Soil Erosion Calculation using Remote Sensing and GIS in Río Grande de Arecibo Watershed, Puerto Rico

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Soil Erosion Calculation using Remote Sensing and GIS in Río Grande de Arecibo Watershed, Puerto Rico Alejandra M. Rojas González Department of Civil Engineering University of Puerto Rico at Mayaguez. Urb. Ramírez Arellano, Calle Vizcarrondo #28, Mayagüez, PR. 00680 alejandra_rojaspr@yahoo.com Abstract Sediment production estimates from watersheds are very important, because these sediments decrease the lake capacity, to impact the ecosystems in the bays and the water quality. So is necessary locate the areas potentials in the watershed where exist major erosion and to establishment a program to watershed management. Soil erosion assessment is a capital-intensive and time-consuming exercise. A number of parametric models have been developed to predict soil erosion at drainage basins, yet Universal Soil Loss Equation (USLE) (Wischmeier and Smith, 1978) is most widely used empirical equation for estimating annual soil loss from agricultural basins. While conventional methods yield pointbased information, Remote Sensing (RS) technique makes it possible to measure hydrologic parameters on spatial scales while GIS integrates the spatial analytical functionality for spatially distributed data. This work uses the USLE equation to calculate and evaluate these zones in Puerto Rico, basically in Río Grande de Arecibo basin. Some of the inputs of the model such as cover factor and conservation practice factor can also be successfully derived from remotely sensed data. The LS factor map was generated from the slope and aspect map derived from the DEM. The K factor map was prepared from the soil map, which was obtained from SURGO data and K factor values from a Soil Survey of United States and Virgin Islands (1998). Maps covering each parameter (R, K, LS, C and P) were integrated to generate a composite map of erosion intensity based on the advanced GIS functionality. Keywords: Remote sensing, USLE equation, GIS, soil erosion. Introduction Problems associated with soil erosion, movement and deposition of sediment in rivers, lakes and estuaries persist through the geologic ages in almost all parts of the earth. But the situation is aggravated in recent times with man's increasing interventions with the environment. At present, the quality of available data is extremely uneven. Land use planning based on unreliable data can lead to costly and gross errors. Soil erosion research is a capital-intensive and time-consuming exercise. Global extrapolation on the basis of few data collected by diverse and nonstandardized methods can lead to gross errors and it can also lead to costly mistakes and misjudgments on critical policy issues. In this case study, GIS functionality was extensively utilized in the preparation of erosion map. The Río Grande de Arecibo River discharges to the Dos Bocas Lake and it s one of the most important reaches to water supply to lake. This Basin is influenced by the man development and the soil erosion and sediment transport to the lake decrease your capacity. Scientific management of soil, water and vegetation resources on watershed basis is, very important to arrest erosion. Remote sensing provides convenient solution for this problem. Further, voluminous data gathered with the help of remote sensing techniques are better handled and utilized with the help of Geographical Information Systems (GIS).

II. Objectives of the Study The hypothesis of this work is to predict the soil erosion quantity due to rainfall drops impact in a specific watershed. The Universal Soil Loss Equation (RUSLE) from NRCS will be used. Additionally with LandSat 7 ETM+ satellite image and Geographical Information Systems to obtain a spatial distribution of soil erosion. III. Methods Soil loss is defined as the amount of soil lost in a specified time period over an area of land which has experienced net soil loss. It is expressed in units of mass per unit area (Ton ha-1 y-1) It includes the different components to obtain and calculate for the final computation of the soil erosion in Rio Grande de Arecibo. IV. Study Area The study was carried out at the basin of the Rio Grande de Arecibo River (Figure 2) in the north of Puerto Rico. It is located between 300 25' 3.33" N to 300 35' 13.71" N latitude and 770 22' 34.75" E to 770 39' 42.31" E longitude. The total area drained by the river Bata being 268.6769 km2. The river basin has a sub-continental mountain type of sub-tropical monsoon climate with moderately warm to hot summers, high monsoon rains and a cool to cold winter season. This paper uses the USLE (Universal Soil Loss Equation) to predict annual soil loss from agricultural lands. The USLE can be expressed as follows: A = R K L S C P (1) Where A is the computed soil loss per unit area, expressed in the units selected for K and the period selected for R. R is the rainfall and runoff factor. K is the soil erodibility factor. L is the slope-length factor. S is the slope-steepness factor. C is the cover and management factor. P is the support practice factor where here was assumed to be one. Figure 1, shows a schematic about the general methodology used in this work. Study Basin Figure 2.Study Area, Río Grande de Arecibo Basin V. Calculation of the RUSLE Factors Modified LS factor Using the DEM (Digital Elevation Model) with 30 meters of spatial resolution for the study area, the L*S factor was calculated using: LS = L/22(0.065+ 0.045* S + 0.0065* S 2 (2) L = Slope length (m) fixed to 30 meters. S = Slope steepness (radians). Figure 1. General Methodology

The LS factor map was created from the DEM and calculating a slope grid first to obtaining in each pixel a value of LS. (Figure 3). The terrain elevation are 0 to 1397 m. was classified into eight land use/ cover classes namely Dense Forest, Moderate Forest, Grass Land, Soil without vegetation, cities and Clouds, because the LandSat 7 ETM+ had some clouds in study area. To validation the classification a NDVI was generated for the study area... Figure 3. Arecibo Slope Grid and Arecibo LS Factor. C Factor The vegetation cover has a big impact in the erosion. The land cover intercepts the rainfall, increase the infiltration and reduce the rainfall energy. The land cover is the parameter more influenced by the hand man and your impact increase the erosion. The C factor depends of the land cover and a LandSat ETM, August 2004 with resolution 30 m was used in C factor calculation. The image was processed with a no supervised classification to prepare the land use/ cover map of the study area. In this study, best results were obtained from K means classifier with 5 iterations. Using this classifier, the river basin Figure 4. LandSat 7 ETM+ (left), NDVI (right) and K Means Classification images from Arecibo, Puerto Rico. The values assigned to each classification were obtained from Essa, 1997 and Ogawa, 1997. In the Table 1 the percent of area from the classification and the C factors.

