Greenhouse Gas Abatement Potentials and Economics of Selected Biochemicals in Germany

: In this paper, biochemicals with the potential to substitute fossil reference chemicals in Germany were identiﬁed using technological readiness and substitution potential criteria. Their greenhouse gas (GHG) emissions were quantiﬁed by using life cycle assessments (LCA) and their economic viabilities were determined by comparing their minimum selling prices with fossil references’ market prices. A bottom up mathematical optimization model, BioENergy OPTimization (BENOPT) was used to investigate the GHG abatement potential and the corresponding abatement costs for the biochemicals up to 2050. BENOPT determines the optimal biomass allocation pathways based on maximizing GHG abatement under resource, capacity, and demand constraints. The identiﬁed biochemicals were bioethylene, succinic acid, polylactic acid (PLA), and polyhydroxyalkanoates (PHA). Results show that only succinic acid is economically competitive. Bioethylene which is the least performing in terms of economics breaks even at a carbon price of 420 euros per ton carbon dioxide equivalent ( € / tCO 2 eq). With full tax waivers, a carbon price of 134 € / tCO 2 eq is necessary. This would result in positive margins for PHA and PLA of 12% and 16%, respectively. From the available agricultural land, modeling results show high sensitivity to assumptions of carbon dioxide (CO 2 ) sequestration in biochemicals and integrated biochemicals production. GHG abatement for scenarios where these assumptions were disregarded and where they were collectively taken into account increased by 370% resulting in a 75% reduction in the corresponding GHG abatement costs.


Introduction
The use of renewable resources in replacing fossil counterparts has been promoted as part of efforts to mitigate the impact of anthropogenic greenhouse gas (GHG) emissions on the environment. In the context of the European Union, this has led to the formulation of directives such as the renewable energy directives (REDs) which sets out targets for member states [1]. By 2020, member states are to achieve a mandatory target of 20% share of energy from renewable resources and 10% minimum target for biofuels. This directive was in December 2018 revised to establish a new binding renewable energy target of at least 32% by 2030 for the European Union [2]. To achieve this, support mechanisms such as subsidies, biofuel quotas, tax exemptions, and priority access or guaranteed access to the grid system for electricity from renewable resources have been proposed [3,4].

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High potential biochemicals were identified based on a combination of TRL and production volumes of petroleum counterparts; • Economic analyses and GHG life cycle assessments were performed with German system considerations in order to better understand the level of GHG abatement potentials and the economic implications; and • Mathematically optimized the allocation of limited biomass resources to the biochemical technologies to determine the potential optimal GHG abatement and the corresponding abatement costs.
In this regard, this work was based on addressing these research gaps identified from literature. The study will contribute to the debate regarding effective biomass utilization strategies for GHG abatement with a special focus on relevant biochemicals by highlighting their GHG abatement potentials and economics.

Materials and Methods
The methodological steps followed in the study are summarized in Figure 1. Biochemicals with the technical potential to substitute fossil counterparts and whose potential substitution (production volumes) are significant were selected as the first step. In the second step, environmental and economic assessments on this subgroup of biochemicals were conducted to determine their environmental and economic performances. The environmental and economic assessments were all done in reference to fossil reference technologies. Based on how they could compete for biomass feedstocks in Germany with GHG abatement maximization as the objective function, the selected biochemicals were mathematically modeled in the last step. competing uses have primarily focused on optimizing bioenergy systems [17][18][19][20]. To the knowledge of the authors, no work has previously been done where: • High potential biochemicals were identified based on a combination of TRL and production volumes of petroleum counterparts; • Economic analyses and GHG life cycle assessments were performed with German system considerations in order to better understand the level of GHG abatement potentials and the economic implications; and • Mathematically optimized the allocation of limited biomass resources to the biochemical technologies to determine the potential optimal GHG abatement and the corresponding abatement costs. In this regard, this work was based on addressing these research gaps identified from literature. The study will contribute to the debate regarding effective biomass utilization strategies for GHG abatement with a special focus on relevant biochemicals by highlighting their GHG abatement potentials and economics.

