Regression analysis preliminaries
All regressions suffer from heteroskedasticity and positive autocorrelation, determined by means of the Breusch-Pagan test (with and without normality assumption) and the Durbin-Watson test.Footnote 5 Thus, robust Newey-West standard errors are used to account for the presence of heteroskedasticity and positive autocorrelation. The variance inflation factors (VIFs) for the continuous explanatory variables range from 1.64 to 24.35, with the prices of CO2, gas and coal being most affected (in descending order). Although most VIFs are not extremely high, it is important to keep in mind that the presence of multicollinearity may reduce the significance of the affected variables’ regression coefficients. Note that all dependent variables are stationary times series, determined with the Augmented Dickey-Fuller test.
Regression analysis results
Table 3 displays the results of all five regressions which will be discussed in categories below. The evaluation follows the different categories, namely carbon emissions, conventional power generation and exports.
Table 3 Results from the regression analyses
1) CO2 emissions: The variance in hourly CO2 emissions is captured well by the regression, with an adjusted R2 over 90%. As expected, higher amounts of renewable energy feed-in reduce CO2 emissions. This effect is larger for wind power than for PV generation, confirming hypotheses H1.1 and H1.2., which is mainly due to the lower mitigation of coal by solar and higher exports. The latter aspect confirms hypotheses H1.3. Overall, this means that wind onshore has 50% higher contribution to climate protection per MWh feed-in. As opposed to RES feed-in, higher demand increases emissions in the same magnitude that wind energy reduces emissions. The gas price is a large driver of CO2 emissions: An increase of 1 EUR is associated with 392 t more CO2 per hour, on average, which goes along with hypothesis H2.1. Increases in the coal price are associated with lower CO2 emissions as gas becomes more competitive and likely replaces hard coal-based power generation, thus affirming hypothesis H2.2.Footnote 6 Lastly, the CO2 price has a negative impact on emissions, confirming hypothesis H3. For each 1 EUR increase, on average, CO2 emissions are reduced by 112.5 t per hour.
The calculated carbon mitigation of wind is higher in Germany than in Ireland (about \(0.460\,\mathrm{t}_{\text{CO}_{2}}\) per MWh that, for instance, Oliveira et al (2019), Di Cosmo and Valeri (2014) and Wheatley (2013) account for). For Germany, Abrell et al (2018) find a lower carbon mitigation effect of wind and solar than this work (wind: 0.233 vs. \(0.643\,\mathrm{t}_{\text{CO}_{2}}\) per MWh and solar: 0.175 vs. \(0.472\,\mathrm{t}_{\text{CO}_{2}}\) per MWh), which may be due to the fact that their model only explains 70 to 80% of the conventional displacement. This means that 1 MWh wind displaces only 0.8 MWh of conventional generation. Therefore, the estimated avoided emissions are lower. In contrast, this analysis explains 90%, 97% and 94%Footnote 7 of the displacement, resulting from solar, wind onshore and offshore, respectively. These figures include the exported share of renewable energy.
2)–4) Conventional power generation: The variation in generation of conventional power plants is captured to different degrees. The behavior of market-driven fuel types, hard coal and gas, is explained well, with adjusted R2-values over 80%. The magnitude and significance of the summer month dummy variables also attest to the larger seasonal changes in output based on these two fuels. For lignite-based generation, the explanatory power drops to 74%. This decline attests to the more inflexible operation of base-load units, whose output is seldom affected by market situations and renewable energy feed-in due to low variable costs.Footnote 8 Furthermore, the short-term flexibility is impeded by technical constraints and obligations, such as heat production.
Generally, renewable energy feed-in replaces conventional power generation but with different effects. Solar predominantly replaces hard coal power plants. It has smaller but substantial and significant effects on gas and lignite-fired units as well. This partially confirms hypothesis H1.1, but the effect on gas-fired power plants was expected to be higher. Wind offshore mostly replaces hard coal-based generation. The effects on the remaining technologies are small and partially insignificant. Wind onshore replaces both, lignite and hard coal power plants as well as gas, but to a smaller extent, which attests to hypothesis H1.2.
Rising gas prices make all other technologies more attractive, expressed by positive coefficients for lignite and hard coal and a negative coefficient for gas-based power generation. The same logic applies to coal prices (cf. hypothesis H2.1 and H2.2). The CO2 price positively affects the generation from gas-fired power plants and reduces generation from lignite power plants, affirming hypothesis H3. A surprising and somewhat counter-intuitive result is the insubstantial and insignificant effect of the carbon price on generation from hard coal power plants. The a priori expectation was a larger negative and significant effect, similar to lignite.
5) Export balance: Renewable energy feed-in leads to higher export balances, on average. The coefficients 0.319, 0.426 and 0.210 for solar, wind offshore and wind onshore can be interpreted as the share of renewable energy feed-in that is exported, on average. The effect is larger for solar than for wind onshore, along the lines of hypothesis H1.3. The effect is even higher for wind offshore. This goes against the stated hypothesis if wind onshore and offshore are taken as a combined technology. However, generation from offshore wind turbines fundamentally differs from wind onshore due to higher full load hours as well as less intermittent and more centralized feed-in of energy. This likely affects how much of energy from wind offshore turbines can be integrated in Germany’s energy system.
