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What Affects the Main Engine of 
Growth in the European Economy? 
Industrial Interconnectedness and 
Differences in Performance of 
Business Services Across the EU25
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
Materials published here have a working paper character. They can be subject to further 
publication. The views and opinions expressed here reflect the author(s) point of view and not 
necessarily those of CASE Network. 
This report was prepared within a project entitled “The Impact of Service Sector Innovation 
and Internationalisation on Growth and Productivity” (SERVICEGAP). SERVICEGAP project 
is funded by the European Commission, Research Directorate General as part of the 7th 
Framework Programme, Theme 8: Socio-Economic Sciences and Humanities (Grant 
Agreement no: 244 552). The opinions expressed are those of the authors only and do not 
represent the European Commission's official position. 
Keywords: Industrial Linkages, Business Services, Growth, Multipliers, Input-Output 
JEL Codes: D57, L52, R15 
© CASE – Center for Social and Economic Research, Warsaw, 2013 
Graphic Design: Agnieszka Natalia Bury 
EAN 9788371785849 
Publisher: 
CASE-Center for Social and Economic Research on behalf of CASE Network 
al. Jana Pawla II 61, office 212, 01-031 Warsaw, Poland 
tel.: (48 22) 206 29 00, 828 61 33, fax: (48 22) 206 29 01 
e-mail: case@case-research.eu 
http://www.case-research.eu
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
2 
Contents 
Abstract ..................................................................................................................................................4 
1. Introduction .....................................................................................................................................5 
2. Service sector performance - an overview ..............................................................................6 
2.1. Business services ...................................................................................................................9 
2.2. Business services performance - country level ............................................................10 
3. Descriptive analysis of industrial linkages in the EU .........................................................13 
3.1. Theoretical background .......................................................................................................13 
3.2. Data description .....................................................................................................................14 
3.3. Results......................................................................................................................................15 
4. The link between linkages of business services and growth of value added.............18 
4.1. Interpretation ..........................................................................................................................18 
4.2. Structure of the model .........................................................................................................19 
4.3. Results......................................................................................................................................20 
Conclusions ........................................................................................................................................22 
References ..........................................................................................................................................23 
Appendix ..............................................................................................................................................24
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
Maciej Sobolewski, Dr Maciej Sobolewski obtained his PhD in economics from the University 
of Warsaw. His research interests include industrial organization, regulatory economics, 
access pricing and competition theory with particular focus on electronic markets, ICT 
technologies and innovation. From 2007 to 2011, he worked as a senior expert at Orange 
Labs, a France Telecom R&D Center. He has participated in numerous research projects 
regarding modeling of competition in markets, diffusion of innovation, spectrum auctions and 
social networks. Maciej Sobolewski is an Assistant Professor within the Department of 
Economics at the University of Warsaw. In 2011, he was appointed Vice President of CASE, 
where he is responsible, inter alia, for developing new research areas. 
Grzegorz Poniatowski is a Junior Economist at CASE and a PhD candidate at the Warsaw 
School of Economics. He holds a joint Master’s degree in Economics from the University of 
Paris-1 Pantheon-Sorbonne and the Autonomous University of Barcelona. He also completed 
an MA and BA in Quantitative Methods in Economic and Information Systems at the Warsaw 
School of Economics. His research interests include mathematical modeling, macroeconomics 
and mechanism design. 
3
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
4 
Abstract 
The main purpose of this study is to determine what are the main factors which stand behind 
the diversity in performance of business services measured by their contribution to growth in 
the EU Member States. We show that in addition to typical growth factors which enhance 
labour productivity, also the extent of interconnectedness of business services with upstream 
industries is important to explain service-based economic growth. 
Our analysis yields two interesting results. Firstly, we show that patterns of industrial 
interconnectedness of business services are considerably diversified across the EU Member 
States indicating large differences in the integration of services as supplier with other sectors 
on a country level. Secondly we show that the diversified growth performance of business 
services across the EU25 countries can be explained by differences in labour productivity and 
differences in forward linkages. 
Our results indicate the fundamental role of business services as the main engine of growth in 
the European economy. This service-based growth is channelled mainly through increases in 
labour productivity and forward interconnectedness of services with downstream industries. 
On the policy making level our results indicate that investment in human and intangible capital 
are crucial for the service-dominated economy as they not only enhance economic growth 
inside knowledge intensive services but also facilitate transmission of growth impulses to 
downstream industries by increasing diffusion and integration of services as suppliers of high 
value added inputs to the economy.
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
5 
1. Introduction 
Over the last decade the service sector has gained a dominant impact on the European 
economy. Currently, economic growth in Europe is based largely on knowledge, human and 
intangible capital located in services. It is difficult to assess whether continuous increases in 
the share of services in economic growth will bring positive outcomes in the long term. Yet, 
there is no indication that this tendency of service based-growth will change in the foreseeable 
future. 
Increasing importance of services as the main part of economic growth implies that one should 
take a closer look at critical factors that lie behind the increase in the value added generated 
in the services. The wide literature on the topic stresses in particular the importance of human 
and intangible capital, which affect labour productivity - the main channel of growth in service 
sector (van Ark et al. 2008, Roth et al. 2010). The growth literature also confirms the 
importance of specific types of fixed tangible capital, in particular investment in ICT equipment 
(Uppenberg & Strauss, 2010, Bertschek et al. 2010). 
Recently, researchers have paid a lot of attention to the fact that growth based on services is 
related to the use of high value-added sectors of the economy vertically related to services 
sector (Jarocińska and Falck 2010). Therefore, not only the factors affecting the productivity 
of labour such as human and intangible capital, but also the degree to which services impact 
on other sectors should play a role in the growth model based on the economies driven by 
services. 
To date, the literature on sectoral relations is mainly descriptive (Soofi, 1992, Claus & Li 2003). 
However, it seems that in an economy with a dominant share in the growth of services, the 
degree of linkages with other sectors of services is in itself an important determinant of growth. 
Vertical sectorial links show the degree of integration of services with the rest of the economy 
– manufacturers and suppliers of factors of production with high added value. Greater degrees 
of services interlinkages, being for example a result of domestic outsourcing, changes the 
structure of the production factors. There is a growing demand for high value-added and 
knowledge-based human capital and decreasing importance of physical capital and raw 
materials. All these changes should be reflected in the structure of growth reflecting a greater 
share of the services sector in the creation of added value.
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
This paper examines the determinants of the share of knowledge intensive services in growth 
of value added. Our goal is to examine whether the degree of cross-sectoral linkages of 
upstream services sectors is an important factor in explaining this increase. According to the 
intuition developed above, we expect that the growth of vertical linkages with other sectors of 
services is positively associated with the share of the services sector in the creation of value 
added growth. 
The rest of the paper is organized in the following way: Section 2 presents an overview of 
service sectors across the EU, showing overall importance for economic growth and cross-country 
differences in performance. In Section 3 we operationalize the idea of integration of 
services using industrial interconnectedness measures. We calculate forward linkages and 
forward dispersion indicators based on input-output data and describe patterns of 
interconnectedness based on cluster analysis. In section 4 we develop a simple econometric 
analysis to test for the relation between the level of vertical integration of business services 
and their growth performance. Section 5 concludes. 
6 
2. Service sector performance - an overview 
Many studies show that services play a dominant role as a driver of economic growth in the 
economy of the EU25. For example Uppenberg and Strauss (2010) indicate that with a few 
exceptions high-growth countries have mostly expanded on account of their services sectors, 
not manufacturing. 
Indeed looking at industrial data collected in the EU KLEMS database, the domination of 
services in economic performance is evident. In 2005 service sectors accounted for around 
two-thirds of total value added and for three-fourths of real value added growth in the decade 
to 2005.1 Consequently, share of manufacturing in value added creation has fallen well below 
one-fifth in 2005 and contribution to real value added growth has been only around ten percent 
over the decade to 2005 – see Figures 1 and 2. 
1 All results presented in this section are own calculations on data on industrial performance from EU KLEMS 
Growth and Productivity Accounts Database. See http://www.euklems.net/
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
7 
Figure 1. Share in value added generated in the EU25 by industry 
Source: own, based on EU KLEMS database. 
Figure 2. Average value added growth rate; contribution to value added growth and 
contribution to employment growth in 1995-2005 by industry (real values from 1990) 
Source: own, based on EU KLEMS database. 
In terms of employment, the dominance of services is even more striking with 115% 
contribution to employment growth over the decade between 1995 and 2005. The major part 
of this growth was recorded in market-based services (73%) while the remaining 42% of the 
total employment growth in that period took place in public sector based services (sections L-Q). 
With few exceptions, manufacturing employment in most European countries has shrunk 
considerably by 33% over the decade preceding 2005 at EU25 level. Also other industries 
apart from services experienced a decrease in employment: agriculture by 6%, mining (4%) 
and energy supply (3%)– see Figure 2. Altogether the share of services in total employment in 
the EU25 increased over the decade from 51 to 56% - see Figure 3.
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
8 
Figure 3. Share in employment in the EU25 by industry 
Source: own, based on EU KLEMS database. 
