it shares an FTA with
each of the three trading powers.




                                                                                            18
                                                                                     Figure 7: Digital services trade, geographic distance, and data models (2015)



                                                             Distance and data model                                                                          Distance and data model                                                                       Distance and data model
                                                            US exports of digital services                                                                   EU exports of digital services                                                             China's exports of digital services
                                                  32                                                                                                 32                                                                                         32


                                                  16                                                                                                 16                                                                                         16
Digital services exports/Partner's GDP (% log)




                                                                                                   Digital services exports/Partner's GDP (% log)




                                                                                                                                                                                              Digital services exports/Partner's GDP (% log)
                                                                                                                                                           CHE
                                                                                                                                                            NOR                 SGP
                                                   8        CAN                                                                                       8      ISL
                                                                                                                                                             MAR                                                                                 8
                                                            MEX
                                                   4                                                                                                  4                                                                                          4
                                                                                                                                                                ISR          ZAF
                                                                                                                                                                               MYS
                                                                                     HKG
                                                   2                               SAUPHL                                                             2                                                                                          2
                                                                         BRA        TWNTHA                                                                                 KOR
                                                                                                                                                                            CRI  CHL                                                                      VNM
                                                                                         AUS                                                                                  PER
                                                                                     NZL                                                                                IND     ARG
                                                   1                                                                                                  1                     JPN
                                                                                                                                                                           COL                                                                   1
                                                                                          KHM
                                                   .5                        TUR                                                                      .5                                                                                         .5
                                                                                                                                                                                                                                                            KAZ        TUN
                                                                                                                                                                                                                                                             IDN
                                                  .25                                                                                                .25                                                                                        .25        BRNRUS

                                                 .125                                                                                               .125                                                                                       .125


                                                  .06                                                                                                .06                                                                                        .06
                                                     1500    4500    7500   10500 13500 1650                                                               1500 4500 7500 10500 13500 16500                                                           1500 4500 7500 10500 13500 16500
                                                                    Distance in km                                                                                  Distance in km                                                                               Distance in km
                                                                    Open       FTA                                                                                Conditional      FTA                                                                           Limited      FTA

                                            Source: Authors’ calculations using TiVA trade data, World Bank WDI and ITPD-E. Countries are categorized on the basis of the data model regarding the cross-
                                                                                                              border data transfers.



                                                                                                                                                                        19
A negative correlation appears in each panel, although with varying degrees. That is, the greater the
distance between either the US, EU and China and their trading partners, the lower the level of
digital services traded between the country-pairs. However, this correlation appears much stronger
for exports of the EU than for the US and China. 16

The first panel shows that the US has significant trade in digital services with countries sharing the
open data model which are geographically close, such as Canada and Mexico, or very distant, such as
Australia and Cambodia. Among US trading partners that share the same data model, US trade
shows high variability, with high levels of digital services being traded with some countries like Hong
Kong, while at the same time much low levels of trade are observable for countries at similar
distance, such as Cambodia. As a result, at first sight, the relationship of US digital services exports
with respect to distance is not always strong.

The second panel shows a different picture in which for the EU distance appears to play a much
stronger role with respect to digital services trade. Many of EU’s trading partners in digital services
that also share the same data model are located relatively nearby, although several countries are
further away such as Chile and Argentina. The EU also shares a higher number of FTAs with trading
partners that have the same data model in place, such as South Africa, Chile, Switzerland and Israel.
Moreover, the EU seems to share more FTAs with partner countries located further way, likely
compensating for the stronger negative relationship between digital services trade and distance it
faces (as shown by the steeper line). Furthermore, the variability of digital services trade between
the EU and its trading partner is generally lower, with Singapore being the exception.

For China’s digital services trade, geographical distance seems to play also a weaker role for its
trading partners. This is illustrated by the relatively flat dashed fitted values line between China’s
digital services exports and distance. Vietnam is one of China’s most important trading partner that
shares the same data model, after considering the country’s market size, and the country is also
relatively close to China. In fact, many of China’s trading partners sharing its data model are mostly
placed relatively close by. 17 China shares an FTA with Vietnam, Indonesia and Brunei.

Market size matters for digital services trade, too. Figure 8 shows that for all three trading entities a
strong and positive relationship exists between trade in digital services and the size of the market.
The three panels of the figure show that the US, EU and China, respectively, trade with countries
that are both small and big in economic size, even though the US shares its open data model with
only one trading partner which is fairly small, namely Cambodia. Both the US and China otherwise
tend to trade relatively more with larger countries, whereas the EU shows somewhat lower levels of
digital services trade with some of its larger trading partner that share the same data model, such as
with Japan.




16
   The distance coefficient with respect to the log digital services trade in GDP based on simple regressions
with robust standard errors for the US is -0.53, for the EU (using Brussels) is -0.62, and for China is -0.60, using
the log of distance. The coefficient results are significant for the EU and China, whereas they are insignificant
for the US. Lower coefficient results indicate greater sensitivity of digital services trade to geographical
distance, after taking into account the market size of the partner country. Generally, services trade is less
sensitive to distance than goods trade.
17
   The other two countries that share the same data model as China are however located further away. These
are Ivory Coast and Kenya, for which trade data is missing.

                                                         20
                                                                         Figure 8: Digital services trade, market size, and data models (2015)



                                                Market size and data model                                                             Market size and data model                                                          Market size and data model
                                                US exports of digital services                                                         EU exports of digital services                                                    China's exports of digital services
                                      2                                                                                      2                                                                                     2



                                    1.75                                                                                   1.75                                                                                  1.75
 Digital services exports (GRC=1)




                                                                                                                                                                              Digital services exports (GRC=1)
                                                                                        Digital services exports (GRC=1)
                                                                         CAN
                                     1.5                                                                                    1.5                                                                                   1.5
                                                                      MEX
                                                                                                                                                                                                                                        VNM    RUS
                                                                        BRA                                                                                                                                                                   IDN
                                                                      AUS
                                    1.25
                                                                    SAU                                                    1.25                                                                                  1.25
                                                                   TWN
                                                                 HKG                                                                                        CHE
                                                                  THA
                                                                 PHL                                                                                           JPN
                                                                     TUR                                                                               NOR KOR
                                                                                                                                                       SGP  IND
                                                                                                                                                                                                                                    KAZ
                                                               NZL                                                                                 ISR
                                                                                                                                                   MYS
                                      1                                                                                      1                 MARZAFARG
                                                                                                                                                                                                                   1
                                                                                                                                                  CHL
                                                                                                                                                 PER
                                                                                                                                                  COL                                                                         TUN
                                                                                                                                       ISL
                                     .75                                                                                    .75              CRI                                                                  .75
                                                KHM
                                                                                                                                                                                                                        BRN
                                      .5                                                                                     .5                                                                                    .5
                                           .9      .95     1      1.05   1.1     1.15                                             .9               1          1.1       1.2                                             .9          1             1.1          1.2
                                                    Size GDP (GRC=1)                                                                         Size GDP (GRC=1)                                                                   Size GDP (GRC=1)
                                                               Open                                                                                Safeguards                                                                           Control

Source: Authors’ calculations using TiVA trade data, World Bank WDI. GRC stands for Greece, a mid-level country in economic size, which is normalized to 1 (GRC=1)
              following Head and Mayer (2014). Countries are categorized on the basis of the data model regarding the cross-border data transfers.



                                                                                                                                                       21
3.3.5 Data models, Internet access, and institutions

Much of digital services trade takes place over the internet. This is especially true for information
services, telecommunications, and computer services, because they rely extensively on internet
technologies that enable their tradability. Having access to an open internet is therefore an
important factor to promote trade in digital services. This importance is substantiated in Figure 9,
which shows a positive relationship between countries’ greater access to the internet and per capita
digital services trade. The access to an open Internet is measured through the Freedom on the Net
indicators of the Freedom House, which cover the extent to which the internet in each country
experiences infrastructural and economic barriers to access, government efforts to block specific
internet technologies, as well as legal, regulatory and ownership control over internet and mobile
phone access providers, and the independence of regulatory bodies.



                                                       Figure 9: Digital services trade, data models, and Internet access (2015)

                                                                       Digital services trade and data model
                                                                                 By obstacles to internet access
     Per capita exports in 1000 Mln. USD (log)




                                                 100




                                                 10




                                                   1




                                                  .1

                                                       5                  10                    15                    20                      25
                                                                               Free from obstacles to internet access

                                                            Open       Coditional      Limited        Free Internet        No Free Internet

Source: Authors’ calculations using TiVA trade data, World Bank WDI and Freedom House. Countries are
         categorized on the basis of the data model regarding the cross-border data transfers.



