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Selection: with tag empirical-equation [39 articles] 


Modelling the effect of soil burn severity on soil erosion at hillslope scale in the first year following wildfire in NW Spain

Earth Surface Processes and Landforms, Vol. 41, No. 7. (15 June 2016), pp. 928-935,


Fire severity is recognized as a key factor in explaining post-fire soil erosion. However, the relationship between soil burn severity and soil loss has not been fully established until now. Sediment availability may also affect the extent of post-fire soil erosion. The objective of this study was to determine whether soil burn severity, estimated by an operational classification system based on visual indicators, can significantly explain soil loss in the first year after wildfire in shrubland and other areas affected by ...


Modelling post-fire soil erosion hazard using ordinal logistic regression: a case study in South-eastern Spain

Geomorphology, Vol. 232 (March 2015), pp. 117-124,


[Highlights] [::] A method to identify most vulnerable areas towards soil erosion has been proposed. [::] Slope steepness, aspect and fire severity were the inputs. [::] The field data were successfully fit to the model in 60% of cases after 50 runs. [::] North-facing slopes were shown to be less prone to soil erosion than the rest. [Abstract] Treatments that minimize soil erosion after large wildfires depend, among other factors, on fire severity and landscape configuration so that, in practice, most of them are applied according to ...


New temperature-based models for predicting global solar radiation

Applied Energy, Vol. 179 (October 2016), pp. 437-450,


[Highlights] [::] New temperature-based models for estimating solar radiation are investigated. [::] The models are validated against 20-years measured data of global solar radiation. [::] The new temperature-based model shows the best performance for coastal sites. [::] The new temperature-based model is more accurate than the sunshine-based models. [::] The new model is highly applicable with weather temperature forecast techniques. [Abstract] This study presents new ambient-temperature-based models for estimating global solar radiation as alternatives to the widely used sunshine-based models owing to the unavailability of sunshine data at ...


Simultaneous estimation of daily solar radiation and humidity from observed temperature and precipitation: an application over complex terrain in Austria

Agricultural and Forest Meteorology, Vol. 104, No. 4. (15 September 2000), pp. 255-271,


Using daily observations of temperature, precipitation, radiation, and humidity from 24 stations spanning a large elevation gradient in Austria, we tested several previously defined algorithms for estimating daily radiation and humidity. The estimation algorithms were first tested independently, and then combined, resulting in a combined algorithm for estimating both radiation and humidity that relies only on temperature and precipitation inputs. Mean absolute errors (MAE) for joint radiation and humidity estimates were 2.52 MJ m −2 per day and 85.6 Pa, respectively, close to values ...


On the relationship between incoming solar radiation and daily maximum and minimum temperature

Agricultural and Forest Meteorology, Vol. 31, No. 2. (May 1984), pp. 159-166,


A relationship between atmospheric transmittance and the daily range of air temperature is developed. The relationship is T t = A [1— exp (— BΔT c )] where T t is the daily total atmospheric transmittance, ΔT is the daily range of air temperature, and A, B, and C are empirical coefficients, determined for a particular location from measured solar radiation data. Tests on three data sets indicate that 70–90% of the variation in daily solar radiation can be accounted for ...


Generalized allometric volume and biomass equations for some tree species in Europe

In European Journal of Forest Research, Vol. 126, No. 2. (2007), pp. 157-166,


Since biomass is one of the key variables in ecosystem studies, widespread effort has aimed to facilitating its estimation. Numerous stand-specific volume and biomass equations are available, but these cannot be used for scaling up biomass to the regional level where several age-classes and structural types of stands coexist. Therefore simplified generalized volume and biomass equations are needed. In the present study, generalized biomass and volume regression equations were developed for the main tree species in Europe. These equations were based ...


Assessment of fire danger conditions

Australian Forestry, Vol. 13, No. 1. (1 January 1949), pp. 53-62,


SUMMARY At the Yallourn and Kiewa undertakings of the State Electricity Commission of Victoria, a simple fire danger meter is being used to assist the fire protection staff in their judgment of fire danger conditions in the surrounding forests. On this meter, the fire danger rating is arrived at by adding a burning index, based on weather conditions on the day, to a season index, based on past weather history for the season. The formulae for calculating these indices are empirical, ...


Characteristics and controls of extremely large wildfires in the western Mediterranean Basin

Journal of Geophysical Research: Biogeosciences, Vol. 121, No. 8. (August 2016), pp. 2141-2157,


Large fires account for a disproportionally high percentage of area burned with potentially severe environmental and socioeconomic impacts. This study characterizes extremely large fires (ELFs; 2500–24,843 ha) in Portugal (1998–2013) and the concomitant fuel and weather conditions, analyzing the response of ELF size to their variation. ELF burned less shrubland-grassland (33% of the total ELF area) than forest (59% of total), the latter primarily composed by pine and pine-eucalypt. High fuel hazard was the norm, as indicated by median values of 0.98 ...


