Field Crops Research 100 (2007) 200–209 www.elsevier.com/locate/fcr Predicting on-farm soybean yields in the pampas using CROPGRO-soybean J.L. Mercau a,*, J.L. Dardanelli b, D.J. Collino c, J.M. Andriani d, A. Irigoyen e, E.H. Satorre a a Cátedra de Cerealicultura, Facultad de Agronomı́a, Universidad de Buenos Aires, FAUBA, Av. San Martı́n 4453, C1417DSE Buenos Aires, Argentina b Estación Experimental Manfredi, INTA, Manfredi, Córdoba, Argentina c Instituto de Fitopatologı́a y Fisiologı́a Vegetal, INTA, Córdoba, Argentina d Estación Experimental Oliveros, INTA, Oliveros, Santa Fe, Argentina e INTA Balcarce-Universidad Nacional de Mar del Plata, Balcarce, Buenos Aires, Argentina Received 23 December 2005; received in revised form 27 June 2006; accepted 15 July 2006 Abstract Soybean is the main rainfed crop in a wide range of latitudes and sowing dates of the Argentine Pampas. It is sown alone or as a second crop after other winter and summer crops. Modelling approaches have proved to be helpful in the decision making process. The on-farm evaluation of CROPGRO is rather difficult since input data are scarce and frequently of worse quality than those from experimental works. Moreover, CROPGRO simulation of water dynamic processes and their relation with biomass production has not been comprehensively evaluated in soybean crops. The aims of this study were (i) to evaluate the CROPGRO-soybean performance, with emphasis on water demand and supply and biomass production under water limited conditions, (ii) to generate a revised CROPGRO model improving those aspects, and (iii) to compare simulations outputs using the original and the revised CROPGRO models, with on-farm crop data set. In the revised model, we multiplied potential evapotranspiration by 1–1.22 when LAI increased from 0 to 4.0. We set a root extension rate of 4.0 cm/thermal day and a maximum rooting depth of 2.5 m. Finally, we included a nonlinear equation to simulate the relationship between relative transpiration and relative gross photosynthesis. The ability of the revised CROPGRO-soybean to simulate water content depletion and biomass production was tested against several experiments with an imposed drought period. We also calibrated cultivar parameters using ‘‘ad hoc’’ tests in a range of environments (combinations of sowing dates and locations). The models were evaluated with data from 155 commercial farms. V (%) (root mean square error as percentage of the observed mean) for the total cycle length, vegetative period, and reproductive phase simulations were 7, 13 and 15%, respectively. The revised CROPGRO was more accurate in simulating crop yield, biomass, harvest index and yield numeric components. V (%) values ranged from 11 to 17% (revised version) and from 13 to 22% (original version). Besides, V (%) values for yield were 16% with the revised model versus 32% with the original one, considering only paddocks with higher water stress level. The robust prediction of phenology, biomass and yield components obtained with the revised model across different environmental conditions, support its use in the decision making process of the soybean crop at the farm scale. # 2006 Published by Elsevier B.V. Keywords: Soybean; Crop simulation; Water stress; CROPGRO; On-farm evaluation 1. Introduction Soybean is grown across the Argentinean Pampas, where it constitutes the main rainfed crop in a wide range of ecological, technological and management environments (Hall et al., 1992). Management alternatives for this crop involve sowing date, growth season duration, crop density, spatial arrangement * Corresponding author. Tel.: +54 11 4524 8053; fax: +54 11 4524 8053. E-mail address: [email protected] (J.L. Mercau). 0378-4290/$ – see front matter # 2006 Published by Elsevier B.V. doi:10.1016/j.fcr.2006.07.006 and fertilization level, among others (Calviño and Sadras, 1999; Campos, 2003; Gonzalez Venzano, 2003; Torrent, 2003). In almost every region of the Pampas, soybean can be annually cropped alone or as a second crop after wheat. In the northern Pampas, soybean can also be sown as part of a double summer crop system, with maize or another soybean as a preceding crop in the same year. Soybean crop systems are in part responsible of a large transformation of the pampean landscape (Satorre, 2001). The area cropped with soybean increased from 1.8 to 13.5 million ha in the 1980/1981–2004/2005 period (http://www.secyt.gov.ar). J.L. Mercau et al. / Field Crops Research 100 (2007) 200–209 Innovations in crop management have been also performed both under the leadership of farmers and research centres. Farmers are organized in associations such as AACREA (Argentine Association of Agricultural Experimentation Consortia) or AAPRESID (Argentine No-till Farmers Association), which conduct pioneering experiences and perform local experiments to improve management skills. In such a dynamic and changing scenario, modelling approaches can be a valuable tool to evaluate new technologies under previously unexplored conditions (i.e. Savin et al., 1995; Ferreyra et al., 2001; Carberry et al., 2002). The use of an accurate model along with soil spatial variability and long-term weather