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Estimated productivity of sugarcane through the Agro-Ecological Zone method

ABSTRACT

The estimate of the potential sugarcane productivity through agroclimatic models aids in the agricultural planning of the crops and the quantification of the yield for a given region. For these estimated values to be considered robust there is a need for validating the performance of such models in different areas and agricultural varieties. Hence, the aim of this study was to validate the Agro-Ecological Zone (AEZ) method with fifteen sugarcane varieties in the region of the Vale do São Patrício, state of Goiás, Brazil. We evaluated the data referring to the cane-plant (one-and-a-half-year sugarcane), as well as the first and second sugarcane ratoons (both with one-year cycles) in an irrigated and dry farming system. The productivities obtained in dry farming were corrected due to the occurrence of a water deficit in the crop. The results indicated that the AEZ method presented productivity estimates more satisfactory for the one-year cultivation cycles (ratoon cycles) for all varieties studied, with the model adjusting best to the CTC15 variety (RMSE = 8.70 t ha-1; MAE = 6.05 t ha-1; d = 0.99).

Keywords:
bioenergy; water deficit; water balance; agricultural planning; harvest forecast

INTRODUCTION

The enhancement of the sugarcane sector needs tools that aid in predicting yield in different regional scales, aiming at improving the productive process, collaborating with strategic decision-making throughout the harvest, and contributing with the continuity of development of the sector (Scarpari & Beauclair, 2009Scarpari MS & Beauclair EGF (2009) Physiological model to estimate the maturity of sugarcane. Scientia Agricola , 66:622-628.).

The use of prediction models that consider soil, climate, and plant parameters in the agrosystem modeling is recommended for sugarcane by some authors (see Oliveira et al., 2012aOliveira SD, Silva VPR, Santos CAC, Silva MT & Sousa EP (2012a) Os Impactos das alterações climáticas na cana-de-açúcar cultivada em Sistema de sequeiro na Região Nordeste do Brasil. Revista Brasileira de Geografia Física, 5:170-184.; Caetano & Casaroli, 2017Caetano JM & Casaroli D (2017) Sugarcane yield estimation for climatic conditions in the center of state of Goiás. Revista Ceres, 64:298-306.) as it allows reliable productivity estimates. The sugarcane production system is high affected by climatic conditions (Loarie et al., 2011Loarie SR, Lobell DB, Asner GP, Mu Q & Field CB (2011) Direct impacts on local climate of sugar-cane expansion in Brazil. Nature Climate Change, 1:105-109.; Marafon, 2012Marafon AC (2012) Análise quantitativa de crescimento em cana-de-açúcar: uma introdução ao procedimento prático. Aracaju, Embrapa Tabuleiros Costeiros. 29p. ; Oliveira et al., 2012aOliveira SD, Silva VPR, Santos CAC, Silva MT & Sousa EP (2012a) Os Impactos das alterações climáticas na cana-de-açúcar cultivada em Sistema de sequeiro na Região Nordeste do Brasil. Revista Brasileira de Geografia Física, 5:170-184.; Marin & Carvalho, 2012Marin FR & Carvalho GL (2012) Spatio-temporal variability of sugarcane yield efficiency in the state of São Paulo, Brazil. Pesquisa Agropecuária Brasileira, 47:149-156.). Among the climatic factors that determine sugarcane productivity are solar radiation, temperature, and water availability, which interfere with the accumulation of biomass at the stem (Inman-Bamber et al., 2002Inman-Bamber NG, Muchow RC & Robertson MJ (2002) Dry matter partitioning of sugarcana in Australia and South Africa. Field Crops Research, 76:71-84.).

Specifically, sugarcane shows satisfactory growth when grown in areas exposed to solar energy from 18 to 36 MJ m-2 d-1, photoperiod between 10 and 14 hours (Monteiro, 2012Monteiro LA (2012) Modelagem agrometeorológica como base para a definição de ambientes de produção para a cultura da cana-de-açúcar no estado de São Paulo. Dissertação de Mestrado. Escola Superior de Agricultura Luiz de Queiroz, Piracicaba. 116p.) and air temperature between 25 and 35 °C (Doorenbos & Kassam, 1979Doorenbos J & Kassam AH (1979) Yield response to water. Rome, FAO . 172p. ). The water demand for sugarcane is in the range of 1,500 to 2,500 mm evenly distributed during development (Doorenbos & Kassam, 1979Doorenbos J & Kassam AH (1979) Yield response to water. Rome, FAO . 172p. ).