Together with the dominant contributions to total value added and employment growth over 
the decade to 2005, services outperformed other sectors of the economy in terms of labour 
productivity, with one exception of electricity and gas supply (section E) which is a highly 
profitable industry due to high barriers to entry and inelastic demand. In 2005 the level of value 
added per hour of labour for market based services accounted for 55 EUR while for 
manufacturing one hour of labour brought about only 34 EUR of value added. The difference 
becomes smaller although still positive if we account also for public sector services which has 
very low productivity (only 11 EUR) due to considerably higher employment – see Figures 3 
and 4. 
Figure 4. Value added per unit of labour (hour) in the EU25 by industry (real values from 
1990) 
Source: own, based on EU KLEMS database.
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
Essentially, services constitute quite heterogeneous conglomerates with large market based 
and public sector parts.2 Among market based services the largest one is section K which is 
the main focus of this paper. It groups services dedicated mainly for businesses such as real 
estate, machinery renting, computing and consultancy and hence in this paper will be called 
Business Services [BS]. We now turn to a brief overview of this specific and very important 
part of service industry. 
9 
2.1. Business services 
Data on business services industry performance clearly show that it has been the main engine 
of growth in the whole EU25 economy over the decade 1995-2005. 
In the years 1995-2005 total value added in EU25 economy grew on average by 2.5% per 
annum. At the same time all types of market based services achieved faster growth rates. The 
most rapid growth was recorded in transport and communications (5.3% p.a.) then in financial 
intermediation (4% p.a.) and then in business services (3.6% p.a). Manufacturing performed 
well below average growth rate (1.8% p.a.) – see Figure 2. One has to remember that 
compared to business services both transport and communication as well as financial 
intermediation are much smaller in terms of shares in total value added generation – see Figure 
1. Thus looking only at the value added growth rates would lead to underestimation of true 
economic importance of business services. 
For a couple of reasons, overall economic importance of business services for the EU25 
economy is undoubtedly the greatest. Firstly, business services section has the largest size 
measured by share in annual value added generation among all market based sections of the 
EU25 economy. In 2005 business services accounted for 21% share in value added while total 
manufacturing generated 17%, trade 10% and construction only 5% - see Figure 1. Only public 
sector services altogether had a larger contribution (24%). 
Secondly, business services had the largest contribution to total value added growth in the 
decade preceding 2005. This sector generated almost one third of the total growth, while 
manufacturing and trade contributed two times less and construction only by 3% – see Figure 
2. Thirdly, contribution of business services to total employment growth over the decade has 
been also the largest (54% share), followed by trade sector (24%). In the same period several 
2 According to NACE Rev. 1.1 services consist of 4 market based sections: Hotels and Restaurants (H), Transport 
Storage and Communication (I), Financial Intermediation (J), Real Estate, Renting and Business Activities (K) and 
public sector based sections (from L to Q) under joint heading Community Social and Personal Services.
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
sectors experienced decrease in employment, largest in manufacturing (33%) and modest in 
agriculture (6%), mining (4%) and energy supply (3%). 
In terms of productivity measured by value added per unit of labour, business services were in 
the top three sectors after energy supply (102 EUR/hour) and financial services (66) with the 
indicative value of 62 EUR per hour. Productivity of labour in manufacturing was almost twice 
lower (33 EUR/hour) – see Figure 4. To understand better the role of business services we 
have further decomposed this sector. 
Figure 5. Business services by subindustry: share in value added in 2005, average value 
added growth rate, contribution to value added growth in 1995-2005 (real values from 
1995) 
10 
Source: own, based on EU KLEMS database. 
Business services is composed of six subsections. Looking at Figure 5, the contributions to 
value added total growth in the decade 1995-2005 are well spread among subsections. Real 
estate, business consultancy and computer services were among top three contributors 
accounting together for 80% of value added growth. In terms of share in value added in 2005 
the largest two subsections were real estate (50%) and business consultancy (22%). On the 
other hand computer related services was the fastest growing business services subsection in 
the decade (12% p.a.) – see Figure 5. 
2.2. Business services performance - country level 
Business services are highly diversified among EU25 countries with respect to size and 
performance. This diversity has two dimensions. Firstly, there is huge gap in economic impact 
of business services between Old and New Member States, indicating substantial 
underdevelopment of this sector in EU10. Secondly the performance of the business services 
sector is much more diversified in New Member States then in EU15.
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
Surprisingly, 92% of total EU25 value added in business services is generated in Old Member 
States. EU10 countries generate the remaining 8%. The leading countries of EU15 group are 
the large developed economies: Germany (23%), France (19%), UK (16%), Italy (13%) and 
Spain (6%) – see Figure 6. Among New Member States the largest contribution to EU25 value 
added has Poland (1.3%) although it is very low in comparison to abovementioned EU15 
Members. 
Figure 6. Share of business services in value added generated in 2005 on the EU25-level 
by country 
11 
Source: own, based on EU KLEMS database. 
The size of the business services section differs quite substantially on a country level inside 
the EU25. The share of this section in value added in 2005 ranged from above 25% for 
Germany and France to less than 15% for Poland, Slovakia, Czech Republic, reaching the 
bottom in Lithuania (10%). Generally New Member States have lower size of business services 
then EU15 Member States (18 vis-a-vis 22%). On the other hand EU10 countries have 
substantially larger size of public sector services (31 vis-vis 18%). This is an apparent 
consequence of legacy inherited from times of command economy – see Figure 7.
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
Figure 7. Share of business services in value added generated on a country-level in 
2005 
12 
Source: own, based on EU KLEMS database. 
Similar observations can be drawn with respect to performance of business services, 
measured by contribution to total value added growth. In EU15 business services accounted 
for 29% of total value added growth in the decade to 2005 while in the EU10 the contribution 
was half of this (14%). Business services have the strongest impact on growth in Germany 
(50%), then in Belgium, Italy, UK and France (around 32%). Business services in Poland, 
Czech Republic, Slovakia and Greece have lowest growth contributions (less than 10%). 
Surprisingly Sweden has low performing business services with only 15% contribution – see 
Figure 8. 
Figure 8. Contribution of business services to value added growth and contribution to 
employment growth in 1995-2005 on a country-level (real values from 1990) 
Source: own, based on EU KLEMS database.
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
13 
3. Descriptive analysis of industrial linkages in the EU 
3.1. Theoretical background 
For measuring the potential of spreading growth throughout the economy and grasping 
dependencies between down- and upstream sectors, the economic literature indicates a 
number of measures based on the Leontief input-output model (see e.g. Oosterhaven, J. & 
Temurshoev, U., 2010). Having a comprehensive picture of the flows of products and services 
in the economy in a given period of time allows for computing a variety of indicators measuring 
strength of particular industries either as demanders or as suppliers. 
Backward linkages stand for industries’ demand for products and services from upstream 
sectors. Thus, strength of this type of linkages is equivalent to power of a particular industry 
as a demander. Strong backward linkages suggest that emergence of a sector would result in 
a strong development of branches providing its input. This is why backward linkages create a 
channel of growth through increased investment or capacity utilization in other branches (see 
Tragenna, F., 2008). On the opposite side, following the idea that output is input determined, 
forward linkages with downstream sectors induce growth by providing more capacity for final 
producers. Strength of industry’s forward linkage, equivalent to power of industry as a supplier, 
suggests also that industry’s services and products are not delivered in significant values in-house 
in downstream sectors. 
In this research we concentrate on the suppliers’ side of the business services sector. As they 
are of particular importance because of their role to provide an input to other branches, we do 
not look at the secondary channel of growth through backward linkages. We limit our analysis 
to forward linkages and depend on the information that stays behind the value of total forward 
linkages measure (FL) weighted by industries’ share in final uses3. With the ceteris paribus 
assumption (i.e. shares and dependencies between branches stay constant), value of 
weighted total forward linkage for a particular industry informs what would happen to a given 
industry’s total output if the final output of all other branches were to increase by one unit. 
As FL and BL measure only strength of interconnectedness of sectors, they do not capture 
spread of industries’ input and output among other branches. For this purpose the literature 
3 Final consumption expenditures, changes in value of inventories, gross capital formation and exports.
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
indicates measures of dispersion (see Drejer, I., 2002). Backward measure of dispersion 
(BMD) is an indicator whose value informs about the spread of input from upstream industries. 
On the contrary, forward measure of dispersion (FMD) quantifies the spread of sectorial output 
regarded as an input to other industries. For explaining patterns and role of business services, 
whose main role is to serve as supplier to other industries, we use FMD. The extreme low 
value of FMD, which is 0, describes the situation when the sector provides input to only one 
industry. The extreme high value (√푁 − 1 , where N stands for the number of industries) 
defines the branch that supplies all the sectors with the products and services of the same 
value. Mathematical formulas of FL and FMD are based on a standard measure of industry 
concentration. Their derivations are presented in Appendix 1. 
14 
3.2. Data description 
Our computation of FL and FMD indicators was based on the last available product-by-product 
input-output tables estimated by Eurostat. After eliminating incomplete tables, the final dataset 
comprised of 22 tables for the year 2005, covering: Austria, Belgium, Czech Republic, 
Denmark, Germany, Estonia, Spain, Finland, France, Greece, Ireland, Italy, Lithuania, 
Hungary, Netherlands, Poland, Portugal, Sweden, Romania, Slovakia, Slovenia and United 
Kingdom. 