Materials and Methods
The methodological steps followed in the study are summarized in Figure 1. Biochemicals with the technical potential to substitute fossil counterparts and whose potential substitution (production volumes) are significant were selected as the first step. In the second step, environmental and economic assessments on this subgroup of biochemicals were conducted to determine their environmental and economic performances. The environmental and economic assessments were all done in reference to fossil reference technologies. Based on how they could compete for biomass feedstocks in Germany with GHG abatement maximization as the objective function, the selected biochemicals were mathematically modeled in the last step. In the figure, TRL stands for technological readiness level, GHG stands for greenhouse gas, CO2 stands for carbon dioxide while "Sig. production vol" stands for "significant production volumes".  Figure 1. Methodological process steps for the selection and assessment of biochemicals in Germany. In the figure, TRL stands for technological readiness level, GHG stands for greenhouse gas, CO 2 stands for carbon dioxide while "Sig. production vol" stands for "significant production volumes".

Biochemicals Selection
In this work, the study results of the European Commission Directorate [11] were used as a basis for the biochemicals selection. The selection criterion was broadened by considering biochemicals with a technological readiness level (TRL) between 6 and 9, meaning that these technologies are either in their demonstration phase, in which case they have a high probability of commercial relevance in the near future, or they are already commercially available. The selection criterion was thereafter expanded for this subgroup of biochemicals by contextualizing their substitution potentials to the case of Germany. This was done by considering production volumes of their fossil counterparts shown in Table 1. The petrochemicals production volumes in Table 1 are based on a seven-year (i.e., between 2010 and 2017) average production. Petrochemicals prices data are difficult to find in the public domain. In Table 1, only prices for ethylene, propylene, benzene, and xylenes are shown because price data for other chemicals was not found. In order to have an understanding of the fossil reference technologies and the substitution potential, an analysis for the petrochemical value chain (shown in Figure 2) and the average inventories (production volumes) for the years 2010-2017 in Germany was done. Fossil derived chemicals, i.e., petrochemicals are chemicals derived from crude oil, natural gas, and sometimes coal. The chemicals sector is very heterogeneous in terms of product portfolios. These diverse products are derived from seven main primary petrochemicals: Ethylene, propylene, butadiene, benzene, toluene xylenes, and methanol. Figure 3 highlights the major petrochemical value chains.

Selected Biochemicals
Bioethylene, a drop in the biochemical with the same structure and properties as fossil-based ethylene was chosen as a replacement for fossil-based ethylene. According to [11], bioplastics PLA and polyhydroxyalkanoates (PHA) can substitute polystyrene (PS). PLA and PLA were therefore chosen to replace PS for this work. Succinic acid can be used as a precursor for the manufacture of 1,4-Butanediol, polyamides, polybutyrate succinate, and polyurethanes. Based on the average production volume for polyurethanes, succinic acid which can replace fossil-based adipic acid in polyurethanes production was chosen. The remaining biochemicals from the list either have fossil reference chemicals with minimal production volumes or have no reference fossil chemicals such as sorbitol which has applications in the food industry. Another is Furfural, which despite being used as a solvent, lubricant, gasoline additive, and as a precursor for polymers and resins [23], a specific fossil reference is difficult to establish because of the many fossil equivalents that have similar applications. However, with its versatility and being derived from lignocellulosic biomass it would become relevant. Figure 2. Petrochemical value chains for selected products adapted from [13,22]. In the figure, PVC is polyvinyl chloride, PP is polypropylene, PE is polyethylene, and MTBE is methyl tert-butyl ether.

Selected Biochemicals
Bioethylene, a drop in the biochemical with the same structure and properties as fossil-based ethylene was chosen as a replacement for fossil-based ethylene. According to [11], bioplastics PLA and polyhydroxyalkanoates (PHA) can substitute polystyrene (PS). PLA and PLA were therefore chosen to replace PS for this work. Succinic acid can be used as a precursor for the manufacture of 1,4-Butanediol, polyamides, polybutyrate succinate, and polyurethanes. Based on the average production volume for polyurethanes, succinic acid which can replace fossil-based adipic acid in polyurethanes production was chosen. The remaining biochemicals from the list either have fossil reference chemicals with minimal production volumes or have no reference fossil chemicals such as sorbitol which has applications in the food industry. Another is Furfural, which despite being used as a solvent, lubricant, gasoline additive, and as a precursor for polymers and resins [23], a specific fossil reference is difficult to establish because of the many fossil equivalents that have similar applications. However, with its versatility and being derived from lignocellulosic biomass it would become relevant.

