Acessibilidade / Reportar erro

Estimation of sediments produced in a subbasin using the Normalized Difference Vegetation Index

Estimativa dos sedimentos produzidos em uma sub-bacia usando o índice de vegetação por diferença normalizada

ABSTRACT

Among the parameters considered by the Revised Universal Soil Loss Equation (RUSLE), the soil cover and management factor (C) is the main human influenced factor affecting the estimation of water erosion, and one of the most sensitive to spatiotemporal variations. Consequently, this study aims to compare the efficiency of C factor estimates obtained from the literature for each land-use class (Clit) and by calculation based on the Normalized Difference Vegetation Index (CNDVI). We test the hypothesis that soil loss estimates based on CNDVI approach are more accurate than those based on Clit. Water erosion was estimated based on soil morphological, physical, and chemical properties in addition to climate, relief, management practices, and land use and cover. The modeling steps were realized with the help of the Geographic Information System. The results were validated using the data of total sediment transported with water discharge and daily runoff. RUSLE underestimated soil losses by 0.64 Mg ha-1 year-1 using Clit and 0.45 Mg ha-1 year-1 with CNDVI, which corresponds to errors of 21.05% and 14.80%, respectively. Therefore, the CNDVI factor results are more accurate. Both methodologies identified areas with high erosion rates where the adoption of mitigation measures should be prioritized.

Index terms:
Soil conservation; water erosion; modeling; RUSLE

RESUMO

Dentre os parâmetros considerados pela Equação Universal de Perda de Solo Revisada (RUSLE) a cobertura e manejo do solo (C) é o principal fator de influência humana na estimativa da erosão hídrica, e um dos mais sensíveis a variações espaço - temporais. Consequentemente, este estudo tem como objetivo comparar a eficiência das estimativas do fator C obtidas na literatura para cada classe de uso da terra (Clit) e por cálculo com base no Índice de Vegetação por Diferença Normalizada (CNDVI). Testamos a hipótese de que as estimativas de perda de solo com base na abordagem CNDVI são mais precisas do que aquelas baseadas no Clit. A erosão hídrica foi estimada com base nas propriedades morfológicas, físicas e químicas do solo, além de clima, relevo, práticas de manejo e uso e cobertura da terra. As etapas da modelagem foram realizadas com a ajuda do Sistema de Informações Geográficas. Os resultados foram validados utilizando os dados do sedimento total transportado com descarga de água e escoamento diário. RUSLE subestimou as perdas do solo em 0,64 Mg ha-1 ano-1 usando Clit e 0,45 Mg ha-1 ano-1 com CNDVI, o que corresponde aos respectivos erros de 21,05% e 14,80%. Portanto, os resultados do fator CNDVI são mais precisos. Ambas as metodologias identificaram áreas com altas taxas de erosão, onde a adoção de medidas mitigadoras deve ser priorizada.

Termos para indexação:
Conservação do solo; erosão hídrica; modelagem; RUSLE

INTRODUCTION

Uncontrolled water erosion is the main reason for soil degradation in tropical regions, with the potential to make large areas economically unproductive. The erosion process not only causes soil losses but also leads to many secondary environmental problems such as flooding, siltation, and water body pollution (Beskow et al., 2009BESKOW, S. et al. Soil erosion prediction in the Grande River Basin, Brazil using distributed modeling. Catena, 79(1):49-59, 2009.; Prasannakumar et al., 2012PRASANNAKUMAR, V. et al. Estimation of soil erosion risk within a small mountainous sub-watershed in Kerala, India, using Revised Universal Soil Loss Equation (RUSLE) and geo-information technology. Geoscience Frontiers , 3(2):209-215, 2012. ; Sun et al., 2014SUN, W. et al. Assessing the effects of land use and topography on soil erosion on the Loess Plateau in China. Catena , 21(1):151-163, 2014.).

A quantitative assessment of erosion is required to understand the range and magnitude of the process to determine effective mitigation strategies. However, measuring erosion rates is a complex task, particularly in rural areas of developing countries, due to the high cost of analyses and the long period required to detect trends (Prasannakumar et al., 2012PRASANNAKUMAR, V. et al. Estimation of soil erosion risk within a small mountainous sub-watershed in Kerala, India, using Revised Universal Soil Loss Equation (RUSLE) and geo-information technology. Geoscience Frontiers , 3(2):209-215, 2012. ; Anh et al., 2014ANH, P. T. Q. et al. Linkages among land use, macronutrient levels, and soil erosion in northern Vietnam: A plot-scale study. Geoderma, 234(1):352-362, 2014. ).

