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Batch Mesophilic Anaerobic Co-digestion of Spent Goat Batch Mesophilic Anaerobic Co-digestion of Spent Goat Straw Bedding and Goat Cheese Whey: Comparison with the Mono-digestion of the Two Sole Substrates

Fernández Rodríguez, María José; Puntano, N. F.; Mancilla Leytón, Juan Manuel; Borja, Rafael

Abstract

Spent livestock bedding is a valuable resource for the production of green energy (methane) in rural areas. Comparison and evaluation of batch anaerobic digestion and co-digestion of different mixtures of goat straw bedding (SGSB) and goat cheese whey were carried out. Biochemical methane potential (BMP) tests of the 100% SGSB, 95% SGSB-5% whey, 90% SGSB-10% whey, 85% SGSB-15% whey and 100% whey were found to be 423 ± 7, 354 ± 9, 371 ± 2, 293 ± 1, 274 ± 2 mL CH4 g−1 VS. Two different kinetic models were evaluated. The logistic model revealed a decrease in the maximum methane production rate (Rm) from 34.7 ± 1.5 to 14.1 ± 0.9 mL CH4 g−1 VS·d−1 when the percentage of whey in the mixture increased from 0 to 15% as a consequence of the increased ammonia released during the co-digestion of increased concentrations of whey. The lowest value for the maximum methane production predicted by the model (P) was found for 100% whey (274 ± 10 mL CH4 g−1 VS). A two-substrate model was applied to describe the evident existence of rapid and slowly degradable material. Regarding the hydrolysis kinetic constants predicted by this model, considerable increases in the rapid biodegradation stage (krapid) were observed when comparing to the values found for the slow (kslow) biodegradation stage in all the cases tested. The increases between both constants rose from 5 to 42% when the percentage of whey increased.

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1 Postprint of Journal of Environmental Management, Volume 280, 15 February 2021, 111733 DOI: https://doi.org/10.1016/j.jenvman.2020.111733 BATCH MESOPHILIC ANAEROBIC CO-DIGESTION OF SPENT GOAT STRAW BEDDING AND GOAT CHEESE WHEY: COMPARISON WITH THE MONO-DIGESTION OF THE TWO SOLE SUBSTRATES M.J. Fernández-Rodríguez1,2*; N.F. Puntano1; J.M. Mancilla-Leytón3; R. Borja1 1Instituto de la Grasa (CSIC), Campus Universidad Pablo de Olavide. Edificio 46. Ctra. de Utrera Km. 1, 41013, Sevilla, Spain. 2Departamento de Sistemas Físicos y Naturales, Universidad Pablo de Olavide. Ctra.de Utrera, km 1, 41013 Sevilla, Spain. 3Departmento de Biología Vegetal y Ecología, Facultad de Biología, Universidad de Sevilla, 41080, Sevilla, Spain E-mail of the corresponding author*: [email protected] ABSTRACT Spent livestock bedding is a valuable resource for the production of green energy (methane) in rural areas. Comparison and evaluation of batch anaerobic digestion and co-digestion of different mixtures of goat straw bedding (SGSB) and goat cheese whey were carried out. Biochemical methane potential (BMP) tests of the 100% SGSB, 95% SGSB-5% whey, 90% SGSB-10% whey, 85% SGSB-15% whey and 100% whey were 2 found to be 423 ± 7, 354 ± 9, 371 ± 2, 293 ± 1, 274 ± 2 mL CH4 g-1 VS. Two different kinetic models were evaluated. The logistic model revealed a decrease in the maximum methane production rate (Rm) from 34.7 ± 1.5 to 14.1 ± 0.9 mL CH4 g-1 VS·d-1 when the percentage of whey in the mixture increased from 0 to 15% as a consequence of the increased ammonia released during the co-digestion of increased concentrations of whey. The lowest value for the maximum methane production predicted by the model (P) was found for 100% whey (274 ± 10 mL CH4 g-1 VS). A two-substrate model was applied to describe the evident existence of rapid and slowly degradable material. Regarding the hydrolysis kinetic constants predicted by this model, considerable increases in the rapid biodegradation stage (krapid) were observed when comparing to the values found for the slow (kslow) biodegradation stage in all the cases tested. The increases between both constants rose from 5 to 42% when the percentage of whey increased. Keywords: spent goat straw bedding; cheese whey; anaerobic co-digestion; methane yield; process kinetics; two-substrate model. 