1. Introduction
Climate change, environmental degradation, and a significant dependence on the import of energy resources pose a threat to the stable development of Europe and the whole world. To overcome the above challenges, it is necessary to create a resource-efficient and competitive economy. This is stated in the European Union Deal [
1,
2,
3]. According to the European Green Deal, by 2030, it is necessary to reduce greenhouse gas emissions by up to 55% (compared to 1990) and ensure sustainable economic growth without increasing the use of fossil fuel resources. It is obvious that the reduction of greenhouse gas emissions requires an increase in the share of renewable energy use [
4,
5] and an increase in energy efficiency.
Regarding sustainable economic growth, a systematic approach to all possible factors of sustainable development through economic, ecological, and social mechanisms is important. The goal of a sustainable approach is to ensure economic growth, social justice, and the preservation of natural resources for future generations [
6]. It should be noted that the growth of energy consumption is inherent in economic development (growth). The relationship between the consumption of energy resources and economic development is considered according to four hypotheses: growth, conservation neutrality and feedback [
7,
8]. As for the growth hypothesis, it assumes that energy resources have a direct impact on economic development and are an important production factor.
Scientists argue that any changes in energy policies have a significant impact on economic growth; however, the given evidence is not parametric [
9]. Sustainable development of the economy is a complex process [
10] which involves the promotion of innovative solutions in all sectors of the economy: the introduction of new technologies, increased investment in the development of renewable energy, a reduction in the amount of wastes, etc. [
11]. In addition, it is important to reduce the import dependence of energy resources [
12] in view of recent geopolitical events, in particular, the invasion of Russian troops into Ukraine. In addition, the sustainable development of the economy in compliance with the requirements of the European Union Deal needs to take into account regional characteristics. After all, regions can have different potentials for the development of certain sectors of the economy and infrastructure. National targets for the use of renewable energy may differ, because different starting opportunities and different potentials for increasing the production of renewable energy in different European countries have an impact [
13].
This is why a significant amount of scientific research is aimed at establishing the relationship between economic growth (according to its various indicators) and the consumption of energy resources in general, or the production of renewable energy.
2. Literature Review
In general, it is believed that the consumption of energy resources stimulates the growth of the gross national product [
14]. In some studies, the positive effect of economic growth (in gross domestic product, gross domestic product per capita, etc.) on the increase in the consumption of renewable energy in the final energy consumption was shown. The research was conducted on various macroeconomic variables, on various directions of interrelationships, for various time periods, for various groups of countries. In particular, work [
15] presented a ranking assessment of progress in the management of renewable energy consumption and determined the relationship between energy consumption by selected energy sources (both renewable and non-renewable) and selected indicators of innovativeness in the EU countries. The results of the study indicate that not all countries have developed energy management in the direction of renewable energy sources.
The work established the connection between the level of innovativeness of the country and the consumption of energy from certain types of renewable sources. However, the overall mutual influence of the level of renewable energy consumption on the gross domestic product was not investigated. The study [
16] confirmed a positive relationship between the consumption of renewable energy and the economic growth of African countries, but no specific mathematical dependencies were given. The analysis of the results of the study carried out for 28 countries of the European Union in the period from 1995 to 2015 [
17] testified to a positive impact of the consumption of renewable energy on the economic growth and on the cause-and-effect relationship between the studied indicators. In particular, linear regression revealed an increasing trend between the consumption of renewable energy and the final consumption of all energy. The paper [
18] investigated the causal relationship between economic growth, consumption of renewable energy, capital, and labor for new EU member states for the period 1990–2009. The results of the study confirmed the positive impact of the use of renewable energy on economic growth in all studied countries. Paper [
19] examined the impact of the use of renewable energy sources in gross marginal energy on growth for a lower-income Polish economy and a high-income Swedish economy. It was established that the increase in gross marginal energy consumption contributes to an increase in economic growth. Additionally, the share of renewable energy can be dramatically increased by taking measures to accelerate economic growth in less developed countries and promoting national initiatives. However, the studies [
18,
19] did not consider scenarios concerning the influence of the level of renewable energy use on the general growth of energy consumption in the process of economic growth.