There are several prediction models in the scientific literature used to estimate the productivity of sugarcane, such as CANEGRO (Thompson, 1976Thompson GD (1976) Water use by sugarcane. South African Sugar Journal, 60:593-600.), CANESIM (Singels & Donaldson, 1998Singels AK & Donaldson RA (1998) A simple model for unstressed canopy development. Proceeding of the South African Sugar Technology Association, 74:151-154.) and APSIM-Sugarcane (Bull & Tovey, 1974Bull TA & Tovey DA (1974) Aspects of modeling sugarcane growth by computer simulation. In: International Society Sugarcane Technologists 15, Durban. Proceedings, ISSCT. p.1021-1032.). One of the most employed agrometeorological models for harvest forecasting and widely used with sugarcane is the Agro-Ecological Zone method by Food and Agriculture Organization - FAO (Doorenbos & Kassam, 1979Doorenbos J & Kassam AH (1979) Yield response to water. Rome, FAO . 172p. ). This methodology stands out due to its low requirement of input data (e.g., meteorological and crop data), presenting results close to reality (Oliveira et al., 2012bOliveira RA, Santos RS, Ribeiro A, Zolnier S & Barbosa MHP (2012b) Estimativa da produtividade da cana-de-açúcar para as principais regiões produtoras de Minas Gerais usando-se o método ZAE. Revista Brasileira de Engenharia Agrícola e Ambiental, 16:549-557.) and having as a premise the absence of limitations in terms of the mineral nutrition of the plants and damages caused by diseases and, or, pests (Barbieri & Silva, 2008Barbieri V & Silva FC (2008) Adequação do Método da Zona Agroecológica (FAO) para estimativa do acúmulo mensal potencial de matéria seca da cana-de-açúcar (Saccharum spp.) e da produtividade agrícola para diferentes condições climáticas. Sociedade dos Técnicos Açucareiros e Alcooleiros do Brasil - STAB, 26:47-50.). However, the potential productivity estimated by this model may still be penalized by water deficit, optimizing the estimate of real productivity (Gouvêa et al., 2009Gouvêa JRF, Sentelhas PC, Gazzola ST & Santos MC (2009) Climate changes and technological advances: Impacts on sugarcane productivity in tropical Southern Brazil. Scientia Agricola , 66:593-605.).

The state of Goiás, Brazil, is the second leading national producer of sugarcane (Companhia Nacional de Abastecimento - Conab, 2020Companhia Nacional de Abastecimento - Conab (2020) Acompanhamento da safra brasileira de cana-de-açúcar. Available at: Available at: http://www.conab.gov.br . Accessed on: December 6th, 2020.
http://www.conab.gov.br...
) and presents a vast potential for the expansion of this crop. This is due to the lower cost of lands when compared to traditional areas of occupation of the crop (e.g., São Paulo), besides the suitable terrain, infrastructure, and average distance to the main consumer markets (Silva & Miziara, 2011Silva AA & Miziara F (2011) Avanço do setor sucroalcooleiro e expansão da fronteira agrícola em Goiás. Pesquisa Agropecuária Tropical, 41:399-407.). On the other hand, Goiás presents disadvantages compared to the state of São Paulo such as a more significant water deficit (Marin & Nassif, 2013Marin FR & Nassif DSP (2013) Mudanças climáticas e a cana-de-açúcar no Brasil: Fisiologia, conjuntura e cenário futuro. Revista Brasileira de Engenharia Agrícola e Ambiental, 17:232-239.; Araújo et al., 2016Araújo R, Alves Júnior J, Casaroli D & Evangelista AWP (2016) Variation in the sugar yield in response to drying-off of sugarcane before harvest and the occurrence of low air temperatures. Bragantia, 75:118-127. ), and difficulty in the adoption of varieties adapted to the edaphoclimatic conditions of the region (Campos et al., 2014aCampos PF, Alves Júnior J, Casaroli D, Fontoura PR & Evangelista AWP (2014a) Variedades de cana-de-açúcar submetidas à irrigação suplementar no cerrado goiano. Engenharia Agrícola, 34:1139-1149. , 2014bCampos PF, Alves Júnior J, Casaroli D, Fontoura PR, Evangelista AWP & Vellame LM (2014b) Response of sugarcane varieties to deficit irrigation in Brazilian Savanna. Water Resources and Irrigation Management, 3:31-36.).