Moreover, soil loss quantification methods based on experimental plots have many limitations in terms of the representativeness and reliability of the results. Such methodologies cannot provide the spatial distribution of soil loss, and their application is often possible only in small areas (Chen et al., 2011CHEN, T. et al. Regional soil erosion risk mapping using RUSLE, GIS, and remote sensing: A case study in Miyun Watershed, North China. Environmental Earth Sciences, 63(3):533-541, 2011.). The use of water erosion modeling overcomes the limitations of direct measurement methods and allows the estimation of soil losses with a satisfactory level of accuracy. Moreover, these models are useful tools to increase our understanding of environmental processes and assist in decision-making (Panagos; Katsoyiannis, 2019PANAGOS, P.; KATSOYIANNIS, A. Soil erosion modelling: The new challenges as the result of policy developments in Europe. Environmental Research, 172(1):470-474, 2019.).

The Revised Universal Soil Loss Equation (RUSLE) is the most widely used in the world model and is relatively simple to apply with low data requirements (Prasannakumar et al., 2012PRASANNAKUMAR, V. et al. Estimation of soil erosion risk within a small mountainous sub-watershed in Kerala, India, using Revised Universal Soil Loss Equation (RUSLE) and geo-information technology. Geoscience Frontiers , 3(2):209-215, 2012. ; Ganasri; Ramesh, 2016GANASRI, B. P.; RAMESH, H. Assessment of soil erosion by RUSLE model using remote sensing and GIS - A case study of Nethravathi Basin. Geoscience Frontiers, 7(6):953-961, 2016.). The association of RUSLE with Geographic Information System (GIS) and remote sensing allows the assessment of spatial distribution of soil losses and the identification of areas with the most intense erosion rates (Cunha; Bacani; Panachuki, 2017CUNHA, E. R.; BACANI, V. M.; PANACHUKI, E. Modeling soil erosion using RUSLE and GIS in a watershed occupied by rural settlement in the Brazilian Cerrado. Natural Hazards, 85(2):851-868, 2017.; Imamoglu; Dengiz, 2017IMAMOGLU, A.; DENGIZ, O. Determination of soil erosion risk using RUSLE model and soil organic carbon loss in Alaca catchment (Central Black Sea region, Turkey). Rendiconti Lincei, 28(1):11-23, 2017.; Haidara et al., 2019HAIDARA, T. et al. Efficiency of Fuzzy Analytic Hierarchy Process to detect soil erosion vulnerability. Geoderma , 354(1):113853, 2019.).

RUSLE estimates annual average soil loss as a function of rainfall erosivity (R), soil erodibility (K), topographic factor (LS), soil cover and management factor (C), and conservation practices factor (P) (Renard et al., 1997RENARD, K. G. et al. Predicting soil erosion by water: A guide to conservation planning with the Revised Universal Soil Loss Equation (RUSLE). Washington: United States Department of Agriculture, 1997. 384p.). The C factor represents the protective effect of vegetation against the impact of rainfall on soil and is the main factor controlling anthropic erosion (Ouyang et al., 2010OUYANG, W. et al. Soil erosion dynamics response to landscape pattern. Science of The Total Environment, 408(6):1358-1366, 2010. ; Devátý et al., 2019DEVÁTÝ, J. et al. Effects of historical land use and land pattern changes on soil erosion - Case studies from Lower Austria and Central Bohemia. Land Use Policy, 82(1):674-685, 2019.). In addition, the C factor is one of the most sensitive parameters to spatiotemporal variations when it is influenced by vegetation growth and rainfall dynamics (Nearing et al., 2005NEARING, M. A. et al. Modeling response of soil erosion and runoff to changes in precipitation and cover. Catena , 61(2):131-154, 2005.).

Traditionally, the C factor is determined from a constant value found in the literature, which was obtained from experimental plots developed for different regions of a study area. This methodology cannot represent the spatial heterogeneity of soil vegetation cover (Almagro et al., 2019ALMAGRO, A. et al. Improving cover and management factor (C-factor) estimation using remote sensing approaches for tropical regions. International Soil and Water Conservation Research, 7(4):325-334, 2019.). To improve soil loss estimation, Durigon et al. (2014DURIGON, V. L. et al. NDVI time series for monitoring RUSLE cover management factor in a tropical watershed. International Journal of Remote Sensing, 35(2):441-453, 2014. ) developed an equation using the Normalized Differences Vegetation Index (NDVI) to determine the C factor.