This proxy indicator of internet access from the Freedom House forms part of a wider assessment of
whether the Internet is qualified as free, partly free and not free. Thus, besides economic access to
the internet, the institute assesses whether the Internet is free on the basis of many other non-
economic criteria, such as content access and free speech, which are then combined. 18 Figure 8
shows that all countries that are classified as having a free internet share either the conditional or


18
  Besides economic access to the internet, the other two categories on which this indicator measures whether
the Internet is free, partially free or completely free are (a) whether there are limits on Internet content, such
as legal regulations, technical filtering or self-censorship; and (b) whether there are violations of user rights,
such as privacy, cyberattacked and repercussions for online speech.

                                                                                                 22
the open model for regulating data. In contrast, there is no country with the limited model that is
assessed as having a free internet. 19

Figure 10 concludes this descriptive section by looking at the countries’ domestic institutional
quality. Given that economic access to the internet is related to a countries’ independence of
regulatory bodies, domestic regulatory institutions in a wider sense be an important factor for trade
in digital services. The proxy for this analysis is the indicator from the World Bank Governance
Indicators which measures the country’s regulatory quality. Figure 10 shows that countries with
greater regulatory quality exhibit higher digital services exports. Countries sharing the conditional
model exhibit on average a higher score than countries following the other models, even after
excluding EU member states.



                                                  Figure 10: Digital services trade, data models, and domestic institutions (2015)

                                                                     Digital Services Trade and data models
                                                                                       By regulatory quality
      Per capita exports in 1000 Mln. USD (log)




                                                  100




                                                  10




                                                    1




                                                   .1
                                                        -1                  0                         1                  2
                                                                                         Regulatory quality

                                                                                Open        Conditional        Limited

      Source: Authors’ calculations using TiVA trade data, World Bank WDI and Governance Indicators.
     Countries are categorized on the basis of the data model regarding the cross-border data transfers.



4.                                                Estimation using the Gravity Model

This section presents the baseline gravity model used to estimate econometrically whether sharing
the same data model is correlated with higher or lower digital services trade. 20 In doing so, the

19
   The midrange of a partly free Internet is taken up by more or less an equal number of countries having a US
or EU model. The Freedom House assesses the openness of the Internet for 65 countries, of which 6 are EU
member states. Note furthermore that the Freedom House covers 11 countries which are not categorized for
their data realm. Of these, 7 countries are qualified as partly free and 4 as not free.
20
   Given that the empirical set-up follows a gravity model, which has been extensively used in previous works,
the discussion omits how the method for estimating parameters econometrically is consistent with the
constraints imposed by standard trade theory. Full details of the gravity model’s solution and characteristics
are provided by Anderson et al. (2018; 2015). Their starting point is the familiar structural gravity model

                                                                                               23
empirical strategy makes use of a binary bilateral variable between the exporting and importing
country indicating whether country-pairs share the same data model (in which case the variable
takes a value equal to one) or not (in which case the variable is zero). Due to its dyadic nature, this
indicator resembles many other conventional gravity variables, such as whether countries share an
FTA or even closer to the interpretation of the analysis, whether countries share the same legal
origins as developed by La Porte et al. (2008). The analysis first estimates whether country-pairs
showing the same data model for any of the three models reveal a digital services trade correlation.
In a second step, each of the three data models is analysed to estimate their individual trade
correlations. In both cases, the two components of the data models, cross-border data transfers and
domestic data processing, are considered.



4.1          Baseline Regressions

Equation (1) measures formally the extent to which sharing the same data model is correlated with
digital services trade. In particular, the analysis regresses bilateral digital services trade between
country o (exporter) and country d (importer) on the dyadic indicator reflecting whether countries
share the same data model, in addition to other control variables. Hence, the empirical baseline
model takes the following form:



                ������������������������������������������������������������ = exp [������������1 GRAV������������������������ + ������������2 MODEL������������������������ + ������������3 C ∗ intl������������������������ + ������������������������ + ������������������������ ] ∗ ������������������������������������                       (1)



In equation (1), MODEL������������������������ is the vector that captures whether country-pairs o and d share any of the
three data models, regardless of the model they follow. The term is a vector, as this variable is
developed along two components, namely again whether country-pairs share the same data model
for rules related to the cross-border transfer of data, denoted by CB; and whether country-pairs
share the same data model for rules on the domestic processing of data, called DR. As previously
noted, a country can adhere to different data models for the two components.

Next, the MODEL������������������������ term is split up into the variables that identify whether o and d share one of the
three data models of open transfers and processing (OP), conditional transfers and processing (CT)
or limited transfers and processing (LT). Each of this term gives rise to three separate data models
vectors given that each contains in similar manner the two components of CB and DR. Formally,
therefore, the second empirical baseline model takes the following form:



 ������������������������������������������������������������ = exp [������������1 GRAV������������������������ + ������������2 OP������������������������ + ������������3 CT������������������������ + ������������4 LT������������������������ + ������������5 C ∗ intl������������������������ + ������������������������ + ������������������������ ] ∗ ������������������������������������   (2)



In both equation (1) and (2), GRAV������������������������ is a vector of observables capturing several other factors of
trade costs in services. These are the standard gravity variables commonly appearing in the gravity
equation, such as distance, contiguity, sharing a common language, whether countries are part of a
previous colonial relationship, or whether countries share a trade agreement with each other. Then,


derived from CES preferences across countries for national varieties differentiated by origin (the Armington
assumption).

                                                                                          24
the terms ������������������������ and ������������������������ refer to the set of fixed effects by exporter and importer, respectively. Finally,
������������������������������������ is the residual term. Sectoral fixed effects are not applied in the model, since the analysis
considers the sum of trade following the different digital services groupings, as outlined in Annex
Table A2. Both equations show that the model is estimated using data for a single year, which
therefore presents a cross-country section. Panel regressions are also performed for robustness
check later on. The study takes the year 2015 given that this year is the latest year available for the
dependent variable.

Note that the model is estimated with PPML with fixed effects as recommended by Santos Silva and
Tenreyro (2006). By doing so, Fally (2015) shows that the estimated fixed effects correspond exactly
to the terms required by the structural model. Furthermore, regressions are estimated with robust
standard error clustered by country-pair.

The dependent variable, ������������������������������������������������������������ , denoting digital services trade, is also bilateral and includes all
directions of trade. That means that, in accordance with the recent literature, it also includes
internal trade, which is equal to the domestic production that is both produced and consumed in a
given country. The reason for doing so is that otherwise the estimated fixed effects would not relate
to the output and expenditure terms set out by the gravity theory of trade. Yet, not all datasets
provide this domestic trade. The best available source is the gross trade data from the OECD TiVA
data. The advantage of this source is that it contains harmonized trade and production data, so self-
trade is simply calculated as production less total world exports. Using the most recent version of
the TiVA dataset, the analysis covers services trade and production data for 64 exporters and
importers for the year 2015, the latest year available. 21

Finally, both equation (1) and (2) also include the term C ∗ intl������������������������ . This vector refers to several
control variables included in the baseline model and as part of the robustness checks below. Most
importantly, this term includes the data model each country follows by itself, regardless of its
trading partner. The reason to control for this trait is that it may not be by coincidence that countries
choose to apply a particular data model. Indeed, this choice may be driven by the extent to which a
country trades digital services with partner countries to begin with. As such, by not including these
controls, this relationship would suffer from reversed causality or would be influenced by the fact
that precisely a partner country shares the same data model.

