Territorial disparities in the labour market:
An analysis applied to the Portuguese municipalities
by
Ana Sofia Mesquita Silvano Vaz
Dissertation for the degree of Master in Human Resource Management
from the School of Economics and Management at
the University of Porto
Supervised by:
Maria Manuel Pinho
September, 2014
i
Short biography
Ana Sofia Mesquita Silvano Vaz was born on the 9th
of August of 1988, in
Porto, Portugal.
After getting a degree in Economics, from the School of Economics and
Management, at the University of Porto, Ana was enrolled in the Master in Human
Resource Management, from the same school, in 2012. After completing the academic
part, she started working on her dissertation project.
Professionally, alongside the final year of bachelor, Ana undertook a traineeship
in Human Resources, at the firm Randstad, which fostered the curiosity to deepen the
knowledge in the area and, consequently, the enrolment in the masters mentioned
above. Since May 2013, Ana integrates the customer service department in the company
Microdigital Lda, providing support to accounting and management firms in the area of
payroll, billing and accounting.
ii
Abstract
In the present research work, we sought to deepen the theme of the local labour
markets, regarding their specificities, such as commuting, skills mismatch and the
output-unemployment relationship. This study is crucial, since the sustainable and
balanced development, among different regions and labour markets of a country, is only
possible through the knowledge of these peculiarities of the local labour markets, which
allow the delineation of educational, economic and social policies, adapted to each case.
The aim of this thesis was also to deepen the results of the 2011 Census taking
into consideration that, in Portugal, the ageing population and the desertification of the
inner areas, together with the polarization of the metropolitan areas located on the coast,
are the main challenges to a sustainable economic development, at the regional level.
Through a factor and a cluster analysis it was possible to group the Portuguese
municipalities into homogeneous groups, concluding on topics such as demographic
sustainability, attractiveness, commuting, qualification, school leaving and integration
of foreign population, on a municipal scale, and so on territorial specificities regarding
local labour markets in Portugal.
Keywords: human capital, labour force, local labour market, mobility, skills mismatch,
output-unemployment relation, factor analysis, clusters analysis
JEL Codes: C38, J24, J49, J61
iii
Resumo
No presente trabalho de investigação, procurou-se aprofundar a temática dos
mercados de trabalho locais, ao nível das suas especificidades, como a mobilidade, a
desadequação de competências e a relação produto-desemprego. Este estudo é crucial
uma vez que a garantia de um desenvolvimento sustentável e equilibrado entre as
diferentes regiões e mercados de trabalho de um país só será possível através do
conhecimento dessas particularidades dos mercados de trabalho locais, que permitirão a
delineação de políticas de natureza educativa, económica e social, adaptadas a cada
caso.
O objectivo desta tese foi também aprofundar os resultados obtidos com o
momento censitário de 2011, tendo em consideração que, em Portugal, o
envelhecimento da população e a desertificação das regiões interiores, a par com a
polarização das áreas metropolitanas localizadas no litoral, são os principais desafios
que se colocam ao desenvolvimento económico sustentado ao nível regional.
Através de uma análise fatorial e de uma análise de clusters, foi possível agrupar
os municípios portugueses em grupos homogéneos, concluindo sobre temáticas como a
sustentabilidade demográfica, a atratividade, a mobilidade, a qualificação, o abandono
escolar e a integração de população estrangeira à escala municipal e, consequentemente,
sobre as especificidades dos mercados de trabalho locais em Portugal.
Palavras-chave: capital humano, força de trabalho, mercado de trabalho local,
mobilidade, desadequação de competências, relação produto-desemprego, análise
fatorial, análise de clusters
Códigos JEL: C38, J24, J49, J61
iv
Table of contents
Introduction ....................................................................................................................... 1
1. Labour force and human capital ................................................................................... 3
2. Local labour markets .................................................................................................... 7
2.1. Notion and definitions ...................................................................................... 7
2.2. The challenges of local labour markets ............................................................. 9
2.2.1. Labour mobility ........................................................................................... 11
2.2.2. Skills mismatch ............................................................................................ 12
2.2.3. The output-unemployment relation .............................................................. 14
3. The literature on the Portuguese labour markets........................................................ 16
4. An empirical assessment of the Portuguese labour markets ...................................... 19
4.1. Data and variables ........................................................................................... 19
4.2. Factor analysis ................................................................................................. 25
4.3. Cluster analysis ................................................................................................ 47
5. Conclusions and future developments ....................................................................... 53
References ....................................................................................................................... 56
Appendix. Cluster membership table .............................................................................. 61
v
List of Tables
Table 1. List of the selected indicators ........................................................................... 20
Table 2. Linear correlation matrix .................................................................................. 24
Table 3. KMO and Bartlett’s test .................................................................................... 26
Table 4. Communalities .................................................................................................. 27
Table 5. Total variance explained matrix ....................................................................... 28
Table 6. Rotated component matrix ................................................................................ 30
Table 7. Component score coefficient matrix ................................................................. 46
Table 8. Number of cases in each cluster ....................................................................... 48
Table 9. ANOVA ............................................................................................................ 50
Table 10. Final cluster centres ........................................................................................ 50
List of figures
Figure 1. Scree plot ......................................................................................................... 29
Figure 2. Demographic sustainability: highest and lowest values .................................. 32
Figure 3. Demographic sustainability per municipality .................................................. 33
Figure 4. Attractiveness: highest and lowest values ....................................................... 34
Figure 5. Attractiveness per municipality ....................................................................... 35
Figure 6. Qualification: highest and lowest values ......................................................... 37
Figure 7. Qualification per municipality ......................................................................... 38
Figure 8. Commuting: highest and lowest values ........................................................... 39
Figure 9. Commuting per municipality........................................................................... 40
Figure 10. School leaving: highest and lowest values .................................................... 41
Figure 11. School leaving per municipality .................................................................... 42
Figure 12. Foreign population: highest and lowest values ............................................. 43
Figure 13. Foreign population per municipality ............................................................. 44
Figure 14. Cluster membership per municipality ........................................................... 49
1
Introduction
Human capital includes the knowledge and the skills of an employee, acquired
through education, training or experience at work and has a crucial role in the
production of economic value. Moreover, the aggregate level of human capital has a
major contribution to the productivity of the other factors of production. The investment
in human capital is, in this sense, fundamental to increase the productivity and hence
economic growth.
The main objective of this research work is to provide an assessment of the
specific problems of local labour markets in Portugal, at the municipality level. The
main problems faced by local labour markets are the absence of mobility (although the
mobility of the human resources tends to be more intense among the regions of a given
country than between regions of different countries taking into account that the
administrative and cultural barriers do not assume such importance locally) which,
together with the mismatch of skills, actively contributes to the existence of another
recurring problem in this type of market: unemployment.
This thesis is organized as follows. Sections 1, 2 and 3 present a literature
review on the main specific challenges faced by local labour markets that are pinpointed
within the literature. The literature review is based on work from national authors
complemented with studies by Statistics Portugal and studies of foreign authorship.
In this sense, Section 1 discusses the relevance of the investment in human
capital to the economic activity growth and enumerates some of the possibilities of
measuring the contribution of the labour force to production. The second section is
dedicated to the definition and specificities of local labour markets, like the mobility,
the skills mismatches and the relation between output and unemployment. Section 3
enumerates some of the territorial characteristics in Portugal that are relevant to the
empirical study carried out in Section 4. Regarding the empirical part, developed in
Section 4, we proceed to the analysis of 30 indicators with the aim of discovering the
latent problems in labour markets at the municipal level in Portugal. For this study we
use data obtained from the 2011 Census. This section provides an analysis of a set of
indicators that portray the Portuguese labour market, in relation to aspects such as the
commuting that occur between local labour markets, academic qualification and
2
economic activity. In order to carry out this study, we develop a factor analysis on the
set of indicators and then a cluster analysis. Finally, we draw some conclusions about
the work developed and present future lines of work and investigations that may be
explored.
3
1. Labour force and human capital
Taking as a starting point the definition of labour, it can be said that it
represents, in an economic perspective, a productive factor through which goods and
services are produced. According to Sakalas and Liepė (2011: 900), human capital is, in
a qualitative perspective, the “accumulation of knowledge, acquirement of appropriate
skills, special abilities and competence for employees, all of which is the engine of
country's economic growth, creating a competitive advantage”. In a quantitative
approach, human capital can be reflected in labour force and labour productivity. The
labour force, according to Bandeira (2006: 14), “is determined each time by the
qualifications of the assets available to work in various sectors and occupations” and
labour productivity is represented by the amount of goods produced per unit of labour
(for example, a worker or an hour of work).
From the worker’s perspective, the investment in human capital increases his
productive value, and consequently increases the probability of finding a job and
receiving a higher wage, once that “being the education system the main instrument to
qualification and education, the levels of education and schooling of the population (...)
constitute a key in economic output” (Bandeira, 2006: 14). From the point of view of
the firm, the realization of this investment brings benefits mainly in productivity, which
could mean an increase in the competitiveness. In this sense, the investment in human
capital is the first step to enter into the labour market once it raises the labour force
productivity and creates a competitive advantage for workers. At the same time, several
theories point to the close relationship between human capital accumulation and
productivity growth. Maason, O'leary and Vecchi (quoted in Olimpia, 2012: 326)
concluded that human capital has a positive effect in productivity growth, especially
when high-skilled labour is used. Some studies, such as the one developed by De La
Fuente (2011), highlight the importance of investing in education to the productivity
growth. Becker (1993) developed the human capital theory which explains the level of
the labour productivity by the level of education of the workers. Other authors also
consider a complementary relationship between human capital accumulation and labour
productivity Olimpia (2012) conducted a study in the European economies that
estimates the human capital stock based on different levels of educational costs
4
concluding that labour productivity has a positive correlation with the human capital
stock for these countries (for instance, the change in labour productivity can be
explained in a proportion between 85% and 95% by the change in human capital stock,
considering the other factors constant).
So far, we discussed the labour force in a qualitative approach, so the following
paragraphs seek to determine how it should be measured in a quantitative dimension.
According to Borjas (2013), labour force can be given by the set of employed and
unemployed people in the market and its participation rate can be split, according to
Bandeira (2006), between gross rate and the global rate. The first measure is the ratio of
the labour force (total employed and unemployed) and the total population, while the
global rate is obtained by considering only the active population (formed by the group
of employed and unemployed people that are available to work, or in other words, that
actively seek work) and is therefore a more concise indicator. Once the stock of labour
is a broad concept, which involves several dimensions and a complex composition,
labour force cannot be consider as a homogeneous factor of production. In this context,
labour productivity can be measured in different ways.
The starting point is setting the statistical way to measure labour productivity
through some indicators like output per unit of labour input. The output reflects the
goods or services produced by the workforce and the input considers the team, skills
and effort of it.
The Organisation for Economic Co-operation and Development (OECD)
proposes two different perspectives to measure labour productivity (Freeman, 2008).
The first one is the OECD Productivity Database, which is an annual publication of
labour productivity growth for the OECD countries, where the labour productivity is
measured in hours (ratio between real GDP at constant prices and the hours worked).
The second perspective is developed by the OECD System of Unit Labour Cost and
Related Indicators and measures the contribution of labour to the production by the
costs approach. The unit labour costs are measured by the quotient of total labour costs
and real output. The number of hours worked is more used because it is a more precise
indicator for the calculation of productivity that may even serve for the purposes of
5
international comparison of the contribution of labour to productivity and economic
growth, although more difficult to measure.