The study [
20] analyzed the relationship (between 1990 and 2016) between renewable energy consumption and economic growth in 17 developing countries. It was shown that energy conservation policies do not slow down the rates of economic growth of countries with a developing economy, but the impact of renewable energy consumption on the level of imports of energy resources was not studied. Similar studies on the impact of the use of renewable energy sources and fossil fuels on economic indicators in 17 developing countries (between 1980 and 2016) were carried out in the work [
21]. However, in the works [
20,
21], there are no studies on the significant cause-and-effect relationship between energy use and economic growth taking into account the structural features of the formation of economic growth in different countries, although the authors noted that energy policies should be individual for each of the studied countries. Research [
12] indicated a positive impact of renewable and non-renewable energy consumption and fixed capital accumulation on the economic growth of south Asia countries. In particular, growth in renewable energy consumption, non-renewable energy consumption and capital growth combined, contributed to economic growth. The authors found a unidirectional cause-and-effect relationship from economic growth to renewable energy consumption, but the reverse effect was not investigated. Finally, the relationship between the real gross domestic product and the realization of national targets for renewable energy of European Union countries for the period between 2007 and 2017 was considered. The results of this study indicated a significant causal relationship between real GDP per capita and partially renewable energy in final consumption. The results of the study indicated the greater potential of developed countries for renewable energy use. Spatial dependence between the gross domestic product and the consumption of renewable energy for 26 countries of Europe was studied in work [
22,
23].
The study found that spatial dependence leads to changes in the consumption of renewable energy and affects the gross domestic product of neighboring countries. The results of this study indicated that an increase in the consumption of renewable energy in one country can lead to economic growth in neighboring countries.
Some studies indicate the lack of positive impacts of renewable energy on a country’s economic growth. For example, in study [
24] the authors investigated the relationship between renewable energy consumption, economic growth, and human development index in a specific scenario for Pakistan. The authors of the study [
24] claimed that the empirical results showed that the consumption of renewable energy did not improve economic growth in Pakistan.
The authors of the work [
9] used a non-parametric simulation technique to determine the time-varying impact of renewable and non-renewable energy consumption on the economic growth for the countries that are part of the OECD (Organization for Economic Co-operation and Development) and the countries outside the OECD for the period from 1990 to 2015. The researchers found that in OECD countries, non-renewable energy consumption is becoming more important over time, but renewable energy consumption has little effect on economic growth. However, for the non-OECD countries, the consumption of renewable energy had a positive effect on economic growth. In work [
25], the results obtained showed that an increase in the final consumption of energy from renewable energy sources and biofuels in households per capita led to an increase in the percentage of people who had debt for the consumed services.
Most of the research was aimed at analyzing the import dependence of energy resources from economic growth (development). For example, study [
26] analyzed the diversification of energy supply in Europe depending on imports, market concentration and the consumption of renewable energy in the European Union. The authors noted that the dependence on imports significantly reduced energy security. The authors of the study [
27] examined the relationship between the dynamics of energy resource imports depending on energy consumption and economic growth for 23 developed and developing countries. The research established that there is a statistically proven relationship between import growth, energy consumption growth, and economic growth. However, studies [
26,
27] did not consider the mutual influence of economic growth and renewable energy consumption on the dynamics of changes in energy resources imports.
Thus, it can be noted that the level of renewable energy use and economic development of a country, as separate indicators, have an influence on the level of energy resource imports, but the mutual impact of renewable energy sources and gross national product on the growth or decrease of energy imports dependency were not studied. Therefore, our study was aimed at studying the energy security of European countries, taking into account the consumption of renewable energy sources and the economic development of the countries. In particular, it was necessary to study the relationship between energy import dependency, gross domestic product (per capita), and renewable energy source use in 27 countries of the European Union. Additionally, it was found that most studies used linear multifactor dependencies or nonlinear single-factor dependencies. Therefore, this study described the relationship between energy import dependence, gross domestic product (per capita), and renewable energy source using a nonlinear multifactorial relationship, and also investigated its adequacy.