data may allow farmers to explore the effects of different cropping strategies (Sadras and Hall, 1989; Meinke et al., 2001). The model should be simple enough as to minimize structure-linked errors and data requirements, and should also include the main sources of yield variability (Passioura, 1996). Up to date, simple agronomic models have proven to be useful for the analysis of soybean yield in particular regions of the Pampas (Calviño and Sadras, 1999; Calviño et al., 2003). However, being developed for specific cropping systems, these models lack of flexibility and only evaluate a reduced set of management alternatives (Calviño and Sadras, 1999). Agronomic simulation models such as CROPGRO – included in DSSAT (Jones et al., 2003) – APSIM (Keating et al., 2003) and CropSyst (Stockle et al., 1994), offer a better balance between complexity, data requirements and management variables to be simulated. Minimum data sets, always required by any model included in DSSAT at the farm level scale, are usually available or can be acceptably estimated (Hunt et al., 2001). These models are sensitive to soil and weather variations and management decisions (i.e. genotype characteristics, sowing date, population density and its spatial arrangement, fallow). CROPGRO is a generic growth model that simulates soybean as well as other crops (Boote et al., 1998). CROPGROsoybean, and its precursor SOYGRO, have been used to simulate phenology (Grimm et al., 1993, 1994; Piper et al., 1996a) and yield (Colson et al., 1995; Mavromatis et al., 2001; Calviño et al., 2003). CROPGRO has demonstrated to be a valuable tool for scientific research, crop management and policy-making (Boote et al., 1996), but, at present, its performance has been scarcely evaluated. In addition, model calibration was often needed to achieve adequate performances (i.e. Colson et al., 1995; Sau et al., 1999; Calmon et al., 1999). The water balance component of a process-oriented model may be crucial to ensure its accuracy under rainfed production conditions. However, the on-farm evaluation of CROPGRO is difficult since input data are scarce and frequently of worse quality than in experimental works. CROPGRO simulation of water dynamic processes and their relation with biomass production has not been comprehensively evaluated in soybean crops. The objectives of this work were (i) to evaluate the CROPGRO-soybean performance, with emphasis on water demand and supply and biomass production under water limited conditions, (ii) to generate a revised CROPGRO model improving these aspects, and (iii) to compare different 201 simulations outputs using the original versus the revised CROPGRO models, with an on-farm crop data set. 2. Materials and methods 2.1. The CROPGRO-soybean v3.5 model CROPGRO-soybean is a process-based model with a simulation time step of 1 day. CROPGRO-soybean simulates phenology and growth of soybean under a wide range of conditions. Phenology is simulated by allowing developmental phases to be differentially sensible to temperature, photoperiod, water and nutrient stress (Boote et al., 1998). The soybean species file describes cardinal temperatures of phenological processes. In v3.5, vegetative, early and late reproductive development base temperatures are set to 7.0, 6.0 and 48.0 8C, respectively. However, in the early reproductive phase, we used 2.5 8C, according to Grimm et al. (1993). CROPGRO simulates genotype differences for any phase duration and its photoperiodic sensitivity, although genetic coefficients need to be calibrated. Water balance in CROPGRO is described in detail in Ritchie (1998). Briefly, the model calculates the crop water demand and the root system ability to supply water on a daily basis. To establish soybean demand, the model can use two equations to calculate potential evaporation: (i) Penman–FAO (Doorenbos and Kassam, 1979) and, (ii) Priestley–Taylor as modified by Ritchie (1998). Widespread use of Penman–FAO in the Pampas is limited because required dew point and wind speed data are scarce. The second approach is simpler, but could require crop specific calibration (Villalobos et al., 1996; Ferreyra, 1998). To calculate crop water supply, CROPGRO combines a cascading layer model for soil water movement and a root water uptake model. Water infiltration is calculated from daily rainfall using a modification of the USDA Soil Conservation Service curve number method (Williams et al., 1984). When not measured, this parameter is assigned to each soil considering texture, depth, slope, land cover, etc. (SCS, USDA, 1972). Soil water availability for the crop is defined by (i) soil water upper and lower limits, (ii) root growth rate until maximum rooting depth is achieved, and (iii) the potential root water uptake within each layer. Water limits are usually estimated from soil texture and organic carbon content by using pedotransfer equations. In soybean species file root growth rates (YRTFAC) are set to 2.5 cm TD 1 (TD: thermal day) for the entire crop growing period. Soil water availability, soil water lower limit, crop root density, and maximum daily water uptake rate by roots determine the potential for water uptake. When soil water