Statistical Analysis of the Level of Development of Renewable Energy Sources in the Countries of the European Union
Abstract
:1. Introduction
- -
- conducting a literature review on renewable energy in EU documents,
- -
- collecting statistical data on the level of energy use for the period 2011–2020 for the EU countries and carrying out statistical verification,
- -
- determining the value of a synthetic measure and constructing rankings of EU countries for the period 2011–2020,
- -
- classifying EU countries into groups with a similar level of achievement of the studied phenomenon.
2. Renewable Energy in EU Documents
3. Materials and Methods
3.1. Data and Variables
- Calculation of the R matrix of linear correlation coefficients in the form
- Determination of the inverse matrix of the matrix,
- Eliminating from the set of variables those for which the condition is met:
3.2. Method
- Representation of the variable values Xj (j = 1, 2, …, m) for individual objects Oi (i = 1, 2, …, n) in the form of a matrix of observations for the subsequent years under study:
- Making the variables comparable by normalisation using the formula:
- Calculating the synthetic measure values as an arithmetical mean of normalised variable values, using the formula:
- Classifying the EU-27 countries with similar levels, according to the following formulas [35]:
4. Results
4.1. Descriptive Statistics
4.2. Rankings
- in 2011. from 0.0309 (Malta) to 0.5505 (Sweden).
- in 2012. from 0.0474 (Malta) to 0.5814 (Sweden).
- in 2013. from 0.0619 (Malta) to 0.5860 (Sweden).
- in 2014. from 0.0806 (Netherlands) to 0.6338 (Sweden).
- in 2015. from 0.0891 (Netherlands) to 0.6588 (Sweden).
- in 2016. from 0.0979 (Poland) to 0.6922 (Sweden).
- in 2017. from 0.0984 (Poland) to 0.6939 (Sweden).
- in 2018. from 0.1272 (Slovakia) to 0.7228 (Sweden).
- in 2019. from 0.1421 (Poland) to 0.7508 (Sweden).
- in 2020. from 0.1616 (Poland) to 0.7665 (Sweden).
4.3. Classification
5. Discussion and Conclusions
- Between 2011 and 2020, most EU countries experienced positive changes in the use of renewable energy, as shown by the increase in the synthetic measure value. Hypothesis H1 was therefore confirmed.
- High levels of renewable energy use were displayed by the Scandinavian countries Sweden, Finland, and Denmark. However, most EU countries had a medium-low level of use. Hypothesis H2 was positively verified.
- In 2020, compared to 2011, there were no significant changes in the composition of the groups of EU countries with similar levels of renewable energy use, with only slight shifts between groups. Hypothesis H3 was therefore not confirmed.
- Energy is the basis not only of every human activity but also of every production process, hence its rational use becomes important.
- Replacing the use of conventional fossil fuels with renewable raw materials has a positive impact on the environment and is helping to slow down the climate crisis. This is an important issue now and for future generations.