These alternative measures not only allow for the monitoring of the evolution of
labour force but also for the consideration of the effect of the part-time work, which is a
very important way of work nowadays.
A study for France, in the period between 1987 and 1998, where labour
productivity was measured using different methods, concluded that the productivity,
based on the total hours worked, rises faster than when other methods are used
(Schreyer and Pilat, 2001).
Despite being the perspective with more precision to measure the workforce, it
also has disadvantages: beyond the calculation complexity that this method requires,
since it focuses on the number of hours worked, this approach is also limited because it
does not reflect the qualitative dimension of work that is related to the skills present in
the workforce (Schreyer and Pilat, 2001).
In Portugal, the official measure of the employed, active and inactive population
is provided by the Labour Force Survey, which is published by Statistics Portugal on a
quarterly basis, through a combination of direct and telephone interview, from a
representative sample of the population (Teixeira et al., 2012). At the same time, the
National Accounts System seeks to bring together a range of relevant indicators, which
includes, among other aspects of economic activity, the employment. In the group of the
National Accounts’ macroeconomic aggregates, there is a section dedicated to
employment, where we can find indicators as the number of jobs, the number of
employed individuals, the full-time equivalent number of employed individuals and the
number of hours worked.
After analyzing the different methods to assess the workforce, and since it is not
recommended to measure the contribution of labour to production by counting the total
number of employees in the market, since it does not reflect the work time per person
employed and not even the multiple job holding or the quality of labour (Schreyer and
Pilat, 2001), the ideal would be to use two complementary methods of measurement
that consider firstly the existence of intangible factors such as the skills of the workers
and other numeric variables like the hours actually worked.
6
Considering that the labour market is increasingly divided into local labour
markets, with specific characteristics and problems, it is important to study how this
subdivision can contribute to the market equilibrium, where demand for labour
promoted by employers equals the labour supply of workers.
7
2. Local labour markets
2.1. Notions and definitions
Christaller (quoted in Rushton, 1971: 140) developed, in 1933, the theory of
central places, which seeks to explain the distribution pattern, size and number of
existing towns and cities, whereas they exist for purely economic grounds and are
distributed spatially following a homogeneous pattern. The result of the proposed theory
is the assumption of a space where people exchange goods and services (Cabugueira,
2000). Taking the theory developed by Christaller as an inspiration, the labour market
can be divided spatially.
The spatial division of labour is, according to Rodrigues (quoted in Campos,
1995: 130-131), related to “growing movements of capital relocation” which is
facilitated by “the strengthening of infrastructure of transportation and communication”,
since it is a function of “the qualifications of the workforce labour available in each
region”, which explains in part the differences in development between regions.
According to Cabugueira (2000), the causes for the differences in development between
regions can be primary, of which the lack of mobility of the production factors (labour
and capital), the economic structure of the region and its location are examples, and
secondary, such as demographics aspects and the existence of external economies.
Labour markets may be national or local, with these last ones interacting for
different qualifications and skills. In this sense, Weller (2007) highlights the
multidimensional and multi-scale character of labour markets, considering the existence
of multiple markets, classified as inherently “local”. In these, the cultural and social
differences affect the way markets are regulated, particularly with regard to labour
market policies. This aspect goes according to the argument defended by Green and
Owen (cited in Campbell, 2000: 658), who consider that the specificities regarding the
nature and extent of local markets gives rise to the need to formulate specific policies in
order to attract / retain employees with the required skills. According to Adams et al.
(2000: 2), “national policies may be effective at reducing the level of unemployment
nationally, but they do not take into account the diverse nature of local labour markets”.
In order to reduce potential inter-regional disparities in the labour market, there are two
8
categories of employment policies: active policies and passive policies. Passive
employment policies are directly related to the scourge of unemployment, and consist
mainly in the allocation of unemployment benefits as a source of income during the
search for a new job (Centeno and Novo, 2008).
The active labour market policies are related, as noted, by OECD (Martin, 2000)
to the public employment services and administration (including job placement and
administering unemployment benefits) and the labour market training. The labour
market training has two dimensions: the first one includes training for the unemployed
and the second training for employed adults (Martin, 2000). Active labour market
policies also play a facilitating role with regard to mobility between local labour
markets, promoting a better connection between supply and demand for labour and
mitigating negative aspects of transition such as the rigidity of the housing market. At
the international level, the public service of local employment is also addressed in the
“LEED Programme” (OECD, 2013) that supports the implementation of public policies
to encourage entrepreneurship and self-employment and to attract emerging industry
sectors for the region in question. In general, “the regulation of the labour market
should be designed in order to facilitate the adjustment of employment to economic
conditions for business, and to protect workers from unexpected fluctuations in income
during periods of unemployment” (Centeno and Novo, 2012: 8).
All the settings above about the labour market refer to its division into local
markets, so it is also important to present some of their meanings. Goodman (1970)
presents a definition of local labour market considering that in this type of market the
geographic distribution of demand and supply of labour is different: the demand for
labour can be expressed by the location of workplaces and supply by the location of
residential areas. Moretti (2010) proposes a model of balance of local labour market
where firms and workers have freedom of movement between markets, but with the
condition that labour has finite mobility, limiting the elasticity of local labour market
supply. According to Goldner (1955), the supply of labour also depends on the location
of the workers preferences, which in turn depend on the time of travel between home
and work and on the leisure time.
9
Kerr (quoted in Goodman, 1970: 182) defines the local labour market as an
“area of indistinct geographical and occupational limits within which certain workers
customarily seek to offer their services and certain employers to hire them”.
Hunter and Reid (quoted in Goodman, 1970: 182) consider the local labour
market as “a geographical area located around a central city (or cities a few kilometres
away) where there is a concentration of demand for labour and where workers can
change their jobs without changing residence”.
Robinson (quoted in Goodman, 1970: 183) considers a definition of the labour
market by the employer's perspective: “geographical area containing those members of
the labour force, or potential members of the labour force that a firm can induce to enter
its employ under certain conditions, and those other employers with whom the firm is in
competition for labour”.
The definition of the labour market at a local level is related to certain issues
that do not arise so clearly in an analysis at the national level. In the following section,
we try to address some of these specificities that should be taken into account, in the
design of the local labour market policies, in order to minimize its negative effects.
2.2. The challenges of local labour markets
Considering the definitions of local labour market mentioned previously, there
are certain characteristics in its nature that are worthwhile to discuss. Firstly, its name
“local” refers to a peculiarity of this market: the spatial segmentation. According to
Centeno and Novo (2012: 1), segmentation in a general way is “the result of constraints
that depart the labour market from an efficient balance (...) where workers and
employers come together to maximize productivity and where the equilibrium wage
promotes productivity growth”. Once the segmentation of labour market means a
subdivision in local markets, Weller (2007) considers that this phenomenon has social,
technical and spatial character, allowing the description of workers and jobs, as well as
the relationships established between them in these different markets.
Topel (1986) reports another specificity: the sensitivity of wages to local market
conditions. The author considers that an increase in the local demand for labour raises
10
wage levels in that locality and also that wages are more flexible in response to
temporary changes in local market conditions than to permanent changes.
As issues of local labour markets, Campbell (2000) highlights the phenomenon
of localized long-term unemployment and located unequal employment growth. Jackson
and Jones (1973) also address both the problem of local unemployment and wage levels
in these markets, whereas the relationship between the two variables is influenced by
changes in the spatial dimension of the labour market and the elasticity of labour in
what concerns to its adaptability to other occupations due to the economic conditions,
which often cause the need to change jobs. The authors believe that the unemployment
rates observed in certain geographical areas also reflect the economic conditions of a
country, with the wage changes observed in the different phases of an economic cycle
affecting primarily sectors such as manufacturing, which are more cycle sensitive. The
activity sectors are also referred by Cabugueira (2000) once, if the local market operates
in sectors that are stagnating or declining, the unemployment will be a reality and the
wages will decrease. The degree of mobility of capital and labour may be another
problem of local labour markets (Cabugeira, 2000), because in general there is greater
mobility at a national level. Christaller (quoted in Briney, n.d.), in the development of
the theory of central places, indirectly addresses this issue, stating that for a site to
remain active there must be a minimum number of people.
Considering that an “unemployment policy cannot only be considered from a
national perspective”, once its success “depends on the regional labour market
conditions” (Binet and Facchini, 2013: 421), the “Leed Programme” (OECD, 2013)
aims to identify possible proposals for the unemployment decrease. The first
recommendation is that regional competitiveness of markets and the available
workforce (in terms of composition and performance) “must take into account
demographic changes (ageing population) and the particularities of the unemployment
rate”.
Campbell (2000) also seeks to highlight the importance that developing a policy
of active local labour market has regarding the reduction of unemployment and the
creation of new job opportunities. A good policy, according to the author, leads to the
reintegration of the long-term unemployed into the working force. Campos (1995)
11
believes that local development is possible through the combination between
endogenous factors such as resource mobilization, and exogenous, like the conditions of
labour relocation for the ability to attract capital.
In order to obtain external financing, it is necessary to take into account that
investors consider obtaining productivity gains through the degree of technological
innovation and have a special interest in areas with flexible employment and low wage
levels (Santos et al. quoted in Campos, 1995).
2.2.1 Labour mobility
Goodman (1970) defines the labour market as a multitude of various sub-
markets that are distinguished by, for example, the demographic structure of the
population, which is influenced by workflows. Mobility is seen as “a mechanism of
adjustment of the economy with potentially positive impact on reducing unemployment
and increasing employability”, which implies a territorial change of the workplace
(Gomes and Almeida, 2010: 1). Also Kerr (quoted in Goodman, 1970) considers that
the labour market is structured and its main divisions are in terms of geographical area,
occupations and business sector criteria with labour moving spatially considering these
three factors. Geographic mobility cannot be regarded as random, once it is influenced
by various conditions, including the economic and social context, which is the source of
most of the flows of workforce (Peixoto, 1998).
Carlsen et al. (2013) developed a study about the relationship between regional
mobility and schooling. The results suggest that low mobility, especially for workers
with less education, may contribute to the increase in the overall unemployment for this
educational level, thus contributing to accentuate regional differences in unemployment.
Concerning the relationship between wages and mobility, the authors consider two
hypotheses: if the work is static, local real wages should increase enough to induce local
workforce to fill new jobs; if the labour is mobile, an increase in local labour demand
causes an increase in the flow of workers moving into this market, reducing the increase
needed in new jobs salaries. Labour mobility will thus limit the increases in real wages.
12
A particular type of mobility is the commuting, that can be translated into daily
home-work flows and so does not require a change of the place of residence. The issue
of commuting is more associated with local labour markets because these tend to be
more open, once the cultural and administrative barriers tend to be weaker than at the
national level.
The study of the population’s commuting seeks to determine which the social
and economic territorial level transformations, caused by this phenomenon, are.