These control variables need to be interacted with a dummy indicator that reflects whether a
country-pair are dissimilar or not, called “intl”. This aims to cover for trade costs affecting
international flows and not domestic flows (i.e. internal trade). The use of this measure also follows
the recent gravity literature such as the one developed in Yotov (2012). In particular, Yotov et al.
(2016) states that the inclusion of this dummy leads to the theoretically consistent identification of
the effects of bilateral trade policies as shown in Dai et al. (2014). Also, this interaction term can be


21
   See footnote 10 that explains the decision to select TiVA instead of other services trade sources. The choice
is mainly driven by both data availability and consistency between the services trade databases. Compared to
the ITPD-E database, which is extensive in the coverage of developing countries, the following points matter
for this choice. First, the TiVA data separates the various digital services sectors of interest. The ITPD-E dataset
instead takes the various sub-sectors of the digital economy together. Second, many developing countries
included in the ITPD-E database show few observations after aggregating into sector groupings in line with
Annex Table A3. This points out to the fact that the ITPD-E data is not in a “squared” or balanced format,
missing many observations in services, which in TiVA are present (even though they may be estimated). Hence,
even though the limited number of developing countries in TiVA does not match the total number of countries
with an identified data model, this database is still considered a preferred option. Nonetheless, data from the
ITPD-E database is used for a robustness check and find largely similar results.

                                                        25
used to identify the effects of any non-discriminatory policies on the side of exporters and
importers, following Heid et al. (2015), which to some extent are present in this case. 22



4.2      Robustness Checks

Several robustness checks are performed, mainly by including several additional control variables as
part of the C ∗ intl������������������������ term. More specifically, using equation (2), each regression model includes
additional policy variables such as the ones developed by ECIPE’s Digital Trade Restrictiveness Index
(DTRI), the OECD Digital Services Trade Restrictiveness Index (Digital STRI), as well as the WEF
Technology Readiness Indicator. The first two variables are estimated on the importers side (country
d), whereas the latter is estimated on the side of the exporter (country o). Finally, as said above, the
study adopts a panel series and re-estimates the baseline regression equation (1) and (2), including
by using alternative trade data from the ITPD-E.



5.       Results

The results of the baseline regressions following equation (1) are reported in Table 3. Column 1-7
follow the sectoral groupings as presented in Annex Table A2. In order to enhance readability of the
main variable of interests, the results from the GRAV������������������������ and C ∗ intl������������������������ vectors are featured in a
separate table, which can be found in Annex Table A3. 23 Moreover, Table 3 first reports the
coefficient results of CB and DR under MODEL������������������������ when entered separately in order to avoid
potential multicollinearity concerns that may arise by entering them simultaneously, even though
countries do not necessarily follow the same model for the two components. In a second step the
two components are nonetheless entered together.

The results in Table 3 show a positive and negative coefficient result for the MODEL CB variable,
which covers cases in which country-pairs share any model regarding the component of cross-border
data transfers. However, none of the coefficient results are significant. In the second panel, the
results on the MODEL DR for sharing any model regarding the component of domestic processing of
data also show insignificant coefficient results which are either positive or negative in sign, except
for publishing services which is negative and significant. When entered together, the analysis finds
negative and significant correlation for the MODEL DR variable with digital trade in services in two
sectors, namely in Digital+ and publishing services. Other sectors show insignificant coefficients.
Given these varying outcomes, it may be the case that these two variables are too aggregate.



22
   Given that exports is the main trade variable, the study controls the exporter’s data model interacted with
the intl������������������������ dummy. Moreover, given that the dummy signifying each country data model is a square set of
dummy variables across all countries, the analysis needs to exclude one of the three data models, which is
used as a benchmark. The analysis omits the limited model and so coefficient results need to be seen against
this model.
23
   Note, however, that the coefficient results in Annex Table A4 are performed without the MODEL������������������������ vector.
The reason for doing so is that the coefficient results on the variables of interests in MODEL������������������������ need to be set
against the results of the country-specific control variables from vector C ∗ intl������������������������ . Given that the variables in
both vectors of MODEL������������������������ and C ∗ intl������������������������ are interaction variables, one needs to regress the latter without the
model variables to determine the starting point of a country’s export that follows a certain data model. The
coefficient results for the variables for both the gravity and control vectors for all other tables can be obtained
from the authors upon request. These results are more reported for each table separately but referred to the
Annex Table A4 given that only minor changes appear on each of the coefficient results.

                                                           26
                          Table 3: Baseline results following equation (1)

                          (1)            (2)           (3)             (4)            (5)           (6)
                        Digital+       Digital      Publishing      Telecom        IT & Info      Business

 MODEL CB                0.021          0.097          -0.169         0.101          0.065          -0.146
                        (0.816)        (0.524)         (0.349)        (0.335)        (0.737)        (0.352)


 Obs                     4096           4096           4096           4096           4096           4096
 P-R2                    0.983          0.962          0.958          0.961          0.928          0.968



 MODEL DR               -0.131          0.038        -0.418**         0.165          0.264          -0.171
                        (0.172)        (0.796)         (0.019)        (0.209)        (0.158)        (0.281)


 Obs                     4096           4096           4096           4096           4096           4096
 P-R2                    0.983          0.962          0.959          0.961          0.927          0.967



 MODEL CB                0.129          0.165          0.125          0.072          0.069          0.002
                        (0.145)        (0.296)         (0.349)        (0.483)        (0.729)        (0.988)
 MODEL DR              -0.223**         -0.046       -0.524***        0.097          0.238          -0.225
                        (0.031)        (0.788)         (0.005)        (0.470)        (0.242)        (0.193)


 Obs                     4096           4096           4096           4096           4096           4096
 P-R2                    0.983          0.963          0.959          0.961          0.930          0.968

 Control GRAV             Yes            Yes            Yes            Yes            Yes            Yes
 Control C                Yes            Yes            Yes            Yes            Yes            Yes
 FE exp + imp             Yes            Yes            Yes            Yes            Yes            Yes
Note: * p<0.10; ** p<0.05; *** p<0.01. The dependent variable is bilateral digital services exports (DSX) using
the underlying gross trade data from the TiVA database. Sector groupings in each column can be found in
Annex Table A2. Robust standard errors are clustered at the country-pair level. Fixed effects for exporter and
importer are applied. Coefficient results for the control vectors of GRAV and C can be found in Annex Table A4.



Table 4 shows the results when considering each of the three data models separately. In this case as
well, the two components of CB and DR for each model are reported separately first, and then the
two components are entered together. A first result in column 1 is that the conditional model is the
only model for which a positive and significant coefficient result for Digital+ is found, when the CB
component is entered separately; whereas the limited model comes out negative and significant.
The results are similar when moving from column 1 till 4, albeit not always significant for the
conditional model. Looking at the second panel, a strikingly consistent results is that the open model
reports negative and significant results for most sector classifications when the DR component is



                                                      27
entered alone. The conditional model comes out again positive, whereas the limited model once
more obtains a negative coefficient result.

                          Table 4: Baseline results following equation (2)

                          (1)             (2)           (3)             (4)             (5)           (6)
                        Digital+        Digital      Publishing      Telecom         IT & Info      Business

 MODEL CB OP             -0.372         -0.488         -0.599          -0.276         0.073          -0.386
                         (0.172)        (0.319)        (0.223)         (0.323)        (0.875)        (0.236)
 MODEL CB CT             0.455*          0.670          0.349         0.482**         0.077           0.073
                         (0.087)        (0.124)        (0.452)         (0.037)        (0.840)        (0.751)
 MODEL CB LT           -0.692**        -0.942*       -1.908***         -0.643         -0.653         -0.198
                         (0.014)        (0.053)        (0.004)         (0.135)        (0.252)        (0.705)
 Obs                     4096            4096           4096           4096           4096            4096
 P-R2                    0.983           0.962          0.958          0.961          0.928           0.968

 MODEL DR OP           -0.578**       -1.232***      -1.536***         0.041         -1.062**        -0.559
                         (0.046)        (0.004)        (0.002)         (0.899)        (0.026)        (0.195)
 MODEL DR CT             0.246         1.019**          0.166         0.374*        1.237***          0.023
                         (0.297)        (0.012)        (0.662)         (0.052)        (0.002)        (0.939)
 MODEL DR LT            -0.660*        -1.206**        -0.740          -0.326        -1.157**        -0.078
                         (0.075)        (0.032)        (0.218)         (0.488)        (0.016)        (0.883)
 Obs                     4096            4096           4096           4096           4096            4096
 P-R2                    0.983           0.962          0.959          0.961          0.928           0.967

 MODEL CB OP             -0.118         0.927*          0.216          -0.302       1.778***          0.004
                         (0.652)        (0.065)        (0.644)         (0.440)        (0.000)        (0.992)
 MODEL CB CT            0.485**         -0.023          0.465          0.448         -0.684**         0.128
                         (0.040)        (0.956)        (0.276)         (0.147)        (0.043)        (0.648)
 MODEL CB LT             -0.493         -0.277       -1.752***         -0.756         0.049          -0.261
                         (0.186)        (0.638)        (0.006)         (0.221)        (0.935)        (0.683)