Anthropogenic effects on global mean fire size

International Journal of Wildland Fire, Vol. 24, No. 5. (2015), 589,


Wildland fires are an important agent in the earth’s system. Multiple efforts are currently in progress to better represent wildland fires in earth system models. Although wildland fires are a natural disturbance factor, humans have an important effect on fire occurrence by directly igniting and suppressing fires and indirectly influencing fire behaviour by changing land cover and landscape structure. Although these factors are recognised, their quantitative effect on fire growth and burned area are not well understood and therefore only partly ...


Climate change and wildfire in Canada

Canadian Journal of Forest Research, Vol. 21, No. 1. (1 January 1991), pp. 66-72,


This study investigates the impact of postulated greenhouse warming on the severity of the forest fire season in Canada. Using CO2 levels that are double those of the present (2 × CO2), simulation results from three general circulation models (Geophysical Fluid Dynamics Laboratory, Goddard Institute for Space Studies, and Oregon State University) were used to calculate the seasonal severity ratings for six stations across Canada. Monthly anomalies from the 2 × CO2 simulation results were superimposed over historical sequences of daily weather. Then, seasonal severity ...


Novel quantitative indicators to characterize the protective effect of mountain forests against rockfall

Ecological Indicators, Vol. 67 (August 2016), pp. 98-107,


[Highlights] [::] We modelled rockfall events on 3886 different forests located in all the French Alps. [::] We proposed two indicators to assess reductions of rockfall frequency and intensity. [::] We defined one indicator to evaluate the overall rockfall protection of each forest. [::] The indicators are easily and accurately predicted with three forest characteristics. [::] This approach has direct applications in forest management and rockfall assessment. [Abstract] Natural hazards are frequent in mountain areas where they regularly cause casualties and damages to human infrastructures. Mountain forests contribute ...


Tree cover and seasonal precipitation drive understorey flammability in alpine mountain forests

Journal of Biogeography, Vol. 43, No. 9. (September 2016), pp. 1869-1880,


[Aim] Little is known about the understorey flammability of European mountain forests. The aim of this study was to determine the relative effects of climate, vegetation structure and composition on the fuel-driven variation in fire spread and intensity. [Location] The western Alps. [Methods] Fire spread and intensity were simulated under constant moisture and weather conditions for a wide range of understorey fuel parameters measured in the litter, grass and shrub layers. Simulation outputs were used to compare understorey flammability between different forest ecosystem types (FET). The ...


Estimation of live fuel moisture content from MODIS images for fire danger assessment in Southern Gran Chaco

IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing (2016), pp. 1-11,


Moisture content of live fuels (LFMC) is one of the main factors determining fuel flammability and, therefore, a key indicator of fire danger. In this study, we modeled the relationship between spectral indices derived from satellite imagery and field estimations of LFMC in the Chaco Serrano subregion; then, we analyzed the relationship between fire danger estimations based on LFMC calculations and fire activity. Empirical LFMC models fitted for grasslands, Chaco Serrano forests, and glossy privet forests may be considered very accurate ...


Modeling height-diameter relationship in pinus pinaster ait. in the forest intervention zone of Lomba, NE-Portugal

(July 2016)


In this work, the relationship between diameter at breast height (d) and total height (h) of individual-tree was modeled with the aim to establish provisory height-diameter (h-d) equations for maritime pine (Pinus pinaster Ait.) stands in the Lomba ZIF, Northeast Portugal. Using data collected locally, several local and generalized h-d equations from the literature were tested and adaptations were also considered. Model fitting was conducted by using usual nonlinear least squares (nls) methods. The best local and generalized models selected, were ...


  1. Abad Viñas, R., Caudullo, G., Oliveira, S., de Rigo, D., 2016. Pinus pinaster in Europe: distribution, habitat, usage and threats. In: San-Miguel-Ayanz, J., de Rigo, D., Caudullo, G., Houston Durrant, T., Mauri, A. (Eds.), European Atlas of Forest Tree Species. Publ. Off. EU, Luxembourg, pp. e012d59+ .
  2. Adame, P., I. Cañellas, I., del Río, M., 2005. Modelo de la relación altura-diámetro para rebolares en Castilla y León. IV Congreso Forestal Español, Sociedad Española de

Soil erosion modelling

In Landform Dynamics and Evolution in Romania (2017), pp. 397-423,


Surface soil erosion modelling has benefited and continues to benefit from the progress in information technology area and statistical and mathematical processing of spatial data. In Romania, quantitative studies concerning soil erosion have a tradition of over 70 years, beginning with the establishment of experimental runoff plots. An important step in the history of soil erosion research in Romania is the adaptation of the universal soil loss equation (USLE) to the specific environmental and anthropogenic conditions form our country (ROMSEM). This ...


