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Paper to be presented at the DRUID Academy conference in Rebild, Aalborg, Denmark on January 21-23, 2015 Climbing the Ladder of Technological Development Sergio Petralia Utrecht University URU Research Centre [email protected] Pierre-Alexandre Balland Utrecht University Economic Geography [email protected] andrea Morrison Utrecht university economic geography [email protected] Abstract Climbing the Ladder of Technological Development Sergio Petralia (Utrecht University, The Netherlands) Ph.D Extent: From 1st September 2013 to 31st December 2016 Email: [email protected] ABSTRACT: The study of the role of structural transformation in industrial development can be traced back to the work of Prebisch (1950), Singer (1950), Lewis (1954), and Hirschman (1958). Their main concern related to the adverse effects of the concentration of exports on primary products and the deteriorating terms of trade. Within this literature, a successful strategy for development required diversification from traditional activities, mainly in primary sectors, to modern and complex activities which were more dynamic and offered higher potential for growth. In recent years this discussion has seen a renewed interest for both, scholars and policy makers, and a new consensus seem to have arisen: Economic development requires diversification, not specialization (Rodrik 2003, Bell 2007 and

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Page 1: Climbing the Ladder of Technological Development...will diversify into new innovative activities is heavily constrained by its existing profile of competences, especially at early

Paper to be presented at the DRUID Academy conference in Rebild, Aalborg, Denmark on January

21-23, 2015

Climbing the Ladder of Technological DevelopmentSergio Petralia

Utrecht UniversityURU Research Centre

[email protected]

Pierre-Alexandre BallandUtrecht University

Economic [email protected]

andrea MorrisonUtrecht university

economic [email protected]

AbstractClimbing the Ladder of Technological DevelopmentSergio Petralia (Utrecht University, The Netherlands)

Ph.D Extent: From 1st September 2013 to 31st December 2016Email: [email protected]

ABSTRACT:

The study of the role of structural transformation in industrial development can be traced back to the work of Prebisch(1950), Singer (1950), Lewis (1954), and Hirschman (1958). Their main concern related to the adverse effects of theconcentration of exports on primary products and the deteriorating terms of trade. Within this literature, a successfulstrategy for development required diversification from traditional activities, mainly in primary sectors, to modern andcomplex activities which were more dynamic and offered higher potential for growth.

In recent years this discussion has seen a renewed interest for both, scholars and policy makers, and a new consensusseem to have arisen: Economic development requires diversification, not specialization (Rodrik 2003, Bell 2007 and

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2009). This consensus builds on recent empirical evidence by Imbs and Wacziarg (2003), which documented a clearU-shaped relationship between GDP per capita and sectoral concentration of production capacity, meaning that asincome per capita increases economies become less concentrated, until this pattern reaches a turning point andcountries start specializing again. A substantial number of studies have gone further investigating whether this empiricalregularity would hold for exports as well (Klinger and Lederman 2004 and 2006, Aditya and Acharya 2011, and Cadot etal. 2011).

This paper investigates countriesâ?? patterns of technological diversification, as reflected by their patenting activity onthe United States Patent and Trademark Office (USPTO). First, we look at countriesâ?? patterns of concentration ofpatenting activity and confirm the existence of a remarkably similar, simultaneous process of diversification andspecialization to that documented for productive and exporting capacity. Second, we use disaggregated data onpatenting activity by type of technology to understand in deeper detail how this process took place. Our primary goal isto provide further understanding on how characteristics of technologies, relatedness among technologies, andcountriesâ?? profiles of competences drive/constrain possible paths of technological development. In particular, wepropose a two-step econometric model which: a) takes into account that factors influencing the decision to participate ina certain type of technology may be different than those affecting the decision to specialize on it; and b) deals with theproblem of self selection in this sample.

We show that the likelihood a country will diversify into a new innovative activity is higher for those activities that arerelated to its existing profile of competences, and additionally, that this effect is stronger at early stages of development,meaning that the likelihood a country will diversify into new innovative activities is heavily constrained by its existingprofile of competences. This likelihood also decreases as technologies become more complex, however, oncediversification has taken place, countriesâ?? tend to specialize in more complex and profitable technologies.

Most of the policy recommendations regarding technological catch up have been done focusing on countriesâ?? patternof technological specialization, and pointing towards the need to engage in the production of more sophisticated andcomplex technologies. Our sharper and deeper characterization of the process of technological development, whichstresses the differences between diversifying and specializing, suggests that any policy strategy aiming at diversifyingcountriesâ?? technological capabilities shouldnâ??t be conceived disregarding the role of indigenous capabilities andthe initial pattern of comparative advantages. While our results confirm that indeed, countriesâ?? tend to specialize inmore complex and profitable technologies, this specialization process occur among the menu of technologies countriesalready have acquired the capabilities to produce. When it comes to diversify into new activities, the likelihood a countrywill diversify into new innovative activities is heavily constrained by its existing profile of competences, especially at earlystages of the development process.

Jelcodes:O31,O14

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Climbing the Ladder of Technological Development

Sergio Petraliaa,*

Pierre-Alexandre Ballanda,c

Andrea Morrisona,b

ABSTRACT:

VERY PRELIMINARY DRAFT

DO NOT DISTRIBUTE OR QUOTE

a) Utrecht University, URU Research Centre; b) Bocconi University, CRIOS; c) Lund University, Circle. * Corresponding author: Heidelberglaan 2, 3584 CS Utrecht | Utrecht University | Room 6.19 | T. +31 (0)30 253 1368 | F. +31 (0)30 2532037 | [email protected]

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1. Introduction

The study of the role of structural transformation in industrial development can be traced back

to the work of Prebisch (1950), Singer (1950), Lewis (1954), and Hirschman (1958). Their main

concern was related to the adverse effects of the concentration of exports on primary products

and the deteriorating terms of trade. As a result, they considered that a successful strategy for

development required diversification from traditional activities, mainly in primary sectors, to

“modern” and “complex” activities, which were more dynamic and offered higher potential for

growth.