According to Gomes (2013: 2), the commuting has impact “on the management of
networks and transport systems, in the labour and housing markets, in the
environmental quality of the territories and in the management of water and waste
infrastructure, influencing the configuration of territories, in the relations and dynamics
space and even in the populations quality of life“. The most common changes are at the
level of infrastructure and public transport system, which normally are developed to
reduce the time of travel of the population. In this sense, “commuting assumes a
strategic importance in the dynamics of the territory and in the quality of the
population’s life as well as in the definition and the implementation of public policies in
planning urban and regional development” (Gomes, 2013: 1). In this sense, it can be
stated that commuting between home and work “promotes relations between the
representative spaces of different functions, among which a stronger and sometimes
problematic link is established, due to the remoteness and the travelling time that, in
practice, translates into higher economic costs and lower quality of life of citizens”
(INE, 2003: 3).
2.2.2 Skills mismatch
The skills mismatch is another problem of local labour markets and may have
different causes: people with low qualifications (usually obtained when there is only
frequency of compulsory education without recourse to lifelong training to upgrade
knowledge) or with no relevant abilities for the modern labour market, especially in the
case of older workers whose skills may be outdated. In local labour markets the variety
of career opportunities may be limited, often because the business combination is
13
restricted and more homogeneous. This event along with the information asymmetry
that may exist on the real skills firms need leads to another common problem: the fact
that young people do not choose fields of study that are needed by firms. Carlsen et al.
(2013) concluded that European economies have large variations in unemployment rates
by region and by level of education, and that disparities in regional unemployment rates
decrease as the level of qualification increases. According to Lucas (quoted in Moretti,
2010), if in a local labour market workers choose to increase their level of education,
the firms in that location will increase their investment in production, expecting to hire
these workers and thus benefit from their greater competence.
In order to keep workers present in the labour market, with relevant and updated
qualities, lifelong learning assumes a great importance. According to the European
Lifelong Learning Initiative (Watson, 2003: 3), lifelong learning is a “process which
stimulates and empowers individuals to acquire all the knowledge, values, skills and
understanding they will require throughout their lifetimes and to apply them with
confidence, creativity and enjoyment, in all roles circumstances, and environments”. If
the process of lifelong learning does not exist, employers recruit migrants, attracting
graduates from other regions, or they move to where the potential labour supply is
larger and diverse. So, the existence of skills mismatches at the local level may be more
easily softened by workers and firms mobility.
At the same time, it is often difficult for educational institutions to meet all the
needs of employers and therefore there may be little connectivity between skills demand
and supply in certain activities.
The unemployment caused by the mismatch of competencies may have its origin
in factors such as “changes in market structure, information asymmetry caused by
inefficient job matching processes such as employment agencies, and lack of workforce
flexibility in terms of geographic mobility, wages and skills” (Adams et al., 2000: 2).
According to Binet and Facchini (2013:432), “if wages are not flexible enough or firms
do not adapt their jobs to workers characteristics, a mismatch will tend to persist”.
The analysis of the skills mismatch on the supply side, so far analyzed, should
be complemented with an analysis of the demand side, as claimed by Adams et al.
(2000). The authors consider that, on the demand side, the unemployment, in local
labour markets, is due to characteristics of the employer such expectations of hiring,
14
wages and working conditions offered, the sector in which he operates, his reputation,
inadequate recruitment practices, the nature of vacancies and the time it takes to fill
them.
2.2.3 The output-unemployment relation
The relation between output and unemployment has as its primary reference the
Okun's Law (dated 1962), which is an empirical finding stating an inverse relationship
between the unemployment rate and real output (Adanu, 2002). The law “presupposes
essentially a macroeconomic correlation between the level of economic activity in the
goods market and that in the labour market over the business cycle” (Kangasharju et al.,
2012: 1).
According to Okun, for each percentage point reduction in the unemployment
rate or gap in relation to the natural unemployment rate, real GDP grows (or deviates
from potential output) in the order of 3%. The question is whether the Okun's law can
also be checked at the regional level, once the local labour markets are generally more
open. In this sense, the economic fluctuations must have greater intensity, to cause a
given change in the unemployment rate. According to Blackley (1991), the spatial
variation in Okun’s law can be related to aspects such as the distribution and
participation of the labour force, the average weekly hours per worker, the labour
productivity and tax policy decisions. The author consider that “states which experience
large fluctuations in unemployment, in response to output changes, are more dependent
upon manufacturing production and have older, slower growing labour forces” and
“tend to be states with high personal income tax burdens” (Blackley, 1991: 642).
Binet and Facchini (2013) developed a study about the regional unemployment
disparities, estimating, for this purpose, the Okun coefficient for 22 regions of France,
between 1990 and 2008. For 8 of the regions studied, the Okun's law has not been
verified. The failure to ensure the law can be caused by the existence of regional
parrticularities in the economic policy, in the conditions of the labour market or in the
population’s structure. Also Christopoulos (2004) conducted a study to estimate the
Okun's law for Greece at a regional level. For regions where the Okun's law is checked,
15
the author proposes the adoption of economic policies related to demand management
in order to reduce the gap between unemployment and output growth. Binet and
Facchini (2013) refer to the need for policy-specific intervention to reduce
unemployment in regions where the Okun’s law is not verified and Christopoulos
(2004) considers that, in this case, policies oriented to the structural change of the
labour market should be adopted. Briefly it can be assumed that the relationship
between unemployment rate and real output growth proposed by Okun should be taken
into account to draw intervention policies at regional level to reduce the asymmetries.
According to Christopolous (2004), in regions where the Okun’s law is confirmed, in
order to reduce the level of unemployment in these regions, efficient demand
management policies should be adopted.
The fight against unemployment will bring additional benefits to the local
economy, once that, according to Okun, if the unemployment rate declines, an increase
in the hours worked and in the labour productivity is expected (Adanu, 2002).
Given the higher volatility of the economic activity at a local level
(Christopoulos, 2004), it is important to analyse the Okun's law taking into account the
specificities of local labour markets, in order to devise policy interventions that increase
the labour productivity (that in these markets, given its size, is always more limited
when compared with the national productivity) in these markets.
16
3. The literature on the Portuguese labour markets
This section seeks to briefly address some of the particularities of the local
labour markets in Portugal. Regarding its regional structure, one of the first features that
should be noted is the gradual concentration of economic activities in the mainland
coast, which has been more clearly observed since the beginning of the second half of
the twentieth century (Campos, 1995). In this sense, Guerreiro and Caleiro (2005)
developed a research where they tried to study some variables to conclude on the
economic distance between the Portuguese regions. The analysis of the per capita
purchasing power of Portuguese municipalities allowed the conclusion that Lisboa and
Porto are seen as central places, especially because these two regions hold a higher
purchasing power and are surrounded by more underprivileged municipalities. The two
metropolitan areas centred in Lisboa and Porto also have a large population
concentration (Moreira and Rodrigues, 2004). For instance, the resident population in
the metropolitan area of Porto increased 8% between 1991 and 2001 (Varejão et al.,
2008). In the same period, the population growth of the metropolitan area of Lisboa was
6% (INE, 2013). Unlike these two metropolitan areas, the inner territory has low
population density, as a result of depopulation that has suffered in recent years. The
Alentejo, for example, presented a population decrease of 2.5% between 2001 and 2011
(INE, 2013).
This trend means an increasing abandonment of the inner region and a possible
excessive agglomeration in coastal regions. In fact, “the national population dynamics
shows the asymmetry of urban development” characterized by the “concentration of
population in the coast between Viana do Castelo and Setúbal and the Algarve
coastline” (INE, 2013: 29); specifically, in the Algarve, the population growth has
increased 14.1% between 2001 e 2011 (INE, 2013: 28). This growth is due, in part, to
the increase of foreign residents, representing, in 2011, about 12% of the regional
population (INE, 2012). The immigration to the Algarve may be related to the fact that
the region provides a good climate, a strong tourism activity and a good quality of life,
not requiring very high purchasing power. In this sense, it is expected that the labour
market in the Algarve region consists of a large labour supply of foreign residents.
17
Another tendency that can be observed, in recent decades, is the emergence of
new urban centres of average size in the inner region, such as Bragança, Vila Real,
Viseu, Castelo Branco, Évora and Beja (INE, 2013: 30). As for the autonomous regions,
the highest population density in Madeira is verified in the northern part, and in the
Azores the highest values are observed in the island of São Miguel and Terceira (INE,
2013: 26).
The bipolarization of population and economic activities around the two
Portuguese metropolitan areas is leading to the worsening of the asymmetries between
the various local labour markets.
Another trend that has been observed over the past decades, in Portugal, is the
ageing population increase. In the decade between 1991 and 2001, for example, “the
proportion of young people decreased from 20% to 16%, while the elderly increased
from 13.6% to 16.4%” (Carrilho and Gonçalves, 2004). According to data obtained
from the 2001 Census, the Azores and the sub-regions of the North hold a higher
proportion of young people comparing to the oldest and in Alentejo and Centro occurs
the reverse situation (Carrilho and Gonçalves, 2004). In the regions that experience a
growing ageing population, the labour supply is more limited in quantitative and
qualitative terms. In regions where we witness the reverse situation, the labour supply is
larger and more diverse, so firms have greater option of choice when it comes to
recruitment.
In Portugal the labour market is becoming more flexible, thanks to the increase
in short-term contracts, which may mean greater social inequality when compared with
the prevalence of permanent contracts, which guarantee more social protection and
higher compensation on retirement. However, the increase of labour market’s flexibility
also has advantages, since it allows a faster adjustment between work supply and
demand (the needs of workforce can be met faster and with less costs to the firms, once
the employment contracts with shorter duration allow the employers to dismiss workers
without higher costs when compared with permanent contracts). Also the emergence of
new forms of work contributes to the increase of labour disparities, such as temporary
work, which is often associated with more instability.
18
All the above factors (population concentration, ageing population and labour
flexibility) contribute to the segmentation of the labour market, not only in a space
perspective but also economically. In this sense, Pereira (1997) refers the existence of
forty labour markets at a sub-regional level in Portuguese mainland, which are nothing
more than groups of homogeneous municipalities classified as employment areas. These
groupings allow the drawing of some conclusions about the commuting taking place in
the Portuguese mainland. According to Pereira (1997), most home-work movements
occur at an internal level in these employment areas. At the municipal level, 29% of the
population moved, in 2011, to another municipality for work or study, reflecting the
trend of “spatial contiguity in intercity mobility conditions” (INE, 2013: 64). In this
sense, “the intensification of migration flows between places of residence and work
promotes and enhances a high relationship between neighbouring municipalities”
(Pisco, 1997: 6). Based on commuting observed in the early 90s, Pisco (1997) also
predicts the existence of “geographical units of employment”, which are municipalities
that act as poles of attraction, since they offer better job opportunities. In Portugal, the
author predicts the existence of 33 geographical units of employment, with relevance
for Lisboa, Porto and Aveiro.
The access to unemployment benefits is seen as being rather limited, due to
various constraints such as the requirement of a minimum of contributions, which
results in increased difficulty for workers who are considered at risk in situations with
short-term contracts duration to ensure their survival in periods between the end of the
contract and the finding of a new job (Centeno and Novo, 2012).
As for labour productivity, Lopes (2004) conducted a study for the NUTS 3
level regions in order to test the hypothesis of regional convergence for this variable in
the period between 1990 and 1999. This analysis considered both the productive
structure and the sector structure of each region studied and allowed reinforcing the idea
of the existence of regional convergence in manufacturing and in the services sector.
Regarding the labour productivity at the aggregate level, there is indication of regional
convergence, directly related to situations of geographical mobility of labour between
sectors of activity, which causes changes in regional employment structures.