The original tables from Eurostat present flows of products and services across 59 branches 
classified according to the European Statistical Classification of Products by Activity, 
abbreviated as CPA. In order to obtain more aggregated results we build our own classification 
of 17 separate and consistent industries by accumulating more disaggregated Eurostat data. 
The obtained values of forward linkages and forward measures of dispersion are set together 
with: values of GDP, share of ICT in GDP, labour productivity, wage gap (between 
professionals and unskilled workers) and share of business services in exports and total output 
from Eurostat databases. We compute share of business services in value added and 
contribution to value added growth based on data from the EU KLEMS database.
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
15 
3.3. Results 
We obtain values of FL for 22 EU countries ranging significantly, from 0.24 to 0.93. It means 
that patterns of interconnectedness of business services are considerably diversified across 
the EU Member States. In order to increase final output, some European economies require 
three times more than other emergence of business services sector. In France, where we 
observed the strongest interconnection, total use of business services must increase by 0.93 
EUR to enable growth in all the industries by one EUR. On the other hand, values of FMD 
range much less significantly ranging from 3 to 3.7. Values of both indicators – FL and FMD 
are presented in the graph below (Figure 9). 
Figure 9. Forward linkages and forward dispersion across the EU Member States 
FMD of business 
FMD of business 
FMD of business 
FMD of business 
services; United 
Kingdom; 3,55 
FMD of business 
services; France; 
FL of business 
services; 
Netherlands; 
3,43 
FL of business 
services; France; 
services; 
Netherlands; 
FL of business 
services; United 
Kingdom; 0,76 
FMD of business 
services; Italy; 
FMD of business 
services; Finland; 
services; 
FMD of business 
services; Ireland; 
3,51 
FL of business 
services; Ireland; 
0,93 
0,88 
FL of business 
services; 
FMD of business 
services; Spain; 
FMD o3f, b56usiness 
FMD of business 
FMD of business 
services; Estonia; 
FMD of business 
services; Poland; 
FMD of business 
FMD of business 
services; Czech 
Republic; 3,37 
FMD of business 
services; 
FMD of business 
FMD of business 
Slovenia; 3,70 
Germany; 3,58 
3,37 
FL of business 
FL of business 
services; Finland; 
services; 
0,74 
FL of business 
services; 
Germany; 0,69 
3,61 
FMD of business 
services; Austria; 
services; 
services; 
3,45 
services; 
Portugal; 3,27 
FMD of business 
FMD services; 
of business 
services; Greece; 
FMD of business 
Hungary; 3,52 
3,37 
Denmark; 3,21 
Belgium; 3,19 
FL of business 
services; Italy; 
FL of business 
services; 
Slovenia; 0,63 
0,60 
FL of business 
services; 
Denmark; 0,53 
FL of business 
FL of business 
services; Poland; 
services; 
Belgium; 0,60 
0,54 
Portugal; 0,53 
FL of business services FMD of business services 
Source: own, based on Eurostat input-output tables. 
3,07 
FL of business 
FL of business 
services; Czech 
Republic; 0,43 
FL of business 
services; Estonia; 
Austria; 
0,51 
services; 
0,48 
services; 
Slovakia; 3,36 
Lithuania; 3,24 
3,20 
Romania; 3,03 
FL of business 
services; Spain; 
Hungary; 0,44 
3,48 
services; 
services; 
Sweden; 3,00 
FL of business 
0,43 
FL of business 
FL of business 
services; 
0,43 
FL of business 
FL of business 
services; 
Sweden; 0,41 
Greece; 
services; 
services; 
Romania; 0,32 
0,32 
Slovakia; 0,31 
Lithuania; 0,24 
Our research showed that weighted forward linkages of the business services sector are the 
strongest for the large economies of the EU Old Member States. In general, the lowest values 
were obtained for the New and Periphery Member States. Very interesting is the fact that 
interconnectedness of the business services sector is very weak in Sweden. Sweden with its 
very substantial manufacturing sector has both small and weakly interconnected business 
services. Outliers to our EU-geographical pattern are also Poland and Austria. Relatively high 
value of FL of the business services sector in Poland contrasts with relatively small value of 
this indicator for Austria. Nevertheless, the graph suggests that there is a strong correlation 
between the interconnectedness of business services and the development level of 
economies.
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
Values of FMD marked in the graph in Figure 9 give no straightforward evidence of any 
relationship between FMD and FL. Dispersion of forward linkages in European countries does 
not seem to follow any geographical pattern as well. Countries with most even business 
services as input providers are: Hungary, Italy, Slovenia and Spain. In Austria and Sweden 
values of FMD are the lowest. Further investigation showed that forward linkages of business 
services in Sweden are strongly dispersed across manufacturing industries, which affects the 
evenness of distribution of the business services input. In Austria dispersion is relatively 
uneven because of very significant linkages within business services. 
As shown in Table 1, FL of the business sector is not only significantly correlated with the level 
of GDP, which was suggested by Figure 9, but also with its share in value added, its 
contribution to value added growth and labour productivity. The fact that there is a strong 
correlation between FL and share in value added of the business services sectors results 
partially from the weighting scheme applied to the computation of forward linkages. The fact 
that the contribution to value added growth is positively linked with FL is in line with the 
correlation with GDP and labour productivity. It suggests that forward linkages of the business 
services sector could be an engine for growth of the sector and the entire economy. 
16 
Table 1. Forward linkages and forward dispersion across EU countries 
FL of business 
services 
FMD of business 
services 
Share in value added 
Contribution to value 
added growth 
Share of business 
services in export 
Labour productivity 
Wage gap 
GDP 
ICT 
FL of 
business 
services 
1 0.389 0.440(*) 0.608(*) 0.427 0.666(*) 0.276 0.642(*) -0.038 
FMD of 
business 
services 
0.389 1 0.110 0.263 -0.100 -0.127 0.761(*) -0.107 -0.184 
‘*’ – correlation significant at 0.05. Source: own.
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
We find that dispersion of forward linkages of the business services sector is not significantly 
related to the level of GDP4, share in value added5, ICT6 and contribution to value added 
growth7. Thus, we suspect that strength of business services as suppliers might be much more 
important for growth than evenness of its linkages. 
In searching for a pattern that drives diversification of the role of business services in EU we 
clustered 22 countries by the following grouping variables: (1) strength of forward linkages of 
business services, (2) their dispersion, (3) share of the sector in total output and (4) share in 
exports of goods and services. For the purpose of clustering we standardized all the attributes. 
We applied k-means clustering method with the algorithm that minimizes within-cluster 
Euclidean distance. Relatively low value of within-cluster sum of squared errors and high sum 
of squared errors between centres of clusters was obtained for taking into account four 
baskets. Moreover, we obtained groups of countries very even with respect to the number of 
classified instances. 
The first obtained clusters contains instances with the strongest values of forward linkages 
business sector (1.64 for the centre), most significant share of the sector in both market share 
(0.84) and exports (1.32). The centre of the cluster is Ireland; other countries within the cluster 
are France, Netherlands and the United Kingdom. The second group contains countries which 
stand out from the average with very strong dispersion of business services’ of forward 
linkages (0.99) and predominant role of business services in total output with respect to 
exports. The share in total output of business services is much above the EU average, whereas 
the share in the exports is much below. This group covers: Estonia, Spain, Italy, Hungary, 
Slovenia and Finland grouped in a cluster with the centre in Germany. The third cluster consists 
of: Austria, Belgium, Denmark and Portugal. These countries, on the contrary, stand out from 
the rest with the most significant dispersion of linkages of business services. As far as other 
attributes are concerned, these countries are very similar to the EU average. The fourth cluster 
is centred in Czech Republic and contains, with one exception, Periphery and New Member 
States such as: Greece, Lithuania, Poland, Romania, Slovakia and Sweden. These countries 
could be characterized with very low values of all included attributes of business services. 
Values of the standardized attributes for the centres of each cluster are reported in Appendix 
2. 
Figure 10 below presents a graphical visualization of clusters location, where each of the 
clusters is marked with a different colour. 
17 
4 Value of GDP per capita in PPP. 
5 Share of business services sector in county’s value added. 
6 Share of expenditures on ICT in country’s GDP. 
7 Growth in value added of business services to total value added growth.
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
18 
Figure 10. Location of clusters 
Source: own. 
Location of clusters exhibits a geographical and historical pattern. Countries with the most 
significant size and linkages are part of the core of the EU Member States located in North- 
West Europe. The cluster that groups countries with average size, low-exporter business 
sector concerns partially the core, partially large states in South Europe. Countries with 
average characteristics of the business sector form Cluster 3 and are spread in different parts 
of EU. The fourth cluster contains the Periphery and New Member States which could be 
characterized by the smallest business services sector in terms of its share in total output and 
exports. Business services sector in the fourth cluster is also weakly linked with downstream 
sectors. 