content is near field capacity, root water uptake rate (cm3 cm root 1 d 1) is maximized. When the soil dries, uptake rate decreases exponentially from different water content thresholds and with different slopes as a function of root density and soil lower limit as described in Fig. 1. Higher soil lower limits correspond to fine textured soil horizons, where water absorption rates are reduced as consequence of non-uniform root distribution (Dardanelli et al., 2004). Root density distribution is modulated by soil layer using root growth factor (SRGF) and it is further modified when 202 J.L. Mercau et al. / Field Crops Research 100 (2007) 200–209 Fig. 1. Relationship used to calculate maximum root water absorption (cm3 cm root 1 d 1) as related to the volumetric water content above the lower limit (cm3 cm 3), root length density (4, 1 and 0.1 cm root 1 cm3 soil, from thicker to thinner line), and the magnitude of the lower limit (at right: a clayey soil with a 0.24 cm3 cm 3 lower limit; at left: a sandy soil with a 0.04 cm3 cm 3 lower limit). there is poor aeration or low soil water content. Usually SRGF values are user-defined as a function of soil depth and qualitative description of soil root presence, in order to consider constraints to root proliferation (Ritchie and Godwin, 1989; Calmon et al., 1999; Wang et al., 2003). We assessed SRGF combining a soil depth function with an exponent value of 2.0 (Jones et al., 1991) and a root proliferation constraint factor increasing with fine texture soils (Dardanelli et al., 2003). 2.2. A revised CROPGRO model We proposed three modifications to the water balance procedures of CROPGRO v3.5 model. (i) Crop water demand: We evaluated the agreement between the Ritchie (1998) equation and the soybean crop potential evaporation using 32 water use estimates from irrigated experiments at three sites: Balcarce ( 37.758 latitude, 58.258 longitude), Oliveros ( 32.558, 60.838), and Manfredi ( 31.828, 63.808). Water use was calculated once full crop cover was reached (LAI higher than 4.0) by soil water storage differences between two neutron probe measurements during periods (duration range 3– 17 days) without rainfall and irrigation. Average measured crop water use (range 4.0–8.6 mm d 1) was 22% higher than Ritchie’s (1998) equation prediction. Therefore, we introduced an empirical correction factor in the model code that multiplies potential evapotranspiration by 1.22 when LAI is 4.0. The correction factor decreases linearly to 1 when LAI = 0. A roughly similar approach was described for sunflower (Villalobos et al., 1996) and peanut (Ferreyra, 1998). (ii) Crop Water uptake: From previous research we established that field measurements of rate of root extension were better predicted by setting a 4.5 cm TD 1 value (Dardanelli et al., 2003). We found that 4.0 cm TD 1 appeared to be a good substitute when the soil impedance factor is not considered. For the revised model, we assumed 2.5 m as a parsimonious estimation of maximum rooting depth with no physical constraint throughout the soil profile (Dardanelli et al., 1997; Dardanelli and Andriani, 2003). (iii) Crop growth under water limitation: CROPGRO assumes a linear relationship between actual to potential transpiration (SWFAC) and actual to potential gross photosynthesis (PG/ PGMAX) (Ritchie, 1998). However, there is evidence that under water supply limitations, gross photosynthesis decreases at a lesser rate than transpiration in peanut (Ferreyra et al., 2003) and wheat (Abbate et al., 2004). To evaluate the ability of the revised CROPGRO-soybean to simulate water content depletion under supply-limited conditions, we used five experiments located at Balcarce, Oliveros and Manfredi. Soils included horizons with contrasting textures: loam, silty loam, silty clay loam, clay loam, and silty clay. For methodological details see Dardanelli et al. (2003). Briefly, soybean crops were grown without water limitation until full cover was reached. Thereafter, drought was imposed by excluding rainfall using mobile shelters. Soil water content was regularly measured within the whole profile (0– 2.5 m) using the gravimetric procedure in the upper 30 cm and the neutron probe technique from this depth to 2.5 m depth. In the same experiments, we measured total aerial biomass at physiological maturity (range 3112–5976 kg ha 1) in order to evaluate the relationship between SWFAC and PG/PGMAX for soybean crops. To perform CROPGRO simulations for these experiments, we used specific genetic and soil parameters defined in a previous study (Dardanelli et al., 2003). 