INTRODUCTION
⌅Companies from all sectors need to grow and to maintain the income from their investment (Penrose & Penrose, 1959; Jeewandarage, 2021). Those companies that cannot grow in an environment in which the rest of the companies are growing at the same or higher rate as the sector average will lose market share and most probably disappear (Penrose & Penrose, 1959; Porter, 1985; Barney, 1991; Grant, 2010). Growth is undoubtedly the most cited factor of business success (Martín-García & Morán, 2021), although there is no unanimity with respect to defining the variable or variables that should be used to measure it (Jeewandarage, 2021; Martin-García & Morán, 2021), and in many cases there is no correlation between the different measures used (van Witteloostuijn & Kolkman, 2019; Jeewandarage, 2021).
However, at the end of the last century a new paradigm emerged which questioned the capacity of human activity to continue growing indefinitely: sustainability (Choi & Gray, 2008). ‘‘Sustainable development’’ was initially defined as ‘‘development that meets the needs of the present without compromising the ability of the future generation to meet their needs” (World Commission on Environment and Development, 1987). Climate change, the exhaustion of resources, pressure on fundamental elements for human life, such as air or water, droughts, floods, the greenhouse effect or famines seem to call into question our capacity to continue stretching the resources provided by planet earth (Theis & Tomkin, 2015). Business growth largely depends on the same economic activities that generate a loss of biodiversity, climate change, the degradation of the soil, the pollution of water and unsustainable geochemical flows (Theis & Tomkin, 2015). However, without economic growth economies go into recession which leads to unemployment and poverty. Therefore, the global economy is headed towards a conflict between sustainability and economic growth.
Most of the literature explains business growth by business productivity (Melitz, 2003; Helpman et al., 2004; Bernard et al., 2012; and Fariñas et al., 2021, for Spain). However, there is an emerging strand of literature that recommends a more in-depth study of new management models, as an alternative to explaining company growth (Huerta & Salas, 2012). This new literature suggests that improvement in business management constitutes an additional source of growth: increasing human capital, professionalising business management and implementing good management practices.
The contribution of our work is inserted in this new literature. The strategic decision to guide the company towards sustainability does not hinder its growth, but, in fact, is an element that boosts it. Therefore, when companies take this line of action, they do not face a dilemma between growth and sustainability but can adopt practices oriented towards the latter not only without threatening their growth, but also favouring it. There are hardly any studies that analyse this relationship between sustainability and growth in companies (Moore & Manring, 2009; Gupta et al., 2013).
This article seeks to cover this gap in the knowledge and to do this it will focus on the Spanish wine industry. Spain is the country with the largest area of vineyards in the world with 964 thousand of hectares in 2021, although in terms of production, it holds third place with 35.3 MhL after Italy (50.2 MhL) and France (37.6 MhL) representing 47% of world wine production in 2021 (OIV, 2022). In Spain, the winemaking activity generates 23.7 billion euros per year, equivalent to 2.2% of gross domestic product. In terms of employment, the sector provides 427,700 jobs, representing 2.4% of employment in Spain; 215,300 people are employed directly and the employment of the remaining 212,400 is indirect or induced (Interprofesional del Vino en España, 2020). In January 2023, a total of 4,130 wineries were registered, which employed an average number of 10 workers and were, on the whole, small companies (SABI, 2023).
The wine sector in Spain is continually growing. Therefore, average production has increased, despite the reduction in the area of vineyards due to an increase in yield of 18% from an average of 38 hL/ha to 45 hL/ha between 2008 and 2018 (OEMV, 2019). During the period between 2010 and 2021, exports increased by 36% in terms of volume (1.520 billion litres in 2010 as opposed to 2.077 billion in 2021) and 59% in terms of value (€1.448 billion in 2010 and €2.304 billion in 2021) (OEMV, 2022). The turnover of companies has grown by 26.6% over the last five years (SABI, 2023).