3. Materials and Methods
To establish the influence of renewable energy source and gross domestic product (per capita) factors on energy import dependency a regression analysis of a dataset consisting of indicator values from 2011 to 2021 (297 values for each factor and for each European country) was conducted.
To express the analytical relationship, taking into account the nature of tabular data (
Table 1), a second-order regression equation was chosen [
28]:
where:
E—energy import dependency, %;
G—gross domestic product at market prices, euro per capita;
R—renewable energy sources, %;
bn—equation coefficients.
It should be noted that the second-order regression equation was chosen due to the fact that such an equation most accurately takes into account the mutual relationship between independent parameters in relation to the influence on the dependent parameters [
28]. Further analysis of the coefficients of this equation was conducted to identify statistically insignificant indicators, and to simplify the equation to a pure quadratic form or a linear form, if necessary.
The method of least squares was used to determine the coefficients of the regression equation [
29]. Since function 1 is non-linear, in order to find the coefficients, it was reduced to a linear form by recalculating of the independent coefficients.
The adequacy (significance) of both the equation and coefficients of the equation was assessed using the
F-test and
t-test. For this, a comparison of the actual and tabular (theoretical) values of the
F-criterion (Fisher’s test) and the 1-criterion (Student’s test) was used. The corresponding values were calculated in Microsoft Excel using the Data Analysis package [
30].
The average values (from 2011 to 2021) of the gross domestic product (euro per capita), renewable energy source (%) and energy import dependency (%) for the European countries are given in
Table 1.
Table 1.
Values (from 2011 to 2021) of gross domestic product (euro per capita), renewable energy source (%) and energy import dependency (%) for the European countries.
Table 1.
Values (from 2011 to 2021) of gross domestic product (euro per capita), renewable energy source (%) and energy import dependency (%) for the European countries.
Names of the Countries | Energy Import Dependency, % | Renewable Energy Sources, % | Gross Domestic Product at Market Prices, Euro per Capita |
---|
Mean | Median | Minimum | Maximum | Mean | Median | Minimum | Maximum | Mean | Median | Minimum | Maximum |
---|
Estonia | 9.28 | 10.53 | 1.21 | 20.65 | 29.10 | 29.23 | 25.36 | 38.01 | 17,355 | 16,530 | 12,540 | 23,640 |
Romania | 23.17 | 22.46 | 16.66 | 31.65 | 23.98 | 24.29 | 21.74 | 25.03 | 9166 | 8500 | 6880 | 12,610 |
Sweden | 30.35 | 30.16 | 21.01 | 36.48 | 53.54 | 52.60 | 47.63 | 62.57 | 46,554 | 46,390 | 43,690 | 51,680 |
Czechia | 33.69 | 32.80 | 25.41 | 40.81 | 14.90 | 15.07 | 10.95 | 17.67 | 17,820 | 16,790 | 15,000 | 22,270 |
Poland | 35.65 | 34.02 | 26.25 | 45.24 | 12.79 | 11.61 | 10.34 | 16.10 | 11,861 | 11,180 | 9790 | 15,100 |