2.3. Calibration of genetic coefficients We calibrated cultivar parameters using ‘‘ad hoc’’ trials exploring a wide range of sowing dates (October–January) in three localities: Marcos Juárez ( 32.688 latitude, 62.108 longitude), Pergamino ( 33.908, 60.588) and 25 de Mayo ( 35.438, 60.178). Cultivar genetic coefficients were adjusted to reported agronomic ranges as suggested by Boote et al. (2003). Dates of the phenological stages R1, R3, R5 and R7, yield and unit grain weight were measured. R1 and R7 were assessed according to Fehr and Caviness (1977), while R3 and R5 were measured as the first pod and first seed at any node (Boote et al., 1998). Iterative simulation runs in two steps were performed with different coefficients values. Firstly, phenology coefficients (photothermal days, PTD, between R stages, critical photoperiod before and after R1 and response to day length) for each genotype, was changed until the model acceptably predicted the observed values for all data sets. Secondly, a subset of experiments where water was not limiting was used to adjust the coefficients involved in yield determination (maximum leaf photosynthesis, maximum weight per seed, and individual seed filling duration), until an acceptable model error was achieved. Experiments with moderate to severe water stress were excluded in order to reduce simulation errors under water limited condition. 2.4. CROPGRO simulation with on-farm data To evaluate simulations for on-farm conditions, we collected data from AACREA commercial farms. AACREA (Argentine J.L. Mercau et al. / Field Crops Research 100 (2007) 200–209 203 Table 1 Variables assessed in commercial farms to characterize key aspects of the crop, its environment and management Features of the cropping system Variable Crop Phenological development Date of sowing, date of first flowera (R1), date of first seeda (R5), date of physiological maturitya (R7) Structural and functional Variety, plant population densityb aspects (plants m 2) Yield and its components Aboveground biomass at maturityc (kg ha 1), dry yieldc (kg ha 1), individual grain massd (mg), grain numberd (# m 2) Environment Weather Soil Biological Management On-farm daily rainfall (mm), on-farm hail storms, daily maximum and minimum temperaturee (8C), daily solar radiatione (MJ m 2) Soil type (USDA classification), depth to the duripan (m) Visual estimation of weed cover at flowering (%), visual estimation of diseases incidencef Previous crop, tillage system, date of harvest a Paddocks were scouted once every 7–15 days. R1 and R7 according to Fehr and Caviness (1977) scale. R5 as the first seed in any node (Boote et al., 1998) in the most of paddocks but in some of them it was scouted according to Fehr and Caviness (1977). b Assessed in 10 randomly distributed linear plots of 14.3 m length each. c Measured in three randomly chosen rows (7 m length each) before mechanical harvest (0% humidity). d Measured in five sub-samples of 200 grain each (0% humidity). e Measured on nearby meteorological stations. f Main diseases included Sclerotinia stem rot (Sclerotinia sclerotiorum (Lib.) de Bary), Sudden death syndrome (Fusarium solanii f. sp. glycines), Root rot (Phytophthora sojae) Brown stem rot (Phialofora gregata), and Stem cancer (Diaporthe phaseolorum f. sp. meridionalis). Association of Agricultural Experimentation Consortia) is a nongovernmental association of farmers. In AACREA, professional consultants advise groups of 8–12 growers on the basis of both on-farm trials and records of crop, soil, weather and economic data. In Argentina, this association is one of the main sources of information on major cropping systems. We assessed a wide number of variables (Table 1) for 186 paddocks from 1997/ 1998 to 2000/2001 growing seasons across the Pampas (Fig. 2). Thirty-one fields were discarded from the analysis due to the severe intensity of stresses they suffered or to the lack of data to run the model. In the remaining 155 fields, sowing dates ranged from 1 October to 10 January and were sown with 14 varieties from II to VII maturity groups. Only 23% of the fields were sown with determinate growing habit varieties (six varieties), the remaining 77% fields were sown with eight indeterminate varieties mainly from maturity groups III and IV. Plant population was 18–80 plants m 2, and rows were 0.26–0.70 m apart. Harvest dates ranged from 12 March to 2 June. Previous crops were maize (39%), soybean (39%), other summer crops (sunflower, peanut and sorghum; 12%), and perennial pastures (10%). In 25% of paddocks, spring wheat was sown before the soybean crop in the same calendar year. In all cases seed was Fig. 2. Mean differences between precipitation and potential evapotranspiration for the period November–March in the Pampas. Dashed circles represent the distribution of soybean crop paddocks evaluated, numbers inside are the number of paddocks in each area. inoculated with Bradyrhizobium japonicum immediately before sowing. Recommended pesticides were used to control weeds, diseases and insects. Mean differences between precipitation and potential evapotranspiration for the period November to March in the explored area ranged from 250 to 125 mm (Fig. 2), suggesting a frequent occurrence of water limitation during the soybean season. Soil profile characteristics were assigned to each paddock according to soil survey data and maps provided by the National Institute of Agricultural Technology (INTA) at 1:50,000 scale. Soil nitrogen initial condition was set according to expert assessment in each zone. Soil water limits and soil surface condition parameters were estimated according to IBSNAT methods (Ritchie and Godwin, 1989). The initial soil water contents were roughly estimated to each growing season and zone according to