In the recent years this discussion has seen a renewed interest from both, scholars and policy

makers, and a ‘new’ consensus seem to have arisen: ‘Economic development requires

diversification, not specialization’ (see Rodrik 2006 and Bell 2009). This ‘consensus’ builds on

recent empirical evidence, which documented a clear and sustained pattern of diversification of

countries’ productive structure during most of their development path (Imbs and Wacziarg

2003, Klinger and Lederman 2004 and 2006, Aditya and Acharya 2013, and Cadot et al 2011).

This paper investigates countries’ patterns of accumulation and diversification of innovative

capabilities, as reflected by their patenting activity on the United States Patent and Trademark

Office (USPTO). First, we look at countries’ concentration patterns in patenting activity and

show there exists a process of diversification/specialization of countries’ innovative

capabilities, with a remarkable similar pattern to that found for domestic production and

exporting capacity. We found an U-shaped relationship between GDP per capita and

concentration of patenting activity.

Second, we use disaggregated data on patenting activity by type of technology to understand in

deeper detail how this process took place. Our primary goal is to provide further

understanding on how countries’ indigenous competences and characteristics of technologies,

such as their ‘complexity’ and ‘relatedness’ among them, may drive or constraint possible paths

of technological development. In particular, we propose a two-step econometric model which:

a) takes into account that factors influencing de decision to participate in a certain type of

technology may be different than those affecting the decision to specialize on it; and b) deals

with the problem of self selection in this sample.

We show that the likelihood a country will diversify into new technological activities depends

significantly on countries’ existing competences as well as characteristics of the technologies in

question. In particular, we show that the likelihood a country will diversify into a new

innovative activity is higher for those activities that are ‘related’ or ‘close’ to its existing profile

of competences. All these effects are stronger at early stages of development, meaning that the

likelihood a country will diversify into new innovative activities is heavily constrained by its

indigenous capabilities, where path dependency is a key element. Regarding countries’ patterns

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of specialization, we found that as countries move along their development path, they tend to

specialize in more ‘complex’ and ‘profitable’ technologies.

The implications of these results are twofold; on the one hand, our first finding brings to the

front the importance of technological diversification in the development process. On the other

hand, our sharper and deeper characterization of the process of technological development,

suggests that any policy strategy aiming at diversifying countries’ technological capabilities

shouldn’t be conceived disregarding the role of indigenous capabilities and the initial pattern of

comparative advantages.

This paper is structured as follows: The next section reviews the literature studying countries’

patterns of diversification and specialization, to later focus on mechanisms through which

‘relatedness’ among technologies may affect these processes. In section number three we

present the data and describe the methodology, while section four discusses the results. The

last section concludes.

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2. Framework !

The importance of structural transformation in industrial development has received renewed

attention from both, scholars and policy makers; and a ‘new’ consensus seems to have arisen:

‘Economic development requires diversification, not specialization’. In fact, this quote has

been taken directly from Rodrik (2006), which discusses stylized facts in industrial

development. In the same line, but within a context of policy recommendations for capability

building, Bell (2009) states: ‘entering into new lines of economic activity (starting new

industries) is just as important as becoming increasingly efficient in existing ones, and over the

longer term it is more important’. This ‘consensus’ builds on recent empirical evidence, which

documented a clear and sustained pattern of diversification of countries’ productive structure

during most of their development path (see Imbs and Wacziarg 2003, Klinger and Lederman

2004 and 2006, Aditya and Acharya 2013, and Cadot et al. 2011). This paper aims at providing

a better characterization of countries’ patterns of accumulation and diversification of

innovative capabilities, as reflected by their patenting activity at the USPTO.

At country level, innovation studies focusing on patterns of technological specialization and

diversification are very limited and restricted only to advanced economies, mostly due to data

limitations. Archibugi and Pianta (1991) found an inverse relationship between countries’

technological size (measured by cumulative R&D expenditure) and the degree of sectoral

concentration of technological activities. They covered the period 1975-1988 and used patent

information for around a dozen of countries, mostly OECD members. Cantwell and Vertova

(2004) looked at the evolution of technological specialization in seven developed economies

between 1890 and 1990, finding also a similar patterns regarding the relationship between

countries’ technological size and the degree of sectoral concentration. More recently, and

within the development and trade literature, Imbs and Wacziarg (2003), Klinger and Lederman

(2004 and 2006), Aditya and Acharya (2013), and Cadot et al (2011) documented a clear and

sustained pattern of diversification in countries’ productive and exporting structure, which

persists along most of the development process.

These studies agree, from different perspectives, on the importance of diversification for

development and leave the door open for questions regarding the characterization of these

diversification and specialization processes (i.e. of the productive, exporting, and innovative

capacity). In that direction, Vertova (2001) analyzed patent activity for a handful of developed

economies and covering a period of 100 years (1890-1990), finding that only few countries

were able to specialize in fast-growing technological fields. Lall (2000) explored export patterns

of developing countries finding evidence that countries with an export portfolio more oriented

towards technology-intensive products tend to grow faster in the world trade. Also, Haussman

et al. (2006) developed an index measuring the "quality" of countries’ export baskets and

showed that countries specializing in products which lay higher on this quality spectrum tend

to perform better. Additionally, Hidalgo et al. (2007) and Hidalgo and Haussman (2009 and

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2011) found evidence that countries’ export patterns become more ‘sophisticated’ and

‘complex’ as they develop. Therefore, the evidence seems to point towards two preliminary

conclusions: First, that the diversification of countries’ productive and innovative capabilities is

an important part of the development process and second, that well performing countries

posses a distribution of their production and exporting capacity oriented towards the

production of more ‘sophisticated’ goods.