The first regression helps to identify measures for carbon emissions reduction of ‘‘equal effects’’. On average, a 1 EUR increase in CO2 price has the same effect as ca. 238 MWh of solar energy, ca. 262 MWh of wind offshore energy and ca. 175 MWh of wind onshore energy. With capacity factors of 0.110, 0.376 and 0.217 in 2019Footnote 9, the necessary additional installed capacities to achieve these average effects would be 2,167 MW, 696 MW and 806 MW, respectively. These ‘‘equal effects’’, however, have different monetary implications, i.e. there are different abatement costs associated with the discussed measures. For instance, the above-mentioned 175 MWh of onshore wind energy replaces \(112.5\,\mathrm{t}_{\text{CO}_{2}}\), equal to the average effect of a 1 EUR increase in the carbon price. Assuming levelized cost of energy of 60 EUR/MWh for wind energy (Fraunhofer ISE
2018), the abatement costs come out to be over 90 EUR per \(\mathrm{t}_{\text{CO}_{2}}\), as roughly 1.5 MWh of additional wind energy are needed to replace reduce emissions by \(1\,\mathrm{t}_{\text{CO}_{2}}\). Notably, current CO2 prices are far from these values, which means that a carbon price is the advantageous measure. It is also important to consider that renewable energy generation is associated with costs, possibly subsidized by the government. Carbon prices, on the other hand, can be a source of revenue for governments.
Computation of carbon emissions reduction effects
Figure 1 depicts the composition of CO2 emissions reductions, from 2016 to 2019 as well as from 2018 to 2019. Complementary, Table 4 lists all annual mean values of the explanatory factors. The effects on CO2 emissions reductions are computed by multiplying the time series of the respective year and variable with the corresponding coefficient of the first regression and subtracting the sum of the second year from the sum of the base year.Footnote 10
Table 4 Annual mean values of continuous explanatory variables It is important to note that the depicted total annual emissions are exceeded by total emissions stated in UBA (2020a). The reasons for this are threefold. First, electricity generation from oil-fired and non-renewable waste power plants is not included in this analysis due to missing data. Second, the assumption of a static efficiency for each fuel type does not reflect inefficiencies during partial load operation of power plants. Third, the used dataset has known flaws (cf. Section 1).
It becomes evident that the CO2 emissions are reduced between 2016 and 2019 largely due to an increase in wind onshore generation (from below 8 GW, on average, in 2016 to 11.6 GW in 2019) as well as a substantial increase in CO2 price (from \(5.37\,\mathrm{EUR}/\mathrm{t}_{\text{CO}_{2}}\) to \(24.86\,\mathrm{EUR}/\mathrm{t}_{\text{CO}_{2}}\)). A reduced load also contributed substantially to the emissions reduction. The drop from 64.5 GW to 62.7 GW average load is relatively small compared to the substantial avoided emissions of 11 Mt, attesting to the influence of this factor. The gas price is almost the same in both years. Therefore, its slight increase only has a small positive effect on CO2 emissions. The coal price plays a minute role due to a virtually equal price in both years.
The CO2 emissions reductions from 2018 to 2019 are mostly driven by a substantial drop in gas prices, from an average of 22.34 EUR/MWh in 2018 to 15.08 EUR/MWh in 2019. The decline in gas prices causes gas-fired power plants to push CO2-intensive coal-fired power plants out of the merit order, which reduces the overall emissions. This effect is not sustainable since an increase in gas prices would reverse the CO2 savings. Therefore, it is necessary to phase-out the carbon-intensive coal-fired power generation, although it leads to higher compensations for the industry (Breitenstein et al 2020). Renewable energy feed-in has a relatively smaller effect due to similar generation levels in both years. The CO2 price is still one of the larger factors due to an increase between both years. The substantial drop in coal price from 2018 to 2019 has a relatively small positive effect on emissions.
Finally, there are limits to this analysis. Utilizing regression analysis and the computation of average values provides reduction effects that are valid in the current system but may not extend to changing systems. Therefore, the effects may not be static. For instance, the emissions reduction effect of the carbon price may increase or decrease with a changing system, e.g. more renewable expansion and reduced load. This means that the carbon price may become a more or less effective policy tool. Another limitation of this analysis lies in the temporal scope. Future research could include more years, e.g. re-conducting the analysis, once 2020 data is available. Also, an expansion of the method could help to identify more emissions reduction effects, i.e. a different specification of the regression model, which could include interaction terms, e.g. making emissions reduction effects dependent on the given situation of load and renewable energy feed-in. An alternative approach could be the use of multivariate regressions to simultaneously model carbon emissions and generation from conventional power plants to depict the mitigation effects more completely.