GHG Life Cycle Emissions Assessments
A literature review was undertaken in order to establish life cycle inventory data for the biochemicals and GHG footprints for their fossil counterparts. This was then adapted to current existing conditions for the electric grid mix in Germany. The functional unit considered was 1 ton of  Figure 2. Petrochemical value chains for selected products adapted from [13,22]. In the figure, PVC is polyvinyl chloride, PP is polypropylene, PE is polyethylene, and MTBE is methyl tert-butyl ether.  The CO2 uptake per ton of fresh matter in the feedstocks during cultivation was estimated based on the carbon content of the feedstocks according to Equation (11): where, is the CO2 uptake by feedstocks,

GHG Life Cycle Emissions Assessments
A literature review was undertaken in order to establish life cycle inventory data for the biochemicals and GHG footprints for their fossil counterparts. This was then adapted to current existing conditions for the electric grid mix in Germany. The functional unit considered was 1 ton of biochemical. All the GHG emissions for every biochemical from cultivation of feedstocks and the processing of biomass to make biochemicals were added. This value was then subtracted from a reference fossil chemical in order to determine the amount of GHG savings that can be realized when a ton of petrochemical is substituted by a biochemical counterpart. Different system boundaries were considered and this is highlighted in detail in Section 2.5. Data considered for the cultivation of feedstocks and processing of the feedstocks to desired biochemicals is summarized in Table 2. For the production of biochemicals sugar beets were used as feedstocks for bioethylene while corn grains for succinic acid, PHA, and PLA.

Economic Assessments
Capital costs, feedstock costs, and operation costs associated with the production of the biochemicals were gathered from publicly available data sources. An assumption of 20 years plant life was made for all the technological options. Based on these data, the economic viabilities of biochemical investments were assessed by determining the minimum selling price and compared with the market prices for fossil reference technologies. The minimum selling price is the lowest price at which a biochemical product can be sold in order not to incur a loss. Therefore, this was determined at a point where the total costs (TC) are equal to the minimum selling prices P min according to Equation (1). Total costs include the marginal costs and investment costs. Marginal costs are the feedstock costs, operation and maintenance costs, and taxes minus co-product income. Taxes refer to the combined taxes (corporate income tax, trade tax, solidarity surcharge) which is taken as 30% for Germany according to [31]. The discounted annualized investment costs I (t) are calculated at a rate of 7% (Equation (2)). The internal rate of return is i, the plant life time ist, and the total investment cost is I (0) . The capacity factor was assumed at 92% of the total capacity for all the biochemical production plants.
P min = TC (1) The minimum selling prices for the biochemicals were analyzed in comparison with their fossil references with and without taxes. The capital costs and fixed operation and maintenance costs are summarized in Table 3. The capital costs were converted to 2015 US dollars and then to Euros using the 2015 average EUR/USD exchange rate of 1.11 according to [32]. The price for sugar beets in Germany could not be found, therefore an average price across Europe was taken from [33]. The price for corn grains was taken from [34]. The market price for ethylene was taken from [35]. The 2015 market prices for adipic acid and polystyrene were not found, therefore an average for August 2013 to January 2014 was taken for adipic acid according to Intratec [36]. For polystyrene, the average for 2017 was taken from [37].

Model Description
A mathematical optimization model was formulated building upon the methodology from [42,43], in which greenhouse gas optimal allocation of biomass across transport sectors in Germany is described. Scenario analyses were run on the model to assess the potential GHG abatement potentials from 2015 until 2050 and the biomass allocation implications. The model is a bottom up, deterministic linear optimization model that determines the optimal biomass allocation pathways based on maximizing GHG abatement. It is constrained by the available biomass resources, i.e., in this paper agricultural feedstocks cultivated on the available agricultural land, as well as the available conversion capacities for the technologies and the (upper) sectoral demand. These constraining parameter values are imported from an excel spreadsheet and fed to the general algebraic modeling system GAMS model exogenously using MATLAB. The base capacities for the technologies under consideration continuously decommission over time until their end of life and the model decides which technological options to invest into additional capacity based on satisfying the model constraints and the objective function.

