The differences in Labour and Capital Productivity and Education in Europe were used to provide a comprehensive evaluation of the performance of technical efficiency of entrepreneurship activities and new firm creation. For this purpose, two distinct methodologies were used: a non-parametric Data Envelopment Analysis (DEA) and a parametric Stochastic Frontier Analysis (SFA). Firstly, to obtain the ranking for assessing entrepreneurship efficiency, two outputs (birth rate and total early-stage entrepreneurial activity) were combined, and four inputs (long-term unemployment rate, household disposable income ratio S80/S20; young people neither in employment nor in education or training and employment rate of recent graduates) were applied. In the second step, two estimators were used to examine the effect of capital productivity, labour productivity, non-qualified labour, and population share of education on the technical efficiency score of entrepreneurial outcomes. The estimators were the Tobit regression, including random effects and mixed effects models, and the quantile regression model. The results for technical efficiency in the first step reveal that during 2008–2014 and after this period, 2015–2019, the European countries of Lithuania, Estonia and the Netherlands present the highest efficiency scores according to the DEA-CRS model. Applying the SFA technique, Belgium, Germany, and Malta show the highest levels of inefficiency during both periods of financial crisis. The second stage results demonstrate that there was a negative and significant effect of capital productivity on the efficiency scores of entrepreneurial outcomes in the periods of financial crises. This statistical evidence mirrors the observed decrease in average EU investments in fixed capital, structural changes in the labour market, and structural changes in education level in the active and inactive population, particularly in countries with economic growth, during the sub-periods between 2008 and 2019 under consideration.
Notes
Highlights
Application of both the SFA and the DEA to make a comparative analysis of the results of entrepreneurship activities and newly created companies.
Labour productivity and the quality of capital investment show a significant impact on the technical efficiency of new business creation.
During financial crises, capital productivity negatively impacts the efficiency of entrepreneurial outcomes.
Higher levels of education lead to increased labour productivity and capital investment, thereby enhancing competitiveness and economic growth in Europe.
Effective policies can improve access to finance, promote education and training, and create a more favourable environment for new business creation.
Structural inequalities imply governments and stakeholders can reinforce the entrepreneurial ecosystem, promoting innovation and sustainable economic development.
Aspectos destacados
Aplicación tanto del SFA como del DEA para realizar un análisis comparativo de los resultados de las actividades emprendedoras y las empresas de nueva creación.
La productividad laboral y la calidad de la inversión en capital muestran un impacto significativo en la eficiencia técnica de la creación de nuevas empresas.
Durante las crisis financieras, la productividad del capital afecta negativamente la eficiencia de los resultados emprendedores.
Niveles más altos de educación conducen a un aumento de la productividad laboral y de la inversión en capital, mejorando así la competitividad y el crecimiento económico en Europa.
Políticas efectivas pueden mejorar el acceso a la financiación, promover la educación y la formación, y crear un entorno más favorable para la creación de nuevas empresas.
Las desigualdades estructurales implican que los gobiernos y las partes interesadas pueden reforzar el ecosistema emprendedor, promoviendo la innovación y el desarrollo económico sostenible.
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Introduction
Entrepreneurship is the ability to identify and analyse opportunities, taking risks to form and manage a business to take advantage of those opportunities. To measure the level of entrepreneurship, many researchers use the establishment of new companies or the entrepreneurial activity index (Castaño et al. 2015; Rico et al. 2019).
Over the last 15 years, following the 2008 global economic and financial crisis, the Covid-19 pandemic and the war in Ukraine, the Eurozone economy has suffered reduced growth rates (Eurostat 2023b). Thus, throughout Europe, entrepreneurship has played an essential role in the development of the economy (Bosma et al. 2018; Crudu 2019), and a recent study demonstrates that entrepreneurship increases productivity (Ghazy et al. 2022). Another example is the leadership of the European Union in environmental sustainability initiatives, which foster opportunities for entrepreneurship (Ruiz et al. 2023). Exploring Europe holds intrigue due to its heterogeneity, as the diverse cultures across countries significantly shape entrepreneurial intentions (Paul et al. 2017).
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Therefore, national and supernational efforts have been made to encourage the creation of companies and support entrepreneurship at an early stage, removing specific existing barriers (Roman et al. 2018). But for this to happen correctly and effectively, it is necessary to understand the factors that influence entrepreneurship in the initial phase since there is an enormous heterogeneity among the different entrepreneurs (Du and O’Connor 2018).
In the literature review carried out and presented in the second section of this study, it can be seen that a set of factors can categorically influence the decision of individuals to become entrepreneurs. Such factors can be related to individual characteristics (Lee et al. 2022), associated with education (Alakaleek et al. 2023), linked to risk tolerance (Hvide and Panos 2014), framed by the institutional structure of a country (Sendra-Pons et al. 2022), affected by employment and unemployment (Fonseca 2022), among other economic and social factors.
The field of entrepreneurship has seen substantial growth in recent years (Braunerhjelm and Lappi 2023; Dileo and García Pereira 2019; Dutta and Sobel 2018; Passaro et al. 2018; Roman et al. 2018; Volery et al. 2013). Dileo and García Pereira (2019) indicate that individuals with higher education are more likely to pursue entrepreneurship, suggesting that education and training policies can shape entrepreneurial competencies. Policy measures, especially those involving regulation, can directly or indirectly affect the level of entrepreneurship by creating opportunities for new businesses (Castaño et al. 2016; Moro et al. 2020). Moro et al. (2020) also highlight that tax incentives play a crucial role in determining the rewards and risks of entrepreneurial activities. Governments increasingly promote entrepreneurship as a means to spur economic and social growth and recognize the necessity of fostering more entrepreneurial societies (Sendra-Pons et al. 2022). Public policies aim to leverage the essential role of entrepreneurs in economic expansion, particularly those who are innovative and capable of transforming new technologies and business opportunities into profitable ventures (Hahn et al. 2020). Entrepreneurship is crucial for driving innovation and technological progress, which are key to economic growth (Fotopoulos and Storey 2019; Martínez-Rodriguez et al. 2020). For instance, Kostakis and Tsagarakis (2022) argue that the European Union can achieve progressive circularity by encouraging entrepreneurial opportunities to tackle contemporary challenges like climate change and resource scarcity. During crises, entrepreneurial activities have been used as a strategy to manage economic shocks (Krishnan et al. 2022). Meyer and De Jongh (2018) found that in the EU, entrepreneurship mitigates economic disruptions. González-Pernia et al. (2018) observed that entrepreneurship in Spain mirrored the economic recession of 2007–2010, reflecting a lower perception of opportunities during the global crisis. Galindo-Martín et al. (2021) noted that while entrepreneurship promotes sustainable development, it suffered setbacks during the Covid-19 pandemic. Parker and Van Alstyne (2012) found that economic recovery and booms often follow increases in entrepreneurship, highlighting a bidirectional relationship between entrepreneurship and economic cycles. For example, initial periods of crises see greater entrepreneurial challenges, while need-based entrepreneurship tends to rise significantly post-crisis (Martínez-Rodriguez et al. 2020). However, it is crucial to consider the specific nature of each crisis (Lee et al. 2023).
Thus, a cyclical study of entrepreneurship is needed to better assess the scope of the most recent crises (Galindo-Martín et al. 2021). Analysing entrepreneurial behaviour in homogeneous periods will support decision-making to promote entrepreneurship and consequent economic growth (Martínez-Rodriguez et al. 2020). This argument suggests the pertinence of an analysis of the influencing factors of entrepreneurial activities and the creation of new companies in periods of crisis and after these crises. A study of this kind will aim to clarify which determinants impact these entrepreneurship outcomes. Hence, the need for this study arises from the significant role that entrepreneurship plays in the European economy, especially in times of economic downturns and crises. Besides the crises, it is also important to mention the economic rise of Asia, especially China and other Asian countries, over the past 10 years, which has posed strong competition for European companies in various sectors (Ciani and Mau 2023). Therefore, a longitudinal study of the past 10 years can provide a comprehensive and detailed insight into entrepreneurship in Europe. This is particularly relevant because, in today’s economy, the ability to adapt to rapid changes, with an emphasis on innovation and entrepreneurship, is crucial for success (Badri and Badri 2020).
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Bearing this in mind, this article aimed to evaluate the results of entrepreneurial activity based on the performance of 26 EU-27 countries and measured by Total Entrepreneurial Activity (TEA) and Birth Rate of enterprise in the reference period. These outcomes are the result of economic determinants such as unemployment, technology, investment and human capital. This supports the suggestion of Silva et al. (2022) that future studies should incorporate more than an indicator of entrepreneurship beyond TEA, thereby giving rise to a distinctive investigation. Moreover, this study also differs from others by focusing on assessing the impacts of various socio-economic variables on entrepreneurship specifically in the European context, particularly during crisis periods and in the post-crisis period, supporting Galindo-Martín et al.’s (2021) suggestion. Given the diversity of cultures and economic conditions across European countries, the contribution to the literature reviewed is based on a proposal concerning a theoretical framework which develops the assumptions of the relationship between entrepreneurship, unemployment, and the determinants of economic growth. This proposal is based on models of economic growth, and their determinants including the employment-unemployment pairing and their entrepreneurship linkage.
Thus, following this theoretical framework, whose proposed equations will be considered by applying in the first approach, the study used the non-parametric frontier through Data Envelopment Analysis (DEA), which presented technical efficiency scores for each European country considered a Decision-Making Unit (DMU). In a second approach, the study used the stochastic frontier function (SFA) analysis technique, equally considering the two outcomes and the same inputs used in the DEA approach.
Consequently, this article aimed to answer the following questions: (i) How different or how similar are the technical efficiency scores in the two different approaches in terms of the positioning of European countries? (ii) What are the average scoring differentials for European countries in the sub-periods of the sample, particularly in the period of the 2008–2010 global crisis, in the period of the 2011–2014 sovereign crisis and after this last crisis that is 2015–2019?
The originality of this study lies in three contributions: first, it presents an overview of the performance of entrepreneurial activities and the creation of new firms in Europe during the crisis periods and in the post-crisis period 2015–2019. Second, it assesses the impact of socioeconomic variables on entrepreneurial activities and firms’ creation. Specifically, the present investigation uses a heterogeneous sample, with different European countries and respective different levels of Human Capital and Labour Market. This justifies the application of both the SFA and the DEA to make a comparative analysis of the results of entrepreneurship activities and newly created companies obtained by these two methodologies. Therefore, the use of these two methods can be complementary. The DEA makes it possible to deal with size heterogeneity between European countries. In contrast, the SFA is more adapted to possible sampling errors. It should be remembered that there are different countries and data from various business contexts, so the information had to be processed to ensure minimum or maximum harmonisation. Third, through the examination of a heterogeneous sample of European countries with varying levels in the indicators used, this analysis provides a more comprehensive understanding of the determinants of entrepreneurship in Europe and suggests possible areas of policy intervention to promote economic growth and innovation. Thus, based on these three contributions, this study represents an opportunity to provide valuable insights for stakeholders and incentive policymakers, including self-employment policies to increase entrepreneurial activity and/or the creation of successful new firms.