 MODEL DR OP           -0.639**       -2.007***      -1.831***         0.148        -2.144***        -0.659
                         (0.035)        (0.000)        (0.000)         (0.723)        (0.000)        (0.202)
 MODEL DR CT             -0.022       1.078***         -0.086          0.083        1.413***         -0.079
                         (0.931)        (0.010)        (0.841)         (0.775)        (0.000)        (0.804)
 MODEL DR LT             -0.325        -1.144*         -0.242          0.119        -1.196***         0.012
                         (0.468)        (0.065)        (0.691)         (0.842)        (0.004)        (0.984)
 Obs                     4096            4096           4096           4096           4096            4096
 P-R2                    0.983           0.964          0.959          0.961          0.931           0.968
 Control GRAV             Yes             Yes            Yes            Yes            Yes             Yes
 Control C                Yes             Yes            Yes            Yes            Yes             Yes
 FE exp + imp             Yes             Yes            Yes            Yes            Yes             Yes
Note: * p<0.10; ** p<0.05; *** p<0.01. The dependent variable is bilateral digital services exports (DSX) using
the underlying gross trade data from the TiVA database. Sector groupings in each column can be found in Annex
Table A2. Robust standard errors are clustered at the country-pair level. Fixed effects for exporter and importer


                                                       28
are applied. CB refers to the cross-border transfer of data, whereas DR refers to the domestic processing of data.
Coefficient results for the control vectors of GRAV and C can be found in Annex Table A4.

When both components are entered together, results are corroborated. That is, the conditional
model obtains a positive and significant result on both CB and DR, whereas the limited model
acquires a negative coefficient results for both components. In addition, the open model also
obtains a negative and significant coefficient results for the DR component in most digital services
sectors. However, additional significant results are now obtained, too. First, in column 2 (Digital+)
and column 4 (IT & Info), the open model now also obtains a positive and significant result for CB. In
contrast, the conditional model now receives a negative coefficient results for the CB element in the
IT & Information service sector only (column 4).

As such, one preliminary conclusion from Table 4 is that trading partners sharing the open model for
cross-border data transfers exhibit greater levels of digital services trade compared to country-pairs
that have not the same data model in place. This result is particularly strong for IT and information
services. In addition, trading partners sharing a conditional model also appear to show greater levels
of digital services trade, but this conclusion is sharply reversed for IT and information services. In this
sector, country-pairs sharing the conditional model trade less services with each other. Further,
trading partners sharing the limited model seem to have lower levels of digital services.

A second conclusion from Table 4 is that country-pairs sharing the open model for domestic data
processing exhibit lower levels of digital services trade compared to country-pairs where data
models are not the same. This result is particularly strong for the publishing sector and IT and
information services. In contrast, trading partners sharing the conditional model show greater levels
of digital services trade compared to country-pairs with dissimilar data models. Regarding the
limited model, country-pairs sharing this model seems to be again associated with lower trade in
digital services than countries sharing different models.



5.1      Adding Control Variables

A number of robustness checks are also conducted by adding several control variables, providing a
panel dimension, and finally using the ITPD-E as an alternative source of trade data. For each
subsequent table, results are reported when entering the two categories of CB and DR together.

Starting with the first robustness check, Table 5 shows the results when adding the data
restrictiveness index as developed in Ferracane and van der Marel (2018) based on the ECIPE’s DTRI.
This index measures level of data policy restrictiveness with respect to the cross-border transfers of
data and the domestic processing of data of the partner country, namely the importer. 24 The table
shows that results remain largely unchanged. In all instances, variables stay significant, indicating
that sharing the open model on cross-border data transfers tends to be positively associated with
digital services trade, while sharing the open model for domestic processing of data tends to be
negatively associated. This pattern reverses for country-pairs sharing the conditional model. The




24
  Note that the interpretation for both components CB and DR of the Data Restrictiveness Index in Ferracane
and van der Marel (2018) is different than the one developed in this paper. The main differences are that the
index more generally aims to measures the extent to which data transfers and data processing create
restrictions on trade, while this paper simply categorizes the countries under different data models to estimate
whether sharing such models has any impact on digital services trade.

                                                       29
limited model for data transfers and processing shows a negative significant coefficient in many
cases, indicating a negative association with digital services trade.

  Table 5: Robustness check baseline equation (2) using Data Restrictiveness Index as control

                          (1)             (2)            (3)             (4)            (5)            (6)
                        Digital+        Digital       Publishing      Telecom        IT & Info       Business

 MODEL CB OP             -0.257         0.908*          0.092          -0.342        1.731***         -0.257
                         (0.345)        (0.064)         (0.833)        (0.369)         (0.000)        (0.471)
 MODEL CB CT             0.399*         -0.121          0.451           0.449        -0.775***         0.060
                         (0.089)        (0.765)         (0.243)        (0.113)         (0.010)        (0.811)
 MODEL CB LT             -0.444         -0.213        -1.779***       -0.997**         -0.157         -0.694
                         (0.147)        (0.647)         (0.000)        (0.040)         (0.664)        (0.207)

 MODEL DR OP             -0.124       -1.602***       -0.950**          0.523        -1.627***         0.374
                         (0.702)        (0.001)         (0.020)        (0.246)         (0.000)        (0.361)
 MODEL DR CT             -0.173        1.029**          -0.269         -0.111        1.397***         -0.260
                         (0.513)        (0.014)         (0.430)        (0.674)         (0.000)        (0.347)
 MODEL DR LT             -0.218       -1.213***         -0.021          0.350        -1.380***         0.283
                         (0.520)        (0.009)         (0.954)        (0.392)         (0.000)        (0.479)

 DTRI CB               -1.969***         0.342          2.962*         -1.738*         0.406          -1.083
                         (0.006)        (0.675)         (0.088)        (0.064)         (0.679)        (0.319)
 DTRI DR                 1.003*         -0.679          1.829           0.352        -2.031**       -2.320***
                         (0.090)        (0.318)         (0.116)        (0.656)         (0.016)        (0.009)
 WEF NRI               1.114***        1.355***       1.897***        1.212***       1.186***       1.536***
                         (0.000)        (0.000)         (0.000)        (0.000)         (0.000)        (0.000)

 Control GRAV              Yes            Yes             Yes            Yes            Yes             Yes
 Control C                 Yes            Yes             Yes            Yes            Yes             Yes
 FE exp + imp              Yes            Yes             Yes            Yes            Yes             Yes

 Obs                     3717            3717           3717            3717           3717            3717
 P-R2                    0.986           0.967          0.962           0.963          0.934           0.973
Note: * p<0.10; ** p<0.05; *** p<0.01. The dependent variable is bilateral digital services exports (DSX) using
the underlying gross trade data from the TiVA database. Sector groupings in each column can be found in Annex
Table A2. Robust standard errors are clustered at the country-pair level. Fixed effects for exporter and importer
are applied. CB refers to the cross-border transfer of data, whereas DR refers to the domestic data processing.
Both ECIPE CB and ECIPE DR variables are taken for the importer’s side and are interacted with intl as part of the
C ∗ intl������������������������ term. Coefficient results for the control vectors of GRAV and C can be found in Annex Table A4.



Regarding the two control variables, they show an expected outcome, which however is not always
significant and at times positive. The coefficient for the DTRI CB is negative and significant only for
the Digital+ grouping and only weakly significant for Telecom. On the other hand, the coefficient for
DTRI DR is negative and significant for IT and information services, but positive for Digital+. In


                                                       30
Ferracane and van der Marel (2018) the DR variable remained insignificant. 25. Table 5 also adds a
third control variable which is the World Economic Forum’s Network Readiness Indicator (NRI). This
variable measures a country’s digital preparedness by looking at the propensity for countries to
exploit the opportunities offered by information and communications technologies (ICT). It
measures the exporting countries enabling environment for digital trade. As expected, the WEF
variable comes out as positively significant in all columns.