The wine industry has a series of specific characteristics that connect it to sustainability, as it is developed on the soil, which is subject to the vagaries of the weather and climate change, floods, cold snaps and droughts, which directly affect its production (Barbosa et al., 2018; Ferrer et al., 2020).
Therefore, this study analysed whether the growth of Spanish wineries is favoured by an orientation towards sustainability and the possible existence of other factors that also drive the growth of wineries, such as innovation, management resources and structural factors, such as size and age. The results enable us to contribute to the open debate on whether it is possible to make sustainability compatible with growth and, therefore, to show the sector’s ability to meet the challenges imposed by society, stakeholders and the global economy on climate change.
The study of the growth of firms dates back more than one hundred years (van Witteloostuijn & Kolkman, 2019), with the book by Penrose & Penrose (1959) being a fundamental element in its theoretical development (Pitelis, 2009). There are two ways in which a company can grow: organically or through acquisition. A firm can grow organically by using unused productive services and a new combination of resources within the firm; alternatively, a firm can grow through acquisition, by buying another firm (Jeewandarage, 2021).
Companies are bundles of resources, under internal direction, for producing goods and services, sold in markets for a profit. Their boundaries are defined by the area of coordination and “authoritative communication” (Penrose & Penrose, 1959). Their growth is conditioned by the availability of superior human and management resources that foster innovation and determine the direction of the growth (Davidsson, 1991). Companies can obtain economies of growth and economies of size. Therefore, there is a limit to growth, but not to size. The limit to growth is determined by the capacity to absorb new resources which the management of the company can interiorise.
The factors that drive growth can be internal or external (O´Gorman, 2001). The internal factors have a strong emphasis on internal development (Achtenhagen et al., 2010), where, like a natural biological process, an increase in firm size is a consequence of interactive internal changes (Jeewandarage, 2021). Companies grow by increasing their productivity. Business heterogeneity can enable an increase in productivity through new management models, incentive systems or organisational structures that foster greater interaction between managers and workers (Huerta & Salas, 2012). In short, with elements that define the business management and the capital of the organisation (Eisfeldt & Papanikolaou, 2013).
The resource-based view of growth was proposed by Penrose & Penrose (1959) and has become one of the most relevant lines of the conceptualisation of the growth of firms (Gupta et al., 2013). The resources that have been linked to growth are technology and innovation, which enable faster growth, but also marketing skills, which allow the firm to respond to the changes in the market and construct new distribution channels (O´Gorman, 2001).
External factors, outside of the company, have a large influence on the firm’s growth. The most relevant are the characteristics of the sector in which the company develops its activity. However, the company has a very low capacity for action with respect to the external factors.
Another problem that emerges when studying growth is the determination of its form of measurement as there is no consensus in this respect (Achtenhagen et al., 2010).
The most commonly used variables for measuring the growth of companies are: employment growth, sales growth, profit, return on equity (ROE), return on assets (ROA) and entrepreneurs’ perceived growth relative to their competitors in terms of increase in company value. However, there is a very weak correlation between growth measures used by entrepreneurship researchers and the respondents’ perceived increase in company value relative to their competitors (Achtenhagen et al., 2010). This lack of correlation between the variables used to measure growth may be due to the existence of two different meanings of the term growth. On the one hand, it is sometimes used to explain a mere increase in quantity, for example, when we refer to the “growth” of production, exports or sales. On the other hand, its primary meaning is also used, which implies an increase in the size or improvement in quality as a result of a development process, more related to the measurement of the intentions/aspirations for growth or the will to grow (Penrose & Penrose, 1959; Achtenhagen et al., 2010). This bipolarity highlights how the nature of growth is a multidimensional and complex process (Delmar, 2019). Some authors even show how in the study of growth there is no coherence in the perception of which “variables” are dependent, independent or mediators (Delmar, 2019).
Small and medium-sized companies are considered to constitute the backbone of the economy (Gupta et al., 2013). They are also highly important for sustainable environmental development (Moore & Marning, 2009; Andersén et al., 2020). Smaller and newly created companies are considered as “drivers” of sustainable development (Klapper et al., 2021). However, small companies are usually less concerned about the environment than the large ones due to a lack of resources and because they are subject to less external pressure (Touboulic et al., 2014; Andersén et al., 2020).