DSSAT water balance simulation from early March to each field soybean sowing date, including wheat growth simulation when necessary. Daily precipitations were measured on-farm, while temperature and radiation data were extrapolated from meteorological stations 10–130 km far-away from the fields. To simulate radiation interception and biomass production, we used hourly photosynthesis calculations and the hedgerow photosynthesis model options of CROPGRO (Boote et al., 1998). The phenological stages R1 and R5 were scouted in more than the 80% of paddocks, 53% of paddocks had R7 assessment; only in 45% of paddocks were the three stages recorded. Soybean grain yield (0% humidity), crop biomass, grain number and unit grain weight were assessed in 100, 74 and 85% of paddocks, 204 J.L. Mercau et al. / Field Crops Research 100 (2007) 200–209 respectively. For each variety, simulation was performed using specific genetic coefficients (see Section 2.3). These inputs were used to run the model independently from sowing date to maturity for each of the 155 fields. 3. Results crop potential evaporation. The use of the revised CROPGRO under supply-limited conditions in soils without physical constraints resulted in a RMSE of 15 mm between measured and simulated total available soil water content during the imposed drought period. This RMSE is 14% of average measured values (range from 27 to 293 mm). The RMSE in soils with argillic horizons, which constrain root development and water uptake, was slightly higher, achieving 26 mm. This is 18% of average available water measured values (range from 31 to 330 mm). Simulation of crop biomass production under water stress was compared considering: (i) the original model with a linear relationship between SWFAC and PG/PGMAX, and (ii) a revised model code with a nonlinear relationship; i.e. PG/ PGMAX = 1 (1 SWFAC)WSFEXP, where WSFEXP is an empirical constant (Ferreyra et al., 2003). RMSE of the observed/simulated soybean biomass with the linear model reached 1871 kg ha 1 (39% of the measured mean biomass values). For the non-linear version, after iterating several values, WSFEXP was set to 4.0, reducing RMSE to 625 kg ha 1 (13% of the measured mean biomass values). The WSFEXP value is higher than the 2.5 value obtained by optimization in peanut (Ferreyra et al., 2003). However, the use of 2.5 for WSFEXP increased RMSE to 1009 kg ha 1 (21% of the observed mean biomass values). 3.1. Evaluation of CROPGRO water balance procedures 3.2. On-farm evaluation of CROPGRO-soybean We used five experimental data sources with detailed measurements of water dynamic and biomass production to evaluate the modifications introduced to CROPGRO-soybean. The RMSE for predicted versus observed crop water use under full cover and no water limitation decreased from 1.6 to 1.2 mm d 1 after calibrating soybean water use from the agreement between the Ritchie (1998) equation and soybean For on-farm conditions, weather and crop management data were available, and soil parameters were estimated from local surveys (see Section 2.4). Most of the modified genetic coefficients used to simulate the 14 cultivars are shown in Table 2. The first six coefficients averaged 3.6, 6.7 and 7.9 V (%) values for the periods from sowing date until R1, R5 and R7, respectively. These coefficients were calibrated on the basis 2.5. Statistical methods To evaluate the agreement between observed and simulated data, we used the root mean square error (RMSE) and its components (Kobayashi and Salam, 2000). The RMSE is the square root of the average square biases between each observed and simulated values. The square of RMSE, the mean square deviation, is the sum of three components: (i) the disagreement between the observed and simulated average (squared bias, SB), (ii) the squared difference between the observed and simulated standard deviations (SDSD), and (iii) lack of correlation weighted by the standard deviations (LCS). In our study, RMSE values are expressed also as a percentage of the observed mean (V (%)), and the SB, SDSD and LCS as a percentage of the total mean square deviations (i.e., SB (%), SDSD (%) and LCS (%)). Finally, we also calculated the determination coefficient (R2) between the simulated and the observed data (Steel and Torrie, 1985). Table 2 Genetic coefficients values calibrated for the 14 cultivars used to evaluate CROPGRO-soybean for on-farm conditions Cultivar DM 2800 P 9396 DM 3800 A 4456 DM 4700 DM 4800 A 5435 A 5409 A 6401 A 6445 RA 702 A 7409 Mercedes 70 Fogata 72 a MGa II III III IV IV IV V V VI VI VII VII VII VII CSDL (h) PPSEN (d h 1) R1PPO (h) EMFL (PTDb) FLSD (PTD) SDPM (PTD) LFMAX (mg CO2 m 13.50 13.40 13.45 13.00 13.10 13.00 12.55 12.40 12.35 12.35 12.00 12.00 12.05 12.20 0.280 0.300 0.300 0.300 0.325 0.315 0.300 0.310 0.335 0.315 0.260 0.260 0.300 0.320 0.500 0.324 0.400 0.369 0.369 0.369 0.400 0.500 0.300 0.459 0.504 0.504 0.504 0.504 18.5 20.5 22.0 22.5 20.5 20.0 25.0 23.0 20.0 24.0 23.0 23.0 23.0 24.0 17.5 15.5 18.0 11.0 14.0 13.5 11.0 10.5 11.0 12.0 12.5 12.5 12.0 11.5 31.5 37.0 33.0 38.0 39.0 38.0 37.0 35.0 38.5 36.0 34.0 34.0 32.0 36.5 0.95 0.95 0.95 0.85 0.90 1.05 0.85 0.80 1.10 0.85 1.00 0.85 0.80 