An additional factor, which has gained considerable attention, has to do with the role of

‘relatedness’ among products and knowledge, and its effect on the diversification process. At

the country-level, the role of ‘relatedness’ on diversification has been studied by Hidalgo et al.

(2007) and Hidalgo and Hausmann (2009 and 2011). These authors developed a framework

that incorporates ‘relatedness’ among products as a key element, the so called ‘product space’

(PS). The PS is a network-based representation of the economy where the nodes define

product categories and the ties among them indicate their degree of relatedness. Using trade

data at a very disaggregated product-country level they studied how the structure of the PS

affects countries’ patterns of diversification and specialization, in particular, they found that

product diversification depends considerably on the capabilities already present in that country,

meaning that countries move through the PS by developing goods close to those they currently

produce.

At the firm level, results show that firms tend to follow coherent patterns of diversification;

within the innovation literature, Jaffe (1986) and Breschi et al. (2003) found that firms’ tend to

diversify into groups of activities that share a common or complementary knowledge base. Yip

(1982) studied firms’ choices between internal development and acquisition and found that the

likelihood of entry into new markets increases as those markets are more related to firms’ own

characteristics. MacDonald (1985) analyzed patterns of diversification within U.S.

manufacturing firms, finding they were more likely to enter rapidly growing industries, and

industries that were related to their primary activities through supply relationships or marketing

similarities. Additionally, Teece et al. (1994) showed U.S. manufacturing firms maintain certain

level of coherence while diversifying to neighboring activities1.

Most of the literature studying processes of diversification at firm level has concentrated in

product diversification; however, the relationship between product diversification and firm

technological diversification is not an unambiguous one. It could be possible for a firm to

diversify its productive activity by taking advantage of its own technological competences,

maybe at the expense of needing additional investments in their marketing or organizational

structure, but without incurring in a process of technological learning. The reverse argument is

also valid. This study is concerned with the process of technological diversification; the

interaction between product and technological diversification falls outside the scope of this

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!

1 Studies focusing on industrial evolution of regions have found that they tend to diversify into

!

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paper and will not be discussed here. In what follows, we revise the innovation literature

regarding firms’ incentives for technological diversification and incorporate the effect of

‘relatedness’ in this process.

The innovation literature has identified several factors affecting firms’ incentives to diversify

technologically:

a) Inter-industry differences in Technological Opportunities (TOs), i.e.

industry differences in “the productivity of R&D” (Jaffe 1986, Klevorick et

al. 1995, Laursen 1999, and Malerba 2002 and 2004)

b) Dynamism of demand conditions (Schmookler 1966)

c) The effect of risk and volatility (Koren and Tenreyro 2007 and 2013)

d) Entry Barriers, as described in Perez and Soete (1988).

The categories outlined above group different arguments related to firms’ incentives for

technological diversification. They include cases where diversification may be triggered by

firms’ attempts to move to more ‘profitable’ positions, either motivated by differentials in the

rates of return to R&D investment, or by growing demand conditions. Additional factors

include efforts to mitigate the impact of shocks affecting productivity, and easiness of access

due to lower requirements of initial investments, and technological or scientific knowledge. All

these incentives affecting firms’ decision to diversify can, in principle, be studied without

referring to the role of ‘relatedness’ among technologies. However, and unlike other types of

diversification, which can be accomplished without engaging into an active process of learning

and capability accumulation 2 , firm’s possibilities for technological diversification depend

heavily on their capabilities to acquire, accumulate, and process the knowledge required to do

so. This characteristic of the process of technological diversification that mainly motivates our

arguments regarding the importance of the role of ‘relatedness’. We identify two channels

through which ‘relatedness’ may affects/constraints firms’ possibilities for technological

diversification:

a) Economies of scope in the use of knowledge

b) Firms’ absorptive capacity.

The first argument relates to the fact that firms have economies of scope in the ‘use of one

piece of knowledge’ (Penrose 1959, Teece 1982), meaning that the same type of knowledge

could be used as an input in multiple technological fields. Therefore, the more related two

technological fields, the bigger the share of common heuristics and scientific principles they

rely on, and consequently, the bigger the possibilities to take advantage of the already acquired

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!

2 For instance, a firm that is not exporting a product it already produces can start doing it if macroeconomic conditions change favorably. This firm may therefore diversify its exporting capacity without any need to incorporate scientific knowledge.

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knowledge. Going back to our previous characterization, economies of scope will affect

barriers to entry by reducing investment costs, and the costs of acquiring the scientific and

technological knowledge required to assimilate and carry out the innovation.

The second channel we identified as a factor explaining the importance of ‘relatedness’ for

technological diversification has to do with firms’ absorptive capacity (Cohen and Levinthal

1989). According to this view, prior knowledge confers the ability to recognize the value of

new information, assimilate it, and exploit it to commercial ends. This implies that firms’

absorptive capacity facilitates the incorporation of new knowledge and the possibility for its

commercial exploitation, it confers the firm with the ability to better understand the challenges

and opportunities lying before it, to form more accurate expectations, and to evaluate benefits

and costs associated with its introduction. Therefore, firms’ absorptive capacity directly affects

its perception of the technological opportunities a given technology may offer, it may have also

an impact on firms’ ability to form accurate expectations about its demand, and the risks

associated with an attempt to diversify into it. Therefore, the more related a technology is with

firms’ absorptive capacity, the more likely it will accurately assess the benefits and costs

associated with its introduction.