        Table 6: Robustness check baseline equation (2) using OECD Digital STRI as control

                          (1)             (2)           (3)             (4)             (5)           (6)
                        Digital+        Digital      Publishing      Telecom         IT & Info      Business

 MODEL CB OP             -0.038       1.173***          0.127          -0.034       2.048***          0.139
                         (0.885)        (0.005)        (0.793)         (0.902)        (0.000)        (0.617)
 MODEL CB CT             0.296          -0.339          0.401          0.079        -0.955***        -0.046
                         (0.239)        (0.354)        (0.334)         (0.703)        (0.001)        (0.854)
 MODEL CB LT             -0.236          0.086       -1.792***         -0.166         -0.116         -0.401
                         (0.445)        (0.838)        (0.002)         (0.602)        (0.771)        (0.529)


 MODEL DR OP             -0.404       -1.667***       -1.092**         0.152        -1.702***        -0.145
                         (0.188)        (0.000)        (0.010)         (0.642)        (0.000)        (0.717)
 MODEL DR CT             -0.131       1.078***         -0.258          -0.024       1.482***         -0.260
                         (0.624)        (0.002)        (0.505)         (0.911)        (0.000)        (0.359)
 MODEL DR LT             -0.344       -1.422***        -0.039          -0.114       -1.434***         0.147
                         (0.306)        (0.001)        (0.920)         (0.734)        (0.000)        (0.740)


 OECD DSTRI            -2.259**         2.465*         -0.106        3.562***         3.475*          1.783
                         (0.036)        (0.070)        (0.962)         (0.009)        (0.062)        (0.356)
 WEF NRI               1.045***       1.607***        1.819***       1.203***       1.591***        1.763***
                         (0.000)        (0.000)        (0.000)         (0.000)        (0.000)        (0.000)


 Control GRAV             Yes             Yes            Yes            Yes             Yes            Yes
 Control C                Yes             Yes            Yes            Yes             Yes            Yes
 FE exp + imp             Yes             Yes            Yes            Yes             Yes            Yes

 Obs                     2898            2898           2898           2898           2898            2898
 P-R2                    0.988           0.969          0.963          0.967          0.937           0.976
Note: * p<0.10; ** p<0.05; *** p<0.01. The dependent variable is bilateral digital services exports (DSX) using
the underlying gross trade data from the TiVA database. Sector groupings in each column can be found in Annex
Table A2. Robust standard errors are clustered at the country-pair level. Fixed effects for exporter and importer
are applied. CB refers to the cross-border transfers of data, whereas DR refers to the domestic data processing.
Digital STRI denotes the OECD’s Digital Services Trade Restrictiveness Index for which is the grouping of
Infrastructure and Connectivity is used. The OECD Digital STRI variable is taken for the importer’s side and is



25
  Note however that in Ferracane and van der Marel (2018) the authors use a different identification strategy
that is not based on the gravity model and uses imports as opposed to exports, as this paper does.

                                                       31
interacted with intl as part of the C ∗ intl������������������������ term. Coefficient results for the control vectors of GRAV and C can
be found in Annex Table A4.



A similar conclusion is reached in Table 6 when adding the OECD Digital STRI as a control variable
instead of the DTRI. This indicator considers the sub-index that includes restrictions related to
Infrastructure and connectivity. This area of the Digital STRI covers restrictions on cross-border data
flows, as presented in Ferencz (2019), amongst various others. Note that this index does not cover
any measures related to domestic data processing. In this case too, the results of the variables of
interest remain unchanged. One notable change however is that the positive significance of the
coefficient of the open model for the cross-border flows of data in column 2 is reinforced, as it is
also the case of the negative significance of the limited model regarding the domestic processing of
data, also in column 2. The outcome on the OECD Digital STRI variable has varying coefficient signs,
which is probably due to the fact that it measures exports (see footnote 24).



5.2             Performing Panel Series

Thus far this paper has dealt with a cross-section analysis. Even though informative, a one-year
assessment doesn’t allow for any inferences over time, nor does it say anything about a causal
relationship between the data models that countries opt for and trade in digital services. For
instance, countries change their regulatory regime for data over time, which likely has an influence
on trade patterns between them. Among the 116 countries analysed, a substantial number has
changed their regulatory framework across the two components of cross-border data transfers and
domestic data processing. Given that the default option is the open model, Table A4 shows the list of
switching countries that since 2000 have changed their governing framework to either the
conditional model or the limited model.

Although it’s hard to resolve any endogeneity concern that may arise due to the fact that countries
with stronger bilateral trade ties may therefore choose a certain data model, a panel data series
would be a first step in solving a potential bias due to reverse causality. In doing so, equation (3)
replicates the baseline equation from the previous section to which now a time dimension is added:



������������������������������������������������������������������������ = exp [������������1 GRAV������������������������ + ������������2 OP ������������������������������������ + ������������3 CT������������������������������������ + ������������4 LT������������������������������������ + ������������5 C ∗ intl������������������������������������ + ������������������������������������ + ������������������������������������ ] ∗ ������������������������������������������������ (3)



In equation (3), all variables stay the same for ������������������������������������������������������������������������ and the two vectors of GRAV������������������������������������ and
C ∗ intl������������������������������������ but now vary over time, as all the dummy variables as part of the vectors denoting the
three models (i.e. OP ������������������������������������ , CT������������������������������������ and LT������������������������������������ ). Note that the equation applies exporter-year and
importer year fixed effects, denoted by ������������������������������������ and ������������������������������������ . Finally, ������������������������������������������������ is the residual term. Dyadic fixed
effects are not applied in the panel setting as that appears to be too demanding for the available
dataset. As previously said, note that not all countries explicitly state when their regulations are
implemented, and if a country does not explicitly allow for a framework at all, the default option of
the open data model has been assigned to the country. The time period for regressions is 2005-2015
given that TiVA does not provide any trade data before nor after this time span.

Before turning to the results, some basic regressions are first performed without the three data
models due to reasons for measuring the trade impact by their proper coefficient sizes, as explained

                                                                                                     32
before. The results for GRAV������������������������������������ and C ∗ intl������������������������������������ are reported in Annex Table A6. The panel results
following equation (3) are reported in Table 7. In there it also includes two sets of control variables:
ECIPE’s data restrictiveness index, which again is split up between the CB and DR component; as well
as the WEF’s Network Readiness Index. Both variables vary over time.

The table shows that the coefficient results are largely consistent with the ones found in Table
5 for the cross-section analysis. Yet, the significance for some coefficient outcomes is weaker,
such under the conditional model for the CB component in column 5 (although still negative)
and for the DR component in column 2, now coming out as insignificant. That said, the
conditional model for the Digital+ sector for the CB component (column 1) is much stronger,
as well as the negative coefficient outcome for the limited model which now is significant at
the 5 percent level.



    Table 7: Panel results following equation (3) using Data Restrictiveness Index as control

                            (1)             (2)           (3)              (4)            (5)           (6)
                          Digital+        Digital      Publishing       Telecom        IT & Info      Business

 MODEL CB OP               -0.307          0.524          -0.064         -0.223        1.369***         0.117
                           (0.122)        (0.234)        (0.857)         (0.510)        (0.001)        (0.752)
 MODEL CB CT             0.765***          0.065          0.470         0.633**         -0.550*         0.395
                           (0.000)        (0.871)        (0.162)         (0.038)        (0.097)        (0.152)
 MODEL CB LT              -0.695**        -0.495       -2.360***         -0.650         -0.060          -0.703
                           (0.017)        (0.296)        (0.000)         (0.147)        (0.899)        (0.273)

 MODEL DR OP               -0.064       -0.996***       -0.665**         0.165        -1.194***         -0.310
                           (0.738)        (0.001)        (0.050)         (0.581)        (0.000)        (0.347)
 MODEL DR CT               -0.194          0.713          -0.276         -0.220        1.174***         -0.062
                           (0.344)        (0.124)        (0.384)         (0.436)        (0.002)        (0.825)
 MODEL DR LT               0.027          -0.861*         0.012          0.728*       -1.099***         0.502
                           (0.925)        (0.083)        (0.979)         (0.080)        (0.002)        (0.193)

 DTRI CB                 -1.596***         0.745          0.576          0.212         1.809**          -1.304
                           (0.001)        (0.248)        (0.499)         (0.741)        (0.037)        (0.147)
 DTRI DR                  1.066**          0.414        3.691***         -0.607         -1.278*         0.039
                           (0.011)        (0.470)        (0.000)         (0.361)        (0.070)        (0.955)
 WEF NRI                 0.868***        1.050***       1.074***       0.749***        0.941***       1.201***
                           (0.000)        (0.000)        (0.000)         (0.000)        (0.000)        (0.000)

 Control GRAV                Yes            Yes              Yes           Yes            Yes            Yes
 Control C                   Yes            Yes              Yes           Yes            Yes            Yes
 FE exp-yr + imp-yr          Yes            Yes              Yes           Yes            Yes            Yes

 Obs                       33748          33748           33748          33748          33748           33748
 P-R2                      0.985          0.967           0.958          0.961          0.938           0.972
Note: * p<0.10; ** p<0.05; *** p<0.01. The dependent variable is bilateral digital services exports (DSX) using
the underlying gross trade data from the TiVA database. Sector groupings in each column can be found in Annex

                                                        33
Table A2. Robust standard errors are clustered at the country-pair level. Fixed effects for exporter-year and
importer-year are applied. CB refers to the cross-border transfer of data, whereas DR refers to the domestic
data processing. Both ECIPE CB and ECIPE DR variables are taken for the importer’s side and are interacted with
intl as part of the C ∗ intl������������������������ term. The WEF NRI variable is taken for the exporter’s side and interacted with intl.
Coefficient results for the control vectors of GRAV and C can be found in Annex Table A6.