1. INTRODUCTION According to Jurgilevich et al. (2016) it has been estimated that up to 30% of all food produced around the world is lost or wasted, and therefore, the extraction, transformation, distribution, use and recovery of the materials and energy of commercialized products should be managed in a cyclical fashion (Stahel, 2016; Rodrigues and Borges, 2020). The prevention, reduction and recycling entails a reduction in the waste generation (United Nations Development Programme 3 (UNDP), 2016). At present, the linear industrial model of resource consumption “takemake-disposal” is inefficient and threatens competitiveness (Macaskie et al., 2019). In order to counteract this problem, in 2015, policies were implemented to design and innovate for a circular economy and to make better use of natural resources (Towards a circular economy: A zero waste programme for Europe, COM/2014/0398). EU's efforts is an essential contribution to the develop a sustainable, low carbon, resource-efficient and competitive economy. This transition is the opportunity to transform our economy and generate new and sustainable competitive advantages (Closing the loop - An EU action plan for the Circular Economy COM/ 2015/ 614). The agricultural production have been strongly criticized not only for the high production of agricultural by-products, but also for the high demand for inorganic fertilizer materials, fuels, greenhouse gas emissions, etc., which increase the linear economy in the production system (Duque-Acevedo et al., 2020). In the case of livestock, its numbers have grown along with the human population due to the demand for protein of animal origin (Van Kernebeek et al., 2016). Consequently, a large amount of agricultural-livestock wastes are produced every year all over the world. Only a part of them are used, with the rest being unused and transformed into potential pollutants with high disposal costs. The main limitation for residues’ producers is the lack of knowledge in alternative treatments (Foley et al., 2011; Rojas-Downing et al., 2017). Last few years the reuse of pig and cattle by-products has been the focus of interest but no attention has been paid to small ruminants. More than 75,000 farms are dedicated to goats, 10% of which are dedicated to milk production. The Spanish goat sector is one of the largest milk producers in Europe (Spanish Agrarian Guarantee Fund O.A., 2020). 4 Currently, one of the main challenges the livestock industry faces, especially goats, is to look for alternatives to the large amounts of effluents which are generated, particularly from stabled production systems. For years, herbivore dung has been used with crop stubble as organic matter for soils (Awodun et al., 2007; Holter, 2016). Although this organic matter can be incorporated directly into the soil, it is not recommended because of the presence of faecal coliforms and pathogens, which can produce infectious diseases (Jiang et al., 2015). Instead of providing directly the goat dung into the soil, composting is a simple technology for manure or spent straw bedding treatment. The final product of the process (compost) does not contain pathogens (De Corato, 2020). In deep-litter housing systems, spent straw bedding is usually employed to absorb excrements and urine, thus creating a solid waste rather than a liquid one (i.e. slurry). Such solid waste is soiled bedding that accumulates in the stables and which is referred to as spent bedding (Riggio et al., 2017) or spent straw if the latter is used for bedding material. Dairy production species (cattle, sheep and goats) have an added problem such as the large amount of wastes that is generated from the dairy industry. Dairy industries have undergone huge growth in many countries due to the increasing demand for milk and milk products. It is generating high quantities of dairy effluent with high polluting power. Worldwide, dairy by-products of about 4–11 million tons are released into the environment every year, which is a serious danger for biodiversity (Ahmad et al., 2019). The world production of cheese whey is estimated at about 157 million tons (Macwan et al., 2016); to make 1 kg of cheese 7-8 kg of whey are generated (Carvalho et al., 2013). Traditionally, cheese whey was considered as a waste product and was disposed of by the cheapest possible method, e.g., fed to animals, spray irrigated onto land or treated as effluent (Fox et al., 2017). The dumping of whey is unacceptable today due to its potent 5 polluting effect in environmental ecosystems, so