The managers play a fundamental role in directing the company towards sustainable growth, for example, through greater awareness when purchasing supplies (Anderson & Eshima, 2013; Andersén et al., 2020), by acknowledging that business growth must be linked to ecological and societal issues, as well as higher quality products (Choi & Gray, 2008; Genus, 2021; Klapper et al., 2021). The sustainable entrepreneur should attempt to combine growth and sustainability (Muñoz & Cohen, 2018; Genus, 2021).
The concern of companies for the environment may take the form of incorporating the three pillars of sustainability (social, environmental and economic) in their business model and also achieving growth (Moore & Marning, 2009; Klapper et al., 2021). The adoption of sustainability stimulates, through innovation, the development of virtuous cycles, creating opportunities and reconciling different objectives (Genus, 2021). This gives rise to a dynamic capacity (Aragón-Correa & Sharma, 2003) that facilitates growth paths (Gupta et al., 2013). Following green and sustainable policies improves the differentiation strategy of the company, bestowing it a competitive advantage (Choi & Gray, 2008; Andersén, 2021).
There is a significant lack of studies that relate the wine industry with growth and sustainability (Gilinsky et al., 2016; Castillo, 2022). The study by Gilinsky et al (2016) is based on a qualitative analysis of interviews with the managers of four wineries of California, New Zealand and Spain. And the research conducted by Castillo (2022) addresses the need to connect exports, sustainability and growth. There are studies that relate the consumer’s propensity to pay for sustainable or ecological wines, although they produce contradictory results (e.g., Moscovici & Reed, 2018; Ouvrard et al., 2020). Other studies have also addressed the relationship between sustainable policies and performance in the wine industry in Spain, also with contradictory findings. The results were positive between performance and sustainability, in its three dimensions, social, environmental and economic (García-Cortijo et al., 2021), and negative in the case of the analysis of Corporate Social Responsibility (Muñoz & Cohen, 2018). Others have analysed how the changes in the preferences of the market towards sustainable products are related to a positive propensity of consumers to purchase the products of the company, which can lead to an increase in sales (Moscovici & Reed, 2018). Another study examines how the stakeholder engagement and the sensitivity of the entrepreneur can lead the company to adopt sustainable strategies, which, in turn, can give rise to the innovation of products, the prevention of pollution and a better management of natural resources (Santini et al., 2013; De Steur, et al., 2020). The improvement in the adoption of innovations aimed at sustainability can have a secondary effect on the winery as it constitutes a strategy for differentiating its products. This can give rise to a competitive advantage (De Steur et al., 2020; Ferrer et al., 2022) and growth opportunity (Gilinsky et al., 2016; Castillo, 2022).
Within this theoretical context, those wineries that are able to include sustainability in their objectives will be more prepared to take advantage of the opportunities and respond to the threats of the environment and will be better equipped to grow. Accordingly, we propose the verification of the following hypotheses:
Hypothesis 1: Wineries can make growth compatible with sustainability in such a way that an orientation towards the latter can drive growth.
On the other hand, the availability of differential management resources more oriented towards the changes in the environment favours the dynamism of the company. This availability of management resources determines the incentives, the obstacles and the directions of development of a company (Arias, 2022,) and contributes to the differentiation between companies and their development (Schwab, 2019). Therefore, a second hypothesis is formulated based on the role played by management resources in the growth of the company:
Hypothesis 2: The wineries with better management resources than their competitors will also achieve higher growth.