Model Formulation
The GHG abatement objective function (δε) is the difference of the life cycle GHG emissions for a reference fossil technology (ε i,t ) and the life cycle GHG emissions for a biochemical (ε i,t ) multiplied by the biochemicals production summed up over the technological options and temporal resolution. The production of specific biochemicals (π i,t ), which is equal to the amount of feedstocks available (m i,t ) multiplied by the conversion efficiency (η i ), should be less than or equal to the yearly available capacities (k i,t ) and the sum of it should be less than or equal to the total substitution potential (δ t ). The capacity is equal to capacities that have reached their end of life subtracted from the sum of the capacity in the previous year (k i,t ) and the new capacities k + i,t+1 . The difference of the sum of capacity in the previous year (k i,t ) and in order to ensure that the agricultural land for feedstocks is not over-exploited, the amount of feedstocks available (m i,t ) divided by the agricultural yields (Y i,t ) in all the conversion process should always be less than or equal to the available agricultural land. s.t.
where, ε tot Objective function value (total GHG abatement). ε sub,t The GHG emissions for the reference chemicals.
The GHG emissions for the biochemicals. π i,t Biochemicals production.
The conversion efficiencies.
Previous year' capacities.
Available capacity. r Capacity ramp factor (taken as 100,000 tons).

Feedstock Cost Calculation
The costs for sugar beets and corn grains were calculated according to the methodology by Millinger detailed in [44]. Using this methodology, feedstock costs were estimated by adding the per hectare profit of wheat (benchmark crop) to the per hectare production costs of the sugar beets and corn grains. The selling price for corn stover, which was used as a credit for corn grain cultivation, was estimated from the costs of corn grains using Equation (10) according to [45]. The value 0.175 is the ratio of the mass of corn grains to the mass of the whole plant on a dry weight basis.
where, α is the price of corn stover in €/t DM . β is the price of corn grains in €/t DM .
µ is the additional cost for harvesting and storage of corn stover taken from [46].

Integrated Production and CO 2 Sequestration Scenario Analysis
There is uncertainly related to the usage of the coproducts generated during production of biochemicals and the end of life treatment of bioethylene and biosuccinic acid end products. This leads to different assumptions for life cycle assessments. In this regard, four scenarios for the allocation of biomass to the competing biochemicals were analyzed (summarized in Table 4).
As a reference case, biomass allocation was modeled with the assumption that CO 2 uptake during feedstocks cultivation was emitted at the end of life for the end products. Further, integrated production (i.e., use of biochemical coproducts to substitute an equivalent fossil product) was not taken into account.
In the second scenario, further use of biochemicals coproducts is taken into account. Therefore, the GHG abatement as a result of corn stover substituting natural gas in heat generation was subtracted from the overall GHG emissions for succinic acid, PHA, and PLA. Fifty-eight percent of corn stover was assumed to be sustainably harvested according to [47]. In the case of succinic acid, ammonium sulphate is also accounted for in the integrated production by subtracting the GHG footprint of fossil ammonium sulphate fertilizer, as reported in [48].
In the third scenario, biomass allocation was optimized by assuming that bioethylene and succinic acid end products are recycled or landfilled after their end of life. The CO 2 uptake during cultivation of feedstocks which is eventually sequestered into the final product is then regarded as negative emissions in this scenario. In Section 2.5.1, the procedure for the calculation of the CO 2 uptake during cultivation is shown.
Scenario 4 combines the assumptions of scenarios 2 and 3, i.e., fossil equivalent substitution by biochemicals and CO 2 sequestration into the biochemicals end products. The different system boundaries for the scenarios are shown in Figure 3.
The upper demand for the biochemicals was assumed to grow linearly to 20% of the production of fossil-based base chemicals in Germany in 2050. The "Verband der Chemischen Industrie" [49] in their base scenario for the market development of base chemicals in Germany, suggested that chemical production would grow annually by 1.8% until 2030. In this paper, this growth is assumed until 2050. The German electricity grid emission factor changes as a result of more renewable power options deployment until 2050 according to world wildlife foundation (WWF) [50] and was used across all the scenarios. The electrical energy requirements for 1 ton of fossil reference chemicals were identified in order to adjust the GHG emissions as the German power mix becomes more renewable. For adipic acid the value is from [51], ethylene from [52], and polystyrene from [53]. Table 4. Scenario description.