Table 1. Classification Area Percent and C Factors Class Name Area Percent C Factor Water Body 12.292% 0 Rivers or Deep Zones 6.486% 0.027 Dense Vegetation 20.362% 0.002 Medium Forest 21.304% 0.006 Grass 13.017% 0.12 Soil without Vegetation 19.405% 0.44 City 5.159% 0.85 Clouds 1.974% 0 With the values above can be generated the grid with the C Factor for Arecibo showed in the Figure 5. Table 2. K values for different soil textures Textural class Fine sand Very fine sand Loamy sand Loamy Very fine sand Sandy loam Very fine sandy loam Silt loam Clay loam S Clay Organic matter content (%) 0.5 2.0 4.0 0.16 0.42 0.12 0.44 0.27 0.47 0.48 0.28 ilty clay loam 0.37 0.25 0.14 0.36 0.10 0.38 0.24 0.41 0.42 0.25 0.32 0.23 0.10 0.28 0.08 0.30 0.19 0.33 0.33 0.21 0.26 0.19 Figure 5. C Factor Grid for Arecibo. K Factor The K factor represents the soil susceptibility to the erosion, the sediment transportability and the runoff quantity and rate. The K factor map was prepared from the soil map, which is obtained from SURGO digital data base. And the soils were classified using previous studies done at Geo-Science Division, IIRS, Dehradun, using the values given in Tables 2. Was assumed 2% organic matter for the soils. The Figure 6 shows the grid for the K Factor. Figure 6. Arecibo Basin Grid for K Factor. Modified R Factor The modified R Factor depend of the rainfall quantity and a formula developed by Arnoldus 1997, which uses only average monthly (p) and the annual precipitation (P), was used instead. The relationship (in metric units) was: 2 R = 1.735 * 10 log p 0. 8188 (3) P

The annual and monthly precipitation was recovery from 8 stations in the study area for the year 2004 and R Factor was calculated for each one. Then with these values was generated R factor Grid map. The Figure 7 show the monthly precipitation in the year 2004 for the 8 stations and the mean annual precipitation and the R Factor calculated. Estaciones Pluviometricas en el Area de Arecibo 160 Lluvia (mm) 140 120 100 80 60 Rio Arecibo ABV Utuado Rio Arecibo BLW Utuado Rio Pellejas ABV Central Pellejas RIO VIVI BLW HACIENDA EL PROGRESO RIO CAONILLAS BLW LAGO CAONILLAS TUNNEL RIO JAUCA AT PASO PALMA 40 RIO GR ARECIBO NR ADJUNTAS 20 RIO CA ONILLA S AT PA SO PA LMA 0 Jan, 2004 Mean Feb, 2004 March, 2004 April, 2004 May, 2004 Jun, 2004 Jul, 2004 Mes Aug, 2004 Sep, 2004 R Factor 43.14 35.30 51.58 36.95 43.88 34.98 50.78 37.61 49.25 36.08 51.16 39.20 53.23 36.89 56.52 39.45 Figure 7. Precipitation Data and R Factor. Preparation of Erosion Map All the factor maps of R, K, LS and C were integrated to generate a composite map of erosion intensity. The Figure 8 shows the final product for Río Grande de Arecibo Basin to Dos Bocas Lake. This result was validated with the Average Annual Soil Erosion by Water on Cultivated Cropland as a portion of the tolerable rate, 1997. This study shows one value of soil erosion average for Puerto Rico, this value around between 2 to 4 ton/hec/year. Oct, 2004 Nov, 2004 Dec, 2004 Figure 8. Final Product with the erosion in the basin in Ton/year. Conclusions The statistics of the soil loss map have a mean of 1.903 ton/year and a standard deviation of 3.249 ton/year. The values obtained are annual average, so it s important calculate a map the soil erosion with the maximum precipitation, because in the 2004 year found a precipitation 3 times biggest than the mean annual precipitation. So the soil erosion could be increase considerably. This methodology can be applied to the island and small basins. The application of Remote Sensing Images is useful to approximate the land cover of a basin. References Essa, S. 2000. GIS Modelling of Land Degradetion in Northern-Jordan using LanSat imagery. Geology Department, UAE University, Al-Ain, UAE. Mohamed, M. Aggarwal, S., 1997. Application of Remote Sensing and GIS on soil erosion assessment at Bata River Basin, India. ACRS 1997 Proceedings.

Ogawa, S. Saito, G. et al. 1997. Estimation of Soil Erosion using USLE and Lansat TM in Pakistan. ACRS 1997 Proceedings. Samad, R., Abdul, N. 1997. Soil Erosion and Hydrological Study of the Bakun Dam Catchment Area, Sarawak Using Remote Sensing and Geographic Information System (GIS). ACRS 1997 Proceedings.