In southeastern Brazil, several authors estimated soil losses using RUSLE based on C factor values obtained in the literature (Beskow et al., 2009BESKOW, S. et al. Soil erosion prediction in the Grande River Basin, Brazil using distributed modeling. Catena, 79(1):49-59, 2009.; Oliveira et al., 2014OLIVEIRA, V. A. et al. Soil erosion vulnerability in the Verde River Basin, southern Minas Gerais. Ciência e Agrotecnologia , 38(3):262 269, 2014. ; Mendes Júnior et al., 2018MENDES JÚNIOR, H. et al. Water Erosion in Oxisols under Coffee Cultivation. Revista Brasileira de Ciência do Solo, 42(1):1-14, 2018.; Tavares et al., 2019TAVARES, A. S. et al. Modeling of water erosion by the erosion potential method in a pilot subbasin in southern Minas Gerais. Semina: Ciências Agrárias, 40(2):555-572, 2019.), and there were a few NDVI-based approaches (Durigon et al., 2014DURIGON, V. L. et al. NDVI time series for monitoring RUSLE cover management factor in a tropical watershed. International Journal of Remote Sensing, 35(2):441-453, 2014. ; Silva et al., 2017SILVA, D. C. C. et al. Identificação de áreas com perda de solo acima do tolerável usando NDVI para o cálculo do fator C da USLE. Raega - O Espaço Geográfico em Análise, 42(1):72-85, 2017.). This study aims to compare the efficiency of the C factor estimation based on values obtained from the literature for each land-use class (Clit) and the C factor calculation based on NDVI (CNDVI). We test the hypothesis that the results of the soil loss estimates based on the CNDVI approach are more accurate than those based on the Clit.

MATERIAL AND METHODS

Study area

The research was carried out in the Coroado Stream subbasin, which belongs to the Rio Grande River basin. The area is in the municipality of Alfenas, Minas Gerais State, southeastern Brazil. According to Köppen, the climate is classified as mesothermal tropical (Cwb) with a mean annual rainfall of 1500 mm and a mean temperature of 22 °C (Alvares et al., 2013ALVARES, C. A. et al. Köppen’s climate classification map for Brazil. Meteorologische Zeitschrift, 22(6):711-728, 2013. ; Instituto Nacional de Meteorologia - INMET, 2019INSTITUTO NACIONAL DE METEOROLOGIA - INMET. Estações pluviométricas convencionais. Ministério da Agricultura, Pecuária e Abastecimento (MAPA), 2019. Available in: <Available in: http://www.inmet.gov.br/portal/index.php?r=bdmep/bdmep >. Access in: December, 10, 2019.
http://www.inmet.gov.br/portal/index.php...
).

The study area is 559.5 ha with altitudes ranging from 795 to 922 m, predominantly undulating relief, and an average slope of 13.54%. The slope map (Figure 1B) was constructed using the ArcMap 10.3 Slope tool (Environmental Systems Research Institute - Inc. - ESRI, 2015ENVIRONMENTAL SYSTEMS RESEARCH INSTITUTE - INC - ESRI. ARCGIS Professional GIS for the desktop version 10.3. Redlands, Califórnia, EUA, Software, 2015. Available in: <Available in: http://desktop.arcgis.com/en/arcmap/10.3/get-started/quick-start-guides/arcgis-desktop quick-start-guide.htm >. Access in: December, 10, 2019.
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) from the Digital Elevation Model (DEM, Figure 1A) extracted from the Minas Gerais state contour lines (Infraestrutura de Dados Espaciais do Sistema Estadual de Meio Ambiente e Recursos Hídricos - SISEMA, 2019INFRAESTRUTURA DE DADOS ESPACIAIS DO SISTEMA ESTADUAL DE MEIO AMBIENTE E RECURSOS HÍDRICOS - SISEMA. Curvas de nível do Estado de Minas Gerais. Belo Horizonte: IDE Sisema, 2019. Available in: <Available in: http://idesisema.meioambiente.mg.gov.br >. Access in: December, 10, 2019.
http://idesisema.meioambiente.mg.gov.br...
).

Figure 1:
Digital Elevation Model (A) Slope map with soil sampling locations (B) and Land use map (C) of the Coroado Stream subbasin, Alfenas, Minas Gerais, Brazil.

The soil was classified as Dystrophic Red Latosol (LVd), and the subbasin is occupied by coffee (36.45%), native and regenerating forest (34.85%), maize (11.71%), sugarcane (6.12%), eucalyptus (2.70%), access roads (3.27%), facilities (1.77%), and drainage (3.13%). The land use map (Figure 1C) was prepared using Landsat-8 Operational Land Imager (OLI) satellite imagery, which was obtained from Imaging Division (Instituto Nacional de Pesquisas Espaciais - INPE, 2019INSTITUTO NACIONAL DE PESQUISAS ESPACIAIS - INPE. Divisão de Geração de Imagens (DIDGI). Ministério da Ciência, Tecnologia, Inovações e Comunicações, 2019. Available in: <Available in: http://www.dgi.inpe.br/catalogo/ >. Access in: December, 10, 2019.
http://www.dgi.inpe.br/catalogo/...
), using bands 2, 3, and 4, orbit/point 219/75. Images taken between July 2018 and June 2019 were selected for the map, and image handling was performed in ArcMap 10.3 (ESRI, 2015ENVIRONMENTAL SYSTEMS RESEARCH INSTITUTE - INC - ESRI. ARCGIS Professional GIS for the desktop version 10.3. Redlands, Califórnia, EUA, Software, 2015. Available in: <Available in: http://desktop.arcgis.com/en/arcmap/10.3/get-started/quick-start-guides/arcgis-desktop quick-start-guide.htm >. Access in: December, 10, 2019.
http://desktop.arcgis.com/en/arcmap/10.3...
).