In Goiás, the sugarcane varieties used commercially are still imported from breeding programs developed in other states, mainly São Paulo and Minas Gerais (Rede Interuniversitária para o Desenvolvimento do Setor Sucroalcooleiro - RIDESA, 2010Rede Interuniversitária para o Desenvolvimento do Setor Sucroalcooleiro (2010) Catálogo nacional de variedades “RB” de cana-de-açúcar. Curitiba, Ridesa. 136p.). According to the sugarcane varietal census conducted by the Instituto Agronômico de Campinas (IAC), the most cultivated variety in the state of Goiás is RB86-7515, representing 20.1% of the varieties planted in the region. This variety was launched in the late 90s and developed, therefore, in the pre-mechanized period of planting and harvesting. However, the census also indicated that new varieties (for example, CTC4) are being incorporated, which means that genetic diversification and more modern materials are entering the fields (Braga Júnior et al., 2019Braga Júnior RLC, Landell MGA, Silva DN, Bidoia MAP, Silva TN, Thomazinho Júnior JR, Silva VHP & Anjos IA (2019) Censo varietal IAC de cana-de-açúcar no Brasil - Safra 2017/18 e na região Centro Sul - Safra 2018/19. Campinas, Instituto Agronômico . 64p. (Boletim Técnico, 221).).

The hypothesis for the study is: i) the Agro-Ecological Zone method is suitable to estimate the productivity of the sugarcane cultivated in state of Goiás. The aim this study was to apply the Agro-Ecological Zone method in different sugarcane varieties cultivated in the Cerrado of Goiás under irrigated and dry systems to determine which varieties have their productivities better estimated for the region of study, given that the knowledge of such data contributes to the validation of the performance of this model. Also, we investigated which variety presented superior productivity for the studied conditions, seeking to identify which one shows the best suitability to the region's climate.

MATERIAL AND METHODS

The experiment was conducted with fifteen commercial sugarcane varieties, with the collection of productivity data referring to the harvest years of 2011/12 (cane-plant), 2012/13 (first sugarcane ratoon), and 2013/14 (second sugarcane ratoon). The experimental area was located in the municipality of Goinésia, GO, Brazil (15º12’S; 48º59’W; altitude of 580 m), which has a climate of type Aw according to Köppen, denominated savanna tropical and characterized by a dry winter (May-October) and rainy summer (September-April). The municipality presents an average annual rainfall of 1,519 mm. During the experiment, the average maximum and minimum air temperatures were 30.8 e 19.2 °C, respectively, and the average accumulated rainfall per harvest year was 1,136.7 mm (Figure 1). Plants were cultivated in Oxisol Hapludox, corresponding to a Red Yellow Latosol distrophic (Empresa Brasileira de Pesquisa Agropecuária - Embrapa, 2006Empresa Brasileira de Pesquisa Agropecuária - Embrapa (2006) Sistema brasileiro de classificação de solos. 2nd ed. Rio de Janeiro, Embrapa/SPI. 306p.).

Figure 1:
Maximum and minimum air temperatures and accumulated rainfall during the experiment, Goianésia, GO, Brazil.

For installation of the experiment the area was prepared 180 days before. Soil chemical and physical analysis was made in the layers: 0-0.5 and 0-0.60 m, respectively. For reach base saturation of 50%, dolomitic limestone was applied and incorporated with soil tillage (heavy harrow). Then, phosphate (P2O5) and gypsum were applied, 100 kg ha-1 and 2,250 kg ha-1, respectively, and incorporated with breaking of clods and with leveling disk harrow.

In sugarcane planting (April 29th, 2011) was applied 115 kg P2O5 (triple super phosphate) ha-1 and 0.05 kg ha-1 of Phipronil insecticide 800 WG in furrow (deep of 0.35 m), and used stalks with three vegetative buds in line. Then was applied irrigation depth of 40 mm to stimulate sugarcane growth.

In the harvest years of 2011/12 and 2012/13, the entire experimental area was irrigated with the objective of supplying 50% of the water need of the crop. For irrigation management, carried out with the aid of the Irriger® application, we used temperature and relative air humidity, solar radiation, and wind speed data stemming from an automatic meteorological station located 4.0 km from the experimental area. in the harvest year of 2013/14, the sugarcane was cultivated without the use of irrigation.