- Increasing the share of renewable energy in the total energy balances of Member States offers an opportunity to strengthen the integrity and independence of the EU as a region.
- It is also important to raise citizens’ awareness of renewable energy and use various forms to support its usage.
- The EU energy policy should be sustainable in order to ensure energy security for present and future generations.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Indicator | Maximum Value | Minimum Value | Mean | Coefficient of Variation (CV) | Coefficient of Asymmetry (CA) | ||
---|---|---|---|---|---|---|---|
2011 | |||||||
X1 | 47.63 | Sweden | 1.85 | Malta | 16.86 | 0.64 | 0.94 |
X2 | 71.07 | Denmark | 0.00 | Malta, Slovenia | 15.06 | 1.12 | 1.79 |
X3 | 221.61 | Luxembourg | 0.00 | Cyprus, Malta | 44.69 | 1.22 | 2.04 |
X4 | 32.31 | Germany | 0.00 | Estonia, Croatia, Latvia, Lithuania | 5.26 | 1.55 | 1.97 |
X5 | 36.08 | Sweden | 0.00 | Greece, Cyprus, Luxembourg, Malta, | 5.39 | 1.77 | 2.32 |
X6 | 58.52 | Sweden | 3.69 | Netherlands | 23.13 | 0.61 | 0.66 |
X7 | 11.94 | Sweden | 0.00 | Cyprus | 3.62 | 0.82 | 1.04 |
2020 | |||||||
X1 | 60.12 | Sweden | 10.71 | Malta | 24.36 | 0.46 | 1.41 |
X2 | 107.50 | Denmark | 0.02 | Malta | 32.39 | 0.91 | 1.15 |
X3 | 212.51 | Luxembourg | 0.00 | Cyprus, Malta | 45.97 | 1.15 | 1.85 |
X4 | 64.59 | Germany | 0.27 | Latvia | 21.51 | 0.77 | 1.19 |
X5 | 44.20 | Finland | 0.00 | Cyprus, Malta | 6.35 | 1.61 | 2.59 |
X6 | 66.38 | Sweden | 6.26 | Ireland | 30.92 | 0.54 | 0.51 |
X7 | 31.85 | Sweden | 5.34 | Greece | 10.38 | 0.45 | 3.59 |
Variable | X1 | X2 | X3 | X4 | X5 | X6 | X7 |
---|---|---|---|---|---|---|---|
X1 | 1.0000 | 0.3784 | 0.4530 | −0.4714 | 0.6921 | 0.8518 | 0.5198 |
X2 | 0.3784 | 1.0000 | 0.0816 | 0.1319 | 0.4782 | 0.1487 | 0.4397 |
X3 | 0.4530 | 0.0816 | 1.0000 | −0.1984 | 0.2408 | 0.2210 | 0.4328 |
X4 | −0.4714 | 0.1319 | −0.1984 | 1.0000 | −0.2244 | −0.5277 | 0.0440 |
X5 | 0.6921 | 0.4782 | 0.2408 | −0.2244 | 1.0000 | 0.6375 | 0.5515 |
X6 | 0.8518 | 0.1487 | 0.2210 | −0.5277 | 0.6375 | 1.0000 | 0.2794 |
X7 | 0.5198 | 0.4397 | 0.4328 | 0.0440 | 0.5515 | 0.2794 | 1.0000 |
Variable | X1 | X2 | X3 | X4 | X5 | X6 | X7 |
---|---|---|---|---|---|---|---|
X1 | 8.1360 | −1.6590 | −1.5914 | 0.9023 | −0.0604 | −5.4563 | −1.2931 |
X2 | −1.6590 | 1.8276 | 0.4439 | −0.3989 | −0.7054 | 1.3084 | −0.0924 |
X3 | −1.5914 | 0.4439 | 1.6353 | 0.1059 | 0.0806 | 1.0495 | −0.4180 |
X4 | 0.9023 | −0.3989 | 0.1059 | 1.6719 | 0.0108 | 0.2816 | −0.4977 |
X5 | −0.0604 | −0.7054 | 0.0806 | 0.0108 | 2.6279 | −1.3143 | −0.7758 |
X6 | −5.4563 | 1.3084 | 1.0495 | 0.2816 | −1.3143 | 5.9701 | 0.8514 |
X7 | −1.2931 | −0.0924 | −0.4180 | −0.4977 | −0.7758 | 0.8514 | 2.1056 |
Country | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | Change MSi 2020–MSi 2011 |
---|---|---|---|---|---|---|---|---|---|---|---|
Austria | 0.3593 | 0.3536 | 0.3614 | 0.3783 | 0.3879 | 0.3920 | 0.3903 | 0.4033 | 0.4100 | 0.4279 | 0.0686 |
Belgium | 0.1203 | 0.1393 | 0.1511 | 0.1571 | 0.1543 | 0.1708 | 0.1844 | 0.1972 | 0.2178 | 0.2717 | 0.1514 |