4. The link between linkages of business services and 
growth of value added 
4.1. Interpretation 
Understanding the difference between size and linkages of business services and their role in 
enhancing growth is central for a better targeted industrial policy. Share in value added of the 
sector that provides mainly intermediate input is suspected to be positively correlated with the 
value of forward linkages. In spite of this fact, we suspect that FL of business services is the
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
element that determines not only share of this industry in value added but also enhances 
contribution to the value added growth and growth of employment in business services. 
In Section 2 we showed that that the business services sector in recent years has been the 
main engine for growth in the EU Member States. In Section 4 with help of regression models 
we check if the role of business services in growth is affected by the fact companies are 
concentrated on their core activities and do not involve too much capacity in providing business 
services in-house. We suspect that the strong role of business services in the economy along 
with other growth determinants may explain the diversified contribution of the sector within EU. 
퐵푆 + 훿퐿푃푖 + 휀푖 (2) 
퐵푆 – growth of 
19 
4.2. Structure of the model 
In estimating our regression models we verified standard growth theories and role of business 
services by applying variables from a long list of theoretical growth determinants (of both 
contribution to value added and employment growth). Our dataset consisted of: share of 
business services in value added, FL of business services, its FMD, FL of R&D sector, ICT 
expenditures, ICT capital compensation within business services sector, labour productivity, 
unit labour costs and wage gap between professionals and unskilled workers. To comply with 
values of forward linkages other variables have been collected for the year 2005. Contribution 
to value added growth and growth of employment in the sample of 21 EU Member States was 
computed over the long time period, 1995-2005. 
Regression diagnostics showed that neither general expenditures on ICT and R&D nor high 
expenditure on ICT just in business services sector support the sector’s more intensive growth. 
This experiment was to check if “modern” capital intensive economies are subject of higher 
share in growth of business services. As growth of domestic outsourcing might be partially 
seen in growth of business services sector we test if labour costs, their structure and labour 
productivity might explain contribution of business services to value added. Indicators FL and 
FMD were chosen as growth determinants to check how current linkages determine future 
growth. In the end, regression diagnostics suggested the following specification of the models: 
퐵푆 
Δ푉퐴푖 
푡표푡푎푙 = 훼퐹퐿푖 
Δ푉퐴푖 
퐵푆 + 훽퐿푃푖 + 휀푖 (1) 
퐵푆 
Δ퐸푀푃퐿푖 
퐸푀푃퐿푖푡표푡푎푙 = 훾퐹퐿푖 
퐵푆 is value added growth in BS, Δ푉퐴푖푡표푡푎푙 is total value added growth, 퐹퐿푖 
Where Δ푉퐴푖 
퐵푆 is 
forward linkage of BS, 퐿푃푖 labour productivity in the entire economy, Δ퐸푀푃퐿푖 
employment in BS (in total hour worked) and 퐸푀푃퐿푖푡표푡푎푙 is total employment for the economy.
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
20 
Regression results are presented below. 
Table 2. Model’s specification 
Model 1 (contribution to VA growth): 
F (2, 19) = 74.77 
Prob > F =0.0000 
R-squared =0.8873 
Adjusted R-squared = 0.8754 
contr_va_gr Coef. Std. Err. P > |t| 
lproductivity 0.2179 0.0932 0.030 
flofBS 0.0033 0.0016 0.069 
Model 2 (employment growth): 
F(2,19) = 171.67 
Prob > F = 0.0000 
R-squared = 0.9476 
Adjusted R-squared = 0.9420 
contr_va_gr Coef. Std. Err. P > |t| 
lproductivity 0.0006 0.0001 0.002 
flofBS 0.0285 0.0101 0.069 
Source: own. 
4.3. Results 
The regression results confirm that there is a positive role of forward linkages of business 
services in explaining its contribution to value added growth and growth of employment. The 
current strength of business services as suppliers captured by forward linkages is important 
for future growth of this industry. Our analysis suggests that linkages rather than the share in 
value added define well future potential for this industry’s growth. The process of the selection 
of variables suggests that there is no clear role of R&D, ICT and unit labour costs in explaining 
the increasing role of business services. Advanced, capital intensive economies investing in 
information, communication technology and R&D do not experience higher share in growth of 
business services. On the other hand, high labour productivity that characterizes strong 
economies is an element explaining the increasing role of business services. These results 
advocate that there might be two channels for growth of business services. The first channel 
is due to labour productivity. The second reason for growth is the level of involvement of 
business services in providing input to all the sectors. 
The literature suggests numerous means of influencing labour productivity but also some ways 
of supporting industrial policy in order to strengthen forward linkages of the business services 
sector. Woelfl (2006) suggests that increase in interdependency of business services goes 
hand in hand with the increase in productivity. These results were partially confirmed in our 
research. We show that although there is a positive correlation between FL of business 
services and labour productivity – exogenous variables in or model, test VIF suggests
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
accepting such specification of the model. On the other hand labour productivity is related 
stronger to contribution to growth of the sector than to its forward linkages. 
According to Falk & Jarocińska (2006) stronger linkages might be an effect of structural change 
e.g. shift-out of subsistence agriculture, low skilled manufacturing and services. Policies 
supporting positive technological breakthrough and policy to improve labour productivity may 
support growth of the business services and entire economy. 
21
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
22 
Conclusions 
Our results indicate the fundamental role of business services as the main engine of growth in 
the European economy. Business services play more and more significant role across the EU 
but their strength in different countries is highly diversified. On the contrary, their growth 
appears to be driven by the same factors. We find that service-based growth is channelled 
mainly through increases in labour productivity and integration of services with downstream 
industries. On the other hand the role of physical capital including investment in ICT appear to 
be negligible. Investment in physical capital such as ICT equipment increases growth through 
impact on labour productivity. 
These results are consistent with common intuition. The growing importance of services 
simultaneously increases the role of knowledge, human and intangible capital. Altogether they 
affect the growth mainly through an increase in labour productivity. Skilled labour is required 
to produce services with high added value. It is also essential that such services use inputs 
from the other sectors. On the other hand, compared with the traditional growth models, our 
results show that the importance of physical capital decreases nowadays. Physical capital 
becomes additional to integrated solutions based on the knowledge essential in today’s 
production. 
In our paper we also showed the importance of integration of the services sector as measured 
by forward industry linkages. Increase in linkages with other sectors of services provides a 
larger diffusion of services as inputs in the economy. We argue that this process must be 
reflected in an increase in the share of services in value added growth. 
On the policy making level our results indicate that investment in human and intangible capital 
are crucial for the service-dominated economy. They not only enhance economic growth inside 
knowledge intensive services but also facilitate transmission of growth impulses to 
downstream industries by increasing diffusion and integration of services with the economy. 
Innovation policies inducing positive technological breakthrough may support growth of the 
business services and the entire economy as well.
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
23 
References 
van Ark, B., O’Mahony, M. and Timmer, M. (2008). The productivity gap between Europe and 
the U.S.: Trends and causes, Journal of Economic Perspectives , 22 (1), pp. 25-44. 
van Ark, B., Hao, J.X., Corrado, C., and Hulten, C. (2009). “Measuring intangible capital and 
its contribution to economic growth in Europe”. EIB Papers, (14:1), pp. 62-93. 
Bertschek, I., Engelstätter, B., Szczygielski, K. (2010). The Role of Information Technology 
For Service Sector Performance. SERVICEGAP Review Paper 3. 
Claus, I., Li, K. (2003). New Zealands Production Structure: An International Comparison. New 
Zealand Treasury Working Paper 03/16. 
Drejer, I. (2002). Input-Output Based Measures of Interindustry Linkages Revisited: A Survey 
and Discussion, Paper presented at the 14th International Conference on Input-Output 
Techniques, Montreal, Canada. 
Jarocinska, E. & Falk, M., (2010), Linkages between Services and Manufacturing in EU 
countries, SERVICEGAP Review Paper 1. 
Oosterhaven, J. & Temurshoev, U. (2011). On input-output linkage measures, SSRN. 
Roth, F., Thum, A., O'Mahony, M. (2010). Intangible Capital and Productivity Growth: A 
Literature Review with a Special Focus on the Service Industry. SERVICEGAP Review 
Paper 2. 
Soofi, A. (1992). Industry linkages, indices of variation and structure of production: An 
international comparison. Economic Systems Research 4(4): 349-375. 
Tregenna, F., (2008). The Contributions Of Manufacturing And Services To Employment 
Creation And Growth In South Africa, South African Journal of Economics, Economic Society 
of South Africa, vol. 76(s2), p. 175-206. 
Uppenberg, K., Strauss, H. (2010). Innovation and productivity growth in the EU services 
sector. European Investment Bank. 
Woelfl, A. (2006). The Interactions between Manufacturing and Services and its Role for 
Productivity Growth, Intermediate Input-Output Meeting on Sustainability, Trade & 
Productivity.
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
24 
Appendix 
Appendix 1. Derivation of FL and FMD 
The basic equation that links final (풚) and total (풙) output in the Leontief input-output model is 
presented below: 
풙 = (푰 − 푨)−ퟏ풚 = 푩풚 (3) 
푰 in the equation denotes identity matrix, 푨 stands for direct requirements matrix and 푩 is 
Leontief inverse. Unbiased forward linkage measure for industry j, weighted by values of final 
output and derived from the matrix equation above takes the form: 
푁푗 
퐹퐿푖 = Σ 푏푖푗 
=1 × 
푦푗 
푁푖 
Σ 푦푖 
=1 
(4) 
푁푗 
Where Σ 푏푖푗 
=1 stands for the j-row sum in Leontief inverse, 
푦푗 
푁푗 
Σ 푦푖 
=1 
is industry’s share in final 
output and 푁 is total number of industries. 