The regressions were also replicated by including the OECD Digital STRI instead. However, one major
difficulty with this index is the relatively limited number of years. The OECD Digital STRI start in 2014
and given that the trade data ends in 2015, it would only allow to analyse two years. Nonetheless,
the analysis only discusses the results without reporting them. The results show that all coefficient
outcomes stay in line with the ones reported in Table 6, which therefore doesn’t alter the main
conclusion of the cross-section analysis.



5.3      Using Alternative Data Source

A final robustness check using the trade in services data from the ITPD-E is performed. This data
source has recently been developed (see Borchert et al., 2020) and covers a large set of developing
countries. Given that the sample of data models does not include many developing countries, using
this source is interesting to check whether results are consistent. However, one disadvantage with
this database is that it is not balanced, and many observations are missing for services, particularly
for the sectors of interest. The data reported is administrative data which in the case of TiVA may
not always be the case. It also includes internal trade, which is convenient for the gravity model.
Another downside however is that this database groups all digital services sectors together, as
shown in Annex Table A3. The years covered for the panel analysis is 2005-2016.

The results using the ITPD-E data with respect to the baseline regression following equation (3) are
presented in Table 8, which means that it covers a panel data set and includes the two sets of
control variables of the data restrictiveness index and digital enabling environment. As such, this
table is readily comparable with Table 7, the more so because the sectoral grouping for Digital+ and
business services are carefully cleaned and matched between the two data sources. The results are
reported in Table 8. The results for GRAV������������������������������������ and C ∗ intl������������������������������������ are reported in Annex Table A6.

In Table 8, the total number of observations is lower than using TiVA data which is due to missing
observations. The list of countries in this dataset is also different and not balanced compared to the
TiVA data. The results reported in columns 1-3 are without any control variables included. A first
finding is that none of the variables for the CB component have a significant coefficient outcome.
That stands in contrast to some of the significant findings in the bottom panel of Table 4, to which
these results need to be compared. When looking at the DR component, the results are largely in
line with Table 4, except for the insignificance for the conditional model in column 2, even though
the sign remains positive. The difference in results may be due to the fact that even though the
sector groupings are matched as closely as possible, some sub-sectoral differences remain or cannot
be captured adequately between the two data sources.

Column 4-6 repeat the baseline regressions and adds the two sets of control variables. Note that in
case of adding the OECD DSTRI instead of the ECIPE DTRI, the results would omit a large number of
developing countries. 26 The result that now stand out is the negative coefficient results for the


26
  Interestingly, the panel results when using the OECD DSTRI would be in line with the results found in Table 6,
particularly with respect to the Digital sector (column 2). However, the years covered by the OECD DSTRI index

                                                           34
limited model for the CB component in columns 4 and 6, which is also the case for the DR
component for the digital sector in column 5.



                       Table 8: Panel results following equation (3) using ITPD-E data

                              (1)              (2)           (3)              (4)              (5)            (6)
                            Digital+         Digital       Business         Digital+         Digital        Business

 MODEL CB OP                -0.020           0.325           0.048           -0.083           0.176          -0.167
                            (0.971)         (0.604)         (0.940)          (0.853)         (0.776)         (0.730)
 MODEL CB CT                 0.476           0.009           0.235            0.304           0.026           0.187
                            (0.329)         (0.986)         (0.643)          (0.413)         (0.959)         (0.625)
 MODEL CB LT                -0.973           0.311          -1.026         -1.235***         -0.435        -1.651***
                            (0.169)         (0.686)         (0.165)          (0.009)         (0.498)         (0.000)

 MODEL DR OP               -0.945**         -1.066**        -0.928*          -0.437           -0.277         -0.100
                            (0.043)          (0.020)        (0.075)          (0.225)         (0.577)         (0.798)
 MODEL DR CT                -0.058            0.592          -0.261          -0.177            0.406         -0.567
                            (0.901)          (0.239)        (0.559)          (0.621)         (0.440)         (0.102)
 MODEL DR LT                -0.026         -1.773***         -0.294           0.255          -1.278*          0.158
                            (0.962)          (0.008)        (0.482)          (0.560)         (0.060)         (0.644)

 DTRI CB                                                                    -1.327*           0.578          -0.845
                                                                            (0.067)          (0.501)         (0.333)
 DTRI DR                                                                     0.408            0.828           0.480
                                                                            (0.485)          (0.235)         (0.475)
 WEF NRI                                                                   1.126***         1.203***        1.399***
                                                                            (0.000)          (0.000)         (0.000)

 Control GRAV                 Yes              Yes              Yes            Yes             Yes             Yes
 Control C                    Yes              Yes              Yes            Yes             Yes             Yes
 FE exp-yr + imp-yr           Yes              Yes              Yes            Yes             Yes             Yes

 Obs                         43846           35297           37823           32354           26760            28484
 P-R2                        0.994           0.994           0.990           0.995           0.995            0.992
Note: * p<0.10; ** p<0.05; *** p<0.01. The dependent variable is bilateral digital services exports (DSX) using
the underlying gross trade data from the ITPD-E database. Sector groupings in each column can be found in
Annex Table A3. Robust standard errors are clustered at the country-pair level. Fixed effects for exporter-year
and importer-year are applied. CB refers to the cross-border transfer of data, whereas DR refers to the domestic
data processing. The variables ECIPE CB and ECIPE DR are taken for the importer’s side and are interacted with
intl as part of the C ∗ intl������������������������ term. The WEF NRI variable is taken for the exporter’s side and interacted with intl.
Coefficient results for the control vectors of GRAV and C can be found in Annex Table A7.




would be again reduced to only a couple of years, namely 2014-2016, and therefore these results are omitted.
However, results can be obtained upon request.

                                                           35
6.      Conclusion

While the regulation of personal data diverges widely between countries, it is nonetheless possible
to identify three main models on the basis of their distinctive features: one model based on limited
transfers and processing of data, one model based on conditional transfers and processing, and
finally one model based on open transfers and processing of data. These three data models have
become a reference for many other countries when defining their rules on both the cross-border
transfer and the domestic processing of personal data. In this paper, a gravity model of bilateral
trade is used to assess whether trading partners sharing the same data model show positive or
negative correlations with digital services trade.

Two main sets of conclusions arise from this analysis. Regarding cross-border transfers of data, on
the one hand the study finds that trading partners sharing the open model for cross-border transfers
of data exhibit higher levels of digital services trade compared to country-pairs with different data
models. In large part, this result seems to be driven by the IT and information services sector. On the
other hand, trading partners sharing the conditional model on cross-border data transfers show less
IT and information services trade with each other, but not for all sectors: for digital and business
services more generally the results are positive and significant. Thus, the model based on conditional
transfers and processing shows mixed trade correlations. Country pairs applying the limited model,
instead, show negative trade correlations for several digital services sectors.

A second set of conclusions relates to the domestic processing of data: on the one hand, country-
pairs sharing the open model for domestic processing of data exhibit lower levels of digital services
trade, again benchmarked to country-pairs sharing different data models. This result is particularly
strong for the IT and information services sector. On the other hand, trading partners with the
conditional model for the domestic data processing appear to show greater levels of digital services
trade with each other, notably again in IT and information services. Country pairs following the
limited model for the domestic processing of data exhibit a negative trade correlation for digital
services.