The replenishment of water was performed from a self-propelled irrigation bar of model Turbomaq 140/GSV/350-4RII, with an application range of 54 m, with a free span from the bar to the ground, varying between 1.0 - 4.0 m. We used the LDN Spray-type sprinkler with Senninger # 21 nozzles and 20 psi Senninger pressure regulator.

The experimental design used was of random blocks. The treatments consisted of fifteen commercial sugarcane varieties of distinct agronomic characteristics (Table 1), with four repetitions. The experimental parcels were composed of four lines, with 15 m of length and a spacing of 1.5 m (90 m2).

Table 1:
Agronomic information of sugarcane varieties used in the experiment

For the sugarcane productivity estimate, we used the Agro-Ecological Zone (AEZ) method - FAO Model (Doorenbos & Kassam, 1979Doorenbos J & Kassam AH (1979) Yield response to water. Rome, FAO . 172p. ):

P P = P P B P C L A I C R C C C M N D (1)

where PP is the potential productivity (t MS ha-1 d-1), PPBP is the gross photosynthetic yield of dry matter from a standard crop (t MS ha-1 d-1); CLAI is the correction of the leaf area index (for LAI < 5, CLAI = 0.0093 + 0.185 LAI - 0.0175 LAI²; and for LAI ≥ 5, CLAI = 0,5); CR is the correction for breathing losses (maintenance and growth), (for T < 20 °C, CR = 0.6; and for T ≥ 20 °C, CR = 0.5); CC is the correction for the harvested part of the crop, (sugarcane CC = 0.75); CM is the correction to consider the moisture of the harvested part (sugarcane CM = 0.8); and ND is the total period of the crop cycle (days).

The potential productivity of the second sugarcane ratoon was corrected due to the occurrence of a water deficit, thus obtaining an achievable productivity (PR, t ha-1 d-1):

P R = P P 1 - k y 1 - E T R E T c (2)

where ky is the factor of sensitivity to the water deficit of the crop in each development stage (adopting for sugarcane 0.75; 0.5; and 0.1 for the stages sprouting, establishment, and vegetative growth; crop formation; and maturation, respectively), ETR is the actual evapotranspiration (mm d-1), and ETc is the crop evapotranspiration (mm d-1). The ETc was obtained through the product of the reference evapotranspiration (ETo, mm d-1), determined using the Penman-Monteith method (Allen et al., 1998Allen RG, Pereira LS, Raes D & Smith M (1998) Crop evapotranspiration - guidelines for computing crop water requirements. Rome, FAO. 56p.), with the crop coefficient (Table 2).

Table 2:
Values for the sugarcane ratoon crop coefficient (Kc)

The ETR was obtained through the daily sequential water balance (Thornthwaite & Mather, 1955Thornthwaite CW & Mather JR (1955) The water balance. New Jersey, Drexel Institute of Technology. 104p. ). For the daily sequential water balance, we used the value of the available water capacity (AWC) equal to 71.47 mm, with this value having been obtained from physical-water analyses of the soil and Equation 3:

A W C = F C - P W P Z (3)

where FC is field capacity (cm3 cm-3), PWP is permanent wilting point (cm3 cm-3), and Z is average effective depth of the root system (mm) of the sugarcane varieties studied (Z = 600 mm).

The sugarcane harvest was performed mechanically, with the first cut occurring on September 7th, 2012, and the second and third cuts on September 13th, 2013, and October 16th, 2014, respectively. A crawler harvester (John Deere model 3510) was used and a transhipment truck with a high-flotation tire and a load cell device with a display positioned inside the truck cabin. The mass was determined from the harvest of each line. On the harvest date, ten industrialized cane stalks was collected for the determination of technological analyzis (Bidoia & Bidoia, 2008Bidoia MAP & Bidoia MAP (2008) Experimentação com cana-de-açúcar. In: Dinardo-Miranda LL, Vasconcelos ACM & Landell MGA (Ed.) Cana-de-açúcar. 1st ed. Campinas, Instituto Agronômico. p. 809-819.). These stalks were cut, and sent to the laboratory. To determine the chemical parameters, Consecana's methodology (Conselho dos produtores de cana-de-açúcar, açúcar e etanol do Estado de São Paulo - Consecana, 2006Conselho dos produtores de cana-de-açúcar, açúcar e etanol do Estado de São Paulo - Consecana (2006) Manual de Instruções. 5th ed. Piracicaba, Consecana. 112p.) was used.