treatment systems involving the proper disposal of whey have been taken more seriously (Macwan et al., 2016). The disadvantages of the current use of the main by-products from goat farming together with the tightening of the current regulations on the application of slurry in soil (Royal Decree Royal 1078/2014; Regulation (EU) 1306/2013 European Parliament), and the lack of connection between livestock and agriculture, mainly due to the increasingly widespread use of inorganic fertilizers (Foley et al., 2011), require viable alternatives for the management of these by-products. The target is look for a costeffective way of recovering by-product. Numerous studies have focused on other techniques for the treatment and / or use of these by-products; recycling by-products not only avoids disposal costs and the environmental problems they cause, but also provides a recovery pattern for the sector (Feng et al., 2018; Van et al., 2020). In order to reduce the organic matter content of the wastes Biotechnological methods have been demostrate to be a good option (Carvalho et al., 2013; Islam Siddique et al., 2020). Therefore, anaerobic digestion (AD) presents a promising approach to the socioeconomic and environmental benefits (Martínez-Sabater et al., 2019). The use of AD for the treatment of organic wastes helps to reduce it as well as lower greenhouse gas emissions and produce renewable energy. (Joshi and Visvanathan, 2019). A good alternative from an environmental and economic point of view would be the good treatment of waste generated in agriculture and dairy industries. Therefore, with the goal of promoting the circular economy model, the overall aim of this study was to evaluate and compare the biogas production of the main by-products from goat farm (spent goat straw bedding (SGSB) and cheese whey (whey) by subjecting them to AD and co-digestion, since they are produced in the same place and both need environmental compliance. Although there are quite a few research works that have 6 anaerobically treated cheese whey (Mainardis et al., 2019; Gameiro et al., 2020), there are hardly any works that have used SGSB as substrate for anaerobic digestion (Riggio et al., 2017); and there are no research works on the co-digestion of both substrates. The use of these agro-industrial wastes for methane production can give rise to high biodegradability and therefore reduce their environmental impact (Islam Siddique et al., 2020). Therefore, the specific aims of this study were: (1) to determine the biochemical methane potential (BMP) of the single spent goat straw bedding (SGSB) and goat cheese whey as well as of different mixtures of both substrates; (2) to determine the best co-digestion ratios of SGSB and whey to ensure a high methane production and stability of the process; (3) to develop a sigmoidal or logistic model in order to predict the BMP and to determine the kinetic parameters of the different processes assayed using the experimental results; (4) a two-substrate model was applied to report the presence of rapid and slowly degradable material in the wastes tested. 2. MATERIALS AND METHODS 2.1. Anaerobic digestion substrates and inoculum SGSB and semi-soft goat cheese whey were used as feedstock for different anaerobic co-digestion mixtures as well as for the anaerobic mono-digestion of both substrates individually. SGSB was collected after two weeks of use from the Experimental farm center at the University of Huelva (Spain). SGSB is a mixture of straw and goat manure and is a very heterogeneous substrate. The whey was obtained from an artisan cheese factory in Huelva, Andalusia, Spain. Both substrates were stored separately at -4 ºC 7 until use, always less than 48 h. In order to characterize the SGSB and whey different chemical and elemental analyses were performed (Table 1). The anaerobic inoculum was obtained from an industrial upflow anaerobic sludge blanket (UASB) reactor of a brewery factory located in Seville (Spain). The inoculum was chosen due to its high methanogenic activity, which was determined in previous anaerobic assays (Fernández-Rodríguez et al., 2019). Some characteristics of the SGSB, whey and the inoculum used in the experiments are shown in Table 1. Table 1. Characteristics of the spent goat straw bedding (SGSB), semi-soft goat cheese whey (whey) and the anaerobic inoculum used in the experiments. Where TS: total solids, VS: volatile solids, COD: total chemical oxygen demand, nd: not determined. 