The remainder of the article is structured as follows. The “Literature review” section provides an overview of the theoretical framework and research model. The “Theoretical framework” section presents the theoretical framework, while the “Data and methodology” section details the data, variables, and methodologies employed. The results are presented in the “Results” section, followed by a discussion and implications in the “Discussion of findings” section. Lastly, the “Conclusions, limitations, and future studies” section offers the main conclusions, discusses limitations, and provides suggestions for future studies.
Literature review
Socioeconomic determinants
Unemployment as a catalyst for entrepreneurial pursuits
Research on the impacts of unemployment on entrepreneurship is a relevant topic (Leitão and Capucho 2021). In short, the European Union considers an unemployed person as someone between 15 and 74 years old who is available for paid employment or is self-employed and actively looking for work (Eurostat 2023a).
The relationship between unemployment variation and firm creation is dynamic and non-linear, varying from country to country (Faria et al. 2010). For example, the higher the unemployment rate, the higher the self-employment rate (Payne and Mervar 2017); however, O'Leary (2022) indicates that only in high-performing regions unemployment increases business opening rates. Therefore, appropriate public policies are fundamental (Castaño et al. 2016; Moro et al. 2020; Veiga and Teixeira 2021), and an adequate institutional context positively affects the dynamics of entrepreneurship (Fonseca 2022) and can help create a more inclusive and supportive business environment (Mathibe and Oppong 2024). For example, in France, to try to combat unemployment, public policies were implemented to support the creation of a firm, resulting in a significant increase in the creation of companies (Hombert et al. 2020). However this analysis must be done in the medium to long term because the unemployed are more likely to start companies, but these tend to be smaller and fail more frequently, absorbing resources for low-productivity business (Fonseca 2022). Self-employment is pro-cyclical; in other words, it increases during economic booms and decreases during recessions. Self-employment also explains an economically significant part of the employment adjustment (Unel and Upton 2023).
In addition, it is vital to contextualize certain policies; for example, generous unemployment compensation can discourage entrepreneurial initiative (Bilan and Apostoaie 2023; Leitão and Capucho 2021), especially in more developed countries where there is coexistence of excellent social protection and strong risk aversion (Leitão and Capucho 2021). Nonetheless, Abdesselam et al. (2018) emphasize the significance of devising public policies during periods of crisis or economic resurgence to encourage entrepreneurship and mitigate unemployment.
In another context, education and family-related factors play an important role in youth, not in education, employment, or training (Henderson et al. 2017; Rahmani and Groot 2023). Generally, their income and access to resources and opportunities are low, and their economic and entrepreneurial prospects are unlikely to improve without the necessary skills.
Another example is the European Commission’s promotion of an “active ageing” policy, which coincides with the expectations of senior entrepreneurs (individuals aged 50 or over) who seek autonomy and self-fulfilment in entrepreneurship (Soto-Simeone and Kautonen 2021).
Thus, the indicators used for analysis were “Young people neither in employment nor in education or training (%)” and “Employment rate of recent graduates (%)” from the Eurostat.
Human capital as a catalyst for entrepreneurial pursuits
Human capital, encompassing knowledge, skills, and attitudes, is vital for entrepreneurship (Iacobucci and Perugini 2021; Xuan Ng et al. 2023). Xie et al. (2021) highlight its importance in longitudinal entrepreneurship studies, noting that entrepreneurs’ abilities and motivations catalyze new businesses (Barba-Sánchez et al. 2017). CEO skills, for example, significantly advance entrepreneurial projects like green entrepreneurship (AlQershi et al. 2023). Proper alignment of data and human capital enhances decision-making and innovation (Hu and Fei 2023), while digitalization poses new challenges for emerging businesses (Gomes and Lopes 2022; Silva et al. 2023).
Education and training are crucial for developing entrepreneurial skills (Silva et al. 2023) and fostering an entrepreneurial spirit (Neto et al. 2024; Ouni and Boujelbene 2023; Paola et al. 2023). Universities play a key role by offering resources like applied science, emerging technologies, and specialized knowledge (Neto et al. 2024). Entrepreneurship training develops essential skills in attitude, knowledge, and abilities (Boubker et al. 2021). Extracurricular activities at universities enhance students’ entrepreneurial mindsets (Cui et al. 2021), and education contributes to startups’ international success (Johnstone et al. 2018). Even overeducation can be beneficial at the regional level, meeting the demand for highly skilled labour and fostering entrepreneurship (Ramos et al. 2012).
Considering the perspectives of this discussion, this article used the “Employment rate of recent graduates (%)” as an indicator of human capital, as a previous study has done (Silva et al. 2022), also corroborating the study by (Ramos et al. 2012) which used several human capital indicators based on the percentage of the active population and their level of education. However, it should be noted that there are differences between “Employment rate of recent graduates (%)” and “Young people neither in employment nor in education or training (%)”. The first represents young people who are still strongly engaged with the challenges and opportunities of the job market. In contrast, the second represents young individuals with high risks of not being confronted with the challenges and opportunities of the job market and/or education. Thus, these two indicators offer different perspectives (Recalde et al. 2019).
Disposable income as a catalyst for entrepreneurial pursuits
According to the OECD (2023a), household disposable income refers to the total amount of money available to a household, such as wages and salaries, and income from pensions, among other revenues. Understanding the dynamics between disposable household income and entrepreneurship is critical. Firstly, families with higher disposable income have more funds available to allocate to entrepreneurial activities, for example, to seek out opportunities or finance start-up costs (Molina 2020). Albert et al. (2023) showed that during the Covid-19 recession, high-income families coped better with the situation because they had the resources to explore new business opportunities. Second, more affluent families generally have better networking, which provides them with good business opportunities (Arenius and De Clercq 2005), and families with more income invest more in higher education; consequently, they become students with entrepreneurial potential (Sharma 2014). Third, household disposable income directly affects consumer demand for goods and services (Alp and Seven 2019), as well as countries with greater equality between different population groups tend to have a lower proportion of people living in situations of deprivation (OECD 2020). Consequently, entrepreneurs often rely on consumer spending or demand to sustain and expand their businesses (Qu and Mardani 2023), and profitability is vital to the success of the entrepreneur (Mansikkamäki 2023). Indeed, the entrepreneurs of new businesses, especially startups, face more significant financial challenges compared to those of established firms. This situation is exacerbated by the essential investments required in the early stages, such as refining the business model, product development, and marketing activities (Lukeš and Zouhar 2024).
However, it should also be mentioned that in developing countries, need-oriented entrepreneurship is stronger, while opportunity-oriented entrepreneurship is more robust in developed countries (Almodóvar-González et al. 2020). Likewise, entrepreneurs from poorer families tend to resort to need-oriented entrepreneurship, while entrepreneurs from wealthier families tend towards opportunity-oriented entrepreneurship (Molina 2020).
Therefore, based on this evidence, it can be seen that there is a dynamic and multiple relationship between household disposable income and entrepreneurship. In this regard, this work used the “household disposable income ratio S80/S20, in (%)” as an independent variable and a disposable household income indicator (OECD 2023b).
Summary of concepts, indicators/measures and supporting studies
The previous discussion presents an integrated analysis of the socio-economic concepts and entrepreneurship. Additionally, it suggests measures to statistically analyse these concepts. However, it is important to highlight that these indicators or measures associated with the concepts have already been properly applied in previous studies. So, Table 1 serves as a reference point for readers interested in understanding the key indicators and the literature surrounding them. By providing a centralized location for this information, Table 1 facilitates quick access to relevant sources, and it serves as supporting evidence for arguments related to specific indicators. It provides a foundation of literature to build upon and reference in discussions: on entrepreneurship, unemployment, human capital and disposable income.
The findings confirm the bidirectional causality between entrepreneurship and e-commerce (Silva et al. 2023);
Examining the European Union sample in cohesion and non-cohesion countries, the study notes that entrepreneurship in cohesion countries is driven by necessity, whereas in non-cohesion countries, it is driven by opportunity. Cohesion countries are those with less developed economies compared to the EU average (Ferreira and Dionísio 2019)
The findings provide insights into how TEA efficiency is influenced by both economic and social factors across different regions of Europe (Silva et al. 2022);
Access to Information and Communication Technologies (ICT) has a positive impact on the initial stage of TEA, but not all ICTs have the same importance for business activity (Gomes and Lopes 2022)
A favourable policy framework is crucial for entrepreneurial efforts as it can significantly influence the establishment and development of businesses. It has the potential to mitigate the negative effects of high unemployment subsidies on the creation of new companies, especially during prolonged periods of unemployment (Bilan and Apostoaie 2023)
Young people neither in employment nor in education or training (%)
Global recession periods, such as the Covid-19 epidemic, have provided insight into how the economic insecurity of the pandemic causes young people to postpone their transition from school to the job market (Rahmani and Groot 2023);
Governments need to take a more proactive role in designing and implementing policy measures aimed at enhancing youth employability and their participation in the workforce (Maynou et al. 2022)
Household disposable income significantly influences entrepreneurship, varying across European regions and periods, as higher income levels provide better access to resources, fostering entrepreneurial environments (Silva et al. 2022). Increasing family income enhances quality of life, providing access to essential resources, educational and economic opportunities, and other benefits (OECD 2020)
Educational quality and acquired knowledge are crucial for developing entrepreneurial skills (Silva et al. 2022). Ramos et al. (2012) suggest that, regionally, overeducated workers are an opportunity, not a problem, indicating a potential for job creation requiring higher qualifications, which can drive economic growth and development
In summary, the literature review and the evidence presented in Table 1 demonstrate the interconnection between socioeconomic factors and entrepreneurial activities, highlighting the need for holistic approaches to promoting entrepreneurship in different countries.
Theoretical framework
Entrepreneurship serves as a mechanism that promotes and encourages the occurrence of positive externalities through the accumulation of knowledge and its capacity to identify, create, and exploit new business opportunities. Thus, it can be asserted that entrepreneurship constitutes an endogenous mechanism that ought to be incorporated into the theory of economic growth, as advocated by Almodóvar-González et al. (2020), Bubnovskaia et al. (2024), Rico, and Cabrer-Borrás (2019).