19
4. An empirical assessment of the Portuguese labour markets
The existence of spatial asymmetries in the labour market may have, as noted
previously, factors of diverse nature in its origin. In general, the existence of these gaps
acts as an obstacle to a balanced economic growth. It becomes therefore crucial to
identify them, in order to delineate local based practices to combat the causes of
negative spatial disparities.
In this chapter, we try to analyse, in a first stage, a set of 30 indicators reported
to the same timeline, in this case 2011, to clarify the spatial disparities in the Portuguese
labour market, at the municipal level, regarding the 308 Portuguese municipalities. We
perform a principal components factor analysis in order to extract the main latent
dimensions related to the labour market present in the data. In the next stage, a cluster
analysis is performed on the principal components extracted from the factor analysis.
The goal is to finally obtain groups of municipalities that are homogeneous regarding
the main features of the labour market.
4.1 . Data and variables
The first step was to collect a set of relevant indicators. The relevance of the
data is dependent upon its association with the specific issues regarding local labour
markets previously discussed – labour mobility, skills mismatch and the output-
unemployment relation. It is also important to mention that the data must be available at
the municipal level and refer to a single year, in this case 2011, a census year. In order
to leave aside the influence of the municipal dimension, the indicators are defined in
relative terms (essentially, in proportion or per capita terms). Given these conditions,
30 indicators were selected. Table 1 lists the selected indicators and the metadata. The
source of indicators 1 to 28 is the 2011 population census while indicator 29 is provided
by the Study on the Local Purchasing Power; as for indicator 30, the source are the Lists
of Personnel of the Ministry of Economy and Employment.
20
Table 1. List of the selected indicators
Label Name Measurement
unit Description
Ind01
Average time spent on
commuting of employed or
student resident population
Minutes
(Total of persons in class j x midpoint of class j) / Employed
or student resident population [Considered classes
(respective weight): none (0); up to 15 minutes (7,5); 16 to
30 minutes (23); 31 to 60 minutes (45,5) and more than one
hour (90)]
Ind02
Average time spent on
commuting of employed or
student resident population
using collective mode of
transport
Minutes
(Employed or student resident population using individual
transport in class j x midpoint of class j) / Employed or
student resident population using collective mode of
transport [Considered classes (respective weight): none (0);
up to 15 minutes (7,5); 16 to 30 minutes (23); 31 to 60
minutes (45,5) and more than one hour (90)]
Ind03
Average time spent on
commuting of employed or
student resident population
using individual mode of
transport
Minutes
(Employed or student resident population using individual
transport in class j x midpoint of class j) / Employed or
student resident population using individual mode of
transport [Considered classes (respective weight): none (0);
up to 15 minutes (7,5); 16 to 30 minutes (23); 31 to 60
minutes (45,5) and More than one hour (90)]
Ind04 Ageing ratio No.
Resident population with 65 and more years old / Resident
population aged between 0 and 14 years old
x 100
Ind05 Social diversity ratio No.
Reflects a measure of the degree of diversity of a territorial
unit. It varies between 0 (maximum specialization) and 1
(maximum diversity). For each territorial unit, the
calculation of this indicator is established by the following
steps: 1) the product between the weight of each
socioeconomic group in the territorial unit’s population and
the natural logarithm of this weight; 2) the sum of the values
obtained for every socioeconomic group; 3) the division by
the natural logarithm of the number of socioeconomic
groups considered; 4) the adoption of the symmetrical value
obtained.
Ind06 Renewal index of the population
in active age No. Resident population aged between 20 and 29 years old /
Resident population aged between 55 and 64 years old x 100
Ind07 Potential sustainability ratio No. Resident population aged between 15 and 64 years old /
Resident population with 65 and more years old
x 100
Ind08 Commuting mobility of
employed population %
(Employed resident population outside the territorial unit +
Employed non-resident population in the territorial unit) /
Employed resident population x 100
Ind09
Proportion of employed
population outside the territorial
unit
% Employed resident population outside territorial unit /
Employed resident population x 100
Ind10
Proportion of student population
using pedestrian mode in
commuting
% Student resident population accessing education by
pedestrian way / Student resident population x 100
Ind11
Proportion of non-resident
population employed in the
territorial unit
% Non-resident population employed in the territorial unit /
Employed population in the territorial unit x 100
Ind12
Proportion of resident
population with higher
education completed
% Resident population with 21 and more years old with higher
education completed / Resident population with 21 and
more years old x 100
Ind13
Proportion of resident
population aged between 18 and
24 years old with the lower
secondary education 3rd cycle
completed not attending
educational system
%
Resident population aged between 18 and 24 years old with
the lower secondary education 3rd cycle completed not
attending educational system / Resident population aged
between 18 and 24 years old x 100
21
Label Name Measurement
unit Description
Ind14
Proportion of resident
population aged between 30 and
34 years old with at least higher
education completed
% Resident population aged between 30 and 34 years old with
at least higher education completed / Resident population
aged between 30 and 34 years old x 100
Ind15
Proportion of resident
population aged between 6 and
15 years old not attending the
educational system
% Resident population aged between 6 and 15 years old not
attending educational system / Resident population aged
between 6 and 15 years old x 100
Ind16
Proportion of resident
population with 15 and more
years old without any level of
education completed
% Resident population with 15 and more years old without any
level of education completed / Resident population with 15
and more years old x 100
Ind17 Proportion of resident
population of foreign nationality % Resident population of foreign nationality / Resident
population x 100
Ind18
Proportion of employed or
student resident population with
average time spent on
commuting below 31 minutes
% Employed or student resident population with average time
spent on commuting below 31 minutes / Employed or
student resident population x 100
Ind19
Proportion of employed or
student resident population
using collective mode of
transport in commuting
% Employed or student resident population accessing
job/education by collective transport way / Employed or
student resident population x 100
Ind20
Proportion of employed or
student resident population
using individual mode of
transport in commuting
% Employed or student resident population accessing
job/education by individual transport way / Employed or
student resident population x 100
Ind21
Proportion of resident
population that comes in the
territorial unit (commuting)
% Resident population that works or studies in the territorial
unit but resides in a different territorial unit / Resident
population in the territorial unit x 100
Ind22
Proportion of resident
population that comes out the
territorial unit (commuting)
% Resident population that works or studies in a different
territorial unit / Resident population in the territorial unit x
100
Ind23
Proportion of resident
population that works or studies
in other municipality
% Resident population that works or studies in other
municipality / Resident population that works or studies x
100
Ind24 Proportion of car usage on daily
journeys %
Employed or student resident population using the car as
driver or as a passenger on daily journeys / Employed or
student resident population
x 100
Ind25 School leavers rate % Resident population aged between 10 and 15 years old who
left school without attaining lower secondary education /
Resident population aged between 10 and 15 years old x 100
Ind26 Activity rate of resident
population % Active population / Resident population x 100
Ind27 Illiteracy rate % Resident population with 10 and more years old who does
not know to read or write / Resident population with 10 and
more years old x 100
Ind28 Unemployment rate % Unemployed population / Active population x 100
Ind29 Per capita purchasing power Portugal = 100 Synthetic indicator expressing the purchasing power level in
a municipality, with regard to the national average.
Ind30 Average monthly earning Euros
Regular net amount in cash or in kind paid to the worker in
a month, by virtue of time spent working or work supplied
during normal and extra working hours. Includes payment
of hours paid but not worked (holidays, bank holidays and
other paid absences from work). Data refers to full time
employees with full remuneration.
22
The values for the average monthly earning for the municipalities of Azores,
which were not available, were estimated on the basis of the growth rate between 2009
and 2011 (the 2010 data are not available as well) of the indicator for the Portuguese
mainland. The growth rate was subsequently applied to the value of the indicator for
each Azorean municipality in 2009, in order to estimate the value for 2011.
The next step was the development of an exploratory analysis. The linear
correlation analysis aims at studying the relationship between variables, i.e., whether
the variables move in the same or in opposite directions or are not correlated at all.
Considering this definition as a starting point, we proceeded with the construction of the
linear correlation matrix, encompassing the 30 indicators presented in Table 1 and their
values for the 308 Portuguese municipalities. There was no need for treatment of
missing values, since the values of average monthly earning for the municipalities of
Azores were estimated as described above.
After the analysis of the linear correlation matrix (Table 2), we chose to exclude
some of the 30 indicators originally selected for reasons of various kinds. From the 9
excluded indicators, 7 are related to the commuting of the population, which reflects the
fact that this dimension was oversized in the initial set of indicators. In fact, previously,
we had concluded that commuting was related to 14 of the 30 initial indicators.
Indicators 2 and 3, which refer to the average time spent on commuting of
employed and student resident population considering the type of transport, have a
correlation of 0.80 and 0.89, respectively, with the indicator 1, which suggests strong
conceptual redundancy, and, so, were excluded from the analysis.
It was also decided to exclude the indicator 8, which is related to the commuting
of employed population since it is very concise and there are other indicators that have
the same information in a less comprehensive manner such as indicators 9 and 11.
Once the indicator 10 refers to a specific group, which is the student population
and it is not directly relevant for the analysis in question, we decided for its exclusion as
well.
It was further decided to exclude indicator 14 as the information is more
restricted compared to indicator 12 and the linear correlation between the two indicators
is 0.91.
23
In what concerns indicator 16, which focuses on the population without
schooling, which is an essential factor in the analysis of the labour market, it was
decided by its exclusion since it has a strong correlation (0.96) with the indicator 27,
which deals with the same theme, but without restricting the analysis to an age group.
Regarding indicator 18, which refers to the average time spent on commuting
below 31 minutes, it shows a strong linear correlation with the indicator 1, which
provides more embracing information and does not consider a limit for the population’s
average time of commuting. So, we decided for the exclusion of indicator 18.
Finally, indicators 22 and 23 were excluded from the analysis, once they present
a strong linear correlation with indicator 9, in the order of 0.97, which reflects the
conceptual redundancy of these three indicators.