Equation depicting FMD measure goes as follows: 
퐹푀퐷푖 = [푁 (1 − Σ ( 
푏푖푗 
푁푗 
Σ 푏푖푗 
=1 
2 
) 
푁푗 
=1 )] 
1 
2 
(5) 
where 푏푖푗 denotes the (i-row, j-column) element of Leontief inverse and 푁 is total number of 
industries.
CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 
25 
Appendix 2. Clustering results 
Table 3. Clustering results: values of attributes for the clusters’ centres 
Business services 
attributes: 
Cluster 1 Cluster 2 Cluster 3 Cluster 4 
FL 1.6427 0.0203 0.0462 -0.9854 
FMD 0.5112 0.9985 -0.9437 -0.7514 
Share in export 1.3197 -0.3724 0.016 -0.3908 
Share in total 
output 
0.8407 0.4769 0.3155 -1.1376 
Source: own.

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CASE Network Studies and Analyses 455 - What Affects the Main Engine of Growth in the European Economy? Industrial Interconnectedness and Differences in Performance of Business Services Across the EU25.

  • 1. What Affects the Main Engine of Growth in the European Economy? Industrial Interconnectedness and Differences in Performance of Business Services Across the EU25
  • 2. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... Materials published here have a working paper character. They can be subject to further publication. The views and opinions expressed here reflect the author(s) point of view and not necessarily those of CASE Network. This report was prepared within a project entitled “The Impact of Service Sector Innovation and Internationalisation on Growth and Productivity” (SERVICEGAP). SERVICEGAP project is funded by the European Commission, Research Directorate General as part of the 7th Framework Programme, Theme 8: Socio-Economic Sciences and Humanities (Grant Agreement no: 244 552). The opinions expressed are those of the authors only and do not represent the European Commission's official position. Keywords: Industrial Linkages, Business Services, Growth, Multipliers, Input-Output JEL Codes: D57, L52, R15 © CASE – Center for Social and Economic Research, Warsaw, 2013 Graphic Design: Agnieszka Natalia Bury EAN 9788371785849 Publisher: CASE-Center for Social and Economic Research on behalf of CASE Network al. Jana Pawla II 61, office 212, 01-031 Warsaw, Poland tel.: (48 22) 206 29 00, 828 61 33, fax: (48 22) 206 29 01 e-mail: case@case-research.eu http://www.case-research.eu
  • 3. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 2 Contents Abstract ..................................................................................................................................................4 1. Introduction .....................................................................................................................................5 2. Service sector performance - an overview ..............................................................................6 2.1. Business services ...................................................................................................................9 2.2. Business services performance - country level ............................................................10 3. Descriptive analysis of industrial linkages in the EU .........................................................13 3.1. Theoretical background .......................................................................................................13 3.2. Data description .....................................................................................................................14 3.3. Results......................................................................................................................................15 4. The link between linkages of business services and growth of value added.............18 4.1. Interpretation ..........................................................................................................................18 4.2. Structure of the model .........................................................................................................19 4.3. Results......................................................................................................................................20 Conclusions ........................................................................................................................................22 References ..........................................................................................................................................23 Appendix ..............................................................................................................................................24
  • 4. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... Maciej Sobolewski, Dr Maciej Sobolewski obtained his PhD in economics from the University of Warsaw. His research interests include industrial organization, regulatory economics, access pricing and competition theory with particular focus on electronic markets, ICT technologies and innovation. From 2007 to 2011, he worked as a senior expert at Orange Labs, a France Telecom R&D Center. He has participated in numerous research projects regarding modeling of competition in markets, diffusion of innovation, spectrum auctions and social networks. Maciej Sobolewski is an Assistant Professor within the Department of Economics at the University of Warsaw. In 2011, he was appointed Vice President of CASE, where he is responsible, inter alia, for developing new research areas. Grzegorz Poniatowski is a Junior Economist at CASE and a PhD candidate at the Warsaw School of Economics. He holds a joint Master’s degree in Economics from the University of Paris-1 Pantheon-Sorbonne and the Autonomous University of Barcelona. He also completed an MA and BA in Quantitative Methods in Economic and Information Systems at the Warsaw School of Economics. His research interests include mathematical modeling, macroeconomics and mechanism design. 3
  • 5. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 4 Abstract The main purpose of this study is to determine what are the main factors which stand behind the diversity in performance of business services measured by their contribution to growth in the EU Member States. We show that in addition to typical growth factors which enhance labour productivity, also the extent of interconnectedness of business services with upstream industries is important to explain service-based economic growth. Our analysis yields two interesting results. Firstly, we show that patterns of industrial interconnectedness of business services are considerably diversified across the EU Member States indicating large differences in the integration of services as supplier with other sectors on a country level. Secondly we show that the diversified growth performance of business services across the EU25 countries can be explained by differences in labour productivity and differences in forward linkages. Our results indicate the fundamental role of business services as the main engine of growth in the European economy. This service-based growth is channelled mainly through increases in labour productivity and forward interconnectedness of services with downstream industries. On the policy making level our results indicate that investment in human and intangible capital are crucial for the service-dominated economy as they not only enhance economic growth inside knowledge intensive services but also facilitate transmission of growth impulses to downstream industries by increasing diffusion and integration of services as suppliers of high value added inputs to the economy.
  • 6. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 5 1. Introduction Over the last decade the service sector has gained a dominant impact on the European economy. Currently, economic growth in Europe is based largely on knowledge, human and intangible capital located in services. It is difficult to assess whether continuous increases in the share of services in economic growth will bring positive outcomes in the long term. Yet, there is no indication that this tendency of service based-growth will change in the foreseeable future. Increasing importance of services as the main part of economic growth implies that one should take a closer look at critical factors that lie behind the increase in the value added generated in the services. The wide literature on the topic stresses in particular the importance of human and intangible capital, which affect labour productivity - the main channel of growth in service sector (van Ark et al. 2008, Roth et al. 2010). The growth literature also confirms the importance of specific types of fixed tangible capital, in particular investment in ICT equipment (Uppenberg & Strauss, 2010, Bertschek et al. 2010). Recently, researchers have paid a lot of attention to the fact that growth based on services is related to the use of high value-added sectors of the economy vertically related to services sector (Jarocińska and Falck 2010). Therefore, not only the factors affecting the productivity of labour such as human and intangible capital, but also the degree to which services impact on other sectors should play a role in the growth model based on the economies driven by services. To date, the literature on sectoral relations is mainly descriptive (Soofi, 1992, Claus & Li 2003). However, it seems that in an economy with a dominant share in the growth of services, the degree of linkages with other sectors of services is in itself an important determinant of growth. Vertical sectorial links show the degree of integration of services with the rest of the economy – manufacturers and suppliers of factors of production with high added value. Greater degrees of services interlinkages, being for example a result of domestic outsourcing, changes the structure of the production factors. There is a growing demand for high value-added and knowledge-based human capital and decreasing importance of physical capital and raw materials. All these changes should be reflected in the structure of growth reflecting a greater share of the services sector in the creation of added value.
  • 7. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... This paper examines the determinants of the share of knowledge intensive services in growth of value added. Our goal is to examine whether the degree of cross-sectoral linkages of upstream services sectors is an important factor in explaining this increase. According to the intuition developed above, we expect that the growth of vertical linkages with other sectors of services is positively associated with the share of the services sector in the creation of value added growth. The rest of the paper is organized in the following way: Section 2 presents an overview of service sectors across the EU, showing overall importance for economic growth and cross-country differences in performance. In Section 3 we operationalize the idea of integration of services using industrial interconnectedness measures. We calculate forward linkages and forward dispersion indicators based on input-output data and describe patterns of interconnectedness based on cluster analysis. In section 4 we develop a simple econometric analysis to test for the relation between the level of vertical integration of business services and their growth performance. Section 5 concludes. 6 2. Service sector performance - an overview Many studies show that services play a dominant role as a driver of economic growth in the economy of the EU25. For example Uppenberg and Strauss (2010) indicate that with a few exceptions high-growth countries have mostly expanded on account of their services sectors, not manufacturing. Indeed looking at industrial data collected in the EU KLEMS database, the domination of services in economic performance is evident. In 2005 service sectors accounted for around two-thirds of total value added and for three-fourths of real value added growth in the decade to 2005.1 Consequently, share of manufacturing in value added creation has fallen well below one-fifth in 2005 and contribution to real value added growth has been only around ten percent over the decade to 2005 – see Figures 1 and 2. 1 All results presented in this section are own calculations on data on industrial performance from EU KLEMS Growth and Productivity Accounts Database. See http://www.euklems.net/
  • 8. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 7 Figure 1. Share in value added generated in the EU25 by industry Source: own, based on EU KLEMS database. Figure 2. Average value added growth rate; contribution to value added growth and contribution to employment growth in 1995-2005 by industry (real values from 1990) Source: own, based on EU KLEMS database. In terms of employment, the dominance of services is even more striking with 115% contribution to employment growth over the decade between 1995 and 2005. The major part of this growth was recorded in market-based services (73%) while the remaining 42% of the total employment growth in that period took place in public sector based services (sections L-Q). With few exceptions, manufacturing employment in most European countries has shrunk considerably by 33% over the decade preceding 2005 at EU25 level. Also other industries apart from services experienced a decrease in employment: agriculture by 6%, mining (4%) and energy supply (3%)– see Figure 2. Altogether the share of services in total employment in the EU25 increased over the decade from 51 to 56% - see Figure 3.