Considering that entrepreneurship propels innovation and technical advancements linked to green solutions/technologies, this viewpoint finds support in the works of Fotopoulos and Storey (2019) and Martínez-Rodriguez et al. (2020). Kostakis and Tsagarakis (2022), among others, such an assumption will be implicitly recognised in the technology component of a production function when formulating an endogenous economic growth model, following the formulation:
According to these same authors, the formation of human capital is based on decision-making, in which individuals have to decide if they will invest in their education, and then decide how much of their income/resources will be allocated to their investment function. \({I}_{t}\). The quality of education tends to vary according to the level of economic growth of the region/country (Castelló-Climent and Hidalgo-Cabrillana 2012). In turn, Iacobucci and Perugini (2021), Xie et al. (2021), and Xuan Ng et al. (2023), among others, believe that human capital is accumulated knowledge reflected in skills and competencies and, as such, it promotes entrepreneurial activities through creating and exploiting opportunities, therefore making them an important component of the production function.
When examining the economic growth model of Mankiw, Romer, and Weil (cited by Kasim 2018), human capital (HC) is regarded as a factor representing the cumulative effect of education, contributing to the augmentation of economic growth.
Thus, the following two equations are considered, because different levels of entrepreneurial activity are induced by different levels of economic growth, whose endogenous model will be given by both equations:
In line with this approach, human capital (\({HC}_{at}\) and \({HC}_{bt}\)) has been included in the model and will be considered a component to indicate the impact of individual employment and the level of education as a socio-economic driver that contributes to explaining the increasing or decreasing pattern of economic growth and subsequently as a driver that influences the production function in enterprises that are favourable to opportunity entrepreneurship.
Based on this premise, two new functions are considered to establish the relationship between the determinants of economic growth and entrepreneurship activities. These functions are influenced by varying levels of economic growth induced by disparities in youth unemployment and long-term aggregate unemployment, as well as by the interactive effect of human capital and labour force levels across different economies:
In line with our proposal to analyse and evaluate the relative efficiency of both of the two entrepreneurship metrics by minimising the inputs, these two Eqs. \({3}_{a}\) and \(3\), will be considered in terms of unemployment \({U}_{at}\) and \({U}_{bt}\).\(\text{where} {U}_{at}\) represents the level of long-term aggregate unemployment for the population aged between 25 and 64, while \({U}_{bt}\) represents the level of unemployment for the young population, and the interactive effect between the measure \({HC}_{t}\) population with higher education and the labor force \({L}_{at}\).
In the second stage, the aim is to investigate the relationship between the measure of relative efficiency of entrepreneurship (efficiency scores) and productivity measures linked to capital-labour, labour factor based on education level, and population measures based on education level. These productivity measures are considered by the differentials in income generated in the different economies. So, for the second stage of modelling, let us consider the following Eq. (4), which results by integrating the different productivities on the relative efficiency level of entrepreneurial activity.
It is also highlighted that considering the identity of the percentage intervals (percentiles) for the relative efficiency values that correspond to the positioning of each country, the resulting value from the productivity of labour, physical capital, and labour productivity based on human educational levels will be accounted for. This combined stage 1 and stage 2 approach offers the advantage of identifying a more critical position regarding the shared relative efficiency of new enterprise and entrepreneurial activity in Europe.
Data and methodology
Data collection and organization
Considering the objectives of the study, a database was collected and organized with the respective indicators (variables) from various sources such as GEM—Global Entrepreneurship Monitor, OECD—Organisation for Economic Co-operation and Development and Eurostat (Statistical Office of the European Union). Table 2 describes the variables.
Table 2
Outputs and inputs used
Variable
Description
Source
Birth rate
Birth rate: the number of enterprise births in the reference period (t) divided by the number of enterprises active in t—percentage
Eurostat
Total early-stage Entrepreneurial Activity (TEA)
TEA represents the percentage of the population aged 18–64 who are either a nascent entrepreneur or owner-manager of a new business
GEM
Long-term unemployment rate (%)
Young people neither in employment nor in education or training (%)
OECD
Household disposable income ratio S80/S20 (%)
Household disposable income in a particular year and S80/ S20 is the ratio of the average income of the 20% richest to the 20% poorest
OECD
Young people neither in employment nor in education or training (%)
This indicator presents the share of young people who are not in employment, education, or training (NEET). Young people in education include those attending part-time or full-time education but exclude those in non-formal education and educational activities of very short duration
Eurostat
Employment rate of recent graduates (%)
It presents the employment rates of people aged between 20 and 34 years old who have recently graduated from either upper secondary or tertiary levels of education (as defined by the International Standard Classification of Education (ISCED)
Eurostat
Data envelopment analysis (DEA)
The DEA model can be applied to oriented for the inputs (Jamasb and Pollitt 2003; Silva et al. 2022; Tasnim and Afzal 2018) or oriented for the outputs (Zhu 2009). The first scenario assumes that countries (referred to as DMUs or Decision-Making Units) aim to minimize the utilization of input(s) while achieving a specific level of output(s).
For the reader’s convenience, we present a summary of both models, as outlined by Coelli et al. (2005, pp. 162–172). Describing the input-oriented DEA model with constant returns to scale (CRS) for the “I” countries being evaluated, characterized by “N” inputs and “M” outputs, we can outline the model as follows:
where \({\varvec{X}}\) is a \(\left(N\times I\right)\) input matrix, \({\varvec{Y}}\) is a \(\left(M\times I\right)\) output matrix, \({{\varvec{x}}}_{i}\) and \({{\varvec{y}}}_{i}\) are the corresponding column vectors, \(\theta\) is a scalar, \({\varvec{\lambda}}\) is a \(\left(I\times 1\right)\) vector of constants, and \(0\) is a \(\left(I\times 1\right)\) vector of zeros. This optimization problem is solved \(I\) times, and then a value of \(\theta\) (the predicted technical efficiency score) is obtained for each firm.
The CRS input-orientated DEA model can be extended for variable returns to scale (VRS) as
$$\begin{array}{c}\underset{\theta ,{\varvec{\lambda}}}{\text{min}}\theta \\ \text{subject to }-{{\varvec{y}}}_{i}+{\varvec{Y}}{\varvec{\lambda}}\ge 0,\text{ and }\theta {{\varvec{x}}}_{i}-{\varvec{X}}{\varvec{\lambda}}\ge 0,\text{ and }{\varvec{\lambda}}\ge 0,\text{ and}\boldsymbol{ }1\boldsymbol{^{\prime}}{\varvec{\lambda}}=1,\end{array}$$
(2)
where \({\varvec{X}}\) is a \(\left(N\times I\right)\) input matrix, \({\varvec{Y}}\) is a \(\left(M\times I\right)\) output matrix, \({{\varvec{x}}}_{i}\) and \({{\varvec{y}}}_{i}\) are the corresponding column vectors, \(\theta\) is a scalar, \({\varvec{\lambda}}\) is a \(\left(I\times 1\right)\) vector of constants, \(0\) is a \(\left(I\times 1\right)\) vector of zeros, and \(1\) is a \(\left(I\times 1\right)\) vector of ones. The predicted technical efficiency scores under VRS (which includes the convexity constraint) are greater than or equal to those obtained under the CRS input-orientated DEA model.
Stochastic frontier analysis (SFA)
The existing literature highlights additional benefits of the SFA approach. Firstly, the independence of the estimated frontier from a single firm, the incorporation of efficiency factors, and the differentiation based on the operational context of each firm. Secondly, it allows statistical tests to be included (Kolkova and Chernov 2018; Silva et al. 2022). In this work, the unknown parameters were estimated through maximum likelihood (ML), assuming that \({v}_{i} \sim N\left(0,{\sigma }_{v}^{2}\right)\) and \({u}_{i} \sim {N}^{+}\left(0,{\sigma }_{u}^{2}\right)\), usually known as the Normal – Half-Normal model (\({v}_{i}\) and \({u}_{i}\) were assumed to be independently and identically distributed, with variances \({\sigma }_{v}^{2}\) and \({\sigma }_{u}^{2}\), respectively).
Considering \(\varepsilon =v-u,\) the joint density function of \(u\) and \(\varepsilon\) is obtained, and then the density function of \(\varepsilon\) is given by:
where \(\varphi\left(\cdot\right)\) is the standard Normal density function, \(\Phi\left(\cdot\right)\) is the standard Normal distribution function, \(\sigma =\sqrt{{\sigma }_{u}^{2}+{\sigma }_{v}^{2}}\) and \(\lambda =\frac{{\sigma }_{u}}{{\sigma }_{v}}\) [50, p.75]. The log-likelihood function is then given by:
Mortimer (2002) suggests that the selection of the appropriate approach depends on the particular analysis to be conducted, and there is no definitive advantage of using one approach over the other. It is crucial to consider the unique characteristics and requirements of each investigation. For an approach where errors (noise) and functional form play a minor role, the DEA may perform better; otherwise, the SFA is recommended (see more detail, Silva et al. 2022).
The SFA with ML was performed through the “frontier” package of R (Coelli and Henningsen 2013).
DEA and SFA second stage
Tobit regression estimates
In the second stage of this study, according to Wooldridge (2012) and Veronese et al. (2019), the Tobit regression can be employed when the dependent variable exhibits characteristics of both continuity and discreteness. This model is particularly suitable for scenarios like the DEA (Data Envelopment Analysis) efficiency scores, where the dependent variable lies in a restricted range and can take discrete values. The Tobit regression allows for handling such censored or truncated data, making it well-suited for modelling efficiency scores and other variables with similar characteristics (Veronese et al. 2019). In this context, the Tobit model proved to be suitable. It can be mathematically represented as follows:
\({y}^{*}\) fulfils the classical linear assumptions. Because \({y}^{*}\) has a normal distribution, \(y\) has a continuous distribution with positive values. The Eq. (3) informs that \(y={y}^{*}\) in scenarios where \({y}^{*}\ge 0\); however, \(y=0\) when \({y}^{*}<0\). This occurs due to the normally distributed \({y}^{*}\) and \(y\) follows a continuous distribution over values that are strictly positive (Wooldridge 2012).