The innovative process is not the outcome of an individual process of learning and capability

accumulation, it is placed and determined within a larger system that supports and benefits

from it. It is not completely understood, however, how firms’ possibilities for technological

diversification may be affected in situations where the environment they operate in does not

provide the necessary support (i.e. the basic knowledge base that may enable participation in

key industries, stable macroeconomic conditions required for long run planification, and where

the networks of actors mediating knowledge flows is not well connected). It is reasonable to

think that the effect of ‘relatedness’ may be even more important within scattered, not well-

developed systems; implying that the likelihood a firm, foreign or local, will successfully

diversify into a particular technological activity is highly influenced by the national context.

This paper aims at investigating countries’ patterns of accumulation and diversification of

innovative capabilities. We complement previous innovation studies of this sort, Archibugi and

Pianta (1991), Cantwell and Vertova (2004), and Vertova (2001), by providing a broader and

more comprehensive approach; which documents concentration patterns in patenting activity

for 175 countries and covering a period of 30 years (1978-2007). These results are obtained

using the same methodology as in Ims & Wacziarg (2003) and therefore are directly

comparable to the patterns found for productive and exporting capacity. Additionally, we

analyze countries’ patterns of technological specialization complementing the evidence found

by Vertova (2001), Lall (2000), Haussman et al. (2006), Hidalgo et al. (2007) and Hidalgo and

Haussman (2009 and 2011) regarding countries’ patenting and exporting specialization

patterns. We do this using disaggregated data on patenting activity by type of technology, in

order to test how countries’ indigenous competences and characteristics of technologies, such

as their ‘complexity’ and ‘relatedness’ among them, drive or constraint possible paths of

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technological development. We propose an econometric model which stresses the differences

between diversifying and specializing, in order to reflect the idea that whereas in developed

economies the process of technological upgrading looks more like maintaining or improving

an already established level of competitiveness and growth, in developing countries the main

concern relates to the ability to expand its competences and “catching-up”; where ‘relatedness’

among technologies plays a fundamental role determining the feasibility of this process.

In the next section we describe the data used in the analysis, define the variables of interest,

and develop the econometric model. We pay particular attention to the fact that factors

influencing the decision to participate in a certain type of technology may be different than

those affecting the decision to specialize on it; we also deal with issues related to self-selection

in our sample.

!

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3. Data and Methods

We start this section by describing the data sources and variables we will use through the

analysis. Later, we explain our methodological approach, aimed at characterizing countries’

patterns of specialization and diversification.

3.1 Data Sources and Variables

We rely on multiple sources of information. At the country level, we use the World Bank’s

World Development Indicators (WDI) database; which provides a diverse collection of

development indicators compiled from officially-recognized international sources.

Additionally, data on bilateral trade flows and distances were obtained from the BACI database

developed by the CEPII, while levels of IPR protection were taken from Park (2008). At the

technology level we use information from two sources: The USPTO for patenting activity;

and the Annual Survey of Manufactures (ASM) from the US census bureau for industry data.

We start this subsection by describing in detail how the variables were constructed, and finish

with a statistical description of them.

Evaluating countries’ technological trajectories requires being able to track and quantify

countries’ technological capabilities and their changes over time. We measure patterns of

specialization by computing countries’ Revealed Technological Advantages (RTA) for each

technological class (see Soete 1980, 1987). In particular,

!!"# ! !"#!"# !!"#$%#&!"# !"#$%#&!"#!

!"#$%#&!"#! !"#$%#&!"#!"

Where c stands for country, j for technological class, and t for the time period (three years

intervals). We assign the nationality of a patent by looking at inventors’ addresses; and consider

a patent to be part of country c portfolio of competences whenever an inventor resides there.

Therefore, this index provides information on countries’ patterns of technological

specialization by comparing the share each technology represents in countries’ own profile of

patenting activity, relative the world average. A value above unity indicates that country c has a

relatively high specialization pattern for a particular technological class when compared to the

world average. Additionally, note that this measure implicitly defines countries’ participation in

the US technological market, as specialization patterns can only be calculated for those

countries participating in that market. We come back to this issue in the next subsection when

we discuss the methodology.

Table 1 below provides a short description of all country level variables. These variables aim at

capturing country specific effects influencing patterns of participation and specialization.

Distance to the US market, as well as language barriers, and differences in purchasing power

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directly shift up barriers to entry. Additionally, countries’ outward orientation and the

importance of the US market as a commercial partner may increase the likelihood of

participation in the US ‘technological market’, the former by reflecting the need of

technological upgrading to compete in international markets, while the later to capture the

effect that strong trade relationships have on patenting activity. Also, changes in IPR regimes

may change incentives to patent both locally and abroad. Lastly, population and GDP per

capita aim at capturing size effects, and remaining factors that could be related to countries’

levels of development.

Table 1: Country-level Variables

Variable Name Description Source

Distance Thousands of km to US (using capital cities) CEPII

Language Whether or not English is an official language CEPII

Ex. Rate --------------------------------- WDI

Population Population in millions WDI

GDP per capita GDP per capita in 2005 US dollars WDI

Outward Orientation Share of total exports to GDP WDI

Trade Share of exports oriented to the US market BACI

IPR Index Index of IPR protection Park (2008)

We move now to the construction of the technology-level variables, which requires the

introduction of additional concepts. We start by building the so called Technological Space

(TS), which entails defining ‘relatedness’ among technologies, and later use it to build a set of

variables aimed at characterizing different aspects of technologies. We also propose an

additional set of variables using patenting activity and information of industries technologies

contribute to.