MATERIAL AND METHODS
⌅Sample and variables
⌅The database used is made up of companies that operate in Spain and whose economic activity is wine-making (code 1102 of Spain’s National Registry of Economic Activities, 2009). The data were obtained through surveys carried out in 2020 and 2021 with a total of 411 responses. All wineries acting as independent companies, according to the Iberian Balance Sheets Analysis System (SABI) and Appellation of Origin databases and operating at the time of the survey were selected; a total of 2,977 wineries. The manager of each of the companies was contacted via email (Spanos & Lioukas, 2001). The wineries were given one month to respond and if during that time no response was provided, a telephone reminder was made. The final sample consisted of 411 valid responses, which meant a response rate of 14%, similar to the amount reported by Baruch & Holtom (2008). This number has no problems of significance for the results because the error represents 0.1%, according to the variable of net amount of total turnover for the year 2020. In this year, the sales of the 411 companies were 764 million euros compared to the 7.3 billion euros of the rest of the sector, according to SABI.
The sample obtained has the same properties as the population and is representative of the distribution across the national territory (Table 1). In addition, the companies of the sample and those of the population share similar results in their balance sheet and profit and loss account, with similarities in the items referring to operating income, the number of employees, assets and the yearly results (Table 1).
Region | Sample | Population | Significance of sample | |||
---|---|---|---|---|---|---|
No. of wineries (a) | % of the total of the sample (b) | No. of wineries (c) | % of the total of the population (d) | Difference in absolute value /(b-c)/ (e) | Margin of error (f) | |
Andalusia | 33 | 8.03% | 314 | 7.58% | 0.45 | 0.164 |
Aragon | 27 | 6.57% | 150 | 3.62% | 2.95 | 0.171 |
Asturias | 2 | 0.49% | 12 | 0.29% | 0.20 | 0.661 |
Canary Islands | 16 | 3.89% | 86 | 2.08% | 1.81 | 0.222 |
Cantabria | 0 | 0% | 9 | 0.22% | 0.22 | - |
Castilla y León | 61 | 14.84% | 699 | 16.88% | 2.04 | 0.12 |
Castilla-La Mancha | 38 | 9.25% | 428 | 10.33% | 1.08 | 0.154 |
Cataluña | 60 | 14.60% | 636 | 15.35% | 0.75 | 0.12 |
Comunidad Valenciana | 20 | 4.87% | 219 | 5.29% | 0.42 | 0.209 |
Extremadura | 9 | 2.19% | 102 | 2.46% | 0.27 | 0.313 |
Galicia | 45 | 10.95% | 385 | 9.30% | 1.65 | 0.137 |
Balearic Islands | 9 | 2.19% | 82 | 1.98% | 0.21 | 0.31 |
La Rioja | 22 | 5.35% | 339 | 8.18% | 2.83 | 0.2 |
Madrid | 20 | 4.87% | 211 | 5.09% | 0.22 | 0.21 |
Melilla | 0 | 0% | 1 | 0.02% | 0.02 | - |
Murcia | 6 | 1.46% | 91 | 2.20% | 0.74 | 0.39 |
Navarra | 17 | 4.14% | 105 | 2.54% | 1.60 | 0.22 |
Basque Country | 26 | 6.33% | 273 | 6.59% | 0.26 | 0.18 |
Total | 411 | 100.00% | 4,142 | 100.00% | 0.001111 | 0.046 |
Variables of the BALANCE SHEET and PROFIT AND LOSS ACCOUNT | ||||||
Sample average | Population average | |||||
Operating income (thousands of EUR) | 2,454.68 | 2,504.58 | ||||
Number of employees | 11.86 | 10.32 | ||||
Total Assets (thousands of EUR) | 5,499.38 | 5,084.87 | ||||
Yearly result (thousands of EUR) | 74.13 | 86.16 |
The survey data present a similar distribution in terms of size characterization according to number of employees and turnover (see Table 2). The questionnaire is presented in Table 3. Column 1 shows the questions posed to the managers and Column 2 shows the variables derived, which are explained later in Tables 4 and 5.