0.80 2 s 1) WTPSD (G) SFDUR (PTD) 0.180 0.190 0.190 0.175 0.170 0.190 0.165 0.150 0.150 0.155 0.175 0.150 0.140 0.155 20.0 26.0 22.0 26.0 29.0 26.0 28.0 24.0 29.0 25.0 27.0 27.0 23.0 27.0 MG: maturity group; CSDL: critical short day length below which reproductive development progresses with no daylength effect; PPSEN: slope of the relative response of development to photoperiod with time; R1PPO = increase in daylength sensitivity after anaesthesis; EMFL: time between plant emergence and flower appearance; FLSD: time between first flower and first seed; SDPM: time between first seed and physiological maturity; LFMAX: light saturated leaf photosynthesis rate at 30 8C, 350 vpm CO2 and high light; WTPSD: maximum weight per seed; SFDUR: seed filling duration for pod cohort at standard growth conditions. b Photothermal days. J.L. Mercau et al. / Field Crops Research 100 (2007) 200–209 205 Table 3 Comparison of observed and simulated durations (days) for developmental phases defined by sowing date (Sd), first flower R1, first seed (R5, see text for details), and physiological maturity (R7) Period N Rangea (days) Observed (days) Simulated (days) RMSE (days) V (%) SB (%) SDSD (%) LCS (%) R2 (%) Sd–R1 R1–R5 R5–R7 R1–R7 Sd–R7 139 126 70 82 82 28–83 13–55 17–59 47–91 94–158 54 12 30 8 39 9 66 9 125 14 54 9 29 6 45 4 70 8 127 12 7 9 10 10 9 13 30 25 15 7 1 1 35 16 8 10 7 20 2 5 89 92 45 82 87 63 4 16 16 63 Root mean square error (RMSE) and its percentage of observed mean (V). Squared bias (SB), squared difference between the observed and simulated standard deviations (SDSD), lack of correlation weighted by the standard deviations (LCS), are expressed as a percentage of mean square deviation. Determination coefficient (R2). a Observed values. of phenological stages dates from experiments performed along an ample range of sowing dates and locations (see Section 2.3), The remaining three parameters averaged 12.8, 12.1 and 9.5 V (%) for yield, grain number and, unit grain weight, respectively. These parameters were calibrated with yield components obtained from experiments in which water was not a limiting factor (see Section 2.3). Thereafter, we used a unique set of genetic coefficients for each genotype, avoiding the use of local coefficients (Boote et al., 2003). The amount of rainfall accumulated from sowing to maturity, calculated on the basis of commercial farms data sets, ranged from 207 to 1098 mm. Total cycle length (sowing to R7) varied from 94 to 158 days. This combination of factors provided ample variation both in on-farm soybean aerial biomass at R8 (3985–9495 kg ha 1) and in crop dry grain yield (1326–5078 kg ha 1). Flowering (R1) occurred on 6 January 25 days, first seed (R5) on 6 February 23 days and physiological maturity (R7) on 27 March 20 days. CROPGRO-soybean simulation of the sowing-R1 period was similar in average to the observed value and the RMSE was 7 days (Table 3). Physiological maturity (R7) was correctly simulated resulting in a V (%) = 7 on the estimation of total cycle length (Sd–R7, Table 3). A 2 days overestimation of cycle length average and variability contributed with only 13% to the RMSE (SB (%) plus SDSD (%)). The model output accounted for the 63% of observed cycle length variability until both R1 and R7 (R2, Table 3). An adequate simulation of reproductive phase (R1–R7, Table 3) complemented the correct estimation of the vegetative period (Sd–R1). However, R1–R5 and R5–R7 were simulated with less precision, mainly because in some paddocks R5 estimation date was performed considering the four uppermost nodes (Fehr and Caviness, 1977), instead of any node of the plant, the event which CROPGRO model predicts (Boote et al., 1998). These two criteria produced R5 date discrepancies and increased the prediction errors especially for indeterminate varieties. Consequently, the model over-predicted in 6 days the average registered value (SB (%) = 35) and under-predicted in 5 days the observed variability (SDSD (%) = 20). The revised CROPGRO-soybean model more accurately simulated crop yield, biomass, harvest index and yield numeric components than the original v.35 model (Table 4). RMSE ranged from 11 to 17% of average measured values (V (%), Table 4). The revised model simulated on-farm biomass and yield across a wide range of observed values, being most of observed deviations lesser than 15% of simulated values (Fig. 3). The simulation accounted for the 41% of observed biomass and yield variability (R2, Table 4). Average and variability of crop yield and biomass simulation only accounted for less than 8% of simulation error, reflecting similar distributions of simulated and on-farm observed values (Table 4; Fig. 3). To assess the impact of the water process simulation in onfarm model accuracy, we evaluated the trend of the difference between simulated and observed yields across its corresponding Table 4 Observed and simulated values of crop biomass, yield, harvest index (HI), grain number and unit grain weight (UGW) using original (O) and revised (R) CROPGRO model (M) N Range Observed Ma Simulated RMSE V (%) SB (%) SDSD (%) LCS (%) R2 (%) Biomass (kg ha 1) 115 3985–9495 6778 1188 Dry yield (kg ha 1) 155 1326–5078 3351 685 HI (%) 115 33–60 50 5 Grain number (# m 2) 132 924–3348 2360 415 UGW (mg) 132 98–186 146 16 O R O R O R O R O R 6284 1434 6532 1218 3046 787 3200 616 49 6 50 5 2349 402 2395 328 132 21 136 16 1264 1054 743 584 6.3 6 382 372 27 22 19 16 22 17 13 11 16 16 19 15 15 5 17 7 2 0 0 1 27 18 4 1 2 1 1 1 0 5 3 0 81 94 81 92 97 99 100 94 70 82 38 41 34 41 10 12 32 28 6 8 RMSE, V, SB, SDSD and LCS, as in Table 3. a CROPGRO model versions, original v3.5 (O) and revised (R). 