24
Table 2. Linear correlation matrix
Label Ind01 Ind02 Ind03 Ind04 Ind05 Ind06 Ind07 Ind08 Ind09 Ind10 Ind11 Ind12 Ind13 Ind14 Ind15 Ind16 Ind17 Ind18 Ind19 Ind20 Ind21 Ind22 Ind23 Ind24 Ind25 Ind26 Ind27 Ind28 Ind29 Ind30
Ind01 1.00
Ind02 0.80 1.00
Ind03 0.89 0.65 1.00
Ind04 -0.21 -0.16 -0.02 1.00
Ind05 -0.17 -0.16 -0.01 0.29 1.00
Ind06 0.04 -0.01 -0.08 -0.73 -0.33 1.00
Ind07 0.19 0.16 -0.03 -0.81 -0.48 0.86 1.00
Ind08 0.56 0.52 0.42 -0.27 -0.27 0.08 0.29 1.00
Ind09 0.75 0.60 0.66 -0.33 -0.24 0.15 0.03 0.71 1.00
Ind10 -0.08 0.22 0.01 -0.02 0.01 0.10 0.21 -0.04 -0.09 1.00
Ind11 0.41 0.46 0.25 -0.23 -0.27 0.04 0.34 0.94 0.55 -0.02 1.00
Ind12 0.32 0.38 0.13 -0.41 -0.08 0.15 0.37 0.48 0.22 0.03 0.50 1.00
Ind13 -0.21 -0.24 -0.19 -0.24 -0.11 0.51 0.14 -0.22 -0.16 0.25 -0.22 -0.40 1.00
Ind14 0.28 0.33 0.12 -0.19 0.01 -0.06 0.00 0.43 0.20 -0.04 0.46 0.91 -0.56 1.00
Ind15 -0.05 0.00 -0.06 0.16 0.06 0.01 -0.72 -0.08 -0.14 0.25 -0.04 -0.03 0.22 -0.05 1.00
Ind16 -0.26 -0.34 0.01 0.76 0.38 -0.49 0.09 -0.43 -0.35 -0.02 -0.43 -0.69 0.06 -0.52 0.12 1.00
Ind17 0.14 0.22 0.05 -0.16 0.03 -0.03 -0.15 0.12 0.06 0.17 0.15 0.31 -0.08 0.19 0.08 -0.28 1.00
Ind18 -0.97 -0.78 -0.88 0.17 0.14 -0.02 0.23 -0.51 -0.70 0.01 -0.38 -0.29 0.18 -0.26 0.04 0.23 -0.19 1.00
Ind19 0.65 0.26 0.52 -0.18 -0.17 0.22 0.09 0.29 0.41 -0.23 0.18 -0.01 0.17 -0.05 -0.01 -0.03 -0.06 -0.62 1.00
Ind20 -0.15 -0.09 -0.25 -0.20 -0.04 -0.02 0.18 0.10 0.08 -0.57 0.14 0.29 -0.40 0.30 -0.22 -0.35 0.04 0.20 -0.48 1.00
Ind21 0.16 0.24 0.02 -0.21 -0.20 0.06 0.37 0.78 0.15 0.04 0.83 0.62 -0.22 0.56 -0.02 -0.43 0.15 -0.13 0.03 0.12 1.00
Ind22 0.70 0.60 0.58 -0.41 -0.25 0.21 0.19 0.71 0.97 -0.09 0.57 0.29 -0.16 0.25 -0.16 -0.45 0.11 -0.66 0.34 0.15 0.18 1.00
Ind23 0.70 0.59 0.62 -0.22 -0.19 0.05 0.09 0.69 0.97 -0.11 0.54 0.18 -0.20 0.18 -0.14 -0.28 0.07 -0.66 0.34 0.10 0.12 0.97 1.00
Ind24 -0.14 -0.11 -0.24 -0.18 -0.03 -0.03 0.01 0.08 0.05 -0.58 0.12 0.30 -0.44 0.32 -0.19 -0.34 0.03 0.20 -0.45 0.98 0.13 0.12 0.07 1.00
Ind25 -0.04 0.00 -0.03 0.13 0.10 0.06 0.74 -0.07 -0.13 0.20 -0.03 -0.04 0.21 -0.06 0.87 0.12 0.02 0.03 0.03 -0.19 -0.01 -0.15 -0.14 -0.16 1.00
Ind26 0.23 0.30 0.01 -0.80 -0.40 0.54 -0.69 0.38 0.33 0.13 0.38 0.59 0.02 0.40 -0.11 -0.85 0.36 -0.21 -0.06 0.32 0.37 0.46 0.28 0.30 -0.13 1.00
Ind27 -0.22 -0.26 0.07 0.75 0.38 -0.47 0.21 -0.40 -0.33 0.09 -0.40 -0.62 0.06 -0.46 0.16 0.96 -0.24 0.18 -0.04 -0.41 -0.39 -0.42 -0.26 -0.39 0.16 -0.79 1.00
Ind28 0.18 0.16 0.23 -0.22 -0.14 0.18 0.33 0.09 0.18 0.35 0.01 0.00 0.17 -0.08 0.17 -0.06 0.08 -0.16 0.19 -0.35 -0.03 0.10 0.10 -0.36 0.14 0.11 0.02 1.00
Ind29 0.27 0.38 0.08 -0.39 -0.15 0.14 0.30 0.55 0.15 0.13 0.60 0.89 -0.32 0.77 0.01 -0.68 0.36 -0.26 -0.06 0.26 0.75 0.22 0.11 0.26 -0.01 0.63 -0.60 0.03 1.00
Ind30 0.25 0.31 0.07 -0.32 -0.07 0.14 0.23 0.48 0.14 0.13 0.54 0.64 -0.17 0.54 0.05 -0.52 0.31 -0.25 0.04 0.15 0.57 0.21 0.12 0.15 0.08 0.49 -0.46 -0.03 0.75 1.00
25
In conclusion, the linear correlation analysis led to the exclusion of 9 out of the
30 initial indicators, due to conceptual redundancies supported by significant linear
correlation coefficients. Thus, the database was restricted to 21 indicators, which will be
the input for the factor analysis addressed in the following section.
4.2 Factor analysis
The principal components factor analysis aims at reducing the initial number of
variables, aggregating them into new synthetic variables called factors that seek to
explain a large proportion of the total variance of the original variables (Maroco, 2007).
Therefore, the method used to carry out the study of the different indicators was to
consider the existence of n variables (in this case 21) and p factors, with a relationship
between them translated into p < n. This aggregation allows synthesizing information
on principal components, which are no more than a set of new ortogonal variables (INE,
2004a; INE, 2004b). In order to better understand the relationship between the initial
variables and the principal components, the varimax rotation method was used, with the
aim of maximizing the variation between weights of each principal component. This
method performs a change of coordinates, seeking to maximize the correlations between
the variables and the principal components. The quartimax method, also widely used,
minimizes the number of factors necessary to explain a variable. This method of
rotation generates a general factor on which most variables are loaded to a high degree.
Such a factor structure is usually not helpful to the purpose of this study and this is why
a varimax rotation was used instead of a quartimax one.
Regarding the study here presented, population weights on the municipal level
were not used for the factor analysis because its application is justified only for a
smaller scale territorial dimension (INE, 2004a; INE, 2004b) and not to the municipal
level (INE, 2013). As for missing values, given their pre-treatment, regarding the
average monthly earning for the municipalities of the Azores, described in section 4.1.,
they do not exist in the database.
As a starting point, we will consider the results obtained after the exploratory
analysis of the correlations matrix, which led to a narrower set of initial indicators. A
26
principal components factor analysis was then applied to the smaller set of 21
indicators.
As the Bartlett's test, conducted to determine the homogeneity or heterogeneity
of variances between variables, led to a null p-value, we can conclude that the variables
are significantly correlated. As for the Kaiser-Meyer-Olkin (KMO) statistic, it indicates
the ratio of the data variance that can be considered common to all variables and, for
this reason, can be attributed to a common factor. Thus, for the factor analysis, a KMO
value greater than 0.5 is considered acceptable. The value obtained was 0.740, as we
can see in Table 3, which suggests that the performance of a factor analysis is
appropriate.
Table 3. KMO and Bartlett’s test
Kaiser-Meyer-Olkin Measure of Sampling
Adequacy
0.740
Bartlett’s Test of
Sphericity
Approx Chi-Square 6534.450
df 210
Sig. 0.000
The communalities, displayed in Table 4, represent the proportion of the
variance of each variable that can be explained by the principal components. For the
analysis, it is generally consider as acceptable to extract values greater than 0.5.
According to Table 4, indicators 5 and 28 have communalities of 0.447 and 0.391
respectively. In spite of the values for these two indicators being below 0.5, they are
relevant for the characterization of local labour markets, in particular the unemployment
rate, and therefore it was decided to keep them in the analysis. In this sense, except for
these two indicators, the percentage of each variable variance explained by the factors is
greater than 50%, since the initial variables are standardized and thus have a variance of
one.
27
Table 4. Communalities
Label Name Initial Extraction
Ind20 Proportion of employed or student resident population using individual mode of
transport in commuting 1.000 0.942
Ind24 Proportion of car usage on daily journeys 1.000 0.941
Ind25 School leavers rate 1.000 0.932
Ind15 Proportion of resident population aged between 6 and 15 years old not attending
the educational system 1.000 0.928
Ind07 Potential sustainability ratio 1.000 0.917
Ind29 Per capita purchasing power 1.000 0.913
Ind21 Proportion of resident population that comes in the territorial unit (commuting) 1.000 0.893
Ind01 Average time spent on commuting of employed or student resident population 1.000 0.886
Ind26 Activity rate of resident population 1.000 0.869
Ind04 Ageing ratio 1.000 0.858
Ind09 Proportion of employed population outside the territorial unit 1.000 0.838
Ind06 Renewal index of the population in active age 1.000 0.834
Ind11 Proportion of non-resident population employed in the territorial unit 1.000 0.826
Ind27 Illiteracy rate 1.000 0.809
Ind12 Proportion of resident population with higher education completed 1.000 0.797
Ind13 Proportion of resident population aged between 18 and 24 years old with the
lower secondary education 3rd cycle completed not attending educational system 1.000 0.745
Ind19 Proportion of employed or student resident population using collective mode of
transport in commuting 1.000 0.722
Ind30 Average monthly earning 1.000 0.678
Ind17 Proportion of resident population of foreign nationality 1.000 0.663
Ind05 Social diversity ratio 1.000 0.447
Ind28 Unemployment rate 1.000 0.391
Considering the Kaiser criterion, which suggests the selection of the components
with eigenvalues greater than 1, there are six principal components that, in total, explain
80.1% of the total variance of the initial data (Table 5).
28
Table 5. Total variance explained matrix
The scree plot shows the relationship between the number of extracted
components and the eigenvalues associated with them. Regarding the number of factors
Component
Initial eigenvalues Rotation sums of squared loadings
Total % of variance Cumulative % Total % of variance Cumulative %
1 6.338 30.182 30.182 4.213 20.060 20.060
2 3.388 16.132 46.314 4.067 19.368 39.428
3 2.572 12.245 58.559 2.843 13.536 52.964
4 2.138 10.179 68.738 2.401 11.431 64.395
5 1.264 6.017 74.756 1.961 9.340 73.735
6 1.130 5.383 80.139 1.345 6.404 80.139
7 0.883 4.207 84.346
8 0.743 3.540 87.885
9 0.617 2.936 90.822
10 0.388 1.849 92.671
11 0.360 1.714 94.385
12 0.263 1.253 95.638
13 0.232 1.104 96.742
14 0.179 0.851 97.594
15 0.124 0.591 98.185
16 0.113 0.539 98.724
17 0.092 0.440 99.164
18 0.063 0.299 99.463
19 0.052 0.250 99.713
20 0.043 0.207 99.920
21 0.017 0.080 100.000
21 100.000
29
to retain, it must be considered, as a reference point, the inflection of the curve and
components with eigenvalues greater than 1. According to the interpretation of the scree
plot (Figure 1) the inflection occurs from component 4. In this sense, we could have
opted for the extraction of only 4 components, but we decided for the extraction of 6,
following the Kaiser criterion.
Figure 1. Scree plot
The rotated component matrix displays the loadings after rotation, representing
the correlation between each component and each variable (Table 6). Variables with
high absolute values of loadings are important to describe the component. The
correlation between the indicators and the components can be positive or negative, if the
rise of one of the variables follows the increase or decrease of the other, respectively.