In this study, the panel data Tobit model was employed, a strategy similar to the one used by (Mohammadpour et al. 2020). The efficiency score was utilized as the dependent variable, and a regression analysis was performed to investigate its relationship with the independent variables. The basic form of the panel Tobit model can be represented by the following equation:
In this section, the DEA scores were estimated under the CRS, VRS, and SFA assumption of the 2nd model through a quantile regression to determine the economic factors that influence efficiency. Quantile regression generalizes the concept of a univariate quantile to a conditional quantile given one or more covariates. For a random variable \(Y\) with probability distribution function:
The \({q}^{th}\) quantile of \({Y}^{*}\) is defined as the inverse function: \(Q\left(q\right)=in f \left\{y : F\left(y\right)\ge q \right\}\) where \(0<q<1\) and the median is\(Q\left(\frac{1}{2}\right)\). For a random sample \(\left\{{y}_{1}, \dots ,{y}_{n}\right\}\) of \(Y\) the sample median is the minimizer of the sum of the absolute deviations. Likewise, the general \({q}^{th}\) sample quantile \(Q\left(q\right)\) may be formulated as the solution of the optimization problem: \({}_{\xi \in R}{}^{min} \sum_{i=1}^{n}{\rho }_{q} ({y}_{i}- \xi )\) where \({\rho }_{q} \left(z\right)=q \left|z\right| if z\ge 0 or {\rho }_{q} \left(z\right)=q-1 if z<0\) and \(\xi\) is the model prediction error (Koenker and Gilbert 1978). The quantile regression may be described as a function by:
The non-differentiable function is minimized using the simplex method, which ensures a solution is obtained within a finite number of iterations. The model for linear quantile regression is as follows:
$$y={A}{\prime}{\beta }^{q}+ \xi$$
(8)
\(\text{where} \ A=\left({x}_{1,\dots ,}{x}_{n}\right)\) is the matrix consisting of \(n\) observed vectors of \(X\) and \(y=\left({y}_{1,\dots ,}{y}_{n}\right)\) the \(n\) observed responses, \({\beta }^{q}=\left({\beta }_{1, \dots , } {\beta }_{p}\right)\) is the unknown \(p\)-dimensional vector of parameters and \(\xi =\left({\xi }_{1, \dots , } {\xi }_{n}\right)\) is the \(n\)-dimensional vector of unknown errors. Moreover, quantile regression exhibits greater robustness to non-normal errors and outliers in comparison to ordinary linear regressions.
Results
Results for DEA and SFA scores
In the first approach, and the period of the global crisis, the results of the DEA non-parametric estimation technique, with constant returns (CRS), according to Table 3, demonstrate that Denmark and Lithuania show the maximum efficiency in 2008 and 2009, while Estonia and the Netherlands present this maximum technical efficiency only in 2008.
Table 3
Scores for technical efficiency for the period 2008–2010
Country
Years
CRS_TE
VRS_TE
SFA
Country
Years
CRS_TE
VRS_TE
SFA
Austria
2008
0.691693
0.934115
0.8462040
Ireland
2008
0.635112
0.978105
0.7142285
Austria
2009
0.542742
0.927096
0.7586925
Ireland
2009
0.439293
0.856035
0.8325536
Austria
2010
0.567604
0.937633
0.7393938
Ireland
2010
0.409060
0.805982
0.7694288
Belgium
2008
0.353256
0.923838
0.4570508
Italy
2008
0.564872
1.000000
0.6598363
Belgium
2009
0.282420
0.870761
0.5230520
Italy
2009
0.404990
1.000000
0.6727143
Belgium
2010
0.299479
0.861954
0.5833003
Italy
2010
0.368156
1.000000
0.6439804
Bulgaria
2008
0.825927
0.930868
0.8808808
Lithuania
2008
1.000000
1.000000
0.9505789
Bulgaria
2009
0.850489
0.990916
0.8447105
Lithuania
2009
1.000000
1.000000
0.6610895
Bulgaria
2010
0.531660
0.947972
0.5916803
Lithuania
2010
0.914472
0.954791
0.8730949
Cyprus
2008
1.000000
1.000000
0.5265663
Luxembourg
2008
0.684241
0.975224
0.7439984
Cyprus
2009
0.815925
1.000000
0.4709028
Luxembourg
2009
0.784094
1.000000
0.8107387
Cyprus
2010
0.473890
0.982395
0.4594493
Luxembourg
2010
0.821968
1.000000
0.8077335
Czech Rep
2008
0.474776
0.921596
0.4687839
Latvia
2008
0.654664
0.924194
0.7347329
Czech Rep
2009
0.545771
0.921062
0.7411163
Latvia
2009
0.854389
1.000000
0.9296965
Czech Rep
2010
0.549644
0.920985
0.7462145
Latvia
2010
0.884354
1.000000
0.9101296
Germany
2008
0.864408
1.000000
0.7793678
Malta
2008
0.424117
1.000000
0.3512263
Germany
2009
0.378191
0.861145
0.7238766
Malta
2009
0.319796
0.847930
0.4363599
Germany
2010
0.413072
0.864039
0.7273978
Malta
2010
0.361005
0.904381
0.3743097
Denmark
2008
1.000000
1.000000
0.7660253
Netherlands
2008
1.000000
1.000000
0.9403919
Denmark
2009
1.000000
1.000000
0.8473521
Netherlands
2009
0.954693
0.979762
0.9435362
Denmark
2010
0.897809
1.000000
0.7531901
Netherlands
2010
0.880707
0.971440
0.8704651
Estonia
2008
1.000000
1.000000
0.8830670
Poland
2008
0.664205
0.947245
0.8967964
Estonia
2009
0.800081
1.000000
0.6838231
Poland
2009
0.662021
0.940896
0.9065850
Estonia
2010
0.735562
1.000000
0.6309476
Poland
2010
0.711336
0.948283
0.9459617
Spain
2008
0.442748
0.889063
0.8405989
Portugal
2008
0.620204
0.894717
0.7785134
Spain
2009
0.371656
0.864761
0.7526469
Portugal
2009
0.501072
0.871112
0.7164350
Spain
2010
0.351484
0.825975
0.7843897
Portugal
2010
0.469166
0.865819
0.6969508
Finland
2008
0.677421
0.990996
0.8740544
Romania
2008
0.648028
0.878801
0.8659099
Finland
2009
0.495449
1.000000
0.7301667
Romania
2009
0.475637
0.935012
0.6151858
Finland
2010
0.505717
0.954620
0.7660699
Romania
2010
0.454538
0.983047
0.5938732
France
2008
0.452623
0.865663
0.9340535
Sweden
2008
0.581037
0.970971
0.5705453
France
2009
0.591743
0.918320
0.9570544
Sweden
2009
0.446076
0.985127
0.5451406
France
2010
0.562655
0.906679
0.9655256
Sweden
2010
0.426106
0.960586
0.5601489
Greece
2008
0.596884
0.994416
0.6187137
Slovenia
2008
0.749939
0.997963
0.7502202
Greece
2009
0.589905
1.000000
0.6202580
Slovenia
2009
0.648498
0.980440
0.6987685
Greece
2010
0.495732
1.000000
0.5610485
Slovenia
2010
0.588511
0.971473
0.5798947
Hungary
2008
0.485588
0.878296
0.7195741
Slovakia
2008
0.705197
0.896033
0.8407748
Hungary
2009
0.558257
0.886527
0.7836978
Slovakia
2009
0.845487
0.955938
0.8514892
Hungary
2010
0.503169
0.901003
0.6947324
Slovakia
2010
0.894373
0.986075
0.8425237
If the results of higher inefficiency are considered, lower values of technical efficiency score, this evidence can be seen in Belgium in 2008, 2009, and 2010, while Germany, Spain, Italy, and Malta show higher technical inefficiencies in 2009 and 2010, respectively.
On the other hand, if we look at the results from this same table but consider the values of technical efficiency with variable returns display (VRS), Denmark, Estonia, and Belgium present the maximum technical efficiency score in the 3 years of analysis (2008, 2009, 2010), Greece, Luxembourg and the Czech Republic show the maximum efficiency score in the years 2009 and 2010, while Cyprus and Lithuania exhibit the maximum efficiency score in 2008 and 2009, respectively.
In another approach, the results of the parametric technique of the SFA frontier, in Table 3, France shows lower technical inefficiencies in 3 years (2008, 2009, and 2010), that is, higher values in the scores in the neighbourhood of the maximum efficiency on the frontier; while Latvia and Poland, in the years 2009 and 2010 and the Netherlands in the years 2008 and 2009, also show the scores with lower inefficiency. The opposite view, i.e. a higher level of technical inefficiency, is evidenced by Germany in 2008 and 2009.
In this period of global crisis, all this evidence can be analysed through the Fig. 1.
×
In the period of the sovereign crisis, the DEA CRS results, according to Table 4, highlight a maximum technical efficiency score for Lithuania in the years 2011, 2012, 2013, and 2014; while, with the highest inefficiency scores, Belgium stands out throughout the period of the sovereign crisis, and Malta in the years 2011, 2012, and 2013.