We performed an analysis of variance (α=0.05) on the productivity data of the different varieties, considering the cane-plant and ratoon cycles and only the ratoon cycles, and comparing the means using the Tukey test at 5% error probability. The performance of the results of the AEZ method was tested from Pearson's correlation coefficient (r), the root-mean-square error (RMSE), the mean absolute error (MAE), and the Willmott’s agreement index (d). RMSE and MAE are used to measure the ability that numerical models have in reproducing reality, with values equal to zero indicating perfect simulation. As RMSE and MAE are little affected by outliers, they are considered precise and robust measures. Another advantage is that they have the same dimensions as the analyzed variable (Fox, 1981Fox DG (1981) Judging air quality model performance. Bulletin of the American Meteorological Society, 62:599-609.). Willmott’s agreement index expresses the quality of the adjustment (accuracy) which is related to the approximation of the estimated values in relation to those observed. Their values range from zero to 1 indicating no agreement and perfect agreement, respectively (Willmott, 1985). Also, we determined the error (E, %) among the observed (vo) and estimated (ve) values:

E % = v o - v e v o ∙100 (4)

RESULTS AND DISCUSSION

From the analysis of variance of the productivities, one may observe that the varieties did not statistically differ among themselves (p > 0.05) in terms of productivity, for all the cycles investigated.

Campos et al. (2014aCampos PF, Alves Júnior J, Casaroli D, Fontoura PR & Evangelista AWP (2014a) Variedades de cana-de-açúcar submetidas à irrigação suplementar no cerrado goiano. Engenharia Agrícola, 34:1139-1149. ) recommend the cultivation of varieties IAC91-1099 and CTC15 in a regime of supplementary irrigation, for the Cerrado region, for presenting satisfactory productivity and industrial yield. Silva et al. (2014Silva MA, Arantes MT, Rhein AFL, Gava GJC & Kolln OT (2014) Potencial produtivo da cana-de-açúcar sob irrigação por gotejamento em função de variedades e ciclos. Revista Brasileira de Engenharia Agrícola e Ambiental, 18:241-249.) assessed the agroindustrial productive potential of eight sugarcane varieties irrigated during two harvest years in the area of Jaú, SP, Brazil, and found that, among other cultivars, IAC91-1099 stood out positively in terms of productivity. In the second cut, the variety presented productivity over 115 t ha-1 for the one-year cycle.

The potential productivity values of sugarcane for the plant, first ratoon, and second ratoon cycles were estimated through the AEZ method and compared with the average productivities (Figure 2), and its performance was tested (Table 3).

Figure 2:
Relations among the productivities estimated by the Agro-Ecological Zone method and those observed for varieties CTC2 (a), CTC4 (b), CTC9 (c), CTC11 (d), CTC15 (e), CTC18 (f), IAC87-3396 (g), IAC91-1099 (h), IACSP94-2094 (i), IACSP94-2101 (j), IACSP95-5000 (k), RB867515 (l), RB92579 (m), RB966928 (n), and SP86-0042 (o) in the cane-plant cycle (□) and the first (∆) and second (●) cycles of sugarcane ratoon, Goianésia, GO, Brazil.

Table 3:
Coefficients of Pearson’s correlation (r), root-mean-square error (RMSE, t ha-1), mean absolute error (MAE, t ha-1), and Willmott’s agreement index (d) of the sugarcane cultivars for the cane-plant cycle and for the first and second cycles of sugarcane ratoon

The AEZ method overestimated the potential productivity values for the plant cycle (one-and-a-half-year sugarcane) in all varieties investigated, while for the ratoon cycles (one-year cycles), the estimated productivity values came close those observed in the field, with such data approximating the 1:1 line (Figure 2).

The variety that resulted in the most significant discrepancy in its productivity values estimated by the AEZ method was CTC18, presenting an RMSE of 100.32 t ha-1 and an MAE of 76.74 t ha-1. In turn, the data estimated for CTC15 were those that best fit (RMSE = 60.07 t ha-1 and MAE = 40.37 t ha-1) (Figure 2). This amplitude in the estimate observed from the calculation of the errors may not be interesting since it does not collaborate with decision-making in production processes. Despite the errors having been considered high, according to the Pearson coefficients the data estimated correlated satisfactorily with those observed and also presented performance varying from good to excellent according to Willmott's agreement index (Willmott et al., 1985). Such results reinforce the importance of evaluating the performance of the productivity estimation model in relation to the productivity data obtained in the field based on different statistical indices.