The concept of TS was first addressed empirically by Jaffe (1986, 1989), where he calculated

relatedness among two given technologies by looking at how often they were used in

combination with a third technology. In a similar manner, we construct the TS by following

the “product space” (PS) framework developed by Hidalgo et al. (2007). In this case, the TS

can be seen as a network-based representation of the technological production, where nodes

define technologies and the ties among them indicate their degree of relatedness (see also

Rigby 2012; Boschma et al. 2013; and Boschma et al. 2014). We identify 437 technologies using

the USPTO patent classification and measure relatedness by counting co-occurrences of

technologies (or classes) among patents. In particular, the degree of relatedness between

technology ! and ! is measured as follows:

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!!" !!!"

!!!!

Where !!" counts the co-ocurrences of technologies ! and !, and !! and !! !count the number

of ocurrences (size) of technologies. This is often referred to as the cosine similarity measure

and it has been widely applied in recent work (see Eck and Waltman 2009 for a detailed

analysis). Therefore the more often two technological classes appear together within the same

patent, the more related those technologies are, after controlling for the effect of size.

We use then the TS to measure two particular aspects of technologies, their sophistication and

complexity. Using the PS framework, it has been shown that more-sophisticated products are

generally located in the densely connected core of the PS, whereas less sophisticated occupy

the periphery (Hidalgo et al. 2007). We therefore include the closeness centrality measure of

each technology, which is defined as the inverse of the average length of the shortest paths

to/from all the other vertices in the graph (Freeman 1979). Then for technology ! and distance

measured as the shortest path between nodes, the centrality measure can be computed as:

!! ! !!!! !!!

!!

Additionally, Hidalgo and Haussman (2009) showed that it is possible to quantify the

complexity of products by characterizing the structure of the TS. The main idea is that, by

treating the PS as a bipartite network in which countries are connected to the products they

produce; complex economic structures can be characterized as those producing a wider range

of exclusive products (i.e. non ubiquitous, produced by very few countries). A country with a

complex technological structure will not only produce knowledge in many different

technological classes, but they will do so in technologies requiring capabilities found only in a

handful of countries. Therefore, the construction of an Index of Technological Complexity

(ITC) requires combining information on both, the 2-mode degree distribution of a country

(diversity) and the 2-mode degree distribution of the technologies it produces (ubiquity). We

follow their ‘method of reflections’ and iteratively calculate:

!!!! !!

!!!!!!"!!!!!!!

!!!! !!

!!!!!!"!!!!!!!

The matrix !!" takes value 1 if country c is a significant producer of technology j, and zero

otherwise. We consider country c to be a significant producer of technology j if its RTA>1.

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!!!! and !!!! measure levels of diversification of a country (the number of technologies

produced by that country), and the ubiquity of a technology (the number of countries

producing that technology). Each additional step incorporates feedback effects and produces

more precise estimations of the knowledge complexity of countries by using information on

the complexity of technologies they produce. By the same token, !!!!!estimates the knowledge

complexity of a technology using information on the complexity of countries that produce this

technology. For a detailed description of the procedure and the properties of the indicator see

Hidalgo and Haussman (2009).

We also include three more variables, the size and the Herfindhal concentration index of each

technological class, and the weighted average of the value added of industries the technological

class contributes to. The first variable aims mainly at controlling for size effects. Even tough

the level of patenting activity has been used to measure technological opportunities, as in

Laursen (1999); here we don’t go beyond any interpretation other than capturing differences in

the propensity of patenting activity among technological classes. As it is customary, we use the

Herfindhal index as an indicator of the amount of competition among countries within a

particular technological domain.

Along the introduction we aimed at disentangling whether profitability of technological

domains affect diversification and specialization patterns. We capture this effect by looking at

the value added of industries technological classes contribute to. Note that the USPTO

provides a concordance linking technological classes to standard industrial classifications;

which can be used to match technological classes with characteristics of the industries. We use

this concordance to generate a weighted average of the value added technologies contribute to

using information on value added by industry according to the ASM, more specifically:

!"! ! !!"

!

!"!

Where i indexes technological classes and s industrial sectors. !!" is a weighting matrix which

assigns a weight proportional to the amount of technological subclasses within class i

contributing to industry s according to the USPTO concordance. Table 2 below summarizes all

the tech-level variables.

Table 2: Technology-level Variables

Variable Name Description Source

Value Added Value added of industries technologies contribute to (in billions of dollars) ASM

Centrality Closeness centrality measure of the technology USPTO

Size Number of patents within the technological class (in logs) USPTO

Herfindhal Index Herfindhal concentration index of patenting activity USPTO

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ITC Index of Technological Complexity (as in Hidalgo et al. 2009) USPTO

Table 3 below shows descriptive statistics of the aforementioned variables. After combining all

different sources of information we ended up we a sample of 113 countries covering a 15 years

period, from 1993 to 2007. The main limiting factor was the availability of industry data. Three

points are worth highlighting, first note that from the whole sample of countries we have

information of, 69% of them participated at least once in the US technological market while

only 50% did it recurrently for all periods considered. Additionally, note that for our measure

of specialization the presence of outliers may be an issue, as it has a very uneven distribution

(MENTION DE TRANSFORMATION). Also note that our ITC appears to be highly

correlated with the size of the technological classes. All these issues will be addressed during

the discussion of the results, in fact, we will work with a corrected measure of specialization to

avoid our results be driven by the presence of outliers.

Table 3: Main Descriptive Statistics

Mean SD Min Max Specialization 3.38 27.89 0.01 4494

Country Level Variables

Mean SD Min Max Mean SD Min Max

Distance 8.50 3.52 0.54 16.8 GDP per cap 10286 15148 92.31 84072 Language 0.30 0.46 0 1 Outward O. Ex. Rate Trade 0.17 0.20 0 0.91 Population 48.48 156.5 0.1 1310 IPR Index 3.06 0.94 0.54 4.67

Technology Level Variables

Mean SD Min Max Correlation Table

Value Added 82.36 41.61 5.45 190.9 1.000 Centrality 0 1 -4.6 3.68 -0.141 1.000 Log Size 5.48 1.68 0 9.52 -0.256 0.189 1.000 Herfindahl 0.36 0.13 0.11 0.92 -0.100 -0.083 -0.092 1.000 ITC 0 1 -6.1 2.32 0.349 -0.163 -0.718 -0.092 1.000

Number of Countries in the Sample: 113 Participation Rate: 69% at least once, 50% for all periods Coverage: 1993-2007 (5 intervals of 3 years each)

!