206 J.L. Mercau et al. / Field Crops Research 100 (2007) 200–209 simulated water stress level for R5–R7, the period in which water was most limiting (Fig. 4). Using the revised model, the linear equation (solid line) simulated that, at 50% of water stress level, the yield difference reached 612 kg ha 1 (R2 = 0.08, Fig. 4). However, the original model resulted in 1626 kg ha 1 of yield difference (R2 = 0.37, Fig. 4). The RMSE of yield simulation decreased from 743 kg ha 1, with the original model, to 584 kg ha 1, with the revised one (Table 4). If only the paddocks with water stress level higher than 10% were considered, the RMSE obtained using the revised model (n = 73) would reach 531 kg ha 1 (16% of average observed values), whereas the original model (n = 50) would result in a RMSE of 1007 kg ha 1 (32% of average observed values). In both the revised and the original models, when water stress level was less than 10%, the RMSE was near 580 kg ha 1 (17% of average observed values), without bias in the average yield estimation. 4. Discussion Fig. 3. Simulated and observed values of crop yield (kg DM ha 1), and biomass (kg DM ha 1). Lines showed 1:0.85; 1:1.15 and 1:0.85 relationships between simulated and observed values. Fig. 4. Relationship between simulated and observed yield difference and its corresponding simulated water stress level (SWFAC) for R5–R7 with the original (triangles, dashed line) and revised (circles, solid line) model versions. Model evaluation with on-farm data sets could lead to higher errors compared to controlled experimental data sets because of higher variability of observed data, lower quality inputs and greater number of parameter estimations. However, the performance of the CROPGRO-soybean model proved to be successful in 155 paddocks conducted under standard farm practices and contrasting environmental conditions in the Argentine Pampas. The model accurately simulated the onfarm observed phenology in a wide range of sowing dates, genotypes and sites (Table 3). Whereas CROPGRO v.35 simulations of crop biomass yield, harvest index and yield numeric components were good, the proposed modifications significantly enhanced the agreement between observed and simulated data (Table 4). This improvement was more evident when rainfed crops experienced increasing levels of water stress (Fig. 4). In coincidence with this result, lower model accuracy was also assessed in France using the SOYGRO model under rainfed versus irrigated crops (Colson et al., 1995). The assessed 17% inaccuracy in yield prediction (RMSE, Table 4) is a fairly low error when using the revised CROPGRO to support decision making at an on-farm scale. In a more controlled on-farm experiment in the southern Argentinean Pampas, the original CROPGRO obtained higher simulation accuracy, although roughly similar compared to simpler local developed models (Calviño et al., 2003). Moreover, as in our study only the 8% of the RMSE was attributed to the simulation of average and standard deviation of paddocks yield (SB and SDSD, respectively, Table 4), the actual inaccuracy introduced will be reduced to less than 2% if the goal is centred in assessing the average and risk of yield for a set of paddocks and crop seasons (Kobayashi and Salam, 2000). Water balances of the soybean crop are frequently negative in the Pampas (Fig. 2). The modifications introduced to CROPGRO increased plant potential evaporation and downward root movement rates, achieving a good simulation of soil water dynamics either under supply or demand-limited conditions. Better biomass simulations under water stress were obtained by J.L. Mercau et al. / Field Crops Research 100 (2007) 200–209 incorporating a non-linear relationship between water stress and actual to potential gross photosynthesis. In the 155 crops simulated with the revised model, the water supply satisfied on average the 99.9% (range 95–100, median 100), 98% (range 62– 100, median 100) and 89% (range 50–100, median 92) of plant water demand from emergence to R1, R1–R5, and R5 to R7, respectively. The improvement of water routines has consequences for the prediction of water use efficiency (WUE) of soybean crops, expressed as the seasonal ratio of biomass production to evapotranspiration (WUE (B, T, s), Sinclair et al., 1984). WUE in CROPGRO is not a parameter of the model. It can be calculated from the crop evapotranspiration and biomass production, which, in turn, are simulated by complex model subroutines (Ritchie, 1998; Boote et al., 1998). Because of the increase in plant potential evaporation and downward root movement rate, the revised model tended to simulate a greater water use (557 79 mm) than the original one (499 72 