To determine if there was a significant difference between the productivity data estimated by the AEZ method and those observed, we performed the analyses of variance. We observed that the values observed did not statistically differ from those estimated (p > 0.05), thus corroborating with Willmott's agreement index.

Although it is a generic model, the AEZ method has been used in different studies as a sugarcane harvest forecasting tool (Marin & Carvalho 2012Marin FR & Carvalho GL (2012) Spatio-temporal variability of sugarcane yield efficiency in the state of São Paulo, Brazil. Pesquisa Agropecuária Brasileira, 47:149-156.; Gouvêa et al., 2009Gouvêa JRF, Sentelhas PC, Gazzola ST & Santos MC (2009) Climate changes and technological advances: Impacts on sugarcane productivity in tropical Southern Brazil. Scientia Agricola , 66:593-605.), presenting results of quite satisfactory estimates.

Marin & Carvalho (2012Marin FR & Carvalho GL (2012) Spatio-temporal variability of sugarcane yield efficiency in the state of São Paulo, Brazil. Pesquisa Agropecuária Brasileira, 47:149-156.) evaluated the performance of the sugarcane crop in the state of São Paulo, Brazil, through the potential productivity estimation model of AEZ and stated that such application may be used as a strategic tool in the agricultural sector, contributing for better taking advantage of the productive potential of the crop, given that it contributes to the definition of areas and varieties more suitable for a given region.

Although the analysis of variance, the Pearson coefficient, and the agreement index point to a reasonable adjustment of the model to the data, the values obtained by the AEZ method for the cane-plant cycle (one-and-a-half-year sugarcane) are overestimated (Figure 2), leading to the imprecision in the estimates. For the plant cycle, we found errors (Table 4) varying from 60.5% (CTC15 variety) to 151.6% (CTC18).

Table 4:
Error of the values estimated in relation to those observed (E, %) for the sugarcane cultivars for the cane-plant cycle and the first and second cycles of the sugarcane ratoon

Caetano & Casaroli (2017Caetano JM & Casaroli D (2017) Sugarcane yield estimation for climatic conditions in the center of state of Goiás. Revista Ceres, 64:298-306.) used the standard AEZ method with adjustments considering water deficit and productivity loss to estimate the productivity of sugarcane (cane-plant and cane-ratoon cycles) in Santo Antônio de Goiás (Goiás, Brazil). The results were also overestimated with RMSE and MAE ranging from 14.2 to 46.1 t ha-1 and 13.9 to 45.6 t ha-1.

One hypothesis to justify the overestimation of the productivity obtained by the AEZ method for the one-and-a-half-year sugarcane is the fact that the model considers the total period of the crop cycle in days and assumes that, in this period, the plant accumulates dry matter. However, in the phenological phase of maturation of sugarcane, an intense accumulation of dry matter does not occur because the rate of vegetative growth is little expressive compared to the other stages (Santos et al., 2015Santos CM, Silva MA, Lima GPP, Bortolheiro FPAP, Brunelli MC, Holanda LA & Oliver R (2015) Physiological changes associated with antioxidant enzymes in response to sugarcane tolerance to water deficit and rehydration. Sugar Tech, 17:291-304.). We emphasize that the duration of the maturation phase in the one-and-a-half-year sugarcane is of around sixty days, while in the one-year cycle this phenological phase is smaller, of approximately thirty days (Doorenbos & Kassam, 1979Doorenbos J & Kassam AH (1979) Yield response to water. Rome, FAO . 172p. ). Hence, the overestimations are more propitious to occur in the one-and-a-half-year sugarcane.

The vegetative growth of sugarcane is restricted in the maturation phase because the photoassimilate (sucrose) required for the expansion of the plant tissues is translocated to be stored in the stems. We stress that the natural maturation of sugarcane requires a water deficit and/or temperatures below 20 ºC (Cardozo & Sentelhas, 2013Cardozo NP & Sentelhas PC (2013) Climatic effects on sugarcane ripening under the influence of cultivars and crop age. Scientia Agricola, 70:449-456.).