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3.2 Methodology

This paper is concerned with the study of technological diversification and specialization

patterns at the country level. In particular, we are interested in understanding the role of

‘relatedness’ in the diversification process, and characterizing specialization patterns along

stages of development by looking at characteristics of technologies. Note, however, that

specialization patterns are only seen for countries that participate in the US technological

market; meaning that countries having capabilities in some particular technological field may

decide not to patent at the USPTO even though they may have the required competences to

do so. This could affect observed specialization patterns by underrepresenting patenting

activity of certain countries; for instance, distant and non-English speaking countries may face

higher patenting costs due to higher translation and monitoring costs. This means that the US

‘technological market’ may not be an unbiased sample of the world production of knowledge

and its distribution over countries. Additionally, the existence of unobserved factors such as

initial investment costs of entering into new technologies may bias the observed patterns of

specialization, even if they are uncorrelated with our technology-level variables; as they are

surely correlated with the likelihood of participation. Therefore, we would like to control for

country and technology specific effects while analyzing patterns of specialization, in order to

correct for potential biases due to factors (observed or not) affecting the participation decision.

Unfortunately, there are no possible assumptions under which one can allow for unobserved

effects in the selection equation as in linear panel data models. Adding the Inverse Mills Ratio

in the selection equation (in this case the specialization equation) and using FE does not

produce consistent estimators. Wooldridge (1995) proposes a sample selection panel data

model where the unobserved individual effect can be arbitrarily correlated with the observed

explanatory variables. Its Mundlak-like version requires assuming that the unobserved effect

has a conditional normal distribution with constant variance and linear expectation that

depends on the averaged values, over time, of the observed variables. Additionally, we are

required to assume normality on the error in the participation equation although it can display

serial correlation and unconditional heteroskedasticity; idiosyncratic errors in the specialization

equation do not require distributional assumptions (see Wooldridge 2002, pages 487, 540 and

582 for further details, also Wooldridge 1995 provides details on how to correctly estimate the

variance). We propose to estimate a sample selection panel data model as in Wooldridge

(1995), consider the following model:

!!!"!! !! ! !!! !!"

!! !!!!"

!

! ! !"#!" ! !!!!!

! ! !!"#!

!!"#!! !! ! !!!"#!! ! !!!!"#!!

!

! ! !!!!!

! ! !!!!!

! ! !!!"! ! !!"#!

!!"#!! !!"# if !!"# ! !

!!"# ! !!!!"#!! !!

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Where !!"# and !!"# represent specialization and participation patterns for country c and

technology j at period t, 1[.] denotes the indicator function, !!"! for k:1…5, and !!

! for r:1…8

contain all technology and country-level variables respectively; GDP stands for GDP per

capita, !!"# contains a set of dummy variables indicating the distance to the nearest

competence in the previous period (calculated as the shortest path length), and !!"#!! and !!"#

!

are error terms. In our model, the unobserved country and technology effects are captured by

!! and !! .

In the specialization equation we focus on how characteristics of the technologies, are

associated with specialization patterns along the development process by interacting them with

GDP levels; in this equation we control for country specific effects by including the averaged

values over time of all country level variables. In the participation equation we focus on the

effect of ‘relatedness’ and path dependence by creating a set of dummies identifying the most

proximate technological class in which countries participated in the previous period. We

introduce !!"#!! to capture whether countries already had competences in that technological

domain, while !!"#!!! !!!"#!!

! !!!"#!!! !!!"#!!

!" are dummies taking value one if countries

showed patenting activity in the previous period at a distance of one, two, three path lengths in

the TS, or no participation at all, respectively. Note that these dummies are mutually exclusive

and collectively exhaustive, !!"#!! trivially represents a distance of zero and identifies instances

of no diversification, while all the other remaining dummies capture diversification events. The

base category represents a distance higher than three. Table four below shows their

distribution.

Table 3: Nearest Activity (Distribution)

Participated (t-1) 1 2 3 Rest Didn’t Participate (t-1)

Participated (t) 80.1 11.5 3.6 1.6 3.2 0.5

Didn’t Participate (t) 5.1 9.5 6.4 4.8 24.0 50.2

The inclusion of !!"#!!!raises the issue of how we treat the initial observation. In that respect

we follow Heckman (1981) and assume that !!"! also follows a probit model. This approach

requires to condition on !!"!! as well, see Wooldridge (2002 page 493) for a detailed

description. As stressed above, this model requires assuming several non-trivial distributional

assumptions; not only on the error terms of the participation and specialization equations but

in the way the individual effects are modeled. We test the robustness of our results by

including a Linear Probability Model (LPM) of the participation equation that also includes

country and technology FE.

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4. Results

This section documents the results of the paper. First, we look at aggregated patterns of

diversification in patenting activity to later present and discuss the results of our econometric

model.

Figure 1 below shows countries’ concentration of patenting activity at the USPTO. We plot a

non-parametric (lowess) regression of the concentration of patenting activity (using the Gini

coefficient) and GDP per capita, covering a period of 30 years (1978-2007) for total of 175

countries and 437 technological classes.3 We follow Imbs and Wacziarg (2003) methodology,

which entails estimating a local FE linear regression at each interval of the lowess regression.