Revised Universal Soil Loss Equation (RUSLE)

The RUSLE model is expressed according to Equation 1 (Renard et al., 1997RENARD, K. G. et al. Predicting soil erosion by water: A guide to conservation planning with the Revised Universal Soil Loss Equation (RUSLE). Washington: United States Department of Agriculture, 1997. 384p.) as follows:

A = R K L S C P (1)

where A is the average annual soil loss in Mg ha-1 year-1, R is the rainfall erosivity factor in MJ mm ha-1 h-1 year-1, K is the soil erodibility factor in Mg h MJ-1 mm-1, LS is the dimensionless topographic factor (given by the relationship between the length (L) and inclination of the relief (S)), C is the dimensionless cover and management factor, and P is the dimensionless conservation practices factor.

The R factor reflects the effect of rainfall intensity on soil erosion, and its value is determined as a function of continuous rainfall data (Wischmeier; Smith, 1978WISCHMEIER, W. H; SMITH, D. D. Predicting rainfall erosion losses. A guide to conservation planning. 1.ed. Washington: United States Department of Agriculture . Supersedes Agriculture Handbook. 1978. 58p.). Due to the lack of precipitation data, the R factor was determined according to the multivariate geographic model for southeastern Brazil proposed by Mello et al. (2013MELLO, C. R. et al. Multivariate models for annual rainfall erosivity in Brazil. Geoderma , 203(1):88-102, 2013.) (Equation 2). The calculation was performed for each cell of the DEM (Figure 1A) using the ArcMap 10.3 Raster Calculator tool (ESRI, 2015ENVIRONMENTAL SYSTEMS RESEARCH INSTITUTE - INC - ESRI. ARCGIS Professional GIS for the desktop version 10.3. Redlands, Califórnia, EUA, Software, 2015. Available in: <Available in: http://desktop.arcgis.com/en/arcmap/10.3/get-started/quick-start-guides/arcgis-desktop quick-start-guide.htm >. Access in: December, 10, 2019.
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).

R = 399433 + 420.49 A 78296 L A 0.01784 A 2 1594.04 L A 2 + 195.84 L O 2 + 17.77 L O A 1716.27 L A L O + 0.1851 L O 2 A + 0.00001002 L O A 2 + 0.01364 L A 2 + 0.01364 L A 2 L O 3 (2)

where A is the altitude in meters, LA is the latitude, and LO is the longitude. Both LA and LO are in negative decimal degrees.

The K factor represents the susceptibility of the soil to erosion (Renard et al., 1997RENARD, K. G. et al. Predicting soil erosion by water: A guide to conservation planning with the Revised Universal Soil Loss Equation (RUSLE). Washington: United States Department of Agriculture, 1997. 384p.) and was determined from the physical and chemical attributes of the soil according to the indirect method of Silva et al. (1999SILVA, M. L. N. et al. Proposição de modelos para estimativa da erodibilidade de Latossolos brasileiros. Pesquisa Agropecuária Brasileira, 34(12):2287-9228, 1999.) (Equation 3).

K = 0.0477 0.00966 X 14 + 0.0163 X 16 0.0112 X 17 + 0.0185 X 18 0.0151 X 19 0.000246 X 22 0.000358 X 23 + 0.000147 X 24 0.000143 X 25 + 0.00326 X 26 0.00126 X 27 0.000229 X 31 + 0.000107 X 32 + 0.000269 X 34 (3)

where, X14 is the code of the hue of the moist soil according to Munsell (dimensionless), X16 is the structure degree code (dimensionless), X17 is the structure size code (dimensionless), X18 is the structure shape code (dimensionless), X19 is the soil plasticity code (dimensionless), X22 is the fine sand content dispersed in 0.1 mol L-1 NaOH (g kg-1), X23 is the very fine sand content dispersed in 0.1 mol L-1 NaOH (g kg-1), X24 is the silt content dispersed in 0.1 mol L-1 NaOH (g kg-1), X25 is the clay content dispersed in 0.1 mol L-1 NaOH (g kg-1), X26 is the very coarse sand content dispersed in water (g kg-1), X27 is the coarse sand content dispersed in water (g kg-1), X31 is the silt content dispersed in water (g kg-1), X32 is the clay content dispersed in water (g kg-1), and X34 is the flocculation index (dimensionless).