Still, this overestimation was expected for both the cycles and may be associated with the fact that only the water deficiency is the limiting factor of productivity, not considering other factors that are important in determining the crop productivity such as diseases, pests, nutritional shortages, and improper management (Doorenbos & Kassam, 1979Doorenbos J & Kassam AH (1979) Yield response to water. Rome, FAO . 172p. ).

Therefore, we performed new statistical analyses considering only the ratoon cycles (one-year cycles), finding expressively smaller errors (%) (Table 4).

When performing the analyses considering only the sugarcane ratoon cycles, we found a better adjustment of the estimated values to those obtained in the field (Figure 3), obtaining better performance of the AEZ method (Table 5). Again, variety CTC15 obtained the best estimate value (RMSE = 8.70 t ha-1; MAE = 6.05 t ha-1), and the productivity estimate for CTC18 was the least satisfactory (RMSE = 32.12 t ha-1; MAE = 21.87 t ha-1). According to the agreement index (d), the AEZ method obtained excellent performance (d > 0.85) for the estimation of productivity for all varieties except CTC18, whose performance was very good (0.76 < d ≤ 0.85), according to Willmott et al. (1985Willmott CJ, Ackleson SG, Davis RE, Feddema JJ, Klink KM, Legates DR, O’donnell J & Rowe CM (1985) Statistics for the evaluation and comparison of models. Journal of Geophysical Research, 90:8995-9005).

Figure 3:
Relations among the productivities estimated by the Agro-Ecological Zone method and those observed for varieties CTC2 (a), CTC4 (b), CTC9 (c), CTC11 (d), CTC15 (e), CTC18 (f), IAC87-3396 (g), IAC91-1099 (h), IACSP94-2094 (i), IACSP94-2101 (j), IACSP95-5000 (k), RB867515 (l), RB92579 (m), RB966928 (n), and SP86-0042 (o) for the first (∆) and second (●) cycles of sugarcane ratoon, Goianésia, GO, Brazil.

Table 5:
Coefficients of the root-mean-square error (RMSE, t ha-1), mean absolute error (MAE, t ha-1), and Willmott’s agreement index (d) for the sugarcane cultivars for the first and second cycles of sugarcane ratoon

The analyses of variance of the estimated and observed productivities in the first and second ratoon cycles (both one-year cycles) indicated there was no significant difference between them, with the p-values being higher than the significance level adopted (p > 0.05). Hence, one may state that the AEZ method presented good results of estimated productivity for all sugarcane varieties investigated.

Oliveira et al. (2012bOliveira RA, Santos RS, Ribeiro A, Zolnier S & Barbosa MHP (2012b) Estimativa da produtividade da cana-de-açúcar para as principais regiões produtoras de Minas Gerais usando-se o método ZAE. Revista Brasileira de Engenharia Agrícola e Ambiental, 16:549-557.) studied the AEZ method for the macroregion of the Triângulo Mineiro, Brazil, for productivity data of plant and first-cut ratoon, isolatedly, finding that the AEZ method presented a satisfactory adjustment for the first ratoon cycle, explaining 89% of the variability of the data observed in the field. The accuracy of the method for the first ratoon (β = 0.90) and the precision (R² = 0.89) were superior to those for the cane-plant.

Barbieri & Silva (2008Barbieri V & Silva FC (2008) Adequação do Método da Zona Agroecológica (FAO) para estimativa do acúmulo mensal potencial de matéria seca da cana-de-açúcar (Saccharum spp.) e da produtividade agrícola para diferentes condições climáticas. Sociedade dos Técnicos Açucareiros e Alcooleiros do Brasil - STAB, 26:47-50.) adjusted the AEZ method to predict the monthly accumulation of dry matter of sugarcane considering the one-year cycle and verified a linear relation among the observed and estimated values with a determination coefficient (R2) equal to 0.9458.

CONCLUSION

For the cultivation conditions adopted, the sugarcane varieties did not show significant difference in productivity.

The Agro-Ecological Zone method may be recommended for the estimation of sugarcane productivity in the Cerrado region for all fifteen varieties studied, presenting, however, better results in cane fields with one-year cycles.

Considering the all fifteen varieties studied, the agrometeorological model of the Agro-Ecological Zone method estimated the sugarcane productivity of the Cerrado region more satisfactory for variety CTC15.

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Publication Dates

  • Publication in this collection
    26 Feb 2021
  • Date of issue
    Jan-Feb 2021

History

  • Received
    11 Feb 2020
  • Accepted
    15 Oct 2020
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