Bulgaria | 0.1218 | 0.1600 | 0.1971 | 0.1937 | 0.1992 | 0.2059 | 0.2079 | 0.2249 | 0.2320 | 0.2475 | 0.1257 |
Croatia | 0.1648 | 0.1764 | 0.1926 | 0.1929 | 0.2049 | 0.1987 | 0.1987 | 0.2103 | 0.2304 | 0.2474 | 0.0826 |
Cyprus | 0.0718 | 0.0811 | 0.0957 | 0.1113 | 0.1221 | 0.1260 | 0.1374 | 0.1723 | 0.1777 | 0.2269 | 0.1551 |
Czech Republic | 0.1196 | 0.1519 | 0.1592 | 0.1705 | 0.1698 | 0.1691 | 0.1700 | 0.1722 | 0.1869 | 0.1995 | 0.0799 |
Denmark | 0.2820 | 0.3354 | 0.3516 | 0.3711 | 0.3861 | 0.4022 | 0.4491 | 0.4686 | 0.4820 | 0.4989 | 0.2169 |
Estonia | 0.2066 | 0.2171 | 0.2115 | 0.2239 | 0.2451 | 0.2524 | 0.2552 | 0.2750 | 0.3078 | 0.3625 | 0.1559 |
Finland | 0.3203 | 0.3292 | 0.3898 | 0.4618 | 0.4756 | 0.4205 | 0.4973 | 0.4832 | 0.4983 | 0.5376 | 0.2173 |
France | 0.1018 | 0.1458 | 0.1549 | 0.1641 | 0.1735 | 0.1828 | 0.1932 | 0.2039 | 0.2165 | 0.2288 | 0.1270 |
Germany | 0.2090 | 0.2433 | 0.2549 | 0.2657 | 0.2780 | 0.2885 | 0.3041 | 0.3246 | 0.3380 | 0.3687 | 0.1597 |
Greece | 0.1118 | 0.1486 | 0.1826 | 0.1899 | 0.1881 | 0.1912 | 0.2163 | 0.2275 | 0.2439 | 0.2753 | 0.1635 |
Hungary | 0.1136 | 0.1186 | 0.1228 | 0.1248 | 0.1258 | 0.1257 | 0.1256 | 0.1290 | 0.1453 | 0.1794 | 0.0658 |
Ireland | 0.0807 | 0.0901 | 0.1019 | 0.1182 | 0.1269 | 0.1330 | 0.1612 | 0.1700 | 0.1921 | 0.2128 | 0.1321 |
Italy | 0.1611 | 0.1965 | 0.2050 | 0.2059 | 0.2167 | 0.2222 | 0.2254 | 0.2308 | 0.2441 | 0.2615 | 0.1004 |
Latvia | 0.2373 | 0.2532 | 0.2685 | 0.2804 | 0.2758 | 0.2721 | 0.2855 | 0.2981 | 0.3103 | 0.3220 | 0.0847 |
Lithuania | 0.1555 | 0.1746 | 0.1880 | 0.1978 | 0.2235 | 0.2234 | 0.2293 | 0.2291 | 0.2350 | 0.2566 | 0.1011 |
Luxembourg | 0.1754 | 0.1924 | 0.2065 | 0.2424 | 0.2474 | 0.2559 | 0.2642 | 0.2713 | 0.2921 | 0.3428 | 0.1674 |
Malta | 0.0309 | 0.0474 | 0.0619 | 0.0820 | 0.0916 | 0.1103 | 0.1331 | 0.1558 | 0.1705 | 0.1941 | 0.1632 |
Netherlands | 0.0524 | 0.0570 | 0.0660 | 0.0806 | 0.0891 | 0.1001 | 0.1171 | 0.1594 | 0.2121 | 0.2912 | 0.2388 |
Poland | 0.0850 | 0.0904 | 0.0981 | 0.0989 | 0.1031 | 0.0979 | 0.0984 | 0.1317 | 0.1421 | 0.1616 | 0.0766 |
Portugal | 0.2333 | 0.2337 | 0.2438 | 0.2852 | 0.3091 | 0.3233 | 0.3257 | 0.3344 | 0.3450 | 0.3587 | 0.1254 |
Romania | 0.1464 | 0.1561 | 0.1766 | 0.1867 | 0.1888 | 0.1949 | 0.1950 | 0.1905 | 0.1995 | 0.2022 | 0.0558 |
Slovakia | 0.1175 | 0.1166 | 0.1177 | 0.1301 | 0.1399 | 0.1321 | 0.1266 | 0.1272 | 0.1702 | 0.1726 | 0.0551 |
Slovenia | 0.1694 | 0.1861 | 0.2029 | 0.1999 | 0.2030 | 0.1960 | 0.2009 | 0.2077 | 0.2233 | 0.2532 | 0.0838 |
Spain | 0.1679 | 0.1812 | 0.1873 | 0.1939 | 0.1993 | 0.2176 | 0.2215 | 0.2269 | 0.2594 | 0.2879 | 0.1200 |
Sweden | 0.5505 | 0.5814 | 0.5860 | 0.6338 | 0.6588 | 0.6922 | 0.6939 | 0.7228 | 0.7508 | 0.7665 | 0.2160 |
Country | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | Change of Position 2011–2020 |
---|---|---|---|---|---|---|---|---|---|---|---|
Austria | 2 | 2 | 3 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | −2 |
Belgium | 17 | 20 | 20 | 20 | 20 | 19 | 19 | 18 | 17 | 13 | 4 |
Bulgaria | 16 | 15 | 12 | 14 | 15 | 13 | 14 | 14 | 14 | 17 | −1 |
