1. Introduction
The Uruguayan territory is comprised entirely within the Río de la Plata grassland region1, which has been grazed by domestic herbivores for more than 400 years2. However, in recent years the traditional use of land has changed in some areas of Uruguay due to the development of the forestry sector, which has been increasing the area driven by specific laws (Forestry Law No. 15,239, December 1987)3. In the 1990-2009 period, the area of forests planted with rapidly developing species, mainly eucalyptus and pine, went from 45,000 hectares to approximately 1,000,000. On the other hand, since forest priority soils cover an area of 3.6 million hectares and the forest industry is in full development with the installation of plants for the production of cellulose pulp and sawmills, it is expected an even greater increase in the area allocated to this item4. Most of the forested area corresponds to the genuses Eucalyptus (69%) and Pinus (27%). Within the latter, the most widely used species in Uruguay is Pinus taeda, which is currently located in the provinces of Tacuarembó, Rivera and Paysandú5.
The increase in the area destined to forest plantations supposes a change in the use of the land that, in different spheres (State institutions, private sectors and civil society organizations), raises concerns and questions related to the impact of these plantations on the environment6)(7, since they generate transformations of large areas that can favor erosive processes linked to the surface circulation of water8. In the same sense, Ward and Trimble9 maintain that these anthropic changes produced in the ecosystem can have considerable repercussions on the local water balance. Furthermore, Hewlett and others10; López and Blanco11; Daniel and others12; Spurr and Barnes13, and Huber and Oyarzún14 maintain that the presence of the forest changes the redistribution of rainwater, since the amount of water and its distribution in the soil are modified. Given this situation, it is essential to have tools that allow the estimation of soil erosion, taking into account the water balance of the soil in order to predict the amount of water that flows above and below the soil surface, considering the layer-water storage capacity of the same. In this sense, the wepp model is one of the most used tools to simulate erosion and sediment production, and its validation is necessary for the productive conditions in Uruguay.
The objective of this article is to validate the water balance component of the wepp model for afforestation and natural pasture situations in northeast Uruguay.
2. Materials and Methods
2.1 Study site
The study was carried out in a basin forested with Pinus taeda and one with natural pasture located in “La Corona” forest establishment, Tacuarembó, Uruguay (31º38’09’’S, 55º41’48’’W). The topography of the basins is characterized by an undulating landscape with rocky hills that stand out from bahop and sandstone. The generating material of the soils are aeolic and silicified sedimentary sandstones from the Tacuarembó Unit15)(16)(17)(18. According to analytical data, the soil corresponds to a Typic Haplu-dult, as per Soil Taxonomy19, with variations in the sequence of horizons in its profile. Due to these differences, three monitoring points were taken that correspond to three topographic positions: high slope (profile C), middle slope (profile D), and low slope (profile F).
A Pinus taeda forest was implanted on the Typic Hapludult in one of the basins under study. The technique used for its implementation was to till one third of the area to be afforested using a 4 by 2.5 m planting frame and a density of 1000 trees/ha.
2.2 Measurements
Daily meteorological information (air temperature, relative humidity, rainfall, wind speed and direction, and solar radiation) was obtained through an automatic measurement system (Campbell Scientific cr 10X, Logan, ut, usa) at a weather station nearby to the stand.
The water content in the soil was monitored by neutron thermalization in three topographic positions (high, medium and low) to a depth of 1.3 m, in sections of 0-15, 15-30, 30-50, 50-70.70-90.90-110 and 110-130 cm. In each of the topographic positions, three access pipes were installed in the natural pasture basin and in the row and inter-row of plantation in the forested basin, respectively. The measurements were carried out four times a year during the 2003-2009 period.
Probe calibration was performed by taking soil samples under a wide range of soil water content conditions, and recording the bead ratio readings on the probe.
At the end, undisturbed soil samples were taken from the same depths and the soil water content was determined. Subsequently, the number of counts read on the probe, normalized to a reference value (number of backscattered neutrons within the shield), was related to the moisture content of the soil, for which a regression line was adjusted for different soil layers of the three profiles under consideration (Figures 1, 2 and 3).
2.3 WEPP entries
The wepp hillside model version 2012.800 was used in this study. This model requires four databases: climate, topography, soil and crop management20.
2.4 Climate database
For the elaboration of the climate file in WEPP, the climate generator BPCDG (Breakpoint data) was employed using the climatic data of radiation, temperature, dew point, wind speed and direction, relative humidity and precipitation in the Tacuarembó province from 2003 to 2009.
2.5 Topography database
For the generation of the topography database, the slope was divided into equal parts, to which a percentage of slope was assigned that varies within a range for each profile according to what was observed in pasture. The assigned slope ranges were 12-15% for profile C, 6-12% for profile D and <5% for profile F.
2.6 Soil database
The characteristics of the profiles that occupy different topographic positions on the slope are presented in Tables 1, 2 and 3.
In the soil database, a division was made between the soil profiles where Pinus taeda was implanted and those found in the interfile with natural pasture. The fact of having worked only the portion of soil where Pinus taeda was to be implanted caused the loss of part of horizon A. To simulate this loss of soil, the upper 20 cm of horizon A were removed from the three profiles corresponding to the row of Pinus taeda. This division in the database leads to two surface flow elements. For the natural pasture basin no changes were made to the soil profile data.
2.6 Management database
The default values for wepp were used in the “Forest Perennial” and “Short grass praire” databases, with the exception of radiation use efficiency (ber), cardinal temperatures for Pinus taeda, rooting depth, and foliar area index (iaf). In the case of the rooting depth for natural pasture, no modifications were made, but for Pinus taeda, variations were used according to the profile under consideration, reaching the upper part of the argilluvic horizon. Table 5 presents the values of the parameters that were modified in the management database mentioned above.