Table 4
Scores for technical efficiency for the period 2011–2014
Country
Years
CRS_TE
VRS_TE
SFA
Country
Years
CRS_TE
VRS_TE
SFA
Austria
2011
0.548379
0.911474
0.7282365
Ireland
2011
0.443769
0.785059
0.8671137
Austria
2012
0.699953
0.929998
0.8753846
Ireland
2012
0.412641
0.789979
0.7936354
Austria
2013
0.618249
0.921419
0.8380873
Ireland
2013
0.527837
0.814225
0.9432062
Austria
2014
0.559196
0.925866
0.7914412
Ireland
2014
0.401511
0.822844
0.7635778
Belgium
2011
0.364473
0.865648
0.7006407
Italy
2011
0.393528
0.995771
0.6662289
Belgium
2012
0.327244
0.863546
0.6484700
Italy
2012
0.452712
1.000000
0.7347741
Belgium
2013
0.294170
0.862641
0.5728531
Italy
2013
0.432364
0.990635
0.8509750
Belgium
2014
0.366361
0.886685
0.6341468
Italy
2014
0.538223
1.000000
0.9480643
Bulgaria
2011
0.565197
1.000000
0.6079210
Lithuania
2011
1.000000
1.000000
0.8953488
Bulgaria
2012
0.581150
0.933084
0.6676073
Lithuania
2012
1.000000
1.000000
0.9214761
Bulgaria
2013
0.522446
0.908956
0.6501744
Lithuania
2013
1.000000
1.000000
0.9489798
Bulgaria
2014
0.561155
1.000000
0.5835200
Lithuania
2014
1.000000
1.000000
0.9645701
Cyprus
2011
0.481718
1.000000
0.4536205
Luxembourg
2011
0.929416
1.000000
0.8658261
Cyprus
2012
0.340726
0.929469
0.3751991
Luxembourg
2012
0.746827
0.951877
0.7937145
Cyprus
2013
0.653783
1.000000
0.5385483
Luxembourg
2013
0.916621
1.000000
0.8837096
Cyprus
2014
0.619278
0.903295
0.6322962
Luxembourg
2014
0.657148
0.953856
0.7824090
Czech Rep
2011
0.561469
0.945984
0.7255705
Latvia
2011
0.912767
0.949145
0.9568835
Czech Rep
2012
0.471545
0.903279
0.6397268
Latvia
2012
0.906466
0.948712
0.9543406
Czech Rep
2013
0.469113
0.923313
0.6254572
Latvia
2013
0.831407
0.904879
0.9499305
Czech Rep
2014
0.505042
0.932000
0.6587282
Latvia
2014
0.940478
0.970270
0.7990122
Germany
2011
0.461932
0.860843
0.7610164
Malta
2011
0.285841
0.849425
0.4112469
Germany
2012
0.444828
0.866743
0.6843776
Malta
2012
0.301368
0.831966
0.4553962
Germany
2013
0.453702
0.879163
0.6018506
Malta
2013
0.313578
0.847549
0.4420152
Germany
2014
0.468761
0.911705
0.6145865
Malta
2014
0.475509
0.825982
0.7434225
Denmark
2011
0.701127
0.956483
0.7754001
Netherlands
2011
0.971713
0.987743
0.9001541
Denmark
2012
0.615675
0.949872
0.6898162
Netherlands
2012
0.963856
0.993523
0.9122072
Denmark
2013
0.647265
1.000000
0.6863073
Netherlands
2013
0.761783
0.926728
0.8487505
Denmark
2014
0.724508
0.984977
0.7566353
Netherlands
2014
0.790572
0.933687
0.8457982
Estonia
2011
0.734375
0.951239
0.7013459
Poland
2011
0.650083
0.934128
0.9290790
Estonia
2012
0.838319
0.962433
0.8026320
Poland
2012
0.639527
0.939291
0.9140655
Estonia
2013
0.772229
0.955685
0.7293852
Poland
2013
0.656496
0.936290
0.9408070
Estonia
2014
0.583560
0.914228
0.6327789
Poland
2014
0.646262
0.922871
0.9499073
Spain
2011
0.444878
0.831623
0.8304257
Portugal
2011
0.560440
0.885468
0.7893642
Spain
2012
0.469161
0.842130
0.8187339
Portugal
2012
0.624533
0.924806
0.7653329
Spain
2013
0.475757
0.862365
0.7643512
Portugal
2013
0.691630
0.917736
0.8890197
Spain
2014
0.480690
0.848264
0.8873188
Portugal
2014
0.759615
0.947195
0.9023158
Finland
2011
0.533284
0.992356
0.7773781
Romania
2011
0.757747
0.963946
0.9379191
Finland
2012
0.484062
0.969291
0.7295240
Romania
2012
0.711756
0.958953
0.8707018
Finland
2013
0.417970
0.971673
0.6117056
Romania
2013
0.890835
1.000000
0.9657792
Finland
2014
0.435188
0.973669
0.6443440
Romania
2014
0.766068
1.000000
0.8551981
France
2011
0.497457
0.900488
0.9267958
Sweden
2011
0.496989
0.943738
0.6260443
France
2012
0.452405
0.901546
0.8582729
Sweden
2012
0.457187
0.953326
0.5868269
France
2013
0.413549
0.892288
0.8139765
Sweden
2013
0.564387
0.955376
0.6862495
France
2014
0.445177
0.917216
0.8306278
Sweden
2014
0.518368
0.953345
0.6252283
Greece
2011
0.734785
1.000000
0.7920205
Slovenia
2011
0.575352
1.000000
0.5645779
Greece
2012
0.732472
1.000000
0.9202332
Slovenia
2012
0.477004
0.995730
0.5274468
Greece
2013
0.668618
1.000000
0.9319025
Slovenia
2013
0.601403
0.997259
0.6568497
Greece
2014
0.775490
1.000000
0.7733017
Slovenia
2014
0.549263
1.000000
0.5802333
Hungary
2011
0.476750
0.891956
0.6796191
Slovakia
2011
0.937724
0.978342
0.9110207
Hungary
2012
0.567953
0.878314
0.7646810
Slovakia
2012
0.694252
0.945811
0.6475187
Hungary
2013
0.604876
0.874737
0.8562375
Slovakia
2013
0.677090
0.968025
0.6316386
Hungary
2014
0.566029
0.873050
0.8281376
Slovakia
2014
0.918331
0.953420
0.9511566
If we consider the results of the DEA-VRS, according to Table 4, the maximum technical efficiency score is recorded in Greece in the 4 years of analysis of this crisis period, while such evidence of maximum efficiency is also found in Bulgaria and Slovenia in the years 2011, 2014, Cyprus and Luxembourg in the years 2011 and 2013, Italy in the years 2012 and 2014 and Romania in the years 2013 and 2014.
On the other hand, the results of the SFA estimation indicate the existence of maximum technical efficiency for the entire 4-year period of the sovereign crisis considered in Estonia, followed by Lithuania in the years 2012, 2013, and 2014 and Republic Check in the years 2011, 2012, and 2013. There is also the existence of maximum efficiency in 2 years of this crisis period, namely in Greece in 2012 and 2013, Denmark in 2011 and 2012, Finland in 2011 and 2013 and Hungary in 2011 and 2014. In terms of countries with the highest technical inefficiency, Malta stands out in 2011, 2012, and 2013 and Cyprus in 2012.
All this evidence for this period of the sovereign crisis is illustrated in the Fig. 2.
×
In turn, considering the post-crisis period 2015–2019, the DEA-CRS results in Table 5 show that Lithuania presents the maximum efficiency score value in all years considered, except 2015, followed by Estonia and Latvia, which present this same maximum efficiency value for 3 years, more specifically 2017, 2018, and 2019, while this evidence is also verified in the Netherlands for the years 2016, 2018, and 2019. In terms of the lowest score values, it can be pointed out that there is evidence of higher technical inefficiencies in Belgium in 2015 and 2019, and even in Finland more for 2015 and 2016.
Table 5
Scores for technical efficiency for the period 2015–2019
Country
Years
CRS_TE
VRS_TE
SFA
Country
Years
CRS_TE
VRS_TE
SFA
Austria
2015
0.479097
0.920753
0.6811328
Ireland
2015
0.514811
0.840232
0.9240315
Austria
2016
0.631003
0.931481
0.8554461
Ireland
2016
0.555565
0.846041
0.9661913
Austria
2017
0.727230
0.897840
0.8574418
Ireland
2017
0.485884
0.867540
0.8657392
Austria
2018
0.764920
0.942373
0.8953243
Ireland
2018
0.640946
0.948313
0.7884268
Austria
2019
0.749344
0.910572
0.9049213
Ireland
2019
1.000000
1.000000
0.8601566
Belgium
2015
0.364707
0.855991
0.7151724
Italy
2015
0.534002
1.000000
0.8780180
Belgium
2016
0.347897
0.875632
0.6050901
Italy
2016
0.473067
0.968954
0.7917637
Belgium
2017
0.355557
0.897122
0.5931748
Italy
2017
0.432450
0.946757
0.7231941
Belgium
2018
0.358820
0.882132
0.6169075
Italy
2018
0.414840
0.950211
0.6953167
Belgium
2019
0.357161
0.873772
0.6369260
Italy
2019
0.423552
0.934695
0.7196968
Bulgaria
2015
0.501810
0.873890
0.6155258
Lithuania
2015
0.903525
0.968986
0.9111835
Bulgaria
2016
0.565778
0.939908
0.5923802
Lithuania
2016
1.000000
1.000000
0.9212324
Bulgaria
2017
0.541843
0.919088
0.5397594
Lithuania
2017
1.000000
1.000000
0.9433883
Bulgaria
2018
0.536864
0.930692
0.5389326
Lithuania
2018
1.000000
1.000000
0.9554983
Bulgaria
2019
0.530990
0.911523
0.5519415
Lithuania
2019
1.000000
1.000000
0.9538940
Cyprus
2015
0.658910
0.940936
0.6129445
Luxembourg
2015
0.831058
0.937361
0.8435352
Cyprus
2016
0.719070
0.903232
0.7517771
Luxembourg
2016
0.860113
0.943281
0.7800411
Cyprus
2017
0.545164
0.925214
0.6032161
Luxembourg
2017
0.791417
0.946655
0.8024503
Cyprus
2018
0.480556
0.918416
0.5344346
Luxembourg
2018
1.000000
1.000000
0.9125152
Cyprus
2019
0.490170
0.909036
0.5728015
Luxembourg
2019
0.885060
0.929782
0.8680004
Czech Rep
2015
0.529447
0.950969
0.6468124
Latvia
2015
0.913052
0.965057
0.9153075
Czech Rep
2016
0.558512
0.918549
0.6878077
Latvia
2016
0.944771
0.951768
0.9099387
Czech Rep
2017
0.755160
0.947258
0.7871551
Latvia
2017
1.000000
1.000000
0.7343977
Czech Rep
2018
1.000000
1.000000
0.8980353
Latvia
2018
1.000000
1.000000
0.8177772
Czech Rep
2019
0.846578
0.961154
0.8388359
Latvia
2019
1.000000
1.000000
0.7892722
Germany
2015
0.437952
0.874050
0.5787860
Malta
2015
0.427279
0.815681
0.7306765
Germany
2016
0.400287
0.889967
0.5746734
Malta
2016
0.779054
0.858630
0.9255422
Germany
2017
0.443997
0.891934
0.5974571
Malta
2017
0.510306
0.876582
0.6855571
Germany
2018
0.529077
0.899967
0.6466766
Malta
2018
0.858960
1.000000
0.7800871
Germany
2019
0.484115
0.882875
0.6493401
Malta
2019
0.657934
0.923122
0.7377384
Denmark
2015
0.639356
0.986005
0.7308355
Netherlands
2015
0.765703
0.959781
0.7157708
Denmark
2016
0.752455
0.997862
0.8548559
Netherlands
2016
1.000000
1.000000
0.9032085
Denmark
2017
0.650482
0.993404
0.8135262
Netherlands
2017
0.991339
1.000000
0.8664703
Denmark
2018
0.740847
0.978190
0.7901923
Netherlands
2018
1.000000
1.000000
0.9647741
Denmark
2019
0.677378
0.972538
0.7982931
Netherlands
2019
1.000000
1.000000
0.9425699
Estonia
2015
0.923929
0.986745
0.7168941
Poland
2015
0.653003
0.929437
0.9419113
Estonia
2016
0.885328
1.000000
0.8726824
Poland
2016
0.711123
0.936031
0.9627014
Estonia
2017
1.000000
1.000000
0.9553515
Poland
2017
0.673261
0.952984
0.9450253
Estonia
2018
1.000000
1.000000
0.9675828
Poland
2018
0.847580
0.980022
0.9539933
Estonia
2019
1.000000
1.000000
0.9650945
Poland
2019
0.702958
0.952184
0.9472947
Spain
2015
0.479532
0.876321
0.7947548
Portugal
2015
0.736992
0.946057
0.9333860
Spain
2016
0.452644
0.882865
0.8134618
Portugal
2016
0.689574
0.950611
0.9045061
Spain
2017
0.453691
0.876130
0.7959420
Portugal
2017
0.719355
0.921688
0.9326576
Spain
2018
0.453860
0.871244
0.8465873
Portugal
2018
0.780528
0.953718
0.9438896
Spain
2019
0.453472
0.861877
0.8664163
Portugal
2019
0.742170
0.925397
0.9477051
Finland
2015
0.418093
0.972833
0.6160454