2.2 Experimental set up and procedure SGSB whey Inoculum TS (g kg-1) 286.6 ± 11.8 57.3 ± 3.8 30.5 ± 0.7 VS (g kg-1) VS/TS (%) 263.4 ± 9.5 91.9 ± 10.7 51.4 ± 3.8 89.7 ± 3.8 22.7 ± 1.8 74.4 ± 1.1 COD (g O2 kg-1) 301.0 ± 1.7 60.0 ± 1.0 32.8 ± 1.1 pH C/N nd 21.0 ± 0.4 3.39 ± 0.2 15.1 ± 0.2 7.24 ± 0.1 7.7 ± 0.5 8 The effective volume of the reactors was 250 mL. The inoculum to substrate ratio was 2 (VS basis) according to the literature recommendations (Mainardis et al., 2017). For each reactor containing 239 mL of inoculum, the amount of substrate needed to give the required inoculum to substrate ratio was added together with 239 µL of trace element solution (Fernández-Rodríguez et al., 2019). As controls, three 250 mL batch reactors were supplied with the inoculum and trace elements solution but without the addition of substrate. The reactors were sealed and the headspace of each flask was flushed with nitrogen at the beginning of the assay. The produced biogas was passed through a 3N NaOH solution to capture CO2; the remaining gas was assumed to be methane. The anaerobic digestion experiments were run for a period of c.a. 30 days until the accumulated gas production remained essentially unchanged. Three replicates for each setting were carried out. Data were presented as means ± standard deviations of the means (n=3). The trials were performed at mesophilic temperature (35 ± 2 ºC) in a multi-batch reactor system and the reactors were continuously agitated by magnetic bars at 440 rpm. Different co-digestion mixtures of SGSB and whey were tested: 95% SGSB-5% whey; 90% SGSB-10% whey; 85% SGSB-15% whey. In addition, the digestion of single SGSB (100:0, only SGSB) and only whey (0:100, single whey) (VS basis) were also assessed. 2.3 Analytical methods The substrates and inoculum were analysed previously to the beginning of the experiments. In addition, the digestates or effluents of each set of experiments were also analysed at the end of each experiment. The performed analyses were: Total solids (TS) and volatile solids (VS) were performed according to the Standard Method 2540E (APHA, 2012), soluble chemical oxygen demand (SCOD) was also determined 9 following the standard method 5220D (APHA, 2012), using the closed digestion and the colorimetric method. Total chemical oxygen demand (COD) was analyzed as described by Raposo et al. (2008). pH and Total alkalinity (TA) were determined in fresh samples using a pH meter model Crison 20 Basic. TA was measured by pH titration to 4.3 (APHA, 2012). Total ammonia nitrogen (TAN) was measured by distillation and titration according to the Standard method 4500-NH3 (APHA, 2012). C and N were determined through an Elemental Analyzer LECO CHNS-932 (Leco Corporation, St Joseph, MI, EEUU). Soluble parameters were determined after sample centrifugation (Eppendorf, 10000 rpm, 10 min) and filtration (glass fiber filter 47mm). The following formula was used to calculate the free ammonia concentration (Østergaard, 1985): [NH3] [TNH3]=(1+ 10−pH 10−(0.09018+2729.92 T(K) ))−1 (1) [NH3]: free ammonia concentration; [TNH3]: total ammonia concentration; T (K): Temperature in degrees Kelvin. 2.4 Kinetic modelling 2.4.1 Sigmoidal or logistic model (4 parameters) The sigmoidal or logistic model (4 parameters) was applied to fit the experimental data of methane production during BMP tests. The sigmoidal or logistic model (4 parameters) is given by the subsequent equation (2): 𝐵2=𝐵0+𝑃/[1+𝑒𝑥𝑝(−4 𝑅𝑚 (𝑡 − ʎ)/(𝑃+2))] (2) where B2 is the cumulative methane production during the second stage (mL CH4 g -1 VS), B0 is the cumulative methane production at the start-up of the second stage (mL 16 indicating a fast hydrolysis, as well as good adaptation of anaerobic sludge to the substrate. The rapid rise in methane production during whey AD was due to small sugar and low molecular weight protein methanization, which were easily assimilated by bacteria (Carlini et al., 2015). Whey was the used substrate with the lowest C/N ratio (15) and TAN inhibition was also observed in the AD of this individual waste (Table 2). The methane yield value for whey (100%) was slight higher than those obtained by Jasko et al. (2011), who reported methane yields from 136.6 to 216.3 