The data of these parameters were taken from investigations carried out for regional conditions, which allow the model to perform a simulation of Pinus taeda growth similar to that observed.
For the natural pasture situation, since it is a community of species that coexist in space and time, it is difficult to have a single value of some parameters, such as cardinal temperatures. Given the dominant soil type in this basin, there is a wide predominance of summer species, and for this reason, Paspalum dillatatum was considered the dominant species. Bibliography data were used to simulate the biomass production of the natural pasture (Table 4).
2.7 Validation of the Water Balance
The efficiency coefficient25 was used, by means of which the observed data are compared with those simulated by the model according to the following equation:
Where E is the efficiency of the model, Qi represents the observed value of event i, Qsim, is the simulated value of event i, and Q (Q bar) is the mean of the observed values.
To validate the model, the linear regression was estimated, considering the intercept and the slope of the regression line, taking a significance level of 0.05.
In addition, the coefficient of determination (cd) proposed by Tedeschi26 was taken into account, according to the following equation:
where CD is the coefficient of determination, Yi is the ith observed value, Y (Y bar) is the average of the observed data and ƒ(X1, ..., Xp) are the values estimated by the model.
3. Results
Figures 4, 5 and 6 show the evolution of the water content measured and simulated by wepp in the root zone for the soil profiles considered in the three different topographic positions (profile C: tall ladder, profile D: middle slope and profile F: low slope) on the same slope from 2003 to 2009 for the natural and forested pasture slope, respectively.
In soil water balance, evapotranspiration and soil water storage capacity are, in general, two very important factors. These components determine that plants have more or less water for their growth. In the study area, validation was carried out for the natural pasture basin, and the row of pines in the forested basin up to where the argilluvic horizon began for each of the profiles (Figures 4, 5 and 6).
Although the parameters suggested by the bibliography were used, which allowed the biomass production to be correctly simulated, in profiles C and F there were situations of over and underestimation of water in the soil by the model. Profile D generated a situation of overestimation of soil water by the model throughout the evaluation period. Although in general the model simulated the trend of the evolution of soil water, at some specific points in the evaluation there was a greater mismatch between the water content simulated by the model and that measured in natural grassland. For example, on day 905 of the evaluation period, the model had an increase in the water content of the soil, while in the soil a decrease was registered, therefore resulting in opposite behavior for the three profiles. According to the results of the statistical analysis shown in Tables 5 and 6, in none of the three profiles a Nash Sutcliffe Efficiency coefficient was considered acceptable25. These insufficient efficiency values coincide with those reported by Savabi and others27, who working on plots in natural pasture obtained an efficiency coefficient of 0.46.
Of the three profiles analyzed, profiles C and F presented the highest cd values (Table 1), with the variance of the data observed with respect to the simulated ones being greater in both cases, although with similar average values. In these two situations, to reduce the variance of the simulated data, the model had to overestimate the low values of water content and underestimate the high contents. This can be seen in Figures 4, 5 and 6.
Due to the model lack of adjustment, it was decided to analyze three points considered key to the water balance. In the first instance, it was decided to make a comparison of the estimation of the evapotranspiration simulated by the wepp model for natural pasture, since, being a pasture, it can be considered as having a cultivation coefficient close to one, so etc (Evapotranspiration of the cultivation) is very similar to et0 (Potential Evapotranspiration), which allows the comparison with the information provided by inia Tacuarembó, where the Penman Monteith equation is used. Once the averages for the different years of the evaluation period were carried out, it was observed that the wepp model estimated an evapotranspiration lower than that estimated by inia, so the soil would be more humid according to the model than what actually occurs (table 7).
Secondly, given that during the probe calibration procedure it was difficult to extract samples from soils with the lowest water content, it was decided to eliminate those soil water measurement points from profiles C and D that remained outside the regression line (Fig. 7 and 8). In the case of profile F, there were no points outside the regression line used in the calibration (Fig. 9). For profile C, with the elimination of these data, a closer approximation of the observed and simulated data was achieved, allowing the correction of the lags that were generated when all the data were used, as shown in Figure 10. And even the efficiency coefficient considered as insufficient according to Molnar cited by Cabrera28 (mef = -0.01) started to have higher values (mef = 0.60 and 0.74 for afforestation and natural pasture, respectively), with a regression line that does not deviate significantly from the perfect fit line (p val> 0.05). On the other hand, for profile D there were no significant changes in the efficiency coefficient, maintaining negative values. The regression line of said profile did not show significant changes either.
As a third point, the sub-superficial lateral flow was considered. However, even with these adjustments, efficiency coefficient values that are not acceptable continue to be obtained. This may be because the model has not generated lateral subsurface flow as observed in the field. This can alter the simulation of the redistribution of the water once it enters the ground, and therefore generate that gap between the observed and simulated data.
4. Conclusions
The results indicate that the wepp model was not able to simulate the water content of the soil in an acceptable way, since adequate values of the Nash Sutcliffe efficiency coefficient have not been obtained for the three profiles considered in both management situations. The model has generated in most cases an overestimation of the water content of the soil, due in part to the lower simulated evapotranspiration compared to what actually occurs.
On the other hand, drawbacks have been detected in the calibration of the neutron probe with low soil water contents and less evapotranspiration by the model. As a consequence, to achieve a better fit, some correction should be made to the established values, such as the leaf area index, in order to improve the simulation of evapotranspiration and thus achieve an adequate simulation of the soil water content using the model wepp.