Bulgaria | 37.26 | 36.86 | 35.17 | 39.36 | 18.65 | 18.70 | 14.15 | 23.32 | 7259 | 6840 | 5640 | 10,330 |
Finland | 46.20 | 46.16 | 37.99 | 53.91 | 39.28 | 39.23 | 32.53 | 43.94 | 40,235 | 39,580 | 36,750 | 45,220 |
Netherlands | 46.51 | 49.00 | 23.74 | 68.02 | 7.33 | 5.85 | 4.52 | 14.00 | 42,611 | 41,590 | 38,960 | 48,790 |
France | 46.96 | 47.39 | 44.17 | 49.05 | 15.49 | 15.45 | 10.81 | 19.34 | 33,651 | 33,430 | 31,510 | 36,660 |
Latvia | 47.92 | 45.48 | 38.33 | 59.86 | 38.52 | 38.63 | 33.48 | 42.13 | 13,437 | 12,950 | 9550 | 17,850 |
Slovenia | 49.05 | 49.02 | 45.19 | 52.12 | 22.54 | 21.98 | 20.94 | 25.00 | 20,306 | 19,590 | 17,630 | 24,770 |
Croatia | 50.77 | 49.85 | 44.21 | 56.22 | 28.31 | 28.05 | 25.39 | 31.33 | 11,808 | 11,350 | 10,380 | 14,730 |
Hungary | 56.48 | 55.82 | 50.12 | 69.71 | 14.17 | 14.12 | 12.55 | 16.21 | 12,425 | 11,850 | 10,110 | 15,870 |
Slovakia | 61.67 | 61.63 | 52.58 | 69.76 | 12.96 | 11.90 | 10.13 | 17.41 | 15,405 | 14,960 | 13,300 | 18,440 |
Austria | 63.02 | 63.78 | 51.95 | 71.60 | 33.73 | 33.50 | 31.55 | 36.55 | 41,021 | 40,920 | 36,970 | 45,370 |
Germany | 63.16 | 63.48 | 61.22 | 67.06 | 15.60 | 14.90 | 12.47 | 19.17 | 38,179 | 38,070 | 33,550 | 43,290 |
Greece | 70.28 | 71.05 | 61.75 | 81.42 | 16.87 | 15.69 | 11.15 | 21.93 | 16,668 | 16,450 | 15,460 | 18,310 |
Spain | 72.28 | 72.74 | 67.89 | 76.01 | 16.87 | 17.02 | 13.18 | 21.22 | 23,860 | 23,610 | 21,910 | 26,440 |
Portugal | 73.55 | 73.88 | 65.28 | 79.46 | 29.56 | 30.51 | 24.57 | 33.98 | 18,290 | 18,060 | 16,010 | 20,870 |
Lithuania | 75.10 | 74.94 | 71.97 | 78.60 | 24.57 | 25.47 | 19.94 | 28.23 | 14,436 | 13,560 | 10,340 | 19,990 |
Italy | 76.86 | 76.98 | 73.45 | 81.35 | 17.34 | 17.53 | 12.88 | 20.36 | 28,240 | 27,940 | 26,740 | 30,230 |
Belgium | 77.78 | 77.59 | 70.82 | 84.15 | 9.13 | 8.74 | 6.30 | 13.01 | 38,104 | 37,960 | 34,060 | 43,350 |
Ireland | 78.26 | 76.96 | 66.87 | 91.62 | 10.01 | 9.19 | 6.61 | 16.16 | 57,343 | 56,900 | 37,500 | 84,940 |
Cyprus | 94.11 | 93.18 | 89.52 | 97.32 | 11.28 | 9.90 | 6.25 | 18.42 | 23,355 | 23,340 | 20,510 | 26,680 |
Luxembourg | 95.57 | 95.96 | 92.33 | 97.51 | 6.35 | 5.36 | 2.86 | 11.74 | 96,269 | 96,230 | 85,330 | 112,780 |
Malta | 99.54 | 97.66 | 97.06 | 104.14 | 6.43 | 6.21 | 1.85 | 12.15 | 23,024 | 23,130 | 16,630 | 28,920 |
Denmark | 17.43 | 13.08 | −6.32 | 44.86 | 30.95 | 31.68 | 23.39 | 37.02 | 49,838 | 49,420 | 44,500 | 57,520 |
The data characterizing changes in energy import dependence, gross domestic product (per capita) and renewable energy source by year were taken from the Eurostat website. Energy import dependency [
31] shows that a share of a country’s total energy needs is satisfied by imports from other countries and is considered in the study as a dependent parameter (indicator). Gross national product is an indicator of the economic situation in the country and its calculations per capita [
32] allow us to compare economies that differ in absolute size [
33,
34]. In the study, we considered the indicator of renewable energy sources [
35] as a share of the renewable energy consumption in the gross final energy consumption.