Scenario Description
i Agricultural yields: 9.3 for corn and 65tFM/ha sugar beets kept constant 2% annual wheat price increases 100% renewable electricity by 2050 [50] ii Agricultural yields: 9.3 for corn and 65 tFM/ha sugar beets kept constant 2% annual wheat price increases 100% renewable electricity by 2050 [50] Fossil equivalent substitution by coproducts (integrated production) iii Agricultural yields: 9.3 for corn and 65 tFM/ha sugar beets kept constant 2% annual wheat price increases 100% renewable electricity by 2050 [50] CO 2 sequestration into biochemical end products iv Agricultural yields: 9.3 for corn and 65 tFM/ha sugar beets kept constant 2% annual wheat price increases 100% renewable electricity by 2050 [50] Integrated production and CO 2 sequestration into biochemical end products tFM/ha means tons fresh matter per hectare.
The agricultural yields for the feedstocks were kept constant throughout the optimization period. The annual price increases for wheat (benchmark crop) were assumed at 2% across the scenarios.
The base production capacity for PLA was taken as 500 t/yr. Ethylene, succinic acid, and PHA currently do not have production capacities in Germany. The average production volumes of 2010-2015 for fossil-based ethylene and PS were taken as the maximum upper production for the biochemicals throughout the optimization period. For succinic acid, adipic acid based on a conversion factor of 0.66 [54] to polyurethanes was used. Assumptions for reductions in GHG emissions from fertilizers were taken as 15% by 2035 and 25% by 2050 relative to the base year.

Feedstock CO 2 Uptake Calculation
The CO 2 uptake per ton of fresh matter in the feedstocks during cultivation was estimated based on the carbon content of the feedstocks according to Equation (11): where, is the CO 2 uptake by feedstocks, ψ is carbon fraction in the feedstock on a dry weight basis calculated from the molecular weight of sucrose and starch for sugar beets and corn, respectively, χ is the percentage of dry matter in the feedstock, and τ is the molecular ratio of CO 2 to carbon calculated as shown in Equation (12). Figure 4 shows the GHG emissions for the biochemicals for the considered scenarios, the corresponding GHG abatement, and the percentage GHG abatement. With German system considerations, it can be deduced that all the biochemicals do not abate GHG in the base year (i.e., 2015) for the first scenario. However, with the increased deployment of renewable electricity into the German power mix, succinic acid and PLA have positive GHG abatement by 2020 and by 2050 they have savings of 73% and 54%, respectively. PHA in 2050 has an abatement percentage of 52%. Bioethylene does not abate any GHG in this scenario throughout the temporal resolution.

GHG Abatement
In the second scenario, the performance of succinic acid, PLA, and PHA improves with succinic acid abating the highest GHG per ton with a percentage abatement of 58%. The benefits of coproducts utilization (i.e., integrated production) results in GHG abatements of 11% and 14% for PHA and PLA in the base year. Bioethylene still does not abate any GHG for the base year in the second scenario. The GHG abatements increase to 137%, 101%, and 84% for succinic acid, PHA, and PLA, respectively in the year 2050. Corn stover (i.e., the coproduct from feedstocks cultivation), which replaces natural gas for heating purposes, abates fossil GHG emissions. Ammonium nitrate, a coproduct of succinic acid production, similarly replaces fossil ammonium nitrate in fertilizer applications and, therefore, abates fossil GHG emissions. This GHG abatement is subtracted from the GHG emissions of corn cultivation and succinic acid production which in some cases leads to net negative emissions for biochemicals resulting in GHG abatements of more than 100%.
In the third scenario, bioethylene and succinic acid recorded GHG abatements of 288% and 127% in the base year, figures that increased to 304% and 190%, respectively in 2050. These substantial abatements are a result of the two drop-in biochemicals acting as carbon sinks because the biogenic CO 2 is not emitted at the end of life for biochemicals end products. During cultivation of sugar beets, there is an uptake of 0.31 kgCO 2 for every kilogram of sugar beet (fresh matter) that is harvested. This translates into negative emissions of 6.7 km carbon dioxide equivalent (kgCO 2 eq) per kilogram bioethylene produced. Similarly for succinic acid, there is an uptake of 1.26 kgCO 2 for every kilogram of corn grains harvested which translates into 3.5 kgCO 2 eq per kg succinic acid negative emissions.
In the fourth scenario, GHG abatements for PHA and PLA are the same as in the second scenario while for bioethylene it is the same as in scenario 3. Succinic acid GHG abatement, however, increases to 189% in the base year and 254% in 2050.
In the fourth scenario, GHG abatements for PHA and PLA are the same as in the second scenario while for bioethylene it is the same as in scenario 3. Succinic acid GHG abatement, however, increases to 189% in the base year and 254% in 2050.
In all the scenarios, for the base year, electricity was the major contributor of GHG emissions for succinic acid, PHA, and PLA followed by emissions from cultivation of feedstocks. For bioethylene, the major GHG emissions contributor is natural gas followed by emissions from cultivation of feedstocks.  In all the scenarios, for the base year, electricity was the major contributor of GHG emissions for succinic acid, PHA, and PLA followed by emissions from cultivation of feedstocks. For bioethylene, the major GHG emissions contributor is natural gas followed by emissions from cultivation of feedstocks.
The GHG abatement for biochemicals is further represented in CO 2 eq abatement per hectare as shown in Figure 5. Although having a similar GHG abatement per ton product, PLA has a higher GHG abatement per hectare than PHA because it has a higher conversion efficiency.