In sum, the results show that trading partners sharing the open data regulatory framework, and
partially also the conditional model for cross-border data flows, as well as trading partner sharing
the conditional model for domestic data processing, exhibit positive trade correlations in digital
services. It therefore seems that those provisions which aim to create “trust” by imposing stricter
rules on domestic processing of personal data are conducive to digital services trade, combined with
an open regime for cross-border transfers of data. The result arising from country-pairs sharing the
conditional model applied on cross-border data transfers is mixed, however: it shows strong
negative and significant ant correlation in IT and information services, but not for other business
services.

One should bear in mind that the results are sheer associations as they do not say anything yet
about causalities. The analysis tried to confront any endogeneity concerns by including a battery of
control variables, and develop a panel series, but admittedly this is not enough. For instance,
because the main players behind each of the models are large trading partners for many countries
and are actively involved in conveying their model of regulating data flows and data processing, it
seems reasonable to evaluate the probability of countries choosing for one model over another on
the basis of their trade relationship countries have with these big players. There may also be any
indirect link with a third trading partner trading with these players. The study could therefore
benefit from further refinements, but these questions are left for future research.



                                                  36
37
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                                                  39
Annex



Table A1: Countries categorized by their data model (2019)


 Open Transfers and               Conditional Transfers and            Limited Transfers and
 Processing Model                 Processing Model                     Processing Model


 Cross-border data transfers

 AFG, ARE, AUS, BGD, BOL,         AGO, ARG, ARM, AUT, BEL,             BRN, CHN, CIV, IDN, KAZ, KEN,
 CAN, CMR, COD, EGY, ETH,         BEN, BFA, BGR, BRA, CHE, CHL,        NGA, RUS, TUN, UZB, VNM
 GHA, GMB, HKG, HND, HTI,         COL, CRI, CYP, CZE, DEU, DNK,
 IRN, IRQ, JOR, KHM, LAO, LBN,    DOM, ESP, EST, FIN, FRA, GAB,
 LBR, LKA, MEX, MMR, MWI,         GBR, GEO, GRC, HRV, HUN,
 NPL, NZL, OMN, PAK, PHL,         IND, IRL, ISL, ISR, ITA, JPN, KGZ,
 PNG, QAT, RWA, SAU, SLE,         KOR, LTU, LUX, LVA, MAR,
 TWN, TZA, USA                    MDA, MDG, MLI, MLT, MUS,
                                  MYS, NIC, NLD, NOR, PER, POL,
                                  PRT, ROU, SEN, SGP, SVK, SVN,
                                  SWE, TGO, THA, TJK, TUR,
                                  UGA, UKR, URY, ZAF
 39 countries; 34 percent         66 countries; 57 percent             11 countries; 9 percent

 Domestic data processing

 AFG, ARE, BOL, BRN, CMR,          AGO, ARG, ARM, AUS, AUT,            BGD, CHN, CRI, EGY, IDN, IND,
 COD, ETH, GMB, HND, HTI,          BEL, BEN, BFA, BGR, BRA, CAN,       KEN, RUS, SGP, TUR, TZA, VNM
 IRN, IRQ, JOR, KGZ, KHM, LAO,     CHE, CHL, CIV, COL, CYP, CZE,
 LBN, LBR, LKA, MMR, MWI,          DEU, DNK, DOM, ESP, EST, FIN,
 NPL, OMN, PAK, PNG, RWA,          FRA, GAB, GBR, GEO, GHA,
 SAU, SLE, USA                     GRC, HKG, HRV, HUN, IRL, ISL,
                                   ISR, ITA, JPN, KAZ, KOR, LTU,
                                   LUX, LVA, MAR, MDA, MDG,
                                   MEX, MLI, MLT, MUS, MYS,
                                   NGA, NIC, NLD, NOR, NZL, PER,
                                   PHL, POL, PRT, QAT, ROU, SEN,
                                   SVK, SVN, SWE, TGO, THA, TJK,
                                   TUN, TWN, UGA, UKR, URY,
                                   UZB, ZAF
 29 countries; 25 percent          75 countries; 65 percent            12 countries; 10 percent
Note: for each country the ISO 3-digit country codes is used.




                                                 40
Table A2: Selected digital sectors and groupings, including ISIC Rev. 4 codes

Sector                                                               ISIC Rev. 4

Digital +
Distribution                                                            45-47
Transport                                                               49-53
Accommodation                                                           55-56
Publishing, audio-visual and broadcasting                               58-60
Telecommunications                                                       61
IT and information                                                      62-63
Other business services                                                 69-82
Finance and insurance                                                   64-66

Digital
Publishing, audio-visual and broadcasting                               58-60
Telecommunications                                                       61
IT and information                                                      62-63

Publishing
Publishing, audio-visual and broadcasting                               58-60

Telecom
Telecommunications                                                        61

IT & info
IT and information                                                      62-63

Business
Other business services                                                 69-82




                                        41
 Table A3: Selected digital sectors and groupings, including ITPD-E codes

Sector                                                             ITPD-E code

Digital +
Trade-related services                                                 169
Transport                                                              156
Heritage and recreational services                                     164
Telecommunications, computer, and information services                 162
Other business services                                                163
Financial services                                                     160
Insurance and pension services                                         159

Digital
Telecommunications, computer, and information services                 162

Business
Other business services                                                163
Figure A1: Share of digital services trade between country-pairs sharing the same data model
                                       using ITPD-E (2015)

                       Cross-border data transfers rules




                                                           41.1%


                           58.9%




                   Trade between country-pairs sharing the same data model
                   Trade between country-pairs not sharing the same data model




                       Domestic processing of data rules




                                                           44.5%

                           55.5%




                   Trade between country-pairs sharing the same data model
                   Trade between country-pairs not sharing the same data model


Source: Authors’ calculations using ITPD-E trade data. Note: Digital services trade covers ISIC
                                     Rev. 4 codes 45-82.
                Figure A2: Distribution of bilateral digital services trade by data models (2015)

       .2
       .15                              Total digital services trade
    Frequency
        .1
       .05
       0




                -5                  0                    5                10                  15
                                           Digital services trade (log)

                           Open              Conditional              Limited            None




                             Per Capita Total digital services trade
       .2
       .15
    Frequency
        .1
       .05
       0




                -10                -5                  0                   5                  10
                                    Per Capita Digital services trade (log)

                           Open              Conditional              Limited            None


Source: Authors’ calculations using TiVA trade data. Countries are categorized on the basis of
        the data model followed for the the cross-border data transfers component.
         Table A4: Baseline regression results for control vectors GRAV and C for cross-section

                              (1)             (2)           (3)              (4)            (5)            (6)
                            Digital+        Digital      Publishing       Telecom        IT & Info       Business

 ln(Distance)             -0.204***       -0.370***      -0.710***        -0.241**      -0.375***       -0.207***
                             (0.000)        (0.000)        (0.000)         (0.019)        (0.000)         (0.004)
 Contiguity                0.954***       0.655***         0.595**       0.833***        0.492***       1.010***
                             (0.000)        (0.001)        (0.034)         (0.001)        (0.003)         (0.000)
 Language                   0.233**        0.348**          0.034        0.271***        0.412***         0.049
                             (0.020)        (0.017)        (0.929)         (0.009)        (0.005)         (0.697)
 Colony                    0.511***         0.378*         0.712*        0.812***          0.212        0.676***
                             (0.005)        (0.085)        (0.083)         (0.000)        (0.477)         (0.001)
 International            -5.832***       -6.430***      -5.060***       -7.500***      -6.169***       -7.105***
                             (0.000)        (0.000)        (0.000)         (0.000)        (0.000)         (0.000)
 PTA                       0.350***        0.289**          -0.084       0.406***         0.307**         0.113
                             (0.000)        (0.032)        (0.779)         (0.000)        (0.035)         (0.411)


 Model CB OP * intl         0.794**       2.222***          -0.210         0.517*        2.644***       1.590***
                             (0.013)        (0.000)        (0.772)         (0.075)        (0.000)         (0.001)
 Model CB CT * intl        1.364***       3.228***          0.406        1.310***        4.064***       2.720***
                             (0.000)        (0.000)        (0.487)         (0.000)        (0.000)         (0.000)
 Model DR OP * intl          0.176          -0.167         1.802**         0.508           -0.490        1.073**
                             (0.609)        (0.677)        (0.037)         (0.185)        (0.249)         (0.031)
 Model DR CT * intl       -0.856***       -1.690***         -0.126         0.367        -2.185***        -0.685**
                             (0.001)        (0.000)        (0.840)         (0.179)        (0.000)         (0.034)