The K factor parameters were determined using soil samples collected in January 2019 at 18 points distributed in the subbasin area (Figure 1B). Disturbed and undisturbed soil samples were collected from the surface (0-20 cm) and subsurface (20-40 cm) layers using a probe and a cylinder sampler (92.53 cm³), respectively. The soil particle size distribution was determined by the pipette method, with and without 0.1 mol L-1 NaOH (Gee; Bauder, 1986GEE, G. W.; BAUDER, J. W. Particle-size analysis. In: KLUTE, A. Methods of soil analysis: physical and mineralogical methods. 2. ed. Madison: American Society of Agronomy, 1986. v.1, p.383-411.) and the flocculation index according to Empresa Brasileira de Pesquisa Agropecuária - Embrapa (2017EMPRESA BRASILEIRA DE PESQUISA AGROPECUÁRIA - EMBRAPA. Manual de métodos de análise do solo. 3. ed. rev. Brasília: Embrapa, 2017. 577p.).

The LS factor was calculated based on the DEM (Figure 1A) using Equation 4, proposed by Moore and Burch (1986MOORE, I. D.; BURCH, G. J. Physical basis of the length slope factor in the Universal Soil Loss Equation. Soil Science Society of America, 50(5):1294-1298, 1986. ) as follows:

L S = F A 10 22.13 0.4 sin ( S ) 0.0896 1.3 (4)

where FA is the flow accumulation expressed as the DEM grid cell number, S is the declivity of the subbasin in degrees, and the spatial resolution of the DEM is 10 m.

The C factor comprises the effects of vegetation cover on soil loss and ranges from 0 (high vegetation cover) to 1 (bare soil) (Oliveira et al., 2014OLIVEIRA, V. A. et al. Soil erosion vulnerability in the Verde River Basin, southern Minas Gerais. Ciência e Agrotecnologia , 38(3):262 269, 2014. ). We calculated the C factor using two approaches: based on the values presented in the literature for each subbasin land-use class (Clit) and based on NDVI (CNDVI) according to the methodology proposed by Durigon et al. (2014DURIGON, V. L. et al. NDVI time series for monitoring RUSLE cover management factor in a tropical watershed. International Journal of Remote Sensing, 35(2):441-453, 2014. ) as shown in Equation 5.

C N D V I = N D V I + 1 2 (5)

where CNDVI is the dimensionless soil cover factor. NDVI is a widely used indicator of vegetation health and ranges from -1 to +1, with higher values attributed to areas of higher plant density. The index was obtained using Equation 6 (Tucker, 1979TUCKER, C. J. Red and photographic infrared linear combination for monitoring vegetation. Remote Sensing of Environment, 8(2):127-150, 1979. ):

N D V I = N I R R E D N I R = R E D (6)

where NIR and RED are the near and red infrared spectral bands, respectively. The NDVI was calculated from the Landsat-8 OLI images used in the subbasin land use mapping, as previously described. To improve the representability of NDVI in the subbasin, we used the CNDVI factor average value obtained between June 2018 and July 2019.

The P factor value expresses the impact of soil conservation practices on erosion rates and ranges from 0 to 1, where values close to 0 indicate comprehensive soil conservation practices. We assign the P factor values based on the management practices adopted in the subbasin and on conducted field surveys (Bertoni; Lombardi Neto, 2012BERTONI, J.; LOMBARDI NETO, F. Conservação do solo. 3° edição, São Paulo: Ícone, 2012. 360p.). The P factor attributed to coffee was 0.5 due to the planting along the contour lines and the maintenance of spontaneous vegetation between the coffee lines. In the areas with cultivation of maize under conventional systems, uneven eucalyptus planting, and access roads with exposed soil, we attributed a P factor of 1, while a P factor of 0.01 was attributed to forests.

ArcMap 10.3 software (ESRI, 2015ENVIRONMENTAL SYSTEMS RESEARCH INSTITUTE - INC - ESRI. ARCGIS Professional GIS for the desktop version 10.3. Redlands, Califórnia, EUA, Software, 2015. Available in: <Available in: http://desktop.arcgis.com/en/arcmap/10.3/get-started/quick-start-guides/arcgis-desktop quick-start-guide.htm >. Access in: December, 10, 2019.
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) was used in the processing and modeling steps and to convert the parameters to a raster data format. Each pixel of the soil loss maps based on Clit and CNDVI was converted into 46.000 points using the ArcGIS 10.3 Raster to Point tool. Data of the CNDVI factor (X) were plotted against the Clit factor (Y), and a linear relationship was fitted to assess the deviation from a 1:1 slope.