4. Results and Discussion
If we analyze the values (from 2011 to 2021) of gross national product (euro per capita) [
29], renewable energy source (%) [
32] and energy import dependency (%) [
28] for the European countries, (the average values of which are listed in
Table 1), Malta had the largest average value of energy import dependency—99.5% (
Figure 1), and Estonia had the lowest—9.3%.
In 2021, energy import dependence in most countries decreased compared to 2011. However, energy import dependence increased in some countries (
Figure 1). If we analyze the change in energy import dependency from 2011 to 2021, the largest decrease was observed for Latvia, at 21.3% (
Figure 2) and the largest increase was observed for Denmark at 38.6%.
In
Figure 1 we can see the groups of the countries in which energy import dependency is less than 50% and more than 50%. Countries such as Cyprus, Luxembourg and Malta belong to a group of countries with energy import dependency of more than 90%. The high values of the indicator for these countries are due to their geographical location and configuration [
26]. It should be noted that during the studied period, no tendency towards a change in energy import dependency was observed in any country. In particular, in 2021, energy import dependence of the countries with a high level of dependence (more than 80%) was lower than in 2011 (Ireland, Cyprus, Luxembourg, Malta). In countries typically presenting with the lowest levels of this indicator (less than 30%), on the contrary, it increased in 2021 (Denmark, Romania, Czechia). If we analyze the dynamics of changes in energy import dependency (
Figure 2), then in 2021 compared to 2011, the largest decreases (by more than 15%) were observed for Latvia—21.5%, Austria—18.0%, and Finland—15.9% (
Figure 2), and the largest increases were observed for The Netherlands—29% and Denmark—38.6%. The gradual increase in energy import dependency of Denmark should be especially noted. Until 2013, Denmark was an exporter of natural gas, but in recent years it has become an importer—Denmark—Renewable Energy Products.
https://www.trade.gov/country-commercial-guides/denmark-renewable-energy-products (accessed on 14 June 2023). It should be also noted that for Bulgaria and Slovenia the value of the indicator remains unchanged.
It should be noted that in 2021, in 11 EU countries, the share of renewable energy consumption in gross final energy consumption was more than 25% (
Figure 3). The largest consumption of renewable energy was in Sweden; the value of the indicator was 62.5%. Achieving this rate of renewable energy consumption became possible thanks to the use of hydropower and biomass [
22]. Sweden had the largest average value of renewable energy sources–53.5% (
Figure 3), and Luxembourg had the lowest–6.4%. It should also be noted that in 2021, 14 EU countries did not reach a renewable energy consumption level of more than 20% (
Figure 3).
During the studied period, there was a tendency to increase the renewable energy sources in European countries (
Figure 4). Sweden had the largest increase in renewable energy sources from 2011 to 2021–14.9% (
Figure 4), and Hungary had the lowest–0.1%. All the European countries increased shares of renewable energy sources in accordance with Directive (EU) 2018/2001 of the European Parliament and of the Council on the promotion of the use of energy from renewable sources–
https://eur-lex.europa.eu/legal-content/EN/TXT/?uri=celex%3A32018L2001 (accessed on 14 June 2023). Most countries increased this indicator by 5–12%. In particular, the countries with a low level of use of the renewable energy sources—Cyprus, Greece, Belgium, Ireland, Luxembourg, Malta, and The Netherlands—increased their use of renewable energy by 8%. However, such an increase in the use of renewable energy is not sufficient.
Despite the consequences of the global financial and economic crisis in 2008 and 2020 caused by COVID-19, there was a general tendency to increase gross domestic product (euro per capita) in EU countries. Luxembourg had the largest average value of gross domestic product–96269 euros per capita (
Figure 5), and Bulgaria had the lowest–7259 euros per capita.