  • 9. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 8 Figure 3. Share in employment in the EU25 by industry Source: own, based on EU KLEMS database. Together with the dominant contributions to total value added and employment growth over the decade to 2005, services outperformed other sectors of the economy in terms of labour productivity, with one exception of electricity and gas supply (section E) which is a highly profitable industry due to high barriers to entry and inelastic demand. In 2005 the level of value added per hour of labour for market based services accounted for 55 EUR while for manufacturing one hour of labour brought about only 34 EUR of value added. The difference becomes smaller although still positive if we account also for public sector services which has very low productivity (only 11 EUR) due to considerably higher employment – see Figures 3 and 4. Figure 4. Value added per unit of labour (hour) in the EU25 by industry (real values from 1990) Source: own, based on EU KLEMS database.
  • 10. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... Essentially, services constitute quite heterogeneous conglomerates with large market based and public sector parts.2 Among market based services the largest one is section K which is the main focus of this paper. It groups services dedicated mainly for businesses such as real estate, machinery renting, computing and consultancy and hence in this paper will be called Business Services [BS]. We now turn to a brief overview of this specific and very important part of service industry. 9 2.1. Business services Data on business services industry performance clearly show that it has been the main engine of growth in the whole EU25 economy over the decade 1995-2005. In the years 1995-2005 total value added in EU25 economy grew on average by 2.5% per annum. At the same time all types of market based services achieved faster growth rates. The most rapid growth was recorded in transport and communications (5.3% p.a.) then in financial intermediation (4% p.a.) and then in business services (3.6% p.a). Manufacturing performed well below average growth rate (1.8% p.a.) – see Figure 2. One has to remember that compared to business services both transport and communication as well as financial intermediation are much smaller in terms of shares in total value added generation – see Figure 1. Thus looking only at the value added growth rates would lead to underestimation of true economic importance of business services. For a couple of reasons, overall economic importance of business services for the EU25 economy is undoubtedly the greatest. Firstly, business services section has the largest size measured by share in annual value added generation among all market based sections of the EU25 economy. In 2005 business services accounted for 21% share in value added while total manufacturing generated 17%, trade 10% and construction only 5% - see Figure 1. Only public sector services altogether had a larger contribution (24%). Secondly, business services had the largest contribution to total value added growth in the decade preceding 2005. This sector generated almost one third of the total growth, while manufacturing and trade contributed two times less and construction only by 3% – see Figure 2. Thirdly, contribution of business services to total employment growth over the decade has been also the largest (54% share), followed by trade sector (24%). In the same period several 2 According to NACE Rev. 1.1 services consist of 4 market based sections: Hotels and Restaurants (H), Transport Storage and Communication (I), Financial Intermediation (J), Real Estate, Renting and Business Activities (K) and public sector based sections (from L to Q) under joint heading Community Social and Personal Services.
  • 11. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... sectors experienced decrease in employment, largest in manufacturing (33%) and modest in agriculture (6%), mining (4%) and energy supply (3%). In terms of productivity measured by value added per unit of labour, business services were in the top three sectors after energy supply (102 EUR/hour) and financial services (66) with the indicative value of 62 EUR per hour. Productivity of labour in manufacturing was almost twice lower (33 EUR/hour) – see Figure 4. To understand better the role of business services we have further decomposed this sector. Figure 5. Business services by subindustry: share in value added in 2005, average value added growth rate, contribution to value added growth in 1995-2005 (real values from 1995) 10 Source: own, based on EU KLEMS database. Business services is composed of six subsections. Looking at Figure 5, the contributions to value added total growth in the decade 1995-2005 are well spread among subsections. Real estate, business consultancy and computer services were among top three contributors accounting together for 80% of value added growth. In terms of share in value added in 2005 the largest two subsections were real estate (50%) and business consultancy (22%). On the other hand computer related services was the fastest growing business services subsection in the decade (12% p.a.) – see Figure 5. 2.2. Business services performance - country level Business services are highly diversified among EU25 countries with respect to size and performance. This diversity has two dimensions. Firstly, there is huge gap in economic impact of business services between Old and New Member States, indicating substantial underdevelopment of this sector in EU10. Secondly the performance of the business services sector is much more diversified in New Member States then in EU15.
  • 12. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... Surprisingly, 92% of total EU25 value added in business services is generated in Old Member States. EU10 countries generate the remaining 8%. The leading countries of EU15 group are the large developed economies: Germany (23%), France (19%), UK (16%), Italy (13%) and Spain (6%) – see Figure 6. Among New Member States the largest contribution to EU25 value added has Poland (1.3%) although it is very low in comparison to abovementioned EU15 Members. Figure 6. Share of business services in value added generated in 2005 on the EU25-level by country 11 Source: own, based on EU KLEMS database. The size of the business services section differs quite substantially on a country level inside the EU25. The share of this section in value added in 2005 ranged from above 25% for Germany and France to less than 15% for Poland, Slovakia, Czech Republic, reaching the bottom in Lithuania (10%). Generally New Member States have lower size of business services then EU15 Member States (18 vis-a-vis 22%). On the other hand EU10 countries have substantially larger size of public sector services (31 vis-vis 18%). This is an apparent consequence of legacy inherited from times of command economy – see Figure 7.
  • 13. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... Figure 7. Share of business services in value added generated on a country-level in 2005 12 Source: own, based on EU KLEMS database. Similar observations can be drawn with respect to performance of business services, measured by contribution to total value added growth. In EU15 business services accounted for 29% of total value added growth in the decade to 2005 while in the EU10 the contribution was half of this (14%). Business services have the strongest impact on growth in Germany (50%), then in Belgium, Italy, UK and France (around 32%). Business services in Poland, Czech Republic, Slovakia and Greece have lowest growth contributions (less than 10%). Surprisingly Sweden has low performing business services with only 15% contribution – see Figure 8. Figure 8. Contribution of business services to value added growth and contribution to employment growth in 1995-2005 on a country-level (real values from 1990) Source: own, based on EU KLEMS database.
  • 14. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 13 3. Descriptive analysis of industrial linkages in the EU 3.1. Theoretical background For measuring the potential of spreading growth throughout the economy and grasping dependencies between down- and upstream sectors, the economic literature indicates a number of measures based on the Leontief input-output model (see e.g. Oosterhaven, J. & Temurshoev, U., 2010). Having a comprehensive picture of the flows of products and services in the economy in a given period of time allows for computing a variety of indicators measuring strength of particular industries either as demanders or as suppliers. Backward linkages stand for industries’ demand for products and services from upstream sectors. Thus, strength of this type of linkages is equivalent to power of a particular industry as a demander. Strong backward linkages suggest that emergence of a sector would result in a strong development of branches providing its input. This is why backward linkages create a channel of growth through increased investment or capacity utilization in other branches (see Tragenna, F., 2008). On the opposite side, following the idea that output is input determined, forward linkages with downstream sectors induce growth by providing more capacity for final producers. Strength of industry’s forward linkage, equivalent to power of industry as a supplier, suggests also that industry’s services and products are not delivered in significant values in-house in downstream sectors. In this research we concentrate on the suppliers’ side of the business services sector. As they are of particular importance because of their role to provide an input to other branches, we do not look at the secondary channel of growth through backward linkages. We limit our analysis to forward linkages and depend on the information that stays behind the value of total forward linkages measure (FL) weighted by industries’ share in final uses3. With the ceteris paribus assumption (i.e. shares and dependencies between branches stay constant), value of weighted total forward linkage for a particular industry informs what would happen to a given industry’s total output if the final output of all other branches were to increase by one unit. As FL and BL measure only strength of interconnectedness of sectors, they do not capture spread of industries’ input and output among other branches. For this purpose the literature 3 Final consumption expenditures, changes in value of inventories, gross capital formation and exports.