As previously mentioned, we find an U-shaped relationship between GDP per capita and the

concentration of patenting activity. Even tough the pattern is remarkably similar to that found

for production and exporting capacity, there are some differences worth pointing out: First,

the variance of the estimation seems to be higher, reflecting the more irregular behavior of

patenting activity. Second, the turning point, which was found to be around the income of

Ireland in 1992 in previous estimations, appears at a later stage in the development process.

Note, however, that shifts in the estimated value of the concentration measure come from two

sources, either from changes in the average intercept or the slope of the FE regression at each

interval. As we move to the right and incorporate different countries, country intercepts shift

the estimated value up or down (between variation) while the slope of the coefficient gives us

the direction they are following, on average (within variation). Then, inspection of Figure 1.1,

which captures the compound effect, shows a turning point appearing at a later stage of the

development process. However, this has to do primarily with changes in the average intercept;

figure 1.2 shows that when it comes to measuring the average direction followed by countries,

the re-concentration of patenting activity starts around the income of Ireland in 1992.

Figure 1: Concentration of Patenting Activity and Stages of Development

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!

3 As we are only looking at patenting activity, we can analyze a broader period than described in section three.

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Our previous result point towards the importance of technological diversification and the need

for a better understanding of its determinants. In what follows we start by describing how

countries and technology characteristics affect the likelihood of participation, to later focus on

our main variable of interest and discuss the role of relatedness and countries’ existing

competences on the likelihood of diversification. We finish by analyzing patterns of

specialization.

Table four below shows the results of our estimations for the participation equation, including

a robustness check aimed at testing whether our results may have been driven by the

restrictions we imposed with the baseline model (i.e. the impossibility of appropriately control

for country and tech effects and the distributional assumptions). All country-level variables are

highly significant and in line with what we could expect; the likelihood of participation in any

given technology is higher for countries having sounder IPR regimes, stronger currencies, and

an export profile more oriented to the US market. Additionally, this likelihood is higher the

more populated and developed the country. After controlling for the share of exports to the

US market, outward orientation of production has a negative impact. The effect of distance is

positive mainly due to the fact that LACs are closer while European and Asian, which have

higher participation, are far away. Additionally, sharing language impacts negatively given the

substantial proportion of developing countries, in number, having English as an official

language. With respect to technology-level variables, we find it more likely to see countries

participating in technologies with a lower degree of concentration, bigger size, less complexity,

and lower centrality. The value added of the industries technologies contribute to doesn’t have

a significant impact.

Results regarding the role of ‘relatedness’ and countries indigenous competences confirm our

hypothesis. The likelihood a country will diversify into a new technological activity is higher

the closer that technology is with respect to the profile of existing competences in that

country. Figure 2.1 below shows this result for two countries, Netherlands and Brazil and for a

representative technology4, where the effect of ‘relatedness’ is plotted against the likelihood of

diversification. This figure has two purposes: First, to graphically assess the importance of

relatedness in the process of technological diversification; note that the likelihood of

diversification can fall as much as 10% when trying to diversify into a technology that is two

steps away from existing competences. Second, to exemplify how this effect can be even more

restrictive for developing countries. Consider the case of Brazil, which can be seen as one of

the countries with more possibilities for technological diversification among developing

economies; note that even if the distance effect decays stronger for The Netherlands, a

decrease of around 10% in the likelihood of diversification associated with trying to reach a

technology two steps away represents a fall on the likelihood of success of about 20 % (from

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!4 Technology aattributes were set to their average values.

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Table 4: Results of the Participation Equation

Baseline Model

(Wooldridge 1995)

Baseline Model

(interacted with GDP)

Robustness Check

(LPM)

Relatedness Measures

Intercept -5.983*** (0.078)

-6.019*** (0.077)

!!"! 0.699*** (0.015)

0.708*** (0.015)

0.183*** (0.0098)

!!"#!! 1.49*** (0.020)

1.42*** (0.020)

0.291*** (0.014)

!!"#!!! 0.723***

(0.019)

!!"#!!! 0.442***

(0.023)

!!"#!!! 0.274***

(0.028)

!!"#!!!" -0.65***

(0.031) -0.621***

(0.031) -0.123***

(0.018)

!!"#!!!!! 0.641***

(0.02) 0.022*** (0.005)

!!"#!!!!!

!* GDP per capita -0.006*** (0.001)

-0.0014* (0.0005)

Tech-Level Variables

Value Added 0.0003* (0.0001)

0.0003* (0.0001)

Centrality -0.040*** (0.0057)

-0.0397*** (0.0057)

Log Size 0.236*** (0.0069)

0.224*** (0.0069)

Herfindahl -0.38*** (0.049)

-0.38*** (0.049)

ITC -0.126*** (0.010)

-0.141*** (0.011)

Country-Level Variables

Distance 0.063*** (0.002)

0.065*** (0.002)

Language -0.113*** (0.013)

-0.113*** (0.013)

Ex. Rate XXX*** (XXX)

XXX*** (XXX)

Population 0.001*** (0.000)

0.001*** (0.000)

GDP per capita 0.009*** (0.0005)

0.013*** (0.0006)

Outward Orientation -0.001*** (0.0001)

-0.001*** (0.0001)

Trade 0.852*** (0.035)

0.876*** (0.035)

IPR Index 0.700*** (0.013)

0.711*** (0.013)

Country Fixed Effects No No Yes Tech Fixed Effects No No Yes Time Fixed Effects Yes Yes Yes Cluster S.E. No No Yes (Country and Tech) AIC 71004

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50 to 40 percent), while it represents a fall of almost 50% for Brazil (from around 20 to 10

percent). Additionally, The Netherlands never reaches the starting point of Brazil, meaning

that its likelihood of diversification in distant technologies is higher than the one experienced

for Brazil in related technologies.