30
Table 6. Rotated component matrix
Label Name
Component
1 2 3 4 5 6
Demographic
sustainability Attractiveness Qualification Commuting
School
leaving
Foreign
population
Ind07 Potential sustainability ratio
0.937 0.147 -0.026 0.120 0.042 -0.006
Ind06 Renewal index of the population in active age
0.895 -0.016 -0.144 -0.020 0.065 -0.087
Ind04 Ageing ratio -0.870 -0.172 -0.064 -0.144 0.119 -0.182
Ind26 Activity rate of resident
population 0.743 0.413 0.214 0.103 -0.091 0.285
Ind27 Illiteracy rate -0.686 -0.422 -0.320 -0.150 0.124 -0.143
Ind05 Social diversity ratio -0.488 -0.155 0.014 -0.208 0.054 0.373
Ind21
Proportion of resident
population that comes in
the territorial unit (commuting)
0.056 0.927 -0.002 0.013 -0.026 -0.173
Ind29 Per capita purchasing
power 0.215 0.874 0.156 0.038 0.006 0.279
Ind11
Proportion of non-resident
population employed in the territorial unit
0.067 0.791 0.049 0.387 -0.007 -0.207
Ind30 Average monthly earning 0.180 0.767 0.040 0.031 0.077 0.222
Ind12
Proportion of resident population with higher
education completed
0.216 0.757 0.227 0.130 -0.022 0.330
Ind24 Proportion of car usage on daily journeys
0.115 0.102 0.954 -0.048 -0.063 0.005
Ind20
Proportion of employed or
student resident population using individual mode of
transport in commuting
0.134 0.096 0.950 -0.054 -0.096 0.007
Ind13
Proportion of resident population aged between
18 and 24 years old with
the lower secondary education 3rd cycle
completed not attending
educational system
0.489 -0.310 -0.516 -0.268 0.198 -0.179
Ind28 Unemployment rate 0.218 -0.075 -0.432 0.218 0.153 0.283
Ind01
Average time spent on commuting of the
employed or student
resident population
0.044 0.204 -0.132 0.898 -0.028 0.130
Ind09
Proportion of employed
population outside the territorial unit
0.198 0.116 0.095 0.878 -0.069 -0.024
Ind19
Proportion of employed or student resident population
using collective mode of
transport in commuting
0.130 0.001 -0.521 0.642 -0.018 -0.147
Ind25 School leavers rate -0.030 0.016 -0.099 -0.038 0.959 -0.004
Ind15
Proportion of resident population aged between 6
and 15 years old not
attending the educational system
-0.046 0.018 -0.122 -0.053 0.951 0.056
Ind17
Proportion of resident population of foreign
nationality
0.063 0.240 -0.020 0.021 0.022 0.775
31
Considering the correlation previously described, the name of each component
was assigned taking into account the combination of the indicators that are most
correlated with it. In this section, it was also possible to proceed to a graphical analysis,
considering the five municipalities with the highest and lowest values for each
component.
Given that the first component relates mostly with variables that reflect
demographic characteristics, the first component was named “Demographic
sustainability”.
The demographic sustainability is correlated positively with four variables: the
potential sustainability ratio, that presents a loading of 0.937, the renewal index of the
population in active age (0.895), the activity rate of resident population (0.743) and the
proportion of resident population aged between 18 and 24 years old with the lower
secondary education 3rd
cycle completed not attending the educational system (0.489).
This component is negatively correlated with the ageing ratio (-0.870), the illiteracy rate
(-0.686) and the social diversity ratio (-0.488). Given the increasing ageing population
in Portugal, and once demographic sustainability is based on a balanced population
development (in terms of age, gender and other demographic factors), it would be
expected that this indicator had a negative relationship with the component in question.
The same can be applied, for example, to the illiteracy rate, which represents the
proportion of the resident population aged 10 or older who cannot read or write in the
total resident population. This means that this indicator varies negatively with the
illiteracy of the population.
In terms of the labour market, this analysis is particularly relevant, since it
reinforces the need of intervention to combat the population ageing and illiteracy,
factors that contribute negatively to the sustainability of the human resources and,
consequently, to the growth of the workforce in quantity and in quality, since, as seen in
section 1, the investment in human capital is the starting point for a qualified labour
force.
As shown in Figure 2, the five Portuguese municipalities that have a higher
value for the demographic sustainability are Ribeira Grande, Lagoa (Açores), Paços de
32
-4
-3
-2
-1
0
1
2
3
4
Rib
eira
Gra
nd
e
Lag
oa
(Aço
res)
Paç
os
de
Fer
reir
a
Lou
sad
a
Câm
ara
de
Lo
bo
s
Vil
a V
elh
a de
Ró
dão
Idan
ha-
a-N
ova
Ole
iro
s
Pen
amac
or
Alc
outi
m
Ferreira, Lousada and Câmara de Lobos. The first two municipalities are located in
Região Autónoma dos Açores, Paços de Ferreira and Lousada belong to the Norte
region and Câmara de Lobos to Região Autónoma da Madeira.
As for the municipalities with the lowest values, we have Vila Velha de Ródão,
Idanha-a-Nova, Penamacor, Oleiros and Alcoutim. The first four municipalities belong
to the Centro region and Alcoutim to the Algarve region.
Figure 2. Demographic sustainability: highest and lowest values
As we can see in Figure 3, in terms of the level 2 NUTS regions, the Portuguese
regions with the highest demographic sustainability are Região Autónoma dos Açores
and Norte that, as stated in Section 3, were, at the time of the 2001 Census, the regions
with less population ageing. In the Norte region, it can also be seen that the
municipalities with the highest demographic sustainability are located in the coast,
which could be explained by the high population concentration that occurs on the
33
Portuguese coast. The Norte region includes, for example, the metropolitan area of
Porto, endowed with a strong concentration of economic activities, as mentioned above.
Figure 3. Demographic sustainability per municipality
34
-2
-1
0
1
2
3
4
5
6
7
8
Lis
bo
a
Port
o
Oei
ras
Sin
es
São
Jo
ão d
a M
adei
ra
Vil
a F
ranca
do
Cam
po
Cab
ecei
ras
de
Bas
to
Bai
ão
Cel
ori
co d
e B
asto
Cin
fães
The regions with the highest concentration of municipalities with negative
values of demographic sustainability are Centro and Alentejo. In the inner Norte, there
are also many municipalities with negative values of demographic sustainability, as we
can see in the map of Figure 3. Also in Centro and Alentejo, municipalities with
negative values in this component are mainly located inside. This phenomenon may be
explained, in part, by the increasing abandonment of the inner regions of Portugal, as
mentioned in the previous section.
The second component reflects, in a balanced way, aspects of mobility and
economic activity, describing more dynamic labour markets, and so can be called as
“Attractiveness”.
Figure 4. Attractiveness: highest and lowest values
This component is positively correlated with the proportion of resident
population that commutes into the territorial, which presents a loading of 0.927, the per
capita purchasing power (0.874), the proportion of non-resident population employed in
35
N
0.2 ; 7.5-0.2 ; 0.2-0.6 ; -0.2-1.4 ; -0.6
the territorial unit (0.791), the average monthly earning (0.767) and the proportion of
resident population with higher education completed (0.757).
Figure 4 shows that the five municipalities with the highest attractiveness are
Lisboa, Porto (these two being the core of the two metropolitan areas in the country),
Oeiras, Sines and São João da Madeira. The municipalities with less attractiveness are
Vila Franca do Campo, Cabeceiras de Basto, Baião, Celorico de Basto and Cinfães. The
last four municipalities belong to the Norte region.
Figure 5. Attractiveness per municipality
36
For the attractiveness component, according to Figure 5, the overall pattern
shows a low attractiveness in the inner North of the Portuguese mainland (evidenced by
the depopulation in the inner regions) and a high attractiveness in the coast, especially
in the two metropolitan areas. It is worthwhile to notice that, as mentioned in Section 3,
the metropolitan areas of Lisboa and Porto reveal a high purchasing power (Guerreiro e
Caleiro, 2005) and a high average monthly earning. These two metropolitan areas also
have a great economic activity and, consequently, a large population’s concentration.
We can also verify that both the autonomous regions present a general pattern of
negative attractiveness. This may be due to the concentration of economic activity in the
mainland, which makes the autonomous regions less attractive in terms of firms and
employment.
The third component is positively correlated with the proportion of car usage on
daily journeys that presents a loading of 0.954 and with the proportion of employed or
student resident population using individual mode of transport in commuting (0.950).
This component, that will be named as “Qualification”, presents a negative correlation
with the proportion of employed or student resident population using collective mode of
transport in commuting (-0.521), with the proportion of resident population aged
between 18 and 24 years old with the lower secondary education 3rd
cycle completed
not attending the educational system (-0.516) and with the unemployment rate (-0.432).
As for the municipalities, according to the values shown in Figure 6, we can
conclude that Condeixa-a-Nova, Batalha, Vale de Cambra, Anadia and Mira are the
more qualified. All the municipalities, with the exception of Vale de Cambra, belong to
the region of Centro. The municipalities with less qualification are Nordeste, Mourão,
Câmara de Lobos, Lisboa and Corvo. Two of these five municipalities belong to the
Região Autónoma dos Açores (Nordeste e Corvo) and Câmara de Lobos belongs to the
Região Autónoma da Madeira.
37
-4
-3
-2
-1
0
1
2
3
Co
nd
eixa-
a-N
ov
a
Bat
alh
a
Val
e d
e C
ambra
An
adia
Mir
a
No
rdes
te
Mou
rão
Câm
ara
de
Lo
bo
s
Lis
bo
a
Co
rvo
Figure 6. Qualification: highest and lowest values
According to Figure 7, the Portuguese municipalities with more qualification are
located in Centro. The regions with the highest concentration of municipalities with
negative values of qualification are Norte, Alentejo, Região Autónoma da Madeira and
Região Autónoma dos Açores. The lower skills in the autonomous regions explain the
negative values of qualification in these regions, along with the absence of a collective
mode of modernized transportation system between the islands. In terms of the local
labour market, it is expected that the islands in the autonomous regions, according to
this analysis, present high rates of unemployment, low investment in human capital
(with high school dropout rates) and consequently labour force with low training.
38
Figure 7. Qualification per municipality
The fourth component is related to the average time spent on commuting of
employed or student resident population with a loading of 0.898, the proportion of
employed population outside the territorial unit (0.878) and to the proportion of
N
0.7 ; 2.70.1 ; 0.7-0.7 ; 0.1-3.7 ; -0.7
39
-5
-4
-3
-2
-1
0
1
2
3
4
5
Bar
reir
o
Moit
a
Od
ivel
as
Sei
xal
Am
ado
ra
Port
o S
anto
San
ta C
ruz
das
Flo
res
Sin
es
Vil
a do
Po
rto
Co
rvo
employed or student resident population using collective mode of transport in
commuting (0.642). The three indicators are positively related to commuting, revealing
intense daily movements, so the fourth component will be named as “Commuting”.
The municipalities that present higher commuting are Barreiro, Moita, Odivelas,
Seixal and Amadora. They all belong to the region of Lisboa, which matches the
territory of the Metropolitan Area of Lisboa. The municipalities with less commuting
are Porto Santo, Santa Cruz das Flores, Sines, Vila do Porto and Corvo. Three of these
municipalities are located in the Região Autónoma dos Açores.
Figure 8. Commuting: highest and lowest values
The Portuguese regions with high values of commuting (Figure 9) are the
coastal areas of Lisboa, Centro and Norte. In the Região Autónoma da Madeira it can be
verified that some municipalities also have high commuting. This can be explained by
the fact that this region has a labour market focused largely on the tourism sector.