Source and type of company | ||||
---|---|---|---|---|
SABI | Survey | |||
N | % of total | N | % of total | |
Number of employees | ||||
Micro <10 | 2224 | 78.9 | 246 | 71.5 |
Small 10-49 | 517 | 18.3 | 84 | 24.4 |
Medium 50-249 | 71 | 2.5 | 14 | 4.0 |
Larger than 250 | 4 | 0.2 | 0 | 0.0 |
Larger than 50 | 75 | 2.7 | 14 | 4.0 |
No data available | 0 | 0 | 7 | 0.02 |
Total | 2816 | 100 | 351 | 100 |
Income of sales in 106 euros | ||||
Micro <2 | 2005 | 79.9 | 183 | 77.5 |
Small 2-10 | 379 | 15.1 | 37 | 15.7 |
Medium 10-50 | 108 | 4.3 | 15 | 6.3 |
Larger than 50 | 18 | 0.7 | 1 | 0.4 |
No data available | 306 | 115 | ||
Total | 2816 | 351 |
Questionnaire | Variables generated in the model |
---|---|
Question 1: your company's investment in vineyards is carried out by: (a) adjusting costs (b) without major changes (c) growing by investing. | Growth in vineyard, YGROWTH IN VINEYARD |
Question 2: your company’s investment in the winery is achieved by means of: (a) adjusting costs (b) without major changes (c) growing by investing. | Growth in winery, YGROWTH IN WINERY |
Question 3: your company’s investment in management is made through: (a) adjusting costs (b) without major changes (c) growing by investing. | Growth in management. YGROWTH IN MANAGEMENT |
Question 4: Indicate your interest in Organic Wine as an environmental measure, on a scale of 1 to 5, where 1 is a low level of interest and 5 a very high level of interest. | Organic wine (OW) |
Question 5: Indicate your interest in the calculation of the carbon footprint as an environmental measure, on a scale of 1 to 5, where 1 is a low level of interest and 5 a very high level of interest. | Carbon footprint (CF) |
Question 6: Indicate your interest in Corporate Social Responsibility as an Environmental measure, on a scale of 1 to 5, where 1 is a low level of interest and 5 a very high level of interest. | Corporate responsibility (CSR) |
Question 7: In relation to the competition in resources for innovation, the position of your company with respect to the competition is: a) much worse b) worse c) same d) better e) much better. | Innovation resources (INR) |
Question 8: In relation to marketing resources, the position of your company with respect to the competition is: a) much worse b) worse c) same d) better e) much better . | Marketing resources (MKR) |
Question 9: In relation to human resources, the position of your company with respect to the competition is: a) much worse b) worse c) same d) better e) much better | Human resources (HR) |
Question 10: In relation to network resources, the position of your company with respect to the competition is: a) much worse b) worse c) same d) better e) much better | Network resources (NR) |
Question 11: In relation to management resources, the position of your company with respect to the competition is: a) much worse b) worse c) same d) better e) much better | Management resources (MR) |
Question 12: In relation to financial resources, the position of your company with respect to the competition is: a) much worse b) worse c) same d) better e) much better | Financial resources (FR) |
Question 13: How old is the company? | Age (AGE) |
Question 14: In what range is your turnover? a) less than 50 thousand euros b) between 50 thousand and 200 thousand euros c) between 200 thousand and one million euros d) between 1 and 5 million euros e) between 5 and 10 million euros f) between 10 and 20 million euros g) over 20 million euros | Size (SIZE) |
Question 15: What is the company's ROA range? a) less than 5% b) between 5% and 15% c) between 15% and 25% d) between 25% and 35% e) between 35% and 45% f) more than 45% | Profitability (ROA) |
Question 16: Does your company export? | Exports (X) |
Dependent variable
Following the recommendations regarding the dimensions for analysing growth of Delmar (2019), this study used a growth indicator based on the assets of the company (O’Gorman, 2001). To do this, we used the aggregate of the future investment decisions of the company in three of the most important links of its value chain: the vineyard, the winery and the management systems (Interprofesional del Vino en España, 2020), through the question to the company managers about their will to grow (Andersén, 2021).