Minimum Selling Prices
The minimum selling prices for the biochemicals for the "with/without taxes "considerations and the carbon prices necessary for biochemicals breakeven are shown in Figures 6 and 7, respectively. In the first case, all the biochemicals are uncompetitive in comparison with the current reference fossil market prices except for succinic acid. This is because the discounted annual payments towards investment costs and operational costs for succinic acid together with feedstock costs are less than the fossil reference market price. Succinic acid has a relatively higher conversion efficiency which results into lower costs for feedstocks per ton of product produced. The cost of feedstocks contributes the greatest to the overall costs of bioethylene. The costs for ethanol contribute to just below 60% of bioethylene production costs and corn grains contribute 24%, 26%, and 16% for succinic acid, PHA, and PLA, respectively. The tax rate of 30% for Germany [31] results into taxation costs ranking as the second contributor to the overall costs for bioethylene and the first for succinic acid and PHA. A carbon price of 421 €/tCO 2 eq is necessary for bioethylene to break even and 271 and 245 €/tCO 2 eq for PHA and PLA, respectively. Succinic acid is already economically competitive and therefore, requires no carbon price to be profitable. The GHG abatement for biochemicals is further represented in CO2eq abatement per hectare as shown in Figure 5. Although having a similar GHG abatement per ton product, PLA has a higher GHG abatement per hectare than PHA because it has a higher conversion efficiency.

Minimum Selling Prices
The minimum selling prices for the biochemicals for the "with/without taxes "considerations and the carbon prices necessary for biochemicals breakeven are shown in Figure 6 and 7, respectively. In the first case, all the biochemicals are uncompetitive in comparison with the current reference fossil market prices except for succinic acid. This is because the discounted annual payments towards investment costs and operational costs for succinic acid together with feedstock costs are less than the fossil reference market price. Succinic acid has a relatively higher conversion efficiency which results into lower costs for feedstocks per ton of product produced. The cost of feedstocks contributes the greatest to the overall costs of bioethylene. The costs for ethanol contribute to just below 60% of bioethylene production costs and corn grains contribute 24%, 26%, and 16% for succinic acid, PHA, and PLA, respectively. The tax rate of 30% for Germany [31] results into taxation costs ranking as the second contributor to the overall costs for bioethylene and the first for succinic acid and PHA. A carbon price of 421 €/tCO2eq is necessary for bioethylene to break even and 271 and 245 €/tCO2eq for PHA and PLA, respectively. Succinic acid is already economically competitive and therefore, requires no carbon price to be profitable.
In the case where taxes are completely waived for all the biochemicals, no other biochemical becomes competitive, but their competitiveness improves. The carbon price necessary for bioethylene to break even reduces to 134 €/tCO2eq. For PHA and PLA, this value reduces to 68 and 50 €/tCO2eq, respectively. Succinic acid is even more competitive in the second case and therefore requires no carbon price to be profitable.  In the case where taxes are completely waived for all the biochemicals, no other biochemical becomes competitive, but their competitiveness improves. The carbon price necessary for bioethylene to break even reduces to 134 €/tCO 2 eq. For PHA and PLA, this value reduces to 68 and 50 €/tCO 2 eq, respectively. Succinic acid is even more competitive in the second case and therefore requires no carbon price to be profitable. Figure 6. Minimum selling prices in comparison with fossil reference market prices (top part) and cost structures (bottom part) for the base case (i) and 100% tax relief (ii).