40
Figure 9. Commuting per municipality
The regions with the highest concentration of municipalities with negative
values for commuting are Região Autónoma dos Açores, Alentejo and Algarve. In this
sense, the commuting in Portugal can be seen, in an overall pattern, as a contrast
between the metropolitan areas and the Coimbra area (in Centro), that present higher
N
0.4 ; 3.7-0.1 ; 0.4-0.6 ; -0.1-4.2 ; -0.6
41
-3
-2
-1
0
1
2
3
4
São
Vic
ente
Idan
ha-
a-N
ova
Gav
ião
Lag
oa
(Aço
res)
Alj
ust
rel
Man
teig
as
Cas
telo
de
Vid
e
Port
o M
on
iz
Ou
riq
ue
Vil
a do
Bis
po
commuting (the use of collective mode of transport is very common once these areas
provide a comprehensive system of transport and form an integrated network of
municipalities), and the inner region, that presents a low value of commuting. In terms
of the labour market, according to section 2, the regions with lower mobility normally
have higher unemployment rates, which can be apply to the Região Autónoma dos
Açores.
Component 5 is correlated with the school leavers rate, with a loading of 0.959,
and to the proportion of resident population aged between 6 and 15 years old not
attending the educational system (0.951). Once the fifth component is constituted by
variables negatively related to the dropout of school, it will be called “School leaving”.
According to the graphical analysis presented below (Figure 10), the
municipalities with the highest school leaving are São Vicente, Idanha-a-Nova, Gavião,
Lagoa (Açores) and Aljustrel. The lowest values occur in Manteigas, Castelo de Vide,
Porto Moniz, Ourique and Vila do Bispo.
Figure 10. School leaving: highest and lowest values
42
Figure 11. School leaving per municipality
As for a regional analysis, presented in Figure 11, it can be verified the existence
of an overall pattern for the school leaving: the autonomous regions present, in general,
high values for this component, that can be explained for the existence of low incomes,
N
0.5 ; 3.7-0.1 ; 0.5-0.6 ; -0.1-2.1 ; -0.6
43
-3
-2
-1
0
1
2
3
4
5
Alj
ezu
r
Lag
os
Lou
lé
Alb
ufe
ira
Cas
cais
Fel
gu
eira
s
Lou
sad
a
Co
nst
ânci
a
São
Jo
ão d
a M
adei
ra
Pam
pil
ho
sa d
a S
erra
which leads to the early entrance in the labour market (and, as a consequence, to the
abandon of the educational system). The regions of the mainland coast present the
lowest values of school leaving.
Finally, the sixth component relates only to the proportion of resident population
of foreign nationality, with a loading of 0.775. The name chosen for this component is
“Foreign population”.
Analyzing Figure 12, we can conclude that four out of the five Portuguese
municipalities with greater foreign population (Aljezur, Lagos, Loulé, and Albufeira)
are located in the Algarve region. As for municipalities that have less foreign
population, we have Felgueiras, Lousada, Constância, São João da Madeira and
Pampilhosa da Serra.
Figure 12. Foreign population: highest and lowest values
44
Figure 13. Foreign population per municipality
The regions with more foreign population, according to Figure 13, are Algarve,
Lisboa and Alentejo. As mentioned in Section 3 and Figures 12 and 13, the foreign
population represents a significant proportion of residents in the Algarve region, which
can be explained by the weather conditions that make this region a tourism pole very
N
0.4 ; 4.7-0.1 ; -0.4-0.6 ; -0.1-2.6 ; -0.6
45
attractive for foreigners. Also Lisboa has a high value of foreign population, which can
be explained by the fact that it is the country’s capital, where the economic activity and
the services are more concentrated, which contributes to the attraction of the foreign
population, in search of an opportunity in a large labour market.
The regions that present lower expression of foreign population are Centro,
Norte, Região Autónoma dos Açores and Região Autónoma da Madeira. Once the
autonomous regions show low attractiveness (Figure 5), one expects a small presence of
foreign population in these regions.
46
Table 7. Component score coefficient matrix
Label Name
Component
1 2 3 4 5 6
Demographic
sustainability Attractiveness Qualification Commuting
School
learning
Foreign
population
Ind01
Average time spent on
commuting of employed or student resident
population
-0.056 -0.053 0.013 0.415 0.032 0.105
Ind04 Ageing ratio -0.214 0.059 -0.006 -0.006 0.048 -0.111
Ind05 Social diversity ratio -0.121 -0.044 -0.008 -0.045 -0.001 0.338
Ind06 Renewal index of the
population in active age 0.252 -0.048 -0.045 -0.068 0.028 -0.091
Ind07 Potential sustainability
ratio 0.242 -0.037 -0.003 -0.007 0.037 -0.048
Ind09
Proportion of employed
population outside the
territorial unit
0.000 -0.100 0.122 0.428 0.049 -0.022
Ind11
Proportion of non-resident population employed in
the territorial unit
-0.061 0.252 -0.024 0.087 0.022 -0.279
Ind12
Proportion of resident
population with higher education completed
-0.016 0.165 0.008 -0.015 -0.002 0.158
Ind13
Proportion of resident
population aged between 18 and 24 years old with
the lower secondary
education 3rd cycle completed not attending
educational system
0.178 -0.033 -0.182 -0.168 0.037 -0.114
Ind15
Proportion of resident
population aged between 6 and 15 years old not
attending the educational
system
-0.003 -0.003 0.070 0.041 0.511 0.012
Ind17
Proportion of resident
population of foreign
nationality
-0.023 -0.029 -0.060 -0.007 -0.025 0.611
Ind19
Proportion of employed or student resident
population using
collective mode of transport in commuting
0.002 -0.013 -0.150 0.256 -0.021 -0.092
Ind20
Proportion of employed
or student resident population using
individual mode of
transport in commuting
0.037 -0.084 0.385 0.055 0.073 -0.043
Ind21
Proportion of resident
population that comes in
the territorial unit
(commuting)
-0.057 0.354 -0.110 -0.129 -0.033 -0.275
Ind24 Proportion of car usage on
daily journeys 0.032 -0.082 0.391 0.061 0.092 -0.046
Ind25 School leavers rate 0.002 -0.002 0.085 0.051 0.522 -0.040
Ind26 Activity rate of resident population
0.160 0.011 0.037 -0.018 -0.027 0.159
Ind27 Illiteracy rate -0.145 -0.020 -0.088 -0.013 0.022 -0.039
Ind28 Unemployment rate 0.047 -0.066 -0.141 0.080 0.038 0.256
Ind29 Per capita purchasing
power -0.020 0.235 -0.042 -0.086 -0.005 0.099
Ind30 Average monthly earning -0.019 0.220 -0.069 -0.081 0.023 0.069
47
The component score coefficient matrix, presented in Table 7, shows the
weighting of variables for each component extracted. The scores for each component
are obtained by summing the product between the values for each standardized variable
and the score coefficients of the components.
In the following section, we proceed to the cluster analysis, in order to
complement the work developed with factor analysis.
4.3 Cluster analysis
Cluster analysis consists in grouping individuals (for example, territorial units)
in homogeneous classes for a more concise study about profiles that are common to the
individuals in a given class, but that separate these from other individuals.
The method of cluster analysis used was the K-means, consisting of a non-
hierarchical clustering technique that forces the user to set the number of clusters (K).
This method allows the reallocation of an individual to a different cluster from the one
in which it was initially included, reducing the probability of wrong assignments.
Furthermore, it has the advantage of being easier to apply to arrays of very extensive
data.
We considered, as the starting point, the six main components extracted from the
factor analysis, which we named: demographic sustainability, attractiveness,
qualification, commuting, school leaving and foreign population. We chose the result
associated with six clusters (K=6), considering that this assumption ensures a balance
between the analytical capacity and the differentiation of the municipal profiles.
48
Table 8. Number of cases in each cluster
Table 8 presents the number of municipalities in each cluster. According to the
results presented in this table and in the cluster membership table presented below, we
conclude that there is substantial heterogeneity among the six clusters in terms of size,
with the dimensional range varying between 6 and 127 cases per cluster.
According to the analysis of the cluster membership table (Appendix) and the
map shown in Figure 14, we can conclude that the municipalities that belong to cluster
1 are located, mainly, in the Norte region, particularly in the Tâmega region, and in the
Região Autónoma dos Açores. As for the municipalities that comprise the cluster 2,
they are located in the inner of the Norte region, and in the regions of Centro and
Alentejo. The six municipalities that form the cluster number 3 are metropolitan centers,
located in the Norte and in the regions of Lisboa, Centro and Alentejo. The fourth
cluster, by its size and heterogeneity of location, does not obey to a general criterion
and corresponds mode to the cases. Cluster 5 is mainly composed by municipalities of
the Algarve region and cluster 6 of municipalities of the metropolitan areas.
1 31
2 58
3 6
4 127
5 36
6 50
Valid 308
Missing 0
Cluster
50
Table 9. ANOVA
The ANOVA table seeks to determine which of the variables allow for the
separation of the clusters. Thus, variables with higher cluster mean square and smaller
error mean square contribute more to the definition of clusters. Once the value of F is
given by the ratio between the cluster mean square and the error mean square, the larger
the value of F, the greater the contribution of the respective variable to set the clusters.
According to the results presented in table 9, it can be concluded that demographic
sustainability has the greatest influence in forming the clusters and the qualification has
the smaller.
Table 10. Final clusters centres
Cluster
Self-centred
territories,
unskilled
and with
demographic
potential
Territories
without
demographic
and school
potential
Attractive
and low
skilled
territories
Moderately
skilled
territories
Territories
with foreign
integration
Integrated
territories
with
demographic
potential and
low-skilled
Demographic
sustainability 1.601 -1.0569 -0.405 -0.167 0.106 0.630
Attractiveness -0.330 -0.221 4.855 -0.043 -0.085 0.049
Qualification -0.586 -0.328 -1.066 0.591 0.122 -0.717
Commuting -1.136 -0.287 -0.433 -0.073 -0.092 1.343
School
leaving 0.222 1.014 -0.240 -0.573 0.333 -0.070
Foreign
population -0.438 -0.307 -1.087 -0.183 1.802 -0.075
The final clusters centres table (Table 10) presents the mean for each variable
within each cluster, thereby enabling to describe the profile of each cluster.
Cluster Error F Sig.
Mean Square df Mean Square df
Demographic
sustainability 33.808 5 0.457 302 74.008 0.000
Attractiveness 29.648 5 0.526 302 56.396 0.000
Car usage 18.839 5 0.705 302 26.735 0.000
Commuting 27.412 5 0.563 302 48.713 0.000
School leaving 21.487 5 0.661 302 32.517 0.000
Foreign
population 27.987 5 0.553 302 50.591 0.000
51
According to the analysis of the final clusters centres table, we can notice that
the 31 municipalities that belong to the cluster 1 show strong demographic
sustainability, weak qualification and inexpressive commuting. This cluster is formed,
mainly, by municipalities that belongs to Tâmega and to the Região Autónoma dos
Açores (almost entirely), which, as it was found in the factor analysis, is endowed with
a high degree of demographic sustainability but quite significant dropout rates, which
causes a very low population qualification. In this sense, this cluster will be named as
“Self-centred territories, unskilled and with demographic potential”.