mm). Besides, biomass prediction tended to be higher (6591 1201 kg ha 1, see Table 4) than in the original model (6277 1432 kg ha 1, see Table 4) as an effect of non-linearity between water stress and actual to potential gross photosynthesis. The average water use efficiency for the 155 simulated paddocks was lower when using the revised model (11.8 1.2 kg ha 1 m 1), compared to the output of the original model (12.5 2.0 kg ha 1 m 1). However, considering only those paddocks with simulated water stress higher than 10%, WUE were 6% higher with the revised model. Whereas the increase in potential plant evaporation reduces WUE when water supply is non-limiting, the non-linearity effect shifts it under limiting water supply conditions. Higher WUE values with increased water stress were assessed in wheat (Abbate et al., 2004) and alfalfa (Collino et al., 2005) by using an empirical regression model between relative water use and relative dry matter production. Ferreyra et al. (2003) found similar results using the PNUTGRO model in peanut with simultaneous optimization of water use and dry matter production. Liu et al. (2005) also obtained comparable outcomes in soybean during progressive soil drying at the whole plant level. Agronomic models can be used to complement historical weather data in order to assess the frequency distribution of expected yields for various cropping strategies (Ferreyra et al., 2001; Savin et al., 1995; Carberry et al., 2002). The revised CROPGRO resulted suitable for simulating the effects of different environments and management practices on soybean because of its high precision to predict on-farm yield and the acceptable simulation of crop phenology, biomass production and crop yield components (Tables 3 and 4, Figs. 3 and 4). Changes made to the water routines of the model, and the enhanced precision got in yield simulations, had important impacts on the evaluation of crop strategies as well. As an example, we simulated two different crop structures: (i) an early sowing date (10 October) with a short season genotype (DM 4800, MG IV) and (ii) a mid-season sowing date (10 November) with a full-season genotype (A6445, MG VI), at Oliveros ( 32.558 latitude, 60.858 longitude) in 33 climatic 207 Fig. 5. Cumulated probabilities of yield of an early sowing date (10 October, circles) with a short season genotype (Don Mario 4800, MG IV) and a midseason sowing date (10 November, triangles) with a full season genotype (A6445, MG VI), at Oliveros ( 32.558 latitude, 60.858 longitude) in 33 climatic scenarios corresponding to the 1971–2003 growing seasons, on a Typic Argiudoll soil with a heavy textural B horizon (for details see Mercau et al., 2004) simulated with the original (open symbols) and the revised model (closed symbols). scenarios corresponding to the growing seasons of the 1971– 2003 period, on a Typic Argiudoll soil with a heavy textural B horizon (see Mercau et al., 2004). When using the revised model, the distribution of soybean yields were similar in the lower 70%, in both scenarios (Fig. 5), with the early sowing date yields being clearly higher in the upper 30%. The original model simulated lower yields than the revised model simulation in most of the scenarios. These yield reductions were greater for the early season sowing date. Simulation with the original model could lead stakeholders to avoid early season sowing practices, whereas the revised model results support a combination of both strategies. Experimental results across three growing seasons (Bodrero et al., 2003; Méndez et al., 2004) support good performances of short season soybean in October sowing dates. In our study, after grouping paddocks by sowing dates, the revised model performance had similar yield prediction accuracy in October (RMSE = 491 kg ha 1, n = 53) and November (RMSE = 566 kg ha 1, n = 84) sowing dates. A lower risk in crop system strategy was attained by mixing both, early and mid-season sowing crops. Although the two individual strategies had similar risk levels, the poorer years were not the same (data not shown). The use of a model is only important when the simulated processes are the main determinants of crops yield variability. At present, extensive crops get out of the scope of the CROPGRO model when weeds, pests and diseases become an important on-farm yield determinant. Although we did not simulate 17 paddocks where scouting reports a moderate to severe disease intensity, they were less than 10% of the total sites scouted. The proliferation of soybean rust in the Pampas (SENASA, 2005) may preclude the use of CROPGRO in some crops if protection technologies do not adequately control 208 J.L. Mercau et al. / Field Crops Research 100 (2007) 200–209 disease proliferation or if a model of disease proliferation and damage like SOYRUST (Yang et al., 1991) is not included in crop simulation. The application of CERES maize (Jones and Ritchie, 1991) and Oilcrop-Sun (Villalobos et al., 1996) to simulate on-farm yield of maize (Mercau et al., 2001) and sunflower (Mercau et al., 2000) in the Pampas showed a similar level of accuracy as the revised CROPGRO-soybean. 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