mL CH4 g-1 VS for the AD of goat cheese whey and Gameiro et al. (2020) who reported methane yields values of 116.9 mL CH4 g-1 VS. However, higher methane yields from fat whey, if compared to the actual ones, were achieved by Mainardis et al. (2019), who reported values in the range of 429.7-437.3 NmL CH4 g-1 VSadded. Intermediate yield values were reached for the different co-digestion mixtures. In this sense, the methane yield obtained during the co-digestion mixture of 90% SGSB-10% whey was 371 ± 2 mL CH4 g-1 VS and lower values were obtained for the co-digestion mixtures 95% SGSB-5% whey (354 ± 27 mL CH4 g-1 VS) and 85% SGSB-15% whey (293 ± 0 mL CH4g-1 VS). In these cases, co-digestion did not lead to an enhanced methane production than the methane production of single substrate digestion (SGSB), but co-digestion is a proper tool for the degradation and energy production of pollutant substrates such as whey. 17 Figure 1. Variation in methane production with time in the BMP tests of the different mixtures of Spent Goat Straw Bedding (SGSB) and goat cheese whey (whey) and of both substrates individually. 0 50 100 150 200 250 300 350 400 450 500 0 5 10 15 20 25 30 Specific methane production (mL CH4g -1 VS) Time (days) 100% SGSB 95% SGSB-5% whey 90% SGSB-10% whey 85% SGSB-15% whey 100% whey 3.4. Kinetic study The cumulative methane productions for the different substrates tested are recorded in Figure 1. In the first 5 days of digestion (1st stage) the methane produced was scarce in all cases tested. Between the 5th and 30th day a typical sigmoidal or logistic curve was observed with an initial lag phase followed by a second phase, in which the methane production rate increased gradually to become almost zero after 25-28 days of digestion. The lag stage varied between 3 and 6 days depending on the substrate assayed. With the aim of simulating the different periods of methane production during BMP test of 100% SGSB, 100% whey and the different co-digestion mixtures, two different models were selected and applied. A sigmoidal or logistic model with its three characteristic phases, i.e. lag, exponential increase and final stabilization step (Li et al., 2012); and a two-substrate model to take into account the presence and contribution of both rapidly and slowly biodegradable fractions (Bai et al., 2016; Scarcelli et al., 2020). 3.4.1. Sigmoidal or logistic model The appearance of the methane production curves with repect the time allow to fit a sigmoidal or logistic model (4 parameters) with the aim of acquiring the representative kinetic parameters (Donoso-Bravo et al., 2010; Fernández-Rodríguez et al., 2014; Vats et al., 2019). A presumption of the logistic model is that microorganism’s activity is proportional to the rate of methane production (Altas, 2009). As can be seen in Figure 1, the logistic model fits the methane production during the second stage (5-30 days): an initial lag period followed by an exponential increase and a final stabilization at a maximal production level were observed. The logistic model has been already used for determining the methane production in BMP test of different substrates such as landfill leachate, herbaceous grass materials, sewage sludge, etc. (Pommier et al., 2007; Altas, 2009; Li et al., 2012). Table 3 summarizes the kinetic parameters obtained from the logistic model in the BMP tests of the different mixtures and individual substrates tested. The R2 values were higher than 0.987 in all cases (Table 3). Likewise, the low values of the errors (differences between the experimental methane productions and those predicted by the model) and standard errors of estimates also indicated a good fit of the experimental data to this proposed model in all cases tested (Table 3). Figure 2 shows the experimental points of methane production versus time in the same plot as well as the theoretical curve predicted by the sigmoidal model for some of the different substrates and mixtures tested. The good fit of the data indicated that the model perfectly predicted the experimental data. Table 3: Values of the parameters obtained from the sigmoidal 4-parameters model for the different substrates studied. Substrate P (mL CH4 g-1 VS) Rm (mL CH4 g-1 VS d-1) ʎ (d) R2 S.E.E.