Figure 7.
Carbon prices required for biochemicals to break even with/without corporate taxes in Germany. Since succinic acid is already economically competitive in both cases, no carbon price is needed for it to be economically competitive (i.e., zero). Figure 8 shows the optimal GHG abatement for the biochemicals from available biomass resources for the modeling period in the considered scenarios. In the first scenario, a cumulative GHG abatement of 136 million tons CO2eq is realized at an abatement cost of 743 €/tCO2eq. Succinic acid is predominantly produced throughout the optimization period with PLA following second in the mid and long term. Cumulative GHG abatement increases to 283 million tons CO2eq and the abatement cost reduced to 380 €/tCO2eq in the second scenario. Succinic acid is produced throughout the Figure 7. Carbon prices required for biochemicals to break even with/without corporate taxes in Germany. Since succinic acid is already economically competitive in both cases, no carbon price is needed for it to be economically competitive (i.e., zero). Figure 8 shows the optimal GHG abatement for the biochemicals from available biomass resources for the modeling period in the considered scenarios. In the first scenario, a cumulative GHG abatement of 136 million tons CO 2 eq is realized at an abatement cost of 743 €/tCO 2 eq. Succinic acid is predominantly produced throughout the optimization period with PLA following second in the mid and long term. Cumulative GHG abatement increases to 283 million tons CO2eq and the abatement cost reduced to 380 €/tCO 2 eq in the second scenario. Succinic acid is produced throughout the optimization period and PHA starts from 2030 onwards. Only bioethylene is produced throughout the third scenario while in the fourth succinic acid and bioethylene are preferably produced. The cumulative GHG abatement and abatement costs for the third scenario are 573 million tons CO 2 eq and 250 €/tCO 2 eq, respectively. In the fourth scenario these are figures are 639 million tons CO 2 eq and 189 €/tCO 2 eq, respectively. In 2050, the abatements would translate into savings of 16%, 30%, 68%, and 74%, respectively of energy related GHG emissions for the chemicals sector in Germany for 2014. optimization period and PHA starts from 2030 onwards. Only bioethylene is produced throughout the third scenario while in the fourth succinic acid and bioethylene are preferably produced. The cumulative GHG abatement and abatement costs for the third scenario are 573 million tons CO2eq and 250 €/tCO2eq, respectively. In the fourth scenario these are figures are 639 million tons CO2eq and 189 €/tCO2eq, respectively. In 2050, the abatements would translate into savings of 16%, 30%, 68%, and 74%, respectively of energy related GHG emissions for the chemicals sector in Germany for 2014. Figure 8. Biochemicals GHG abatement and the agricultural land demand for the optimization period for the scenarios (i, ii, iii, iv). On the left y-axis is the GHG abatement and on the right is the agricultural land demanded.

Discussion
In a number of studies [7,11-13] potential biochemicals have been identified. In addition to the criteria that was used in these studies, the extent of the relevance of biochemicals in terms of fossil reference substitution potential was used in this work to screen biochemicals further for the analysis suiting the German context. Succinic acid with the potential to substitute adipic acid in the Figure 8. Biochemicals GHG abatement and the agricultural land demand for the optimization period for the scenarios (i, ii, iii, iv). On the left y-axis is the GHG abatement and on the right is the agricultural land demanded.