A growth index was formed YGROWTH, i which was a result of adding together the three measures of the company’s will to grow in three aspects: 1) will to grow in the vineyard (YGROWTH IN VINEYARD), 2) will to grow in the winery (YGROWTH IN WINERY), 3) will to grow in management, marketing and sales (YGROWTH IN MANANGEMENT). Whereby:
YGROWTH = YGROWTH IN VINEYARD + YGROWTH IN WINERY + YGROWTH IN MANAGEMENT
Each item evaluates the will of the company in terms of how it intends to approach the following three years, using a Likert scale where the three possible responses are: 1 cost adjustment, 2 no major changes and 3 growth through investing (see 5).
Description | Mean | Standard deviation | Minimum | Maximum | |
---|---|---|---|---|---|
Growth in vineyard (YGROWTH IN VINEYARD) | |||||
Value 1: cost adjustment | 1.83 | 0.69 | 1 | 3 | |
Value 2: no major changes | |||||
Value 3: growth through investment | |||||
Growth in winery (YGROWTH IN WINERY) | |||||
Value 1: cost adjustment | 1.74 | 0.73 | 1 | 3 | |
Value 2: no major changes | |||||
Value 3: growth through investment | |||||
Growth in management (YGROWTH IN MANAGEMENT) | |||||
Value 1: cost adjustment | 2.12 | 0.78 | 1 | 3 | |
Value 2: no major changes | |||||
Value 3: growth through investment | |||||
Growth in management (YGROWTH IN MANAGEMENT) | YINVESTMENT VINEYARD + YINVESTMENT WINERY + YINVESTMENT MANAGEMENT | 4.30 | 1.99 | 1 | 9 |
The descriptive statistics of the endogenous variable are those that appear in Table 5.
Variables | Description |
---|---|
SUSTAINABILITY | |
Sustainability index (SI) | This is the sum of the three items (explained in the lines below) SI = OW+ CF+CSR |
Organic wine (OW) | The wineries scored their interest in Organic Wine as an environmental measure on a scale of 1 to 5 where 1 was a low level of interest and 5 a very high level of interest. |
Carbon footprint (CF) | The wineries scored their interest in the calculation of the carbon footprint on a scale of 1 to 5 where 1 was a low level of interest and 5 a very high level of interest. |
Corporate responsibility (CSR) | The wineries scored their interest in adopting this measure on a scale of 1 to 5 where 1 was a low level of interest and 5 a very high level of interest. |
RESOURCES | |
Innovation resources (INR) | Value of 1 if the company had a position that was much worse than the competition Value of 2 if the company had a position that was worse than the competition Value of 3 if the company had a position that was the same as the competition Value of 4 if the company had a position that was better than the competition Value of 5 if the company had a position that was much better than the competition |
Marketing resources (MKR) | Value of 1 if the company had a position that was much worse than the competition Value of 2 if the company had a position that was worse than the competition Value of 3 if the company had a position that was the same as the competition Value of 4 if the company had a position that was better than the competition Value of 5 if the company had a position that was much better than the competition |
Human resources (HR) | Value of 1 if the company had a position that was much worse than the competition Value of 2 if the company had a position that was worse than the competition Value of 3 if the company had a position that was the same as the competition Value of 4 if the company had a position that was better than the competition Value of 5 if the company had a position that was much better than the competition |
Network resources (NR) | Value of 1 if the company had a position that was much worse than the competition Value of 2 if the company had a position that was worse than the competition Value of 3 if the company had a position that was the same as the competition Value of 4 if the company had a position that was better than the competition Value of 5 if the company had a position that was much better than the competition |
Management resources (MR) | Value of 1 if the company had a position that was much worse than the competition Value of 2 if the company had a position that was worse than the competition Value of 3 if the company had a position that was the same as the competition Value of 4 if the company had a position that was better than the competition Value of 5 if the company had a position that was much better than the competition |