* Error** (%) 100% SGSB 411 ± 11 34.7 ± 1.5 12.2 0.9956 11.37 0.4 95% SGSB-5 % whey 340 ± 8 26.8 ± 1.3 12.9 0.9941 9.43 3.9 90% SGSB-10% whey 361 ± 10 22.8 ± 1.6 12.9 0.9937 9.50 2.7 85% SGSB-15% whey 286 ± 5 14.1 ± 0.9 13.0 0.9935 5.21 2.3 100% whey 274 ± 10 31.2 ± 3.2 9.0 0.9876 8.58 1.8 SGSB: Spent Goat Straw Bedding. *S.E.E.: Standard error of estimate. **Error ((Bm experimental – Bm model)/Bm experimental)·100 The highest maximum methane production rate (Rm) was achieved by the 100% SGSB with 34.7 ± 1.5 mL CH4 g-1 VS·d -1, followed by the 100% whey substrate with 31.2 ± 3.2 mL CH4 g-1 VS·d -1. The three mixtures subjected to co-digestion presented lower Rm values with respect to the raw materials or individual substrates used. In this manner, Rm values of 26.8 ± 1.3, 22.8 ± 1.6 and 14.1 ± 0.9 mL CH4 g-1 VS·d -1 were obtained for the substrates 95% SGSB-5% whey, 90% SGSB-10% whey and 85% SGSB-15% whey, respectively. To be specific, a decrease in the maximum methane production rate (Rm) from 34.7 to 14.1 mL CH4 g-1 VS·d -1 was achieved because the part of whey in the mixture increased from 0 to 15%. Figure 2. Variation in the experimental methane production with time (points) as well as the theoretical curve (solid lines) predicted by the logistic model for some of the cases tested. The ammonia release during the co-digestion of increased concentrations of whey, due to the high concentrations of proteins of this substrate, could explain the poorer digestion performance and slower kinetics when the percentages of whey in the codigestion mixture were increased. 100% SGSB Time (d) 0 5 10 15 20 25 30 B (mL CH4/g VS) 50 100 150 200 250 300 350 400 450 Model Experimental points 95% SGBS-5% whey Time (d) 0 5 10 15 20 25 30 B (mL CH4/g SV) 100 150 200 250 300 350 400 Model Experimental points 90% SGSB- 10% whey Time (d) 0 5 10 15 20 25 30 B (mL CH4g VS) 100 150 200 250 300 350 400 Model Experimental points 85% SGSB-15% whey Time (d) 0 5 10 15 20 25 30 B (mL CH4/g VS) 160 180 200 220 240 260 280 300 Model Experimental points On the other hand, the Rm value of the 100% SGSB (34.7 mL CH4 g-1 VS·d -1) was of the same order of magnitude as those observed in batch AD tests of strawberry and raspberry extrudates (38 and 41 mL CH4 g-1 VS·d-1, respectively), substrates characterized by a high content of carbohydrates (14-267 mg glucose g-1 VS) and appropriate C/N ratios (24 and 27) (Trujillo-Reyes et al., 2019). In addition, the lowest value of the maximum methane production predicted by the model, P, was found for 100% whey (274 ± 10 mL CH4 g-1 VS), which showed an unbalanced C/N ratio (15), far from the optimum C/N ratio for AD (20-30). By contrast, the highest P value was found for 100% SGSB (411 ± 11 mL CH4 g-1 VS), the substrate which achieved the greatest C/N ratio (21). Previous studies have informed that C/N ratios lower than 20/1 lead to potential inhibition due do the presence of free ammonia; in contrast C/N ratios higher than 30/1 could cause nitrogen limitations (Sialve et al., 2009). In fact, the proper SGSB is really a mixture of two substrates, goat manure and straw bedding, which benefits the overall AD process for a substrate with high nitrogen content such as goat manure to be digested with another with high organic content such as spent straw. As is well known, the benefits of co-digestion lie in balancing the C/N ratio in the co-substrate mixture, as well as macro and micronutrients, pH, inhibitors/toxic compounds and dry matter. Anaerobic co-digestion is increasingly being used as an alternative to treat different agro-industrial waste. Anaerobic co-digestion also helps to use reactors more efficiently, as well as costs by processing different waste streams in a single piece of equipment (Imeni et al., 2019). 3.4.2 Two-substrates kinetic model The kinetic parameters got from the two-substrate model in the batch anaerobic assays of the different mixtures and individual substrates tested are resumed in Table 4. The R2 values were higher than 0.981 in all cases and the low values of the standard errors of the estimates also specified a well-suited of the experimental data to this proposed model in all cases studied (Table 4). As can be seen in Table 4, the maximum methane production values of the rapid (Brapid) and slow (Bslow) stages were very similar in all cases studied, showing no significant differences. By contrast, higher differences between the Brapid and Bslow stage were found