Romania
2015
0.756332
0.976002
0.8892885
Finland
2016
0.415809
0.954873
0.6226856
Romania
2016
0.730755
0.957545
0.8611189
Finland
2017
0.541353
0.978581
0.7806728
Romania
2017
0.741409
0.970848
0.9207817
Finland
2018
0.544560
0.971187
0.7548919
Romania
2018
0.739988
0.974207
0.9245221
Finland
2019
0.565245
0.966468
0.7815983
Romania
2019
0.740846
0.958840
0.9383318
France
2015
0.470945
0.928732
0.8012170
Sweden
2015
0.556482
0.940699
0.6404997
France
2016
0.449249
0.923995
0.8020780
Sweden
2016
0.596950
0.946428
0.6681014
France
2017
0.453136
0.926917
0.7770228
Sweden
2017
0.609422
0.945483
0.6528666
France
2018
0.504374
0.901848
0.9224560
Sweden
2018
0.598198
0.960063
0.6311948
France
2019
0.468953
0.901748
0.8864264
Sweden
2019
0.600283
0.938265
0.6483285
Greece
2015
0.772557
1.000000
0.9045547
Slovenia
2015
0.516509
0.996620
0.5571770
Greece
2016
0.599872
1.000000
0.6445738
Slovenia
2016
0.598011
0.995620
0.5953581
Greece
2017
0.559915
0.988142
0.6714363
Slovenia
2017
0.663684
1.000000
0.5740801
Greece
2018
0.602708
0.992901
0.6165726
Slovenia
2018
0.663567
0.986306
0.6511545
Greece
2019
0.579026
0.976435
0.6335917
Slovenia
2019
0.662032
0.985723
0.6161987
Hungary
2015
1.000000
1.000000
0.7721012
Slovakia
2015
0.657625
0.898682
0.7752347
Hungary
2016
0.628712
0.902627
0.8119046
Slovakia
2016
0.584569
0.882072
0.7282221
Hungary
2017
0.664942
0.910676
0.8916891
Slovakia
2017
0.699978
0.877192
0.9010485
Hungary
2018
0.690894
0.903557
0.9316089
Slovakia
2018
0.710904
0.899118
0.8818433
Hungary
2019
0.673555
0.893435
0.9314146
Slovakia
2019
0.700693
0.875028
0.9212858
Considering the results of the DEA-VRS, it can be emphasised that the scores with maximum technical efficiency are for Estonia in 2016 and 2019 and Greece in 2015 and 2016. This maximum efficiency is also relevant in the score of Ireland and Luxembourg in 2019 and in the score of Malta and Slovenia in 2018.
In turn, regarding the results of the technical efficiency using the SFA technique, in Table 5, it should be noted that Lithuania, Poland, and Portugal present the scores with the highest efficiency, that is, the lowest technical inefficiency in all the years considered in this post-crisis period. It should also be noted that the score with the lowest technical inefficiency still occurs in Estonia and Romania in 2017, 2018, and 2019, while in Denmark and the Netherlands, such evidence is reported in 2016, 2018, and 2019. In turn, other European countries show lower inefficiency values in two years of analysis in this post-crisis period, namely Austria and the Czech Republic in 2015 and 2016; and Hungary and Slovenia in 2018 and 2019, respectively.
All this evidence for this period of the sovereign crisis is illustrated in Fig. 3.
×
Results for DEA and SFA second stage
In the first econometric approach, according to Table 6, the signs of the estimated coefficients of the Random effect Tobit Model - DEA, CRS, and SFA are identical during the global crisis and the sovereign crisis period. Moreover, the signs and statistical significance of the estimated coefficients mixed effects Tobit model—DEA, CRS, and SFA are identical during the global and sovereign crisis periods.
Table 6
Results for both of the Tobit regressions for the crisis period during 2008–2014
Variable dependent: efficiency scores
Equation # 1: DEA-CRS
Equation # 2: DEA VRS
Equation # 3: SFA
Random effects Tobit model
Productivity of capital (GDP/FBCF)
− 0.00820
0.000563***
− 0.012342**
Productivity of labour (GDP/labour)
0.003894**
− 0.000777
0.004078**
Productivity of labour with primary education
0.000310**
− 0.0000628
0.0003774***
Productivity of labour with Secº education
− 0.00187***
0.0003268
− 0.0020462***
Labour with primary education (%)
0.0000686
− 0.0000119
0.0000423
Labour with secondary education (%)
− 0.0000627
6.98 e-06
− 0.0001084***
Population with primary education (%)
− 4.96 e-08
4.06 e-09
− 1.87 e-08
Population with secondary education (%)
4.71 e-08
− 6.15 e-09
9.03 e-08***
Constant
0.64635***
0.944819***
0.719269***
Variable dependent: efficiency scores
Equation # 1: DEA-CRS
Equation # 2: DEA CRS
Equation # 3: SFA
Mixed effects Tobit model
Productivity of capital (GDP/capital)
− 0.003879
0.0007603
− 0.002903
Productivity of labour (GDP/labour)
0.03358**
0.01123*
0.002691*
Productivity of labour with primary education
0.000577***
0.0000829***
0.000418***
Productivity of labour with Secº education
− 0.002237***
− 0.000580***
− 0.001753***
Labour with primary education (%)
0.0001724***
− 7.61 e-06
0.0001351***
Labour with secondary education (%)
− 0.000113***
− 5.53 e-06
− 0.0001572***
Population with primary education (%)
− 1.09 e-08***
3.03 e-09
− 7.18 e-08***
Population with secondary education (%)
8.62 e-08***
3.56 e-09
1.28 e-07***
Constant
0.63239****
0.9433258***
0.704948***
Notes: The asterisks *, **, *** mean statistical significance at 10%, 5%, and 1%, respectively. Tobit model 1 for random effects; while Tobit model 2 represents the mixed effects where the outcome variable is censored
If the results of the Tobit random effect estimator are considered, the results of the estimation in the period of the two financial crises 2008–2014, point to the individual existence of a significant and negative impact of the productivity of capital, productivity of labour with secondary education, labour with secondary education (%), and a positive and significantly effect of productivity of labour, productivity of labour with primary education, population with secondary education (%), on the efficiency scores of the parametric SFA technique, respectively, (Eq. 3) It is also possible to infer that there is a negative and significant effect of labour productivity with secondary education, and a positive and significant effect of labour productivity and labour productivity with primary education on the efficiency scores of the DEA-CRS estimation (Eq. 1) while there is only an negative and significant effect of capital productivity on the efficiency scores of the DEA-VRS estimation (Eq. 2).
Considering the analysis of the results of the Tobit random effect estimation for the period after the two crises, i.e. 2015–2019, according to Table 7, there are significant changes in the statistical significance of the coefficients associated with the drivers of labour productivity and education, except productivity of labour with secondary education, in the efficiency scores of entrepreneurial outcomes. It seems more relevant to consider the results of the mixed effects Tobit model. These results point to the individual existence of the significant and negative impact of productivity of labour with secondary education and labour with primary education (%).
Table 7
Results for both of the Tobit regressions for the period after the crisis during 2015–2019
Variable dependent: efficiency scores
Equation # 1: DEA-CRS
Equation # 2: DEA VRS
Equation # 3: SFA
Random effects Tobit model
Productivity of capital (GDP/FBCF)
− 1.46e-07
− 0.0009877
0.008518
Productivity of labour (GDP/labour)
− 0.0022586
0.000148
− 0.001927
Productivity of labour with primary education
0.0005476***
0.000168***
0.0000796**
Productivity of labour with Secº education
− 0.0000795
− 0.000345
0.0004499
Labour with primary education (%)
0.0000663
2.83e-06
0.0001029
Labour with secondary education (%)
− 0.0000173
− 0.0000108
− 0.0000753
Population with primary education (%)
− 5.22e-08
− 2.76e-09
− 5.77e-08
Population with secondary education (%)
8.56e-09
8.31e-09
5.99e-08
Constant
0.686502***
0.940957***
0.769172***
Variable dependent: efficiency scores
Equation # 1: DEA-CRS
Equation # 2: DEA VRS
Equation # 3: SFA
Mixed effects Tobit model
Productivity of capital (GDP/capital)
− 0.0094021
− 0.0025015
0.0082416**
Productivity of labour (GDP/labour)
− 0.0014516
0.0009262
− 0.0029703
Productivity of labour with primary education
0.000797***
0.0002002***
0.0001824**
Productivity of labour with Secº education
− 0.0006346
− 0.0006384**
0.0006567
Labour with primary education (%)
0.000334***
0.0000557***0
0.00281***
Labour with secondary education (%)
− 0.000173***
− 0.000039***
− 0.0002029***
Population with primary education (%)
− 2.10e-07***
− 3.38e-08***
− 1.65e-07***
Population with secondary education (%)
1.36e-07***
3.16e-08***
1.66e-07***
Constant
0.666360***
0.935657***
0.753505***
Notes: The asterisks *, **, *** mean statistical significance at 10%, 5%, and 1%, respectively. Tobit model 1 for random effects; while Tobit model 2 represents the mixed effects where the outcome variable is censored
However, the findings have shown a positive and significant effect of productivity of labour with primary education, productivity of labour with primary education and population with secondary education (%), on the efficiency scores considering all estimators results of the non-parametric and parametric techniques, respectively.
Moreover, it can be inferred that there is a negative and significant effect of labour productivity with secondary education and a positive and significant effect of labour productivity with secondary education on the efficiency scores of the DEA-VRS estimation.
Results of the quantile regression
In this second econometric approach, quantile regression, given the conditional distribution, the intention was to evaluate between different quantiles the differences of the impacts of the selected drivers of productivity and population stratified by level of education on the efficiency scores of entrepreneurial outcomes. According to the results for the Bootstrap Quantile Regression for the crisis period during 2008–2014, according to Table 8, when the results of Eq. 3 were selected (dependent variable: scores of entrepreneurial outcomes of SFA frontier), the effects of productivity of labour with primary and secondary education, and the % of the population for the higher levels of the conditional distribution, the coefficients increase, especially at the lower and higher quantiles, except in the 0.90 quantiles.