 Control MODEL                No              No             No              No             No              No
 FE exp + imp                 Yes             Yes            Yes             Yes            Yes             Yes

 Obs                         4096            4096           4096           4096            4096           4096
 P-R2                        0.983           0.963          0.959          0.961           0.930          0.968
Note: * p<0.10; ** p<0.05; *** p<0.01. The dependent variable the bilateral digital services exports (DSX) using
the underlying gross trade data from the TiVA database. Sector groupings in each column can be found in Annex
Table A2. Robust standard errors are clustered at the country-pair level. Fixed effects for exporter and importer
are applied. CB refers to the cross-border transfer of data, whereas DR refers to the domestic data processing.
The CB and DR variables are taken for the exporter’s side and are interacted with intl as part of the C ∗ intl������������������������
term. The limited data model is omitted. Note that regressions are performed without controlling for the three
data models as explained in the text.
       Table A5: Countries switching data models (2000-2019)

   Cross-border transfers (CB)           Data processing (DR)

Open →           Open →           Open →            Open →
Conditional      Limited          Conditional       Limited

AGO (2011)       CIV (2013)       AGO (2011)        BGD (2001)
ARM (2015)       IDN (2012)       ARM (2015)        EGY (2003)
BEN (2009)       IRN (2016)       AUS (2001)        IND (2011)
BFA (2004)       KAZ (2013)       BEN (2009)        IDN (2011)
COL (2012)       KEN (2019)       BRA (2018)        KEN (2012)
DOM (2013)       NGA(2013)        BFA (2004)        RUS (2014)
GAB (2011)       RUS (2014)       COL (2012)        SGP (2012)
GEO (2011)       TUN (2004)       CIV (2013)        TZA (2015)
IND (2011)       UZB (2019)       DOM (2013)        TUR (2016)
ISR (2001)       VNM (2015)       GAB (2011)        VNM (2015)
KOR (2011)       BRN (2013)       GEO (2011)        CRI (2013)
KGZ (2008)                        GHA (2012)
MDG (2014)                        ISR (2001)
MYS (2010)                        KAZ (2013)
MLI (2013)                        KOR (2011)
MDA (2011)                        MGD (2014)
MAR (2008)                        MYS (2010)
MUS (2004)                        MLI (2013)
NIC (2012)                        MUS (2004)
PER (2013)                        MEX (2011)
SEN (2008)                        MDA (2011)
SGP (2012)                        MAR (2009)
ZAF (2013)                        NIC (2012)
TJK (2018)                        NGA (2019)
THA (2019)                        PER (2011)
TGO (2019)                        PHL (2012)
TUR (2016)                        QAT (2016)
UGA (2019)                        SEN (2008)
UKR (2010)                        ZAF (2013)
URY (2008)                        TJK (2018)
CRI (2011)                        THA (2019)
                                  TGO (2019)
                                  UGA (2019)
                                  UKR (2010)
                                  URY (2008)
                                  UZB (2019)
                                  JPN (2003)
                                  TWN (2010)
        Table A6: Baseline regression results for control vectors GRAV and C for panel analysis

                             (1)             (2)           (3)             (4)             (5)           (6)
                           Digital+        Digital      Publishing      Telecom         IT & Info      Business

 ln(Distance)             -0.244***      -0.457***      -0.896***       -0.356***      -0.427***      -0.218***
                            (0.000)        (0.000)        (0.000)         (0.000)        (0.000)        (0.001)
 Contiguity               0.830***        0.548***         0.359        0.606***        0.476***      0.727***
                            (0.000)        (0.004)        (0.156)         (0.000)        (0.010)        (0.000)
 Language                 0.315***        0.448***         0.292        0.386***        0.376***         0.149
                            (0.001)        (0.004)        (0.370)         (0.000)        (0.007)        (0.231)
 Colony                   0.474***          0.310          0.564        0.745***          0.247       0.648***
                            (0.007)        (0.181)        (0.171)         (0.000)        (0.261)        (0.001)
 International            -5.417***      -6.068***      -3.740***       -7.722***      -6.382***      -6.916***
                            (0.000)        (0.000)        (0.000)         (0.000)        (0.000)        (0.000)
 PTA                      0.293***          0.195         -0.265        0.358***         0.268*          0.039
                            (0.005)        (0.233)        (0.360)         (0.000)        (0.065)        (0.793)

 Model CB OP * intl       0.975***        2.341***        -0.838        0.827***        3.848***       2.074***
                            (0.006)        (0.000)        (0.245)        (0.002)         (0.000)        (0.000)
 Model CB CT * intl       1.083***        3.089***        -0.356        1.959***        4.774***       2.639***
                            (0.000)        (0.000)        (0.499)        (0.000)         (0.000)        (0.000)
 Model DR OP * intl        -0.701**      -1.025***         0.957          0.419        -1.927***        -0.081
                            (0.012)        (0.008)        (0.165)        (0.150)         (0.000)        (0.849)
 Model DR CT * intl       -0.822***      -1.630***         0.296         0.453*        -2.774***       -0.743**
                            (0.000)        (0.000)        (0.547)        (0.087)         (0.000)        (0.013)

 Control MODEL                No             No             No             No              No             No
 FE exp-yr + imp-yr           Yes            Yes            Yes            Yes             Yes            Yes

 Obs                        45056          45056           45056          45056          45056          45056
 P-R2                       0.982          0.965           0.955          0.959          0.935          0.968
Note: * p<0.10; ** p<0.05; *** p<0.01. The dependent variable is bilateral digital services exports (DSX) using
the underlying gross trade data from the TiVA database. Sector groupings in each column can be found in Annex
Table A2. Robust standard errors are clustered at the country-pair level. Fixed effects for exporter-year and
importer-year are applied. CB refers to the cross-border transfer of data, whereas DR refers to the domestic
data processing. Fixed effects for exporter and importer are applied. CB refers to the cross-border transfer of
data, whereas DR refers to the domestic data processing. The CB and DR variables are taken for the exporter’s
side and are interacted with intl as part of the C ∗ intl������������������������ term. The limited data model is omitted. Note that
regressions are performed without controlling for the three data models as explained in the text.
Table A7: Baseline regression results for control vectors GRAV and C using ITPD-E data

                                                (1)              (2)             (3)
                                              Digital+         Digital         Business

              ln(Distance)                   -0.345***       -0.572***        -0.286***
                                               (0.000)          (0.000)         (0.002)
              Contiguity                     0.650***           0.294          0.551***
                                               (0.000)          (0.108)         (0.005)
              Language                       0.447***          0.286**         0.308**
                                               (0.000)          (0.042)         (0.040)
              Colony                           0.250          0.846***           0.337
                                               (0.361)          (0.006)         (0.359)
              International                 -12.037*** -10.392*** -10.455***
                                               (0.000)          (0.000)         (0.000)
              PTA                              0.236          0.499***           0.257
                                               (0.144)          (0.004)         (0.174)


              Model CB OP * intl             4.473***         4.943***         3.526***
                                               (0.000)          (0.000)         (0.000)
              Model CB CT * intl             5.020***         5.857***         4.348***
                                               (0.000)          (0.000)         (0.000)
              Model DR OP * intl             2.376***           0.713          2.531***
                                               (0.001)          (0.335)         (0.000)
              Model DR CT * intl             2.029***           -0.529         1.233***
                                               (0.001)          (0.485)         (0.004)


              Control MODEL                      No              No               No
              FE exp-yr + imp-yr                 Yes             Yes              Yes

              Obs                              43846            35297           37823
              P-R2                             0.994            0.994           0.990
             Note: * p<0.10; ** p<0.05; *** p<0.01. The dependent variable the
             bilateral digital services exports (DSX) using the underlying gross trade
             data from the ITPD-E database. Sector groupings in each column can be
             found in Annex Table A3. Robust standard errors are clustered at the
             country-pair level. Fixed effects for exporter-year and importer-year are
             applied. CB refers to the cross-border transfer of data, whereas DR refers
             to the domestic data processing. The CB and DR variables are taken for
             the exporter’s side and are interacted with intl as part of the C ∗ intl������������������������
             term. The limited data model is omitted.