Validation

Soil loss estimated by RUSLE includes both the soil fraction retained along the area and the fraction that reaches the water bodies (net erosion). Consequently, the integration of the model with the sediment delivery ratio (SDR) is necessary to determine the net erosion. The methodology proposed by Gavrilovic (1962GAVRILOVIC, S. A method for estimating the average annual quantity of sediments according to the potency of erosion. Bulletin of the Faculty of Forestry, 26(1):151-168, 1962.) (Equation 7) was used to calculate the SDR because of the satisfactory result obtained in our previous study (Lense et al., 2019LENSE, G. H. E. et al. Estimates of soil losses by the erosion potential method in tropical latosols. Ciência e Agrotecnologia , 43:e012719, 2019. ) in the same subbasin.

S D R = O D 0.5 0.25 L + 10 (7)

where O is the subbasin perimeter (9.28 km), D is the mean elevation difference (0.06 km), obtained by the difference between the mean altitude (861 m) and the minimum altitude (795 m), and L is the length of the subbasin measured from the watercourses (3.32 km).

The model validation was realized by combining RUSLE with the SDR to calculate the net erosion in the subbasin area. Thus, the results were compared to the annual sediment transported according to Beskow et al. (2009BESKOW, S. et al. Soil erosion prediction in the Grande River Basin, Brazil using distributed modeling. Catena, 79(1):49-59, 2009.). We used total solids data monitored between 2001 and 2018 by a hydrosedimentological station operated by the Minas Gerais Institute of Water Resources Management (IGAM), located at coordinates 45° 53′ 35″ W and 21° 39′ 55″ S).

A curve relating the total sediment transported in the subbasin and the water discharge (Figure 2) was plotted to determine the annual sediment transport, in relation to the flow versus sediment curve and the daily runoff data from 2018 obtained from the National Water Agency (Agência Nacional de Águas - ANA, 2019AGÊNCIA NACIONAL DE ÁGUAS - ANA. Sistema Nacional de Informações sobre Recursos Hídricos (SNIRH). Ministério do Meio Ambiente, 2019. Available in: <Available in: https://www.snirh.gov.br/hidroweb/publico/apresentacao.jsf >. Access in: December, 10, 2019.
https://www.snirh.gov.br/hidroweb/public...
).

Figure 2:
Water discharge curve (transported sediment versus water flow) of the Coroado Stream subbasin, Alfenas, Minas Gerais, Brazil.

RESULTS AND DISCUSSION

The subbasin soils exhibited the following characteristics: granular structure with a moderate degree and medium size, slight plastic consistency, and a basic hue of 2.5 YR. The clay content ranged from 41% to 59% (clayey texture). The K factor parameters are presented in Table 1. These characteristics provide a soil erodibility of 0.020 Mg h MJ-1 mm-1 for the subbasin Latosols, which were close to those found by Mendes Júnior et al. (2018) (0.040 to 0.026 Mg h MJ-1 mm-1) and Silva et al. (1999SILVA, M. L. N. et al. Proposição de modelos para estimativa da erodibilidade de Latossolos brasileiros. Pesquisa Agropecuária Brasileira, 34(12):2287-9228, 1999.) (0.002 to 0.034 Mg h MJ-1 mm-1).

Table 1:
Values of the variables involved in the indirect calculation of soil erodibility (K).

We observed a high R factor according to the Foster et al. (1981FOSTER, G. R. et al. Conversion of the universal soil loss equation to SI metric units. Journal of Soil and Water Conservation, 36(6):355-359, 1981.) classification, ranging from 6,730 to 7,769 MJ mm ha-1 h-1 year-1 (Figure 3A), which can be explained by the high rainfall intensity in the area (1,500 mm). These results are close to those found by Aquino et al. (2012AQUINO, R. F. et al. Spatial variability of the rainfall erosivity in southern region of Minas Gerais state, Brazil. Ciência e Agrotecnologia, 36(5):533-542, 2012.) for the same region, which found a range of 5,145 to 7,776 MJ mm ha-1 h-1 year-1, indicating a good accuracy for the erosivity factor calculated by Mello et al. (2013MELLO, C. R. et al. Multivariate models for annual rainfall erosivity in Brazil. Geoderma , 203(1):88-102, 2013.) in the Coroado Stream subbasin.

Figure 3:
Spatial distribution of Erosivity - R (A), Topographic factor - LS (B), and Cover and management factor (C).