From 2011 to 2021 gross domestic product in Ireland increased by 47,440 euros per capita (
Figure 6), and during the same period gross domestic product decreased only in one country–Greece, by 1240 euros per capita.
As follows from the analysis of the above graphs, the values of energy import dependency, renewable energy sources and gross domestic product vary within fairly wide limits. In addition, these changes are not the same for specific EU countries. The influence of renewable energy sources and gross domestic product on energy import dependency is not obvious.
Our regression analysis of data on European countries for 10 years (from 2011 to 2021) allowed us to obtain the non-linear (curvilinear) influence of gross domestic product and renewable energy sources on energy import dependency. This relationship was expressed using the mathematical dependencies in the form of a second-order regression Equation (2):
The equation was adequate according to Fisher’s test with a reliability level of 0.95 (
F = 25.263, Significance
F = 0.0018) and had a coefficient of determination
R2 = 0.603. The characteristics necessary for estimating the coefficients of the equation are given in
Table 2.
According to
t-criterion, the coefficient of equation
b4 (
Table 1) for
G2 was not statistically significant, so Equation (2) required correction by excluding this coefficient.
After correction, the mathematical dependencies of the influence of gross domestic product and renewable energy sources on energy import dependency took such a form:
Equation (3) is adequate according to the Fisher’s test with a reliability level 0.95 (
F = 30.585, Significance
F = 0.0017) and has a determination coefficient
R2 = 0.614. The characteristics necessary for estimating the coefficients of the equation are listed in
Table 3. Moreover, the dependencies are adequate for changes in gross domestic product at market prices ranging from 5 to 55,000 euro per capita and changes in renewable energy sources ranging from 5 to 55%.
The analysis of the mathematical dependencies (3) made it possible to construct (obtain) a graphic visualization of the influence of gross domestic product and renewable energy source on the values of energy import dependency (
Figure 7).
According to the first scenario (renewable energy sources 20%), with an increase in gross domestic product from 5000 to 5500 euros per capita, an increase in import dependency was observed by 1.15 times (from 51.3% to 59.2%) according to linear dependence (
Figure 8). According to the second scenario (renewable energy sources 35%), there was a slight decrease in energy import dependency by 1.05 times (from 44.1% to 42.2%). According to the third scenario (renewable energy sources 45%), with an increase in gross domestic product, a sharper decrease in energy import dependency by 1.24 times (from 43.3% to 35.0%) was observed. The analysis of Equation (3) for extremes allowed us to conclude that when using energy from renewable sources at a level of 32%, the economic development of the country does not require an increase in energy import dependency, and at higher values of energy use from renewable sources, energy import dependency may generally decrease.
We also analyzed scenarios concerning the impact of increasing renewable energy sources on energy import dependency at different values of the domestic product level. In
Figure 9, the impact of increasing renewable energy on energy import dependency for three values of gross domestic product—10,000, 30,000 and 50,000 euros per capita, is shown.
Analysis of the graphs made it possible to state that countries with a low value of gross domestic product (up to 10,000 euros per capita), when increasing the use of renewable energy sources from 5% to 40%, reduce their energy import dependency by 1.58 times (from 67.9% to 42.8%). A further increase in renewable energy use can, on the contrary, lead to an increase in energy import dependency (44.6% with renewable energy sources 55%). This may occur as a result of a significant and disproportional increase in the costs of renewable energy, which will need to be compensated accordingly [
36].
For countries with a level of gross domestic product up to 30,000 euros per capita, when renewable energy use increases from 5% to 55%, the energy import dependency decreases by 1.95 times (from 75.0% to 38.5%), and a further increase in renewable energy use will lead to neither a decrease nor to an increase in energy import dependency.
For countries with a level of gross domestic product up to 50,000 euros per capita, when the use of renewable energy increases from 5% to 40%, the energy import dependency decreases by 2.51 times (from 82.1% to 32.6%).