when microalgae and waste activated sludge mixtures were co-digested anaerobically (Scarcelli et al., 2020). In addition, the lowest value for the maximum methane production predicted by the model for both stages, (Brapid and Bslow), was found for 100% whey (152 ± 8 and 162 ± 5 mL CH4 g-1 VS, respectively), which could be attributed to a low and unbalanced C/N ratio (15), far from the optimum C/N ratio for AD (20-30). As was previously stated, C/N ratios lower than 20/1 can cause an inhibition in the anaerobic process due do the presence of free ammonia (Sialve et al., 2009). By contrast, the highest Brapid and Bslow values were found for 100% SGSB (403 ± 5 and 405 ± 2 mL CH4 g-1 VS, respectively), the substrate that achieved the greatest C/N ratio (21), a value within the optimum ratio for an adequate performance of the AD processes. In relation to the hydrolysis kinetic constants, an increase in its value for the rapid biodegradation stage (krapid) was observed when compared to the value found for the slow (kslow) biodegradation stage. In this way, increases (or differences) between these two kinetic constants of 5%, 8%, 15%, 26% and 42% were obtained for 100% SGSB, 95% SGSB-5% whey, 90% SGSB-10% whey, 85% SGSB-15% whey, and 100% whey, respectively. As can be seen the differences between both constants for 100% SGSB and 95% SGSB-5% whey were not statistically significant. In addition, a decrease in the values of both kinetic constants was observed when the percentage of whey in the mixture increased from 0 to 100%. The ammonia release during the codigestion of increased concentrations of whey, due to the high concentrations of proteins in this substrate, could explain the lower kinetic constants found when the percentages of whey in the co-digestion mixtures were greater. The maximum methane production rates (Rm) calculated from the sigmoidal model follow the same trend. This same increase in the values of the kinetic constant of the rapidly biodegradable fraction compared to the values for the slowly biodegradable fraction was also recently observed during the anaerobic co-digestion of different mixtures of microalgae and waste activated sludge (WAS) and the digestion of both substrates individually. As examples, the values of krapid and kslow of 1.116 and 0.037 d-1, 0.846 and 0.027 d-1, 0.717 and 0.028 d-1, 0.764 and 0.026 d-1 were obtained for 100% microalgae, 80:20, 60:40 and 40:60% of microalgae and WAS, respectively (Scarcelli et al., 2020). Table 4: Values of the parameters obtained from the two-substrate model for the different wastes studied (B = Brapid[1 – exp (-krapid*t)] + Bslow[1 - exp(-kslow*t)]) Substrate Brapid (mL CH4 g-1 VS) Bslow (mL CH4 g-1 VS) kapid (days-1) kslow (days-1) R2 S.E.E.* 100% SGSB 403±5 405±2 0.148 0.141 0.986 13.51 95% SGSB-5 % whey 259±1 261±4 0.109 0.101 0.989 11.05 90% SGSB-10% whey 242±8 245±3 0.055 0.048 0.991 11.64 85% SGSB-15% whey 152±8 156±4 0.044 0.035 0.988 7.92 100% whey 155±8 162±5 0.030 0.021 0.981 10.57 SGSB: Spent Goat Straw Bedding. *S.E.E.: Standard error of estimate. A two-substrate model was also used to describe the apparent presence of rapid and slowly degradable material in the AD of algal biomass previously pre-treated with free nitrous acid (FNA). A model-based analysis revealed that with FNA pre-treatment (2.31 mg HNO2-N L-1), the availability of both rapid and slowly biodegradable substrates were increased (Bai et al., 2016). In this sense, for the above-mentioned pre-treatment, the kinetic constants of the slowly and rapidly biodegradable fractions were 0.01 ± 0.02 and 0.22 ± 0.03 d-1, respectively. The kinetic constants of the slowly and rapidly biodegradable fractions showed the same trend than that observed in the present work. Spent goat straw bedding (SGSB) is a valuable resource for green energy production in rural areas. This research showed that SGSB is a promising substrate for anaerobic digestion and its digestion as sole substrate is feasible. Moreover, the results derived from this study suggest that a co-digestion with a more easily degradable substrate like cheese whey could be done. Further, the modelling work described based on the experimental results achieved can help further optimize the bioprocess of converting goat by-products into renewable energy. 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