Table 8
Results for the Bootstrap Quantile Regression for the crisis period during 2008–2014
Dependent variable: scores DEA CRS
Quantile 0.25
Quantile 0.5
Quantile 0.75
Quantile 0.90
Productivity of capital (GDP/FBCF)
− 0.0068316
− 0.0072296
− 0.0192895
0.0053936
Productivity of labour (GDP/labour)
0.0048368
0.0030808
0.0055211
0.0024105
Productivity of labour with primary education
− 0.0004296
0.0006662*
0.0007938*
0.000517
Productivity of labour with Secº education
− 0.002395*
− 0.0022443
− 0.0031918*
− 0.002006*
Labour with primary education (%)
0.000072
0.0001332
0.0001428
0.0002698**
Labour with secondary education (%)
− 0.000122***
− 0.000105**
− 0.0000786
− 0.0000417
Population with primary education (%)
− 4.60e-08**
− 8.27e-08**
− 9.06e-08
− 1.68e-07**
Population with secondary education (%)
9.66e-08***
8.00e-08**
5.19e-08
2.49e-08
Constant
0.4946471***
0.6067679***
0.785766***
0.8728283***
Pseudo R2
0.1914
0.2130
0.2189
0.2544
Dependent variable: scores DEA VRS
Quantile 0.25
Quantile 0.5
Quantile 0.75
Quantile 0.90
Productivity of capital (GDP/FBCF)
− 0.0002631
0.005824**
0.000151
0.0001321
Productivity of labour (GDP/Labour)
0.0012968
0.0012333
0.0003195
7.01e-06
Productivity of Labour with Primary Education
0.0001531**
0.0000742
0.000033
1.58e-06
Productivity of Labour with Secº Education
− 0.0007592*
− 0.000683**
− 0.0001951
− 0.0000106
Labour with Primary Education (%)
− 1.67e-06
− 0 .0000165
− 4.67e-06
− 2.78e-06
Labour with Secondary Education (%)
− 0.0000113
− 5.02e-06
− 8.97e-06
7.83e-07
Population with Primary Education (%)
− 4.14e-09
7.33e-09
7.31e-09
5.35e-09
Population with Secondary Education (%)
8.88e-09
2.94e-09
2.08e-09
− 4.77e-09
Constant
0.917741***
0.9428887***
0.996008***
1.002404***
Pseudo R2
0.2023
0.1677
0.1264
0.0645
Dependent variable: scores SFA
Quantile 0.25
Quantile 0.5
Quantile 0.75
Quantile 0.90
Productivity of capital (GDP/FBCF)
− 0.0053883
− 0.0092049
− 0.0147346
− 0.0048588
Productivity of labour (GDP/labour)
0.0023033
0.0032891
0.0053905**
0.0054754
Productivity of labour with primary education
0.0004402**
0.0004276**
0.0004522**
0.0004146**
Productivity of labour with Secº education
- 0.001543*
− 0.001895**
0.0026962***
− 0.0024912**
Labour with primary education (%)
0.000131***
0.000139***
0.0001533***
0.0001328**
Labour with secondary education (%)
− 0.000184***
− 0.000158***
− 0.0001407***
− 0.0001188***
Population with primary education (%)
− 7.04e-08***
− 6.99e-08**
− 7.55e-08**
− 6.44e-08**
Population with secondary education (%)
1.52e-07***
1.30e-07***
1.08e-07***
8.81e-08***
Constant
0.603975***
0.711745***
0.823617***
0.8883035***
Pseudo R2
0.2442
0.1916
0.1596
0.1326
Notes: The asterisks *, **, *** mean statistical significance at 10%, 5%, and 1%, respectively
However, when considering the results of Eq. 1 (scores of DEA- CRS entrepreneurial outcomes is the dependent variable) during the 2008–2014 period, the positive effects of labour with secondary education (unqualified labour) for the lower level (0.25 quantile) and median level (0.5 quantile) of conditional distribution, the magnitude of coefficients decrease, while, for this same quantile, the magnitude of the coefficient associated with population with primary education increase.
Table 9 outlines the results of the quantile regression of Eq. 3 (scores of SFA of entrepreneurial outcomes are the dependent variable) after the financial crisis during 2015–2019. It reveals the positive effects of labour with primary and secondary education (unqualified labour) for the lower level (0.25 quantile) and median level (0.5 quantiles) of the conditional distribution, and the magnitude of coefficients increase, while for the quantile 0.75 and quantile 0.90, the magnitude of coefficients decreases.
Table 9
Results for the Bootstrap Quantile Regression after the crisis period during 2015–2019
Dependent variable: scores DEA CRS
Quantile 0.25
Quantile 0.5
Quantile 0.75
Quantile 0.90
Productivity of capital (GDP/FBCF)
− 0.0003039
− 0.0101592
− 0.0171122*
− 0.0086326
Productivity of labour (GDP/labour)
− 0.0024453
− 0.0025943
0.0080975
− 0.0003244
Productivity of labour with primary education
0.000461
0.0008007**
0.0009737***
0.0004602*
Productivity of labour with Secº education
0.0002325
− 0.0003155
− 0.0039897
− 0.0005833
Labour with primary education (%)
0.000274**
.00003155***
0.0002057
0.0003712*
Labour with secondary education (%)
− 0.000166**
− 0.000163***
− 0.000098
− 0.0001815
Population with primary education (%)
− 1.73e-07**
− 2.00e-07***
− 1.33e-07
− 2.31e-07**
Population with secondary education (%)
1.36e-07***
1.29e-07***
7.25e-08
1.33e-07
Constant
0.546996***
0.6636243***
0.7505142***
0.9410999***
Pseudo R2
0.2261
0.2658
0.3202
0.1408
Dependent variable: scores DEA VRS
Quantile 0.25
Quantile 0.5
Quantile 0.75
Quantile 0.90
Productivity of capital (GDP/FBCF)
− 0.0086761*
− 0.0016034
0.000253
− 0.0000506
Productivity of labour (GDP/labour)
0.0001668
0.0010197
0.0014947
0.0001597
Productivity of labour with primary education
0.0002957**
0.000268***
0.000141**
0.0000292
Productivity of labour with Secº education
− 0.0004738
− 0.0007918
− 0.0007603**
− 0.0001048
Labour with primary education (%)
0.0000431
0.0000544*
0.0000759*
0.0000494
Labour with secondary education (%)
− 0.0000292
− 0.0000367**
− 0.000041**
− 0.0000332
Population with primary education (%)
− 2.63e-08
− 3.07e-08*
− 4.13e-08*
− 2.71e-08
Population with secondary education (%)
2.37e-08
2.87e-08**
2.97e-08**
2.37e-08
Constant
0.9100225***
0.933459***
0.9637534***
0.9956908***
Pseudo R2
0.1932
0.1961
0.2019
0.069
Dependent variable: scores SFA
Quantile 0.25
Quantile 0.5
Quantile 0.75
Quantile 0.90
Productivity of capital (GDP/FBCF)
0.0194361**
0.0098812*
0.0048477
0.00428
Productivity of labour (GDP/labour)
− 0.0036807
− 0.001424
− 0.0039624
.00012499
Productivity of labour with primary education
− 6.27e-06
0.0001139
0.0002865**
0.0000265
Productivity of labour with Secº education
0.0011288
0.0002012
0.00079
− 0.0005567
Labour with primary education (%)
0.000322***
0.000346***
0.0001866***
0.0000704
Labour with secondary education (%)
− 0.00023***
− 0.000273***
− 0.000144***
− 0.0000827**
Population with primary education (%)
− 1.90e-07***
− 2.05e-07***
− 1.13e-07***
- 4.34e-08
Population with secondary education (%)
1.94e-07***
1.82e-07***
1.15e-07***
6.35e-08**
Constant
0.637015***
0.771425***
0.874303***
0.937965***
Pseudo R2
0.2105
0.1842
0.1662
0.1072
Notes: The asterisks *, **, *** mean statistical significance at 10%, 5%, and 1%, respectively
Looking to Eq. 1 (scores of DEA- CRS entrepreneurial outcomes is the dependent variable), after the financial crisis, during 2015–2019, the positive effects of labour with primary and secondary education (unqualified labour) for the lower level (0.25 quantile) and median level (0.5 quantile) of the conditional distribution, the magnitude of coefficients increase, while, for the quantile 0.75 and quantile 0.90 the magnitude of coefficients decrease.
The most important results were summarized based on the focus of the study, where both methodologies used present an explanation of the research approach and the techniques employed, according to Fig. 4, which consists of entrepreneurial activities and new firm creation in Europe during crisis and post-crisis periods. Based on this table, one can see the diversity of entrepreneurship in Europe, which suggests the discussion of findings in the following subsection.
×
Discussion of findings
In the first step, this study sought to estimate for Europe, during two periods of financial crises and a period after them, the technical efficiency scores of entrepreneurship activities and new firm creation. In the transformation of inputs, and as catalysts of entrepreneurship and creation of new companies, associated variables such as the impulse originated by the unemployment situation, the disposable income to want and be able to undertake new ventures, and the skills and knowledge of academic training with tertiary education held to achieve this transformation were measure by TEA.
Using non-parametric Data Envelopment Analysis (DEA) and parametric Stochastic Frontier Analysis (SFA), the study identified European countries with varying levels of efficiency in entrepreneurship. The analysis revealed that factors like labour productivity, capital productivity, unskilled labour, and educational attainment (primary and secondary levels) significantly impact these efficiency scores.
During and after financial crises, differences in education, career intentions, and student self-efficacy influenced how different workforce segments prepared for entrepreneurial careers. These findings highlight the critical role of education and training in fostering an entrepreneurial mindset, aligning with insights from Ouni and Boujelbene (2023), Boubker et al. (2021), and Paola et al. (2023). Educational institutions, especially universities, are key to developing a multidisciplinary and multicultural outlook, which enhances a country’s entrepreneurial capacity (Paola et al. 2023). Incorporating extracurricular activities can cultivate an entrepreneurial mindset, increasing students’ risk-taking, opportunity recognition, and tolerance (Cui et al. 2021).