Discussion
In a number of studies [7,[11][12][13] potential biochemicals have been identified. In addition to the criteria that was used in these studies, the extent of the relevance of biochemicals in terms of fossil reference substitution potential was used in this work to screen biochemicals further for the analysis suiting the German context. Succinic acid with the potential to substitute adipic acid in the manufacture of polyurethanes, bioethylene a direct replacement for fossil-based ethylene, PHA and PLA both that can substitute polystyrene were identified as important biochemicals.
Our analysis show that the integrated production of biochemicals and end of life treatment for biochemicals end products (i.e., cascading) are key issues for GHG abatement and abatement costs: Without measures to ensure CO 2 is sequestered into end products (i.e., recycling and no energy recovery for end products at end of life) and integrated production, no biochemical abates GHG for the base year conditions. This is particularly attributed to the high CO 2 eq emission factor for the current German power mix. However, as a result of the German government's ambitious target of more renewable electricity by 2050, biochemicals show increased environmental performance. Feasible assumptions for the integration of biochemical coproducts and avoidance of energy recovery from end products of drop-in biochemicals also leads to net GHG savings for biochemicals compared to their fossil counterparts even with the current German power mix. When considered together, integrated production and CO 2 sequestration results in improved GHG emissions abatement and reduced abatement costs.
The results of the GHG abatement per hectare for bioethylene and succinic acid in this study confirm the results by Hermann et al. [14], where they argued that biochemicals are preferable to bioenergy in terms of environmental performance. This conclusion based on the environmental performance of biochemicals, however, only holds true if the coproducts generated during the production of biochemicals are used in other applications that substitute fossil resources (i.e., integrated production) and the end products of the biochemicals are not used for energy recovery at their end of life.
Except for succinic acid, the selected biochemicals are not economically competitive even in an ambitious case of full tax waivers. Since economic feasibility is the ultimate decider for the establishment of any investment, biochemicals deployment based on this metric is not feasible. Succinic acid, having no technical and economic barriers would only need measures such as production quotas for chemicals from renewable resources by petrochemical companies in order to play an active role in GHG abatement. Feedstock costs for bio-ethylene were found to be the major contributor to the overall costs and for other biochemicals the costs of feedstocks were comparable with investment costs. Biochemicals production costs could be significantly reduced by a corresponding reduction in feedstock costs. Efforts into reducing agricultural feedstocks costs such as improved agricultural yields and conversion efficiencies and research into advanced feedstocks for ethanol production could reduce the total costs of biochemicals.
The results for agricultural land requirements for feedstocks cultivation were over 1 million hectares by 2050 across all scenarios. Therefore, the debate regarding the competition of first generation feedstocks with food [55][56][57] which lessens public support [58,59] as cited in [60] could emerge as a barrier to biochemicals deployment. In this regard, second generation feedstocks (lignocellulosic biomass) such as short rotation woody crops, agricultural/forest residues, etc. could become relevant.
In the 2018 "intergovernmental panel on climate change (IPCC)special report on the impacts of global warming of 1.5 • C above pre-industrial levels and related global greenhouse gas emission pathways" [61], bioenergy with carbon capture and storage (BECCS) is relevant as a mitigation option for three out of the four pathways they considered. In the global energy and transportation model (GET 5.0), it was determined that negative emissions are necessary in order to meet stringent CO 2 stabilization targets (i.e., 350 parts per million (ppm)), which also makes BECCS a relevant option [62]. However, carbon capture and storage has among other disadvantages such as the risk of leakage and high costs which do not justify investments if they are more than the carbon price [63]. The benefit of negative emissions can, however, be realized by drop-in biochemicals without the aspects of risk of leakage and costs associated with capture and storage from bioenergy. This coupled with the fact that succinic acid is currently economically competitive when compared to the fossil reference market price is an advantage. The bioethylene margin could become positive with full tax exemption and a carbon price on the fossil reference of 134 €/tCO 2 eq. Retention times are crucial for negative emissions, hence PLA and PHA were disregarded from carbon sequestration consideration because they biodegrade with time. As a result of landfilling restrictions in Germany stemming from the "Circular Economy Act (KrWG)" [64], the best carbon sequestration strategy for biochemicals would be recycling (no energy recovery) of end products after end of life. In addition to the benefits of negative emissions, recycling would facilitate double abatement because recycled plastics (i.e., the majority of end products from ethylene and adipic acid) have a lower GHG footprint than virgin plastics [65,66].

Conclusions
In this paper, biochemicals with the potential to substitute fossil-based chemicals were identified; their environmental and economic performances and the potential GHG abatement from available biomass in Germany between 2015 and 2050 were assessed, and the corresponding abatement costs determined. The environmental performances were done considering four different scenarios derived from assumptions regarding system boundaries.
The main conclusion from the results is that integrated production of biochemicals and measures that ensure CO 2 sequestration into biochemical end products (i.e., no energy recovery from end products after end of life and end products recycling and/or landfilling) significantly increases the GHG abatement of biochemicals, thereby reducing the abatement costs. Within the considered system boundaries, the potential cumulative GHG abatement until 2050 and the abatement costs at which this is achieved varied significantly. Cumulative GHG abatements increased by 110%, 320%, and 370%, respectively relative to the base scenario while abatement costs reduced by 49%, 68%, and 75%, respectively relative to the base scenario. However, reduced abatement costs do not imply a corresponding reduction in production costs. Production costs determine the economic viability of biochemicals when compared to market prices for the fossil derived chemical and are therefore crucial in assessing the chemical sector transformation.
To start the transformation from fossil derived chemicals to biochemicals, with an exception of succinic acid, a minimum CO 2 tax of 421 €/tCO 2 eq is needed as an initial measure in order to make the assessed biochemicals economically competitive. Other measures aimed at reducing feedstock costs, such as improved conversion efficiencies and further research into advanced feedstocks which are readily available and tax incentives could further support the transformation process.

Funding:
This research was funded by the Bundesministerium für Bildung und Forschung, grant number 031B0232E.