The 58 municipalities which are included in cluster 2 exhibit strong school
leaving and a reduced demographic sustainability, so it will be named as “Territories
without demographic and school potential”. This cluster mainly includes municipalities
that belong to the inner region of Norte, Centro and Alentejo. As determined previously,
there is a growing desertification of the inner municipalities, which in turn causes a
reduced demographic sustainability.
The 6 municipalities included in cluster 3 have great attractiveness but low
qualification and foreign population. In this sense, it will be named as “Attractive and
low skilled territories”. The metropolitan centres are included in this cluster. According
to the factor analysis and the conclusions presented in Section 3, the metropolitan areas
of Lisboa and Porto are endowed with great attractiveness for the economic and the
population concentration that they encompass.
The fourth cluster, which aggregates the largest number of municipalities (127),
shows some degree of qualification and weak school leaving, so it can be called as
“Moderately skilled territories”. This cluster, as showed in Figure 14 and Appendix,
includes, mainly, municipalities located in Centro and Alentejo.
As for cluster 5, the 36 municipalities have, as most obvious feature, a strong
foreign population, so it will be named as “Territories with foreign integration”. As it
can be seen in Appendix 1, all the 16 municipalities of Algarve, except Alcoutim,
belong to cluster 5. As seen in Section 3, Algarve is a tourism region highly appreciated
by foreigners, who later choose to come and live there. In this sense, Algarve has a
significant rate of foreign residents mainly due to climatic factors.
52
For the 50 municipalities that make up the cluster 6 there is strong commuting,
some demographic sustainability and a weak qualification, so this cluster will be named
as “Integrated territories with demographic potential and low skilled”. These
municipalities are located, primarily, in metropolitan areas, which explains the high
commuting, as seen in Section 3.
53
5 Conclusions and future developments
The workforce is a productive factor (both in quantity and quality) offered by
individuals in exchange for compensation, usually monetary. In qualitative terms, the
supply of skilled labour is only possible if there is an investment in education and
training, seen as mechanisms of human capital enhancement.
The spatial division of the labour market and the geographical, cultural and
dimension specificities are a reality that must be considered when designing and
implementing economic and social policies, in order to ensure that they reach the same
it proposes to achieve. Aspects such as mobility that occurs between local markets, the
relationship that exists between output and unemployment and the skills mismatch must
be taken into account in the design of programs to reduce the long-term unemployment
and other problems inherent to local labour markets.
The factor analysis allowed us to draw some conclusions about Portugal with
regard to aspects such as demographic sustainability, attractiveness, qualification,
commuting, school leaving and foreign population. The regions with the highest
population sustainability are the Região Autónoma dos Açores and the Norte region,
while the regions with less sustainability are Centro and Alentejo. The most attractive
municipalities are located on the coast, specifically in the metropolitan areas of Lisboa
and Porto. The inner and the autonomous regions have negative attractiveness. Centro is
the region with higher qualification and the Norte, Alentejo and the autonomous regions
are poorly qualified. In the coastal areas of Lisboa and in the Centro, Norte and Região
Autónoma da Madeira the commuting is high, and in the Região Autónoma dos Açores,
Alentejo and Algarve it is reduced. We are witnessing a standard pattern in the country
in relation to commuting, verifying that the metropolitan areas, along with the area of
Coimbra, in the Centro region, have higher values for this factor, while the inner
regions have poor commuting. The autonomous regions have high school leaving rates
while in the mainland coast regions there are low values for this component. Finally, the
presence of foreign population in the country is stronger in the Algarve and Lisboa and
weak in the autonomous regions, in Centro and in Norte.
54
According to the cluster analysis, Portugal can be divided into six distinct
clusters, according to the figures presented for each factor, in the factor analysis. Thus,
it is possible to conclude that the Tâmega and Região Autónoma dos Açores
municipalities are self-centred, with demographic potential but with low qualification.
The municipalities of the inner Norte, Centro and Alentejo are territories without
demographic and educational potential. The metropolitan areas, while low skilled, are
very attractive territories. The fourth cluster, which reflects the mode of the cluster
analysis, includes municipalities of Centro and Alentejo, which are moderately skilled.
The Algarve region has a strong integration of foreign population. Finally, the
municipalities in the metropolitan centres of the country are classified as being
integrated territories with demographic potential but with few qualifications.
The results obtained in the factor and in the cluster analysis reinforce some
aspects that characterize Portugal, which were referred in Section 3, including the
centralization of the economic activity on the coast, especially in the metropolitan areas
of Lisboa and Porto, the ageing population along with its concentration on the coast and
consequent desertification of the inner regions and the increasing flexibility in the
labour market.
To complement the spatial dimension with the time perspective, in order to
assess a potential change in territorial disparities, it would be interesting to draw a
comparison between statistical data of censuses of 2001 and 2011 for a set of indicators
related to the labour market.
In order to have a deeper spatial analysis, it would be relevant to look at
different levels of NUTS (for example level 2) or to lower scales, focusing the study at
the level of parishes, since the relevant spatial unit may vary with the specific issue.
According to the results obtained from the factor and clusters analysis, it could
be interesting to explore the side of the social reform, in what concerns to the
development of public policies to combat the school leaving and the ageing population
in the regions where these indicators reveal high values.
It could also be useful to deepen this analysis in a firm’s perspective, in the
human resources department, with the implementation of policies at the level of
55
attractiveness and incentive compensation, in order to combat the desertification of the
inner regions of the country.
56
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Appendix. Cluster membership table
Self-centred territories,
unskilled and with
demographic potential
Territories without
demographic and
school potential
Attractive
and low
skilled
territories
Moderately
skilled
territories
Territories
with foreign
integration
Integrated territories
with demographic
potential and low-
skilled
Angra do Heroísmo Alcácer do Sal Constância Abrantes Albufeira Alandroal
Barcelos Alcoutim Lisboa Águeda Aljezur Alcochete
Barrancos Alfândega da Fé Oeiras Aguiar da
Beira Almeirim Alenquer
Calheta (Açores) Alijó Porto Albergaria-a-Velha
Alpiarça Almada
Campo Maior Aljustrel São João da
Madeira Alcanena Benavente Amadora
Corvo Almeida Sines Alcobaça Bombarral Amarante
Fafe Alter do Chão Almodôvar Caldas da
Rainha Amares
Felgueiras Alvito Alvaiázere Cascais Azambuja
Funchal Ansião Anadia Castro Marim Baião
Guimarães Arcos de Valdevez Arganil Chaves Barreiro
Horta Avis Armamar Cuba Cabeceiras de Basto
Lagoa (Açores) Beja Arouca Elvas Câmara de Lobos
Lajes das Flores Belmonte Arraiolos Faro Castelo de Paiva
Lousada Borba Arronches Lagoa
(Algarve) Celorico de Basto
Mourão Boticas Arruda dos
Vinhos Lagos Cinfães
Nordeste Calheta (Madeira) Aveiro Loulé Entroncamento
Paços de Ferreira Carrazeda de Ansiães Batalha Lourinhã Espinho
Paredes Castanheira de Pêra Braga Mafra Gondomar
Ponta Delgada Castro Daire Bragança Monchique Loures
Porto Santo Castro Verde Cadaval Montijo Machico
Povoação Chamusca Caminha Moura Maia
Ribeira Grande Coruche Cantanhede Odemira Marco de Canaveses
Santa Cruz da Graciosa Crato Carregal do Sal
Olhão Matosinhos
Santa Cruz das Flores Ferreira do Alentejo Cartaxo Peniche Mesão Frio
São João da Pesqueira Figueira de Castelo Rodrigo Castelo Branco Ponte de Sor Miranda do Corvo
São Roque do Pico Fornos de Algodres Castelo de
Vide Portimão Moita
Velas Freixo de Espada à Cinta
Celorico da Beira
Salvaterra de Magos
Mondim de Basto
Vila do Porto Gavião Coimbra São Brás de
Alportel Odivelas
Vila Franca do Campo Góis Condeixa-a-Nova
Serpa Palmela
Vila Praia da Vitória Grândola Covilhã Setúbal Penafiel
Vizela Idanha-a-Nova Esposende Silves Ponta do Sol
Mértola Estarreja Tavira Ponte de Lima
Miranda do Douro Estremoz Torres Vedras Portel
Mirandela Évora Vidigueira Póvoa de Lanhoso
63
Self-centred territories,
unskilled and with
demographic potential
Territories without
demographic and
school potential
Attractive
and low
skilled
territories
Moderately
skilled
territories
Territories
with foreign
integration
Integrated territories
with demographic
potential and low-
skilled
Mogadouro Ferreira do
Zêzere Vila do Bispo Resende
Monforte Figueira da Foz
Vila Real de Santo António
Ribeira Brava
Montalegre Figueiró dos
Vinhos Santa Cruz
Mora Fronteira Seixal
Murça Fundão Sesimbra
Nisa Golegã Sintra
Oleiros Gouveia Tabuaço
Pampilhosa da Serra Guarda Tarouca
Penamacor Ílhavo Terras de Bouro
Pinhel Lajes do Pico Trofa
Ribeira de Pena Lamego Valongo
Sabugal Leiria Vieira do Minho
São Vicente Lousã Vila do Conde
Sardoal Mação Vila Franca de Xira
Torre de Moncorvo Macedo de
Cavaleiros Vila Nova de Gaia
Trancoso Madalena Vila Verde
Valença Mangualde
Valpaços Manteigas
Vila Flor Marinha
Grande Vila Nova de Foz Côa Marvão
Vila Pouca de Aguiar Mealhada
Vila Velha de Ródão Meda
Vimioso Melgaço
Vinhais Mira
Moimenta da
Beira
Monção
Montemor-o-
Novo
Montemor-o-Velho
Mortágua
Murtosa
Nazaré
Nelas
Óbidos
Oliveira de Azeméis
Oliveira de
Frades
64
Self-centred territories,
unskilled and with
demographic potential
Territories without
demographic and
school potential
Attractive
and low
skilled
territories
Moderately
skilled
territories
Territories
with foreign
integration
Integrated territories
with demographic
potential and low-
skilled
Oliveira do
Bairro
Oliveira do Hospital
Ourém
Ourique
Ovar
Paredes de
Coura
Pedrógão
Grande
Penacova
Penalva do Castelo
Penedono
Penela
Peso da Régua
Pombal
Ponte da Barca
Portalegre
Porto de Mós
Porto Moniz
Póvoa de
Varzim
Proença-a-
Nova
Redondo
Reguengos de
Monsaraz
Rio Maior
Sabrosa
Santa Comba
Dão
Santa Maria da
Feira
Santa Marta de
Penaguião
Santana
Santarém
Santiago do Cacém
Santo Tirso
São Pedro do Sul
Sátão
Seia
Sernancelhe
Sertã
65
Self-centred territories,
unskilled and with
demographic potential
Territories without
demographic and
school potential
Attractive
and low
skilled
territories
Moderately
skilled
territories
Territories
with foreign
integration
Integrated territories
with demographic
potential and low-
skilled
Sever do
Vouga
Sobral de Monte Agraço
Soure
Sousel
Tábua
Tomar
Tondela
Torres Novas
Vagos
Vale de
Cambra
Vendas Novas
Viana do Alentejo
Viana do
Castelo
Vila de Rei
Vila Nova da Barquinha
Vila Nova de
Cerveira
Vila Nova de
Famalicão
Vila Nova de Paiva
Vila Nova de
Poiares
Vila Real
Vila Viçosa
Viseu
Vouzela