Financial resources (FR) | Value of 1 if the company had a position that was much worse than the competition Value of 2 if the company had a position that was worse than the competition Value of 3 if the company had a position that was the same as the competition Value of 4 if the company had a position that was better than the competition Value of 5 if the company had a position that was much better than the competition |
STRUCTURAL FACTORS | |
Age (AGE) | Years from the creation of the company until 2021 (date of the study) |
Size (SIZE) | Measured by the turnover amount: Value of 1: Less than 50 thousand euros Value of 2: Between 50 thousand and 200 thousand euros Value of 3: Between 200 thousand and one million euros Value of 4: Between 1 and 5 million euros Value of 5: Between 5 and 10 million euros Value of 6: Between 10 and 20 million euros Value of 7: Over 20 million euros |
Profitability ROA | Value of 1 if ROA is less than 5% Value of 2 if ROA is between 5% and 15% Value of 3 if ROA is between 15% and 25% Value of 4 if ROA is between 25% and 35% Value of 5 if ROA is between 35% and 45% Value of 6 if ROA is more than 45% |
Exports (X) | Takes the value of 1 if the wineries export and 0 otherwise |
Independent variables
In accordance with the theory, the independent variables (described in Table 5) have been classified into three blocks: 1) Sustainability (SI), which is calculated by adding the three variables that capture the interest that the company has in organic wine, the carbon footprint and corporate responsibility (García-Cortijo et al., 2021; Ferrer et al., 2022).
2) Resources determine the company’s capacity to grow (Penrose & Penrose, 1959) and its orientation towards sustainability (Knight et al., 2018). In this case, the following are studied: innovation resources (INR), marketing resources (MKR), human resources (HR), network resources (NR), management resources (MR), and financial resources (FR).
3) Structural factors analyse age (AGE), size (SIZE), economic performance (ROA) and exports (X).
The statistics of each variable are presented in Table 6.
Variables | Mean | Standard deviation | Minimum | Maximum |
---|---|---|---|---|
Sustainability index | 10.83073 | 2.952185 | 3 | 15 |
Innovation resources | 2.989924 | 0.9427551 | 1 | 5 |
Marketing resources | 2.679293 | 0.9785939 | 1 | 5 |
Human resources | 3.017722 | 0.8651105 | 1 | 5 |
Network resources | 2.903308 | 0.848657 | 1 | 5 |
Management resources | 2.972081 | 0.8481275 | 1 | 5 |
Financial resources | 2.936709 | 0.9199119 | 1 | 5 |
Age | 39.43564 | 104.0772 | 1 | 300 |
Size | 2.746702 | 1.284506 | 1 | 7 |
Profitability | 2.091185 | 1.001926 | 1 | 5 |
Functional form
⌅A regression model was proposed in order to develop the study. Its analytical expression is as follows:
substituting Xki with the set of exogenous variables, we obtain:
with i= 1, 2…411 wineries
where the random error ui follows a normal distribution with a mean of zero, E(ui)=0 and the error variance is not constant, Var(ui) = σi2, that is, ui~N(0,σi2).
In this model, the fifth Gauss–Markov assumption of homoskedasticity of the random error Var(ui) = Var(uj) = σ2, ∀i ≠ j, is not fulfilled. Therefore, the construction of confidence intervals and the testing of the hypothesis based on the usual expression of the standard error of the coefficients estimated
with xi = Xi - X̅, are not valid. One solution to solve the problem of heteroskedasticity consists in using the Robust Errors or Standard Errors of Eicker-White (Croux et al., 2003; Bianco et al., 2005; Baltagi, 2008), as in the studies of Martinez-Ferrero & Frias-Aceituno (2015), Oczkowsk (2015), Knight et al. (2018), Meng et al. (2018), Qureshi et al. (2020). Thus, to resolve the non-compliance with the fifth Gauss-Markov assumption and to be able to construct the confidence intervals and test the hypotheses, the Eiker-White error estimation method has been used, where
The advantage of this technique is that it can be applied without the need to know the specific pattern followed by the heteroskedasticity in each case. It can be used to carry out statistical inference immune to heteroskedasticity (King & Roberts, 2015).