The empirical evidence from the first and second stages of this study shows that labour productivity and education significantly influence attitudes toward entrepreneurship and new firm creation. During financial crises, the study found that capital productivity negatively impacts the efficiency of entrepreneurial outcomes. This underscores the interplay between economic conditions and entrepreneurship, where self-employment typically rises during economic booms and falls during recessions (Unel and Upton 2023). The study attributes these findings to reduced EU investments in fixed capital and structural changes in the labour market and education levels, particularly in economically growing countries. It is essential to understand these labour market changes and how different government incentives, such as support for new enterprises or education, can affect entrepreneurial success rates. Effective public policies play a crucial role in fostering entrepreneurship, especially during economic crises or recovery periods (Abdesselam et al. 2018; Castaño et al. 2016; Moro et al. 2020; Veiga and Teixeira 2021). However, generous unemployment benefits, common in developed countries with strong social safety nets, can also discourage entrepreneurship by fostering risk aversion (Bilan and Apostoaie 2023; Leitão and Capucho 2021).
Moreover, the macroeconomic conditions during all the periods of analysis imply incentives for the creation of new companies and stimulate entrepreneurial activities in economies. On the other hand, according to the literature (Boubker et al. 2021; Johnstone et al. 2018; Ouni and Boujelbene 2023; Paola et al. 2023), as the level of education increases, so does labour productivity and investment in fixed capital enabling increases in productivity of capital. In that way, it positively affects competitiveness and stimulates economic growth. So, this research points to increases in labour productivity in the efficiency scores of entrepreneurial outcomes. These results mirror the increase in the total active population in periods when there is economic growth and simultaneously a decrease in unemployment due to the diversion of some proportion of the active population to the creation of new companies and increases in entrepreneurial activities. However, the relationship between unemployment fluctuations and firm creation is complex and varies across countries (Faria et al. 2010). Generally, a higher unemployment rate corresponds to a high rate of self-employment (Payne and Mervar 2017), but this trend occurs mainly in high-performing regions (O'Leary 2022).
In the period after the financial crises, despite the improvement observed over this period in contrast to the period of the financial crises, the period is characterized by the predominance in most EU countries of greater capitalization of the financial system and the reduction in the stock of non-productive workers. These factors may also affect the supply of credit and the difficulty in accessing finance. These levels of leverage may have conditioned the investment capacity and productivity of companies. For instance, during periods of economic recession, high-income families have more resources and thus cope better with the situation enabling them to explore new business opportunities (Albert et al. 2023).
The study reveals that labour productivity and the quality of capital investment significantly impact the technical efficiency of new firm creation. Higher disposable income promotes entrepreneurial activities by facilitating better networking and access to education, which cultivates potential entrepreneurs (Molina 2020; Sharma 2014). Additionally, disposable income boosts consumer demand, creating more business opportunities (Alp and Seven 2019).
This research underscores the impact of educational qualifications on human capital, particularly in countries with economic constraints. These constraints lead to lower labour productivity and employment challenges, especially during economic downturns like financial and sovereign crises. Acquiring skills to improve business prospects becomes crucial under such conditions (Henderson et al. 2017; Rahmani and Groot 2023).
The study also highlights the dynamics between opportunity-driven and necessity-driven entrepreneurship. During economic crises, high unemployment pushes individuals towards necessity-driven entrepreneurship to generate income. Conversely, economic recoveries foster opportunity-driven entrepreneurship as market opportunities emerge. Education is a key factor in this context; higher education levels are linked to increased productivity and capital investment, facilitating opportunity-driven entrepreneurship.
By examining these dynamics, policymakers and economists can better assess economic resilience. A diverse entrepreneurial landscape, including both necessity-driven and opportunity-driven entrepreneurs, fosters innovation, job creation, and economic growth. Thus, entrepreneurship is crucial for national development, offering insights into how economic factors interact with entrepreneurial activity, especially during economic crises, and suggesting practical implications for policy and management.
Practical and policy implications
Based on the findings of the study, there are some recommendations for managers and governments. The findings indicate that during and after financial crises, individuals’ education levels and career intentions, as well as their self-efficacy development, influence their inclination towards entrepreneurship. Governments should prioritize investments in education and training programs aimed at fostering entrepreneurial skills and mindsets among the workforce (AlQershi et al. 2023; Barba-Sánchez et al. 2017; Silva et al. 2023). This includes incorporating entrepreneurship education into school curriculums and providing support for vocational training and higher education programs focused on entrepreneurship.
Moreover, the study reveals a complex relationship between economic conditions and entrepreneurship. During periods of economic expansion, there is an increase in entrepreneurial activities, while recessions may lead to a decrease. Thus, managers and governments should work together to improve access to finance for aspiring entrepreneurs, particularly during periods of economic downturns. This could involve developing tailored financial assistance programs, reducing bureaucratic hurdles for accessing loans and promoting alternative financing options such as venture capital and crowdfunding.
The study also highlights the importance of disposable income in facilitating entrepreneurial activities, as it enables individuals to allocate more resources to ventures and access better networking opportunities (Albert et al. 2023; Arenius and De Clercq 2005; Sharma 2014). So, governments should address structural inequalities that hinder entrepreneurship, such as disparities in access to education, finance, and opportunities based on factors like gender, ethnicity, and socioeconomic background. Managers can contribute by implementing diversity and inclusion initiatives within their organizations and advocating for policies that promote equal opportunities for all aspiring entrepreneurs.
The relationship between unemployment fluctuations and business creation is complex and varies by country (Faria et al. 2010). Higher unemployment rates often boost self-employment, especially in high-performing regions (Payne and Mervar 2017; O'Leary 2022). Generous unemployment compensation can both provide security and discourage entrepreneurship, particularly in developed countries (Bilan and Apostoaie 2023; Leitão and Capucho 2021). Managers and governments should promote risk-taking and innovation by rewarding entrepreneurship, encouraging continuous learning, and providing incentives for innovation. Policies should support access to education, offer financial assistance, and create an enabling environment for business creation to encourage both necessity- and opportunity-driven entrepreneurship.
Still in terms of political implications, despite the existing disparities in levels of labour and capital, including the differentials in productivity by educational attainment level, it is argued that in Europe, entrepreneurial opportunities deserve to be equalised, in terms of promoting policies and programmes to support self-employment creation through activating the unemployed workforce and reducing dependency on unemployment benefits (passive-active measure). In this way, these implications also allow for transforming unemployment benefits into investment capital, thus promoting the implementation of new businesses with a certain entrepreneurial profile.
On the other hand, when the unemployed allow themselves to be reintegrated into the labour market as entrepreneurs, they are attempting to respond to the demands of flexibility in the new architecture of labour market organisation. It is important to emphasise that our results suggest that the unemployed with higher qualifications and experience in business or entrepreneurial activities have consolidated knowledge of how to proceed, possessing networks of contacts and building a client portfolio, which has boosted their self-esteem and provided strong incentives for self-employment and, consequently, the creation of new firms.
By implementing these recommendations, managers and governments can help create a more supportive environment for entrepreneurship, stimulate economic growth, and foster innovation and job creation in their communities.
Conclusions, limitations, and future studies
This study first presented an overview of the performance of entrepreneurial activities and the creation of new companies in Europe during the crisis period 2008–2014 and in the post-crisis period 2015–2019. Second, it assessed the impact of socioeconomic variables on entrepreneurial activities and firm creation. This study proposed a new framework theoretical for examining the relationship between entrepreneurial activities and their determinants of economic growth. Consequently, this investigation, in the first step, the different scores of technical efficiencies among European countries, which justified the application of both the SFA and the DEA to make a comparative analysis of the results of entrepreneurship activities and newly created companies obtained by these two methodologies. In the second stage, this research examined the impacts of some control variables, including labour productivity, capital productivity, labour with primary and secondary education, and population with primary and secondary education, on the efficiency scores of the entrepreneurial outcomes used.
In terms of technical efficiency, estimated in the first step for the 2008–2010 period, the European countries presenting the maximum score according to the DEA-CRS model are Lithuania, Estonia, and the Netherlands. According to the SFA, the countries presenting the lowest levels of inefficiency are the Netherlands and France. Malta, however, presents the highest level of inefficiency during both of the financial crises, according to the SFA technique. In the second period of the financial crisis, according to the DEA-CRS, Lithuania shows a maximum score for efficiency, while Belgium is the most inefficient. On the other hand, according to the SFA results, Estonia, Lithuania, the Czech Republic, Greece, Denmark, Finland and Hungary show the highest values of efficiency (less inefficiency), while Malta and Cyprus are the most inefficient, with the lowest scores for entrepreneurial outcomes and efficiency. When the results for the DEA-CRS for 2015–2019 are considered, after the financial crisis, Lithuania, Estonia, Latvia, and the Netherlands, show a maximum score for efficiency, while Belgium and Finland present the highest inefficiency. Moreover, looking at the results of the SFA in this period after the crisis, Estonia, Romania, Denmark, and the Netherlands are the most efficient, while Austria, the Czech Republic, Hungary, and Slovenia present the highest inefficiency in terms of entrepreneurial outcomes.
During financial crises, capital productivity negatively impacts the efficiency of entrepreneurial outcomes. This is due to reduced EU investments in fixed capital and structural changes in the labour market and education levels, especially in growing economies. Bootstrap Quantile Regression analysis from 2008–2014 shows that labour productivity for primary and secondary education levels and population percentages at higher quantiles increase, except at the 0.90 quantile. Europe’s diverse cultural, economic, and regulatory factors influence entrepreneurial activities, offering a comprehensive understanding of its entrepreneurial ecosystem.
The present study also has some limitations. First, the study relied on secondary data sources, which may have inherent limitations such as data accuracy, completeness, and consistency. Future studies could benefit from using primary data collection methods to overcome these limitations. Second, the study focused on Europe, and therefore, the findings may not be generalizable to other regions or countries outside of Europe. Future research could explore entrepreneurial activities in different regions to provide a more comprehensive understanding. Third, the study analysed data from two specific periods, namely during and after financial crises. However, entrepreneurial activities may be influenced by various other temporal factors, such as technological advancements, policy changes, and market trends. Future research could consider a longer time frame to capture these dynamics more comprehensively. Another interesting study would be to explore entrepreneurship within specific industries or sectors to understand sector-specific challenges and opportunities for entrepreneurship development.
Acknowledgements
The authors wish to thank CEOS—Centre for Social and Organizational Studies, NECE—Research Center in Business Sciences and CETRAD—Research Center for Transdisciplinary Development Studies.
Declarations
Agradecimientos
Los autores desean agradecer al CEOS—Centro de Estudios Sociales y Organizacionales, al NECE—Centro de Investigación en Ciencias Empresariales y al CETRAD—Centro de Estudios para el Desarrollo Transdisciplinario.
Financiación
Este trabajo fue apoyado por la FCT—Fundación para la Ciencia y la Tecnología (UIDB/04630/2020).
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