Therefore Figure 2.1 shows that even if the rate of decay is constant across countries, the

likelihood of diversification for developing economies may reach values near zero sooner, as

the likelihood of diversification for developing economies is ‘generally’ lower for every value of

distance we consider, due to country specific effects. As we mentioned in the introduction, it is

also possible that the rate of decay is steeper at early stages of development, with ‘relatedness’

having a higher impact at early stages. We test this hypothesis in a new regression by

interacting countries’ GDP per capita with a variable measuring proximity of the new

technology, and leaving other things equal. We divide possible diversification opportunities in

‘related’ and ‘not related’, where we consider a technology being related if

!!"#!!!

!!!"#!!!

! !"!!!"#!!! take value one, and zero otherwise. Note that this regression is then

analogous to our baseline model but with the set of dummies aggregated in order to reduce the

number of interactions. Results are reported in the second column of table four. Table four

above and figure 2.2 below show that the likelihood of diversification is higher for related

technologies but its importance decreases as countries develop, meaning that at later stages of

development the likelihood of diversification do not differ significantly between ‘related’ and

‘unrelated’ technologies.

Figure 2: Role of Relatedness on the Likelihood of Diversification

Therefore we showed that the likelihood a country will diversify into new technological

activities depends significantly on countries’ existing competences as well as characteristics of

the technologies in question. In particular, we showed that the likelihood a country will

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diversify into a new innovative activity is higher for those activities that are ‘related’ or ‘close’

to its existing profile of competences. All these effects are stronger at early stages of

development, meaning that the likelihood a country will diversify into new innovative activities

is heavily constrained by its indigenous capabilities and its NSI, where path dependency is a

key element of this process. Column three of table four shows an analogous LPM aimed at

checking the robustness of our results by controlling for country and technology FE, no

significant differences can be found.

Now we turn to the last part of this section, the analysis of countries’ patterns of specialization.

We look at different characteristics of technologies, such as their complexity and their position

in the technological space, in order to evaluate whether different features of the technologies

can be associated with different stages of the development process. This analysis is motivated

by the fact that, in addition to the ‘consensus’ regarding the fundamental role of diversification

for economic development; scholars have also, almost unambiguously, emphasized the need to

engage in the production of more ‘sophisticated’ and ‘complex’ goods and technologies to

foster development and experience higher growth (Rodrik 2006, Lall 2000, Haussman et al.

2006, Cimoli et al. 2007, Hidalgo et al. 2007, Hidalgo and Haussman 2009, and De Felipe

2012). Before, we found that the likelihood of participation is higher for technologies having

lower levels of concentration, bigger size, less complexity, and lower centrality. When it comes

to the evaluation of specialization patterns, we see that countries tend to move towards more

‘profitable’ and ‘dynamic’ technologies. We find, as reported in table 5 and figure 3 below, that

at later stages of the development process countries’ specialize in bigger and more complex

technologies, with higher value added and lower degree of concentration. The position in the

technological space seems not to be correlated with stages of development after other

characteristics have been controlled for, as the coefficient of the centrality measure cannot be

said to be significantly different from zero.

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Table 5: Results of the Specialization Equation

Baseline Model

(Wooldridge 1995)

Tech-Level Variables

Intercept 5.906*** (0.1305)

Value Added -0.0005* (0.0003)

Centrality -0.0826*** (0.0097)

Log Size 0.4057*** (0.0130)

Herfindahl -0.5736*** (0.0935)

ITC -0.1952*** (0.0150)

Value Added * GDP pc 0.00004*** (0.00001)

Centrality * GDP pc -0.00023*** (0.00032)

Log Size * GDP pc 0.0060*** (0.0003)

Herfindahl * GDP pc -0.3024*** (0.0029)

ITC * GDP pc 0.0033*** (0.0005)

Country-Level Variables

Distance -0.057*** (0.0019)

Language 0.042*** (0.012)

Ex. Rate XXX*** (XXX)

Population -0.0007*** (0.00002)

GDP per capita -0.035*** (0.0026)

Outward Orientation -0.00016* (0.00008)

Trade -0.59*** (0.033)

IPR Index -0.59*** (0.033)

IMR 0.531***

(0.01) Country Fixed Effects No Tech Fixed Effects No Time Fixed Effects Yes Cluster S.E. No

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Figure 3: Countries’ Patterns of Technological Specialization

These results are in line with what has been found and suggested previously within the

innovation, trade, and development literature, i.e. that well performing countries generally

posses a distribution of their production and exporting activities biased toward the production

of more ‘sophisticated’ and ‘complex’ goods and technologies.

!

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5. Concluding Remarks

In this paper we investigated countries’ patterns of accumulation and diversification of

innovative capabilities as reflected by their patenting activity at the USPTO. At an aggregated

level of analysis, we looked at concentration patterns in patenting activity for 175 countries and

over a period of 30 years (1978-2007), and showed there exists a process of diversification of

countries’ innovative capabilities with a remarkable similar pattern to that found for domestic

production and exporting capacity. We found an U-shaped relationship between GDP per

capita and the concentration of patenting activity. Additionally, and using disaggregated data

on patenting activity by type of technology, we tested how countries’ indigenous competences

and characteristics of technologies, such as their ‘complexity’ and ‘relatedness’ among them,

drive or constraint possible paths of technological development.

We found that, whereas in developed economies the process of technological upgrading looks

more like maintaining or improving an already established level of competitiveness and

growth, in developing countries the main concern relates to the ability to expand its

competences and ‘catch-up’; where ‘relatedness’ among technologies plays a fundamental role

determining the feasibility of this process. This suggests that any policy strategy aiming at

diversifying countries’ technological capabilities shouldn’t be conceived disregarding the role of

indigenous capabilities and the initial pattern of comparative advantages.

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