  • 15. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... indicates measures of dispersion (see Drejer, I., 2002). Backward measure of dispersion (BMD) is an indicator whose value informs about the spread of input from upstream industries. On the contrary, forward measure of dispersion (FMD) quantifies the spread of sectorial output regarded as an input to other industries. For explaining patterns and role of business services, whose main role is to serve as supplier to other industries, we use FMD. The extreme low value of FMD, which is 0, describes the situation when the sector provides input to only one industry. The extreme high value (√푁 − 1 , where N stands for the number of industries) defines the branch that supplies all the sectors with the products and services of the same value. Mathematical formulas of FL and FMD are based on a standard measure of industry concentration. Their derivations are presented in Appendix 1. 14 3.2. Data description Our computation of FL and FMD indicators was based on the last available product-by-product input-output tables estimated by Eurostat. After eliminating incomplete tables, the final dataset comprised of 22 tables for the year 2005, covering: Austria, Belgium, Czech Republic, Denmark, Germany, Estonia, Spain, Finland, France, Greece, Ireland, Italy, Lithuania, Hungary, Netherlands, Poland, Portugal, Sweden, Romania, Slovakia, Slovenia and United Kingdom. The original tables from Eurostat present flows of products and services across 59 branches classified according to the European Statistical Classification of Products by Activity, abbreviated as CPA. In order to obtain more aggregated results we build our own classification of 17 separate and consistent industries by accumulating more disaggregated Eurostat data. The obtained values of forward linkages and forward measures of dispersion are set together with: values of GDP, share of ICT in GDP, labour productivity, wage gap (between professionals and unskilled workers) and share of business services in exports and total output from Eurostat databases. We compute share of business services in value added and contribution to value added growth based on data from the EU KLEMS database.
  • 16. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 15 3.3. Results We obtain values of FL for 22 EU countries ranging significantly, from 0.24 to 0.93. It means that patterns of interconnectedness of business services are considerably diversified across the EU Member States. In order to increase final output, some European economies require three times more than other emergence of business services sector. In France, where we observed the strongest interconnection, total use of business services must increase by 0.93 EUR to enable growth in all the industries by one EUR. On the other hand, values of FMD range much less significantly ranging from 3 to 3.7. Values of both indicators – FL and FMD are presented in the graph below (Figure 9). Figure 9. Forward linkages and forward dispersion across the EU Member States FMD of business FMD of business FMD of business FMD of business services; United Kingdom; 3,55 FMD of business services; France; FL of business services; Netherlands; 3,43 FL of business services; France; services; Netherlands; FL of business services; United Kingdom; 0,76 FMD of business services; Italy; FMD of business services; Finland; services; FMD of business services; Ireland; 3,51 FL of business services; Ireland; 0,93 0,88 FL of business services; FMD of business services; Spain; FMD o3f, b56usiness FMD of business FMD of business services; Estonia; FMD of business services; Poland; FMD of business FMD of business services; Czech Republic; 3,37 FMD of business services; FMD of business FMD of business Slovenia; 3,70 Germany; 3,58 3,37 FL of business FL of business services; Finland; services; 0,74 FL of business services; Germany; 0,69 3,61 FMD of business services; Austria; services; services; 3,45 services; Portugal; 3,27 FMD of business FMD services; of business services; Greece; FMD of business Hungary; 3,52 3,37 Denmark; 3,21 Belgium; 3,19 FL of business services; Italy; FL of business services; Slovenia; 0,63 0,60 FL of business services; Denmark; 0,53 FL of business FL of business services; Poland; services; Belgium; 0,60 0,54 Portugal; 0,53 FL of business services FMD of business services Source: own, based on Eurostat input-output tables. 3,07 FL of business FL of business services; Czech Republic; 0,43 FL of business services; Estonia; Austria; 0,51 services; 0,48 services; Slovakia; 3,36 Lithuania; 3,24 3,20 Romania; 3,03 FL of business services; Spain; Hungary; 0,44 3,48 services; services; Sweden; 3,00 FL of business 0,43 FL of business FL of business services; 0,43 FL of business FL of business services; Sweden; 0,41 Greece; services; services; Romania; 0,32 0,32 Slovakia; 0,31 Lithuania; 0,24 Our research showed that weighted forward linkages of the business services sector are the strongest for the large economies of the EU Old Member States. In general, the lowest values were obtained for the New and Periphery Member States. Very interesting is the fact that interconnectedness of the business services sector is very weak in Sweden. Sweden with its very substantial manufacturing sector has both small and weakly interconnected business services. Outliers to our EU-geographical pattern are also Poland and Austria. Relatively high value of FL of the business services sector in Poland contrasts with relatively small value of this indicator for Austria. Nevertheless, the graph suggests that there is a strong correlation between the interconnectedness of business services and the development level of economies.
  • 17. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... Values of FMD marked in the graph in Figure 9 give no straightforward evidence of any relationship between FMD and FL. Dispersion of forward linkages in European countries does not seem to follow any geographical pattern as well. Countries with most even business services as input providers are: Hungary, Italy, Slovenia and Spain. In Austria and Sweden values of FMD are the lowest. Further investigation showed that forward linkages of business services in Sweden are strongly dispersed across manufacturing industries, which affects the evenness of distribution of the business services input. In Austria dispersion is relatively uneven because of very significant linkages within business services. As shown in Table 1, FL of the business sector is not only significantly correlated with the level of GDP, which was suggested by Figure 9, but also with its share in value added, its contribution to value added growth and labour productivity. The fact that there is a strong correlation between FL and share in value added of the business services sectors results partially from the weighting scheme applied to the computation of forward linkages. The fact that the contribution to value added growth is positively linked with FL is in line with the correlation with GDP and labour productivity. It suggests that forward linkages of the business services sector could be an engine for growth of the sector and the entire economy. 16 Table 1. Forward linkages and forward dispersion across EU countries FL of business services FMD of business services Share in value added Contribution to value added growth Share of business services in export Labour productivity Wage gap GDP ICT FL of business services 1 0.389 0.440(*) 0.608(*) 0.427 0.666(*) 0.276 0.642(*) -0.038 FMD of business services 0.389 1 0.110 0.263 -0.100 -0.127 0.761(*) -0.107 -0.184 ‘*’ – correlation significant at 0.05. Source: own.
  • 18. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... We find that dispersion of forward linkages of the business services sector is not significantly related to the level of GDP4, share in value added5, ICT6 and contribution to value added growth7. Thus, we suspect that strength of business services as suppliers might be much more important for growth than evenness of its linkages. In searching for a pattern that drives diversification of the role of business services in EU we clustered 22 countries by the following grouping variables: (1) strength of forward linkages of business services, (2) their dispersion, (3) share of the sector in total output and (4) share in exports of goods and services. For the purpose of clustering we standardized all the attributes. We applied k-means clustering method with the algorithm that minimizes within-cluster Euclidean distance. Relatively low value of within-cluster sum of squared errors and high sum of squared errors between centres of clusters was obtained for taking into account four baskets. Moreover, we obtained groups of countries very even with respect to the number of classified instances. The first obtained clusters contains instances with the strongest values of forward linkages business sector (1.64 for the centre), most significant share of the sector in both market share (0.84) and exports (1.32). The centre of the cluster is Ireland; other countries within the cluster are France, Netherlands and the United Kingdom. The second group contains countries which stand out from the average with very strong dispersion of business services’ of forward linkages (0.99) and predominant role of business services in total output with respect to exports. The share in total output of business services is much above the EU average, whereas the share in the exports is much below. This group covers: Estonia, Spain, Italy, Hungary, Slovenia and Finland grouped in a cluster with the centre in Germany. The third cluster consists of: Austria, Belgium, Denmark and Portugal. These countries, on the contrary, stand out from the rest with the most significant dispersion of linkages of business services. As far as other attributes are concerned, these countries are very similar to the EU average. The fourth cluster is centred in Czech Republic and contains, with one exception, Periphery and New Member States such as: Greece, Lithuania, Poland, Romania, Slovakia and Sweden. These countries could be characterized with very low values of all included attributes of business services. Values of the standardized attributes for the centres of each cluster are reported in Appendix 2. Figure 10 below presents a graphical visualization of clusters location, where each of the clusters is marked with a different colour. 17 4 Value of GDP per capita in PPP. 5 Share of business services sector in county’s value added. 6 Share of expenditures on ICT in country’s GDP. 7 Growth in value added of business services to total value added growth.