Therefore, it is possible to recommend the use of the renewable energy sources a level of 40% for the countries with gross domestic product of up to 10,000 euros per capita. For the countries with a gross domestic product up to 30,000 euros per capita the use of renewable energy sources is recommended at the level of 50%, and for the countries with a gross domestic product of more than 30,000 euros per capita, renewable energy use is recommended at the level of more than 55%.
A high level of renewable energy use allows a country to increase the gross domestic product without a significant increase in energy import dependency [
37,
38], and at a level of renewable energy use of more than 32%, the increase in gross domestic product does not actually lead to an increase in energy import dependency. Increasing the use of renewable energy sources to only 40% of the total consumption of energy resources in a specific country, in particular, and in the European Union, in general, will ensure an increase in energy security and an increase in the level of energy independence.
This conclusion correlates with the conclusion of the study [
39], which also states that achieving a high share of consumption of renewable energy sources will contribute to energy security with proper economic development. The conclusions are also confirmed by research [
40], which states that achieving the goal of 45% of renewable energy in energy, industry, buildings, and transport by 2030 will reduce the dependence of EU countries on imports of energy resources, providing further economic development.
In addition, an increase in the level of renewable energy use will contribute towards stabilization of the increase in carbon emissions in the process of expanding economic activity [
41]. One of the important strategies for the EU is to reduce final energy consumption, and research [
22] states that this can be achieved by increasing energy efficiency and increasing the share of renewable energy sources used in final energy consumption. The above-mentioned factors also lead to a decrease in dependence on energy imports, which is consistent with our research. That is why our research, based on Eurostat data, allows us to make a conclusion about the overall positive impact of the use of renewable energy sources on the economic development of the countries of the European Union, taking into account the level of energy import dependency.
5. Conclusions
A regression analysis of data on European countries for 10 years (from 2011 to 2021) was used to obtain the non-linear (curvilinear) influence of gross domestic product and renewable energy sources on energy import dependency. This influence was expressed using mathematical dependencies in the form of a second-order regression equation. The mathematical dependencies that we obtained made it possible to simulate three scenarios of the impact of an increase in gross domestic product (per capita) on energy import dependency. According to the first scenario, (renewable energy sources 20%), with an increase in gross domestic product from 5000 to 55,000 euros per capita, the increase in energy import dependency was 1.15 times higher, increasing from 51.3% to 59.2% according to the linear dependence. According to the second scenario, (renewable energy sources 35%) a slight decrease in energy import dependence of 1.05 times (from 44.1% to 42,2%) was noted. According to the third scenario, (renewable energy sources 45%) with an increase in gross domestic product, a sharper decrease, by 1.24 times, in energy import dependency (from 43.4%to 35.0%) was observed.
The analysis of the dependencies for extremes made it possible to conclude that, with the use of energy from renewable sources at the level of 32%, the economic development of a country does not require an increase in energy import dependency, and with higher values in the level energy use from renewable sources in the process of economic development, an increase in energy import dependency may generally occur.
We also analyzed three scenarios related to the impact of an increase in renewable energy sources on energy import dependency at different levels of gross domestic product. The countries with a gross domestic product (up to 10,000 euros per capita) with an increase in the use of renewable energy sources from 5% to 40% reduced their energy import dependency by1.58 times (from 67.9% to 42.8%). Further increases in the use of renewable energy sources may lead to an increase in energy import dependency (44.6% with renewable energy sources—55%). This may occur as a result of a significant and disproportional increase in the costs of the renewable energy, which will need to be compensated accordingly. For the countries with a gross domestic product at a level of up to 30,000 euros per capita, an increase in the value of gross domestic product (up to 10,000 euros per capita) from 5% to 40%, energy import dependency decreased by 1.95 times (from 75,0% to 38.5%); a further increase in the use of renewable energy sources does not lead to either a decrease or an increase in energy import dependency. For the countries with a gross domestic product at a level of more than 50,000 euros per capita, when the use of energy sources increased from 5% to 55%, energy import dependency decreased by 2.51 times (from 82.1% to 32.6%).