The LS factor presents an average of 4.3, and only 11% of the subbasin showed values higher than 10, which indicates that these areas are more vulnerable to soil erosion (Beskow et al., 2009BESKOW, S. et al. Soil erosion prediction in the Grande River Basin, Brazil using distributed modeling. Catena, 79(1):49-59, 2009.; Oliveira et al., 2014OLIVEIRA, V. A. et al. Soil erosion vulnerability in the Verde River Basin, southern Minas Gerais. Ciência e Agrotecnologia , 38(3):262 269, 2014. ). Vulnerable areas were mainly concentrated in high-slope places with a higher runoff velocity process (Beskow et al., 2009BESKOW, S. et al. Soil erosion prediction in the Grande River Basin, Brazil using distributed modeling. Catena, 79(1):49-59, 2009.; Rodrigues et al., 2017RODRIGUES, J. A. M. et al. Estimativa da vulnerabilidade dos solos à erosão hídrica na bacia hidrográfica do Rio Cervo - MG. Geociências, 36(3):531-542, 2017.). The highest values of the LS factor are spatially distributed throughout the subbasin (Figure 3B), reinforcing the need for extensive management to reduce erosion. Similar results were observed by Oliveira et al. (2014OLIVEIRA, V. A. et al. Soil erosion vulnerability in the Verde River Basin, southern Minas Gerais. Ciência e Agrotecnologia , 38(3):262 269, 2014. ) and Steinmetz et al. (2018STEINMETZ, A. A. et al. Assessment of soil loss vulnerability in data-scarce watersheds in southern Brazil. Ciência e Agrotecnologia , 42(6):575-587, 2018. ), who analyzed the water erosion in southeastern and southern Brazil, respectively.

The CNDVI factor reflected the effect of vegetal cover density on the soil surface, indicating more comprehensive soil protection. Thus, we found lower CNDVI factor values in areas with higher soil protection, such as eucalyptus, native, and advanced stages of forests (Figure 3C). Areas with exposed soil such as access roads, early stages of forests, and maize cultivated under the conventional system present higher C factor values and, consequently, higher erosion rates. The Clit factor values are presented in Table 2.

Table 2:
Cover and management factor values obtained from the specialized literature.

RUSLE estimated the total soil loss at 11,235.54 and 11,670.00 Mg year-1 based on the Clit and CNDVI values, respectively. The SDR in the subbasin was 0.118, indicating that 11.8% of the eroded soil volume reaches water bodies contributing to siltation and water quality depreciation. This soil fraction corresponds to a net erosion of 1,280.85 and 1,377.02 Mg year-1 with averages of 2.40 and 2.59 Mg ha-1 year-1 based on Clit and CNDVI, respectively.

Both methods presented the highest rates of net erosion (> 10.0 Mg ha-1 year-1) in highly vulnerable sites based on the LS factor values (Figure 4). We found that using the Clit factor, 82% of the subbasin area presents low-intensity erosion (< 2.5 Mg ha-1 year-1) (Figure 4A), according to the classification by Beskow et al. (2009BESKOW, S. et al. Soil erosion prediction in the Grande River Basin, Brazil using distributed modeling. Catena, 79(1):49-59, 2009.). However, using the CNDVI factor, this ratio dropped to 66% (Figure 4B).

Figure 4:
Map of the spatial distribution of soil losses based on Clit (A) and CNDVI (B) factors in the Coroado Stream subbasin, Alfenas, southern Minas Gerais, Brazil. Notes: Clit = C factor based on literature data; CNDVI = C factor based on NDVI data.

The sediment generation calculated based on the IGAM hydrosedimentological station was 3.04 Mg ha-1 year-1. Comparing this value with the results, RUSLE underestimated soil losses by 0.64 Mg ha-1 year-1 using Clit and 0.45 Mg ha-1 year-1 with CNDVI, which corresponds to errors of 21.05% and 14.80%, respectively. According to Pandey, Chowdary and Mal (2007PANDEY, A.; CHOWDARY, V. M.; MAL, B. C. Identification of critical erosion prone areas in the small agricultural watershed using USLE, GIS and remote sensing. Water Resources Management, 21(4):729-746, 2007. ), errors smaller than 20% are considered tolerable. Therefore, only CNDVI based estimates could be validated for the Coroado Stream subbasin. Almagro et al. (2019ALMAGRO, A. et al. Improving cover and management factor (C-factor) estimation using remote sensing approaches for tropical regions. International Soil and Water Conservation Research, 7(4):325-334, 2019.) obtained a similar result with errors of 13% using CNDVI and 20% using Clit, demonstrating the higher efficiency of the CNDVI factor compared to the traditional method.