Croatia | 12 | 13 | 13 | 15 | 12 | 14 | 16 | 15 | 15 | 18 | −6 |
Cyprus | 25 | 25 | 25 | 24 | 24 | 23 | 22 | 20 | 23 | 20 | 5 |
Czech Republic | 18 | 17 | 18 | 18 | 19 | 20 | 20 | 21 | 22 | 23 | −5 |
Denmark | 4 | 3 | 4 | 4 | 4 | 3 | 3 | 3 | 3 | 3 | 1 |
Estonia | 8 | 8 | 8 | 9 | 9 | 9 | 9 | 8 | 8 | 6 | 2 |
Finland | 3 | 4 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 |
France | 22 | 19 | 19 | 19 | 18 | 18 | 18 | 17 | 18 | 19 | 3 |
Germany | 7 | 6 | 6 | 7 | 6 | 6 | 6 | 6 | 6 | 5 | 2 |
Greece | 21 | 18 | 16 | 16 | 17 | 17 | 13 | 12 | 12 | 12 | 9 |
Hungary | 20 | 21 | 21 | 22 | 23 | 24 | 25 | 26 | 26 | 25 | −5 |
Ireland | 24 | 24 | 23 | 23 | 22 | 21 | 21 | 22 | 21 | 21 | 3 |
Italy | 13 | 9 | 10 | 10 | 11 | 11 | 11 | 10 | 11 | 14 | −1 |
Latvia | 5 | 5 | 5 | 6 | 7 | 7 | 7 | 7 | 7 | 9 | −4 |
Lithuania | 14 | 14 | 14 | 12 | 10 | 10 | 10 | 11 | 13 | 15 | −1 |
Luxembourg | 9 | 10 | 9 | 8 | 8 | 8 | 8 | 9 | 9 | 8 | 1 |
Malta | 27 | 27 | 27 | 26 | 26 | 25 | 23 | 24 | 24 | 24 | 3 |
Netherlands | 26 | 26 | 26 | 27 | 27 | 26 | 26 | 23 | 19 | 10 | 16 |
Poland | 23 | 23 | 24 | 25 | 25 | 27 | 27 | 25 | 27 | 27 | −4 |
Portugal | 6 | 7 | 7 | 5 | 5 | 5 | 5 | 5 | 5 | 7 | −1 |
Romania | 15 | 16 | 17 | 17 | 16 | 16 | 17 | 19 | 20 | 22 | −7 |
Slovakia | 19 | 22 | 22 | 21 | 21 | 22 | 24 | 27 | 25 | 26 | −7 |
Slovenia | 10 | 11 | 11 | 11 | 13 | 15 | 15 | 16 | 16 | 16 | −6 |
Spain | 11 | 12 | 15 | 13 | 14 | 12 | 12 | 13 | 10 | 11 | 0 |
Sweden | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
Group | 2011 | 2020 |
---|---|---|
Group 1: high level | Sweden. Austria. Finland. Denmark | Sweden. Finland. Denmark |
Group 2: medium-high level | Latvia. Portugal. Germany. Estonia. Luxembourg | Austria. Germany. Estonia. Portugal. Luxembourg. Latvia |
Group 3: medium-low level | Slovenia. Spain. Croatia. Italy. Lithuania. Romania. Bulgaria. Belgium. Czech Republic. Slovakia. Hungary. Greece. France. Poland. Ireland. Cyprus | The Netherlands. Spain. Greece. Belgium. Italy. Lithuania. Slovenia. Bulgaria. Croatia. France. Cyprus. Ireland. Romania. Czech Republic. Malta. Hungary. Slovakia |
Group 4: low level | The Netherlands. Malta | Poland |
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Stec, M.; Grzebyk, M. Statistical Analysis of the Level of Development of Renewable Energy Sources in the Countries of the European Union. Energies 2022, 15, 8278. https://doi.org/10.3390/en15218278
Stec M, Grzebyk M. Statistical Analysis of the Level of Development of Renewable Energy Sources in the Countries of the European Union. Energies. 2022; 15(21):8278. https://doi.org/10.3390/en15218278
Chicago/Turabian StyleStec, Małgorzata, and Mariola Grzebyk. 2022. "Statistical Analysis of the Level of Development of Renewable Energy Sources in the Countries of the European Union" Energies 15, no. 21: 8278. https://doi.org/10.3390/en15218278
APA StyleStec, M., & Grzebyk, M. (2022). Statistical Analysis of the Level of Development of Renewable Energy Sources in the Countries of the European Union. Energies, 15(21), 8278. https://doi.org/10.3390/en15218278