  • 19. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 18 Figure 10. Location of clusters Source: own. Location of clusters exhibits a geographical and historical pattern. Countries with the most significant size and linkages are part of the core of the EU Member States located in North- West Europe. The cluster that groups countries with average size, low-exporter business sector concerns partially the core, partially large states in South Europe. Countries with average characteristics of the business sector form Cluster 3 and are spread in different parts of EU. The fourth cluster contains the Periphery and New Member States which could be characterized by the smallest business services sector in terms of its share in total output and exports. Business services sector in the fourth cluster is also weakly linked with downstream sectors. 4. The link between linkages of business services and growth of value added 4.1. Interpretation Understanding the difference between size and linkages of business services and their role in enhancing growth is central for a better targeted industrial policy. Share in value added of the sector that provides mainly intermediate input is suspected to be positively correlated with the value of forward linkages. In spite of this fact, we suspect that FL of business services is the
  • 20. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... element that determines not only share of this industry in value added but also enhances contribution to the value added growth and growth of employment in business services. In Section 2 we showed that that the business services sector in recent years has been the main engine for growth in the EU Member States. In Section 4 with help of regression models we check if the role of business services in growth is affected by the fact companies are concentrated on their core activities and do not involve too much capacity in providing business services in-house. We suspect that the strong role of business services in the economy along with other growth determinants may explain the diversified contribution of the sector within EU. 퐵푆 + 훿퐿푃푖 + 휀푖 (2) 퐵푆 – growth of 19 4.2. Structure of the model In estimating our regression models we verified standard growth theories and role of business services by applying variables from a long list of theoretical growth determinants (of both contribution to value added and employment growth). Our dataset consisted of: share of business services in value added, FL of business services, its FMD, FL of R&D sector, ICT expenditures, ICT capital compensation within business services sector, labour productivity, unit labour costs and wage gap between professionals and unskilled workers. To comply with values of forward linkages other variables have been collected for the year 2005. Contribution to value added growth and growth of employment in the sample of 21 EU Member States was computed over the long time period, 1995-2005. Regression diagnostics showed that neither general expenditures on ICT and R&D nor high expenditure on ICT just in business services sector support the sector’s more intensive growth. This experiment was to check if “modern” capital intensive economies are subject of higher share in growth of business services. As growth of domestic outsourcing might be partially seen in growth of business services sector we test if labour costs, their structure and labour productivity might explain contribution of business services to value added. Indicators FL and FMD were chosen as growth determinants to check how current linkages determine future growth. In the end, regression diagnostics suggested the following specification of the models: 퐵푆 Δ푉퐴푖 푡표푡푎푙 = 훼퐹퐿푖 Δ푉퐴푖 퐵푆 + 훽퐿푃푖 + 휀푖 (1) 퐵푆 Δ퐸푀푃퐿푖 퐸푀푃퐿푖푡표푡푎푙 = 훾퐹퐿푖 퐵푆 is value added growth in BS, Δ푉퐴푖푡표푡푎푙 is total value added growth, 퐹퐿푖 Where Δ푉퐴푖 퐵푆 is forward linkage of BS, 퐿푃푖 labour productivity in the entire economy, Δ퐸푀푃퐿푖 employment in BS (in total hour worked) and 퐸푀푃퐿푖푡표푡푎푙 is total employment for the economy.
  • 21. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 20 Regression results are presented below. Table 2. Model’s specification Model 1 (contribution to VA growth): F (2, 19) = 74.77 Prob > F =0.0000 R-squared =0.8873 Adjusted R-squared = 0.8754 contr_va_gr Coef. Std. Err. P > |t| lproductivity 0.2179 0.0932 0.030 flofBS 0.0033 0.0016 0.069 Model 2 (employment growth): F(2,19) = 171.67 Prob > F = 0.0000 R-squared = 0.9476 Adjusted R-squared = 0.9420 contr_va_gr Coef. Std. Err. P > |t| lproductivity 0.0006 0.0001 0.002 flofBS 0.0285 0.0101 0.069 Source: own. 4.3. Results The regression results confirm that there is a positive role of forward linkages of business services in explaining its contribution to value added growth and growth of employment. The current strength of business services as suppliers captured by forward linkages is important for future growth of this industry. Our analysis suggests that linkages rather than the share in value added define well future potential for this industry’s growth. The process of the selection of variables suggests that there is no clear role of R&D, ICT and unit labour costs in explaining the increasing role of business services. Advanced, capital intensive economies investing in information, communication technology and R&D do not experience higher share in growth of business services. On the other hand, high labour productivity that characterizes strong economies is an element explaining the increasing role of business services. These results advocate that there might be two channels for growth of business services. The first channel is due to labour productivity. The second reason for growth is the level of involvement of business services in providing input to all the sectors. The literature suggests numerous means of influencing labour productivity but also some ways of supporting industrial policy in order to strengthen forward linkages of the business services sector. Woelfl (2006) suggests that increase in interdependency of business services goes hand in hand with the increase in productivity. These results were partially confirmed in our research. We show that although there is a positive correlation between FL of business services and labour productivity – exogenous variables in or model, test VIF suggests
  • 22. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... accepting such specification of the model. On the other hand labour productivity is related stronger to contribution to growth of the sector than to its forward linkages. According to Falk & Jarocińska (2006) stronger linkages might be an effect of structural change e.g. shift-out of subsistence agriculture, low skilled manufacturing and services. Policies supporting positive technological breakthrough and policy to improve labour productivity may support growth of the business services and entire economy. 21
  • 23. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 22 Conclusions Our results indicate the fundamental role of business services as the main engine of growth in the European economy. Business services play more and more significant role across the EU but their strength in different countries is highly diversified. On the contrary, their growth appears to be driven by the same factors. We find that service-based growth is channelled mainly through increases in labour productivity and integration of services with downstream industries. On the other hand the role of physical capital including investment in ICT appear to be negligible. Investment in physical capital such as ICT equipment increases growth through impact on labour productivity. These results are consistent with common intuition. The growing importance of services simultaneously increases the role of knowledge, human and intangible capital. Altogether they affect the growth mainly through an increase in labour productivity. Skilled labour is required to produce services with high added value. It is also essential that such services use inputs from the other sectors. On the other hand, compared with the traditional growth models, our results show that the importance of physical capital decreases nowadays. Physical capital becomes additional to integrated solutions based on the knowledge essential in today’s production. In our paper we also showed the importance of integration of the services sector as measured by forward industry linkages. Increase in linkages with other sectors of services provides a larger diffusion of services as inputs in the economy. We argue that this process must be reflected in an increase in the share of services in value added growth. On the policy making level our results indicate that investment in human and intangible capital are crucial for the service-dominated economy. They not only enhance economic growth inside knowledge intensive services but also facilitate transmission of growth impulses to downstream industries by increasing diffusion and integration of services with the economy. Innovation policies inducing positive technological breakthrough may support growth of the business services and the entire economy as well.
  • 24. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 23 References van Ark, B., O’Mahony, M. and Timmer, M. (2008). The productivity gap between Europe and the U.S.: Trends and causes, Journal of Economic Perspectives , 22 (1), pp. 25-44. van Ark, B., Hao, J.X., Corrado, C., and Hulten, C. (2009). “Measuring intangible capital and its contribution to economic growth in Europe”. EIB Papers, (14:1), pp. 62-93. Bertschek, I., Engelstätter, B., Szczygielski, K. (2010). The Role of Information Technology For Service Sector Performance. SERVICEGAP Review Paper 3. Claus, I., Li, K. (2003). New Zealands Production Structure: An International Comparison. New Zealand Treasury Working Paper 03/16. Drejer, I. (2002). Input-Output Based Measures of Interindustry Linkages Revisited: A Survey and Discussion, Paper presented at the 14th International Conference on Input-Output Techniques, Montreal, Canada. Jarocinska, E. & Falk, M., (2010), Linkages between Services and Manufacturing in EU countries, SERVICEGAP Review Paper 1. Oosterhaven, J. & Temurshoev, U. (2011). On input-output linkage measures, SSRN. Roth, F., Thum, A., O'Mahony, M. (2010). Intangible Capital and Productivity Growth: A Literature Review with a Special Focus on the Service Industry. SERVICEGAP Review Paper 2. Soofi, A. (1992). Industry linkages, indices of variation and structure of production: An international comparison. Economic Systems Research 4(4): 349-375. Tregenna, F., (2008). The Contributions Of Manufacturing And Services To Employment Creation And Growth In South Africa, South African Journal of Economics, Economic Society of South Africa, vol. 76(s2), p. 175-206. Uppenberg, K., Strauss, H. (2010). Innovation and productivity growth in the EU services sector. European Investment Bank. Woelfl, A. (2006). The Interactions between Manufacturing and Services and its Role for Productivity Growth, Intermediate Input-Output Meeting on Sustainability, Trade & Productivity.
  • 25. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 24 Appendix Appendix 1. Derivation of FL and FMD The basic equation that links final (풚) and total (풙) output in the Leontief input-output model is presented below: 풙 = (푰 − 푨)−ퟏ풚 = 푩풚 (3) 푰 in the equation denotes identity matrix, 푨 stands for direct requirements matrix and 푩 is Leontief inverse. Unbiased forward linkage measure for industry j, weighted by values of final output and derived from the matrix equation above takes the form: 푁푗 퐹퐿푖 = Σ 푏푖푗 =1 × 푦푗 푁푖 Σ 푦푖 =1 (4) 푁푗 Where Σ 푏푖푗 =1 stands for the j-row sum in Leontief inverse, 푦푗 푁푗 Σ 푦푖 =1 is industry’s share in final output and 푁 is total number of industries. Equation depicting FMD measure goes as follows: 퐹푀퐷푖 = [푁 (1 − Σ ( 푏푖푗 푁푗 Σ 푏푖푗 =1 2 ) 푁푗 =1 )] 1 2 (5) where 푏푖푗 denotes the (i-row, j-column) element of Leontief inverse and 푁 is total number of industries.
  • 26. CASE Network Studies & Analyses No.455 – What Affects the Main Engine of Growth in the ... 25 Appendix 2. Clustering results Table 3. Clustering results: values of attributes for the clusters’ centres Business services attributes: Cluster 1 Cluster 2 Cluster 3 Cluster 4 FL 1.6427 0.0203 0.0462 -0.9854 FMD 0.5112 0.9985 -0.9437 -0.7514 Share in export 1.3197 -0.3724 0.016 -0.3908 Share in total output 0.8407 0.4769 0.3155 -1.1376 Source: own.