In addition to the more accurate results, another advantage of the approach is the use of remote sensing data, which allows the vegetation cover to be estimated anywhere with satellite coverage. There is a lack of C factor values in the literature. In contrast, satellite images with an adequate spatiotemporal resolution for the erosion model are available free throughout the Brazilian territory through the Imaging Division (INPE, 2019INSTITUTO NACIONAL DE PESQUISAS ESPACIAIS - INPE. Divisão de Geração de Imagens (DIDGI). Ministério da Ciência, Tecnologia, Inovações e Comunicações, 2019. Available in: <Available in: http://www.dgi.inpe.br/catalogo/ >. Access in: December, 10, 2019.
http://www.dgi.inpe.br/catalogo/...
), making it possible to estimate the C factor and soil loss at different scales (Almagro et al., 2019ALMAGRO, A. et al. Improving cover and management factor (C-factor) estimation using remote sensing approaches for tropical regions. International Soil and Water Conservation Research, 7(4):325-334, 2019.).

Considering the land use and occupation classes, we found different erosion rates by the different C factor calculation approaches (Table 3).

Table 3:
Land use and occupation classes and erosion rates estimated by the Revised Universal Soil Loss Equation in the Coroado Stream subbasin, Alfenas, Minas Gerais, Brazil.

The CNDVI factor is calculated cell by cell in a GIS, which enables a more representative result of the heterogeneity of vegetation cover in the area. Based on the deviation from a 1:1 relationship, we found that, in general, the Clit factor overestimates the soil loss estimates compared to those using the CNDVI factor (Figure 5). The clearest example of this overestimation is that the lowest soil loss value calculated for the access roads by the CNDVI factor is 5.20 Mg ha-1 year-1 while the corresponding Clit factor is 18.67 Mg ha-1 year-1.

Figure 5:
Comparison between soil losses based on Clit (A) and CNDVI (B) factors in the Coroado Stream subbasin, Alfenas, southern Minas Gerais, Brazil. Notes: Clit = C factor based on the literature data; CNDVI = C factor based on NDVI data.

The Clit factor considered the static value of 1 for the access roads, representing the absence of vegetation in these areas, which increases the soil loss rates. However, the access roads in coffee often have low agricultural machinery traffic and are occupied by spontaneous vegetation or grass growth, which was observed in the Coroado Stream subbasin (Figure 6). Consequently, the CNDVI factor results are closer to the actual subbasin vegetation cover. In the case of access roads, the vegetation present in the area can mitigate the soil erosion process resulting in low soil loss estimates. Moreover, the CNDVI factor can provide a better vegetation cover estimation in forested areas in different stages of regeneration, which provide distinct levels of soil protection.

Figure 6:
Access roads in the coffee areas of the Coroado Stream subbasin, Municipality of Alfenas, southern Minas Gerais, Brazil.

Regardless of the methodology used to determine the C factor, the RUSLE results indicated high soil losses in some subbasin areas (Figure 3). Some alternatives to reduce water erosion would be the introduction of practices that improve soil cover in the areas of maize and sugarcane, such as the adoption of no-till systems and the management of plant residues. Terracing in the eucalyptus areas under uneven planting and the construction of containment basins around the access roads located on steep reliefs could also help to control the erosive process (Bertoni; Lombardi Neto, 2012BERTONI, J.; LOMBARDI NETO, F. Conservação do solo. 3° edição, São Paulo: Ícone, 2012. 360p.; Mendes Júnior et al., 2018MENDES JÚNIOR, H. et al. Water Erosion in Oxisols under Coffee Cultivation. Revista Brasileira de Ciência do Solo, 42(1):1-14, 2018.).

Additionally, to reduce soil losses to a minimum rate along the subbasin area, the conservation practices already in place should be maintained and intensified to ensure the long-term sustainability of agricultural production.

The subbasin presented high erosivity, constant erodibility, and steep slopes distributed throughout the area. Consequently, vegetation cover and soil management (C and P factors) are the main factors responsible for the variations in water erosion, especially in the places where LS factor indicated high vulnerability to the erosive process.

CONCLUSIONS

Soil loss estimates generated by RUSLE based on the determination of the C factor from NDVI were more accurate than the results based on the C factor obtained from the literature data, with errors of 14% and 21%, respectively. However, both methodologies indicated that the Coroado Stream subbasin represents areas with high erosion rates, where the adoption of mitigation measures for water erosion should be prioritized.

ACKNOWLEDGEMENTS

The authors thank the Fundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG) for the scholarship offered to the first author. Ipanema Agrícola S. A. is gratefully acknowledged for funding the research and conceding the study area. This study was funded in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES) - Finance Code 001

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Publication Dates

  • Publication in this collection
    08 June 2020
  • Date of issue
    2020

History

  • Received
    20 Dec 2019
  • Accepted
    12 May 2020
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