Evaluation of optical remote sensing to estimate actual evapotranspiration and canopy conductance

Remote Sensing of Environment, Vol. 129 (February 2013), pp. 250-261,


[Abstract] We compared estimates of actual evapotranspiration (ET) produced with six different vegetation measures derived from the MODerate resolution Imaging Spectroradiometer (MODIS) and three contrasting estimation approaches using measurements from eddy covariance flux towers at 16 FLUXNET sites located over six different land cover types. The aim was to assess optimal approaches in using optical remote sensing to estimate ET. The first two approaches directly regressed various MODIS vegetation indices (VIs) and products such as leaf area index (LAI) and fraction of ...


A geometric solar radiation model with applications in agriculture and forestry

Computers and Electronics in Agriculture, Vol. 37, No. 1-3. (December 2002), pp. 25-35,


Incoming solar radiation (insolation) is fundamental to most physical and biophysical processes because of its role in energy and water balance. We calculated insolation maps from digital elevation models, using an insolation model that accounts for atmospheric conditions, elevation, surface orientation, and influences of surrounding topography. Herein, we focus on the application of this insolation model for spatial interpolation of soil temperature measurements over complex topography at landscape scales. Existing interpolation techniques generally apply only at continental or broad regional scales ...


Estimate of the (R)USLE rainfall erosivity factor from monthly precipitation data in mainland Spain

Journal of Iberian Geology, Vol. 42, No. 1. (07 June 2016),


The need for continuous recording rain gauges makes it difficult to determine the rainfall erosivity factor (R-factor) of the (R)USLE model in areas without good temporal data coverage. In mainland Spain, the Nature Conservation Institute (ICONA) determined the R-factor at few selected pluviographs, so simple estimates of the R-factor are definitely of great interest. The objectives of this study were: (1) to identify a readily available estimate of the R-factor for mainland Spain; (2) to discuss the applicability of a single ...


Rainfall erosivity over the Calabrian region

Hydrological Sciences Journal, Vol. 42, No. 1. (1 February 1997), pp. 35-48,


Following the results of a study carried out for the neighbouring Sicilian region, this paper reports a study of the applicability of the annual value, Faj, of the Arnouldus index to represent the erosion risk in Calabrian region. Firstly, By using 214 values of the mean annual value of the erosivity index, FF, and a Kriging interpolation method, an isoerosivity map is plotted. Then, in order to predict the erosion risk for an event of any return period, the probability distribution ...


Interactive comment (reply to Anonymous Referee 3) on Modelling soil erosion at European scale: towards harmonization and reproducibility - by Bosco et al

Natural Hazards and Earth System Sciences Discussions, Vol. 2 (2014), pp. C1786-C1795,


Throughout the public discussion of our article Bosco et al. (Nat. Hazards Earth Syst. Sci. Discuss., 2, 2639-2680, 2014), the Anonymous Referee 3 provided (Nat. Hazards Earth Syst. Sci. Discuss., 2, C1592-C1594, 2014) a variety of insights. This work presents our replies to them. ...


Interactive comment (reply to Dino Torri) on Modelling soil erosion at European scale: towards harmonization and reproducibility - by Bosco et al

Natural Hazards and Earth System Sciences Discussions, Vol. 2 (2014), pp. C671-C688,


During the public discussion of our article Bosco et al. (Nat. Hazards Earth Syst. Sci. Discuss., 2, 2639-2680, 2014), D. Torri provided numerous insights (Nat. Hazards Earth Syst. Sci. Discuss. 2, C528-C532, 2014). This work offers our replies to them. ...


Modelling soil erosion at European scale: towards harmonization and reproducibility

Natural Hazards and Earth System Science, Vol. 15, No. 2. (4 February 2015), pp. 225-245,


Soil erosion by water is one of the most widespread forms of soil degradation. The loss of soil as a result of erosion can lead to decline in organic matter and nutrient contents, breakdown of soil structure and reduction of the water-holding capacity. Measuring soil loss across the whole landscape is impractical and thus research is needed to improve methods of estimating soil erosion with computational modelling, upon which integrated assessment and mitigation strategies may be based. Despite the efforts, the ...


Comparison of empirical and theoretical remote sensing based bathymetry models in river environments

River Research and Applications, Vol. 28, No. 1. (January 2012), pp. 118-133,


Knowledge of underwater morphology is an essential component of many hydrological and environmental applications such as flood modelling and lotic habitat mapping. Remote sensing allows modelling of bathymetry at spatial scales that are impossible to achieve with traditional methods. However, the use of passive remote sensing for modelling water depth in fluvial environments remains a challenge. Different methods of computing bathymetry models based on remotely sensed imagery combined with ground measurements for calibration were investigated in order to produce a digital bathymetry ...


Landslide inventories and their statistical properties

Earth Surface Processes and Landforms, Vol. 29, No. 6. (June 2004), pp. 687-711,


Landslides are generally associated with a trigger, such as an earthquake, a rapid snowmelt or a large storm. The landslide event can include a single landslide or many thousands. The frequency–area (or volume) distribution of a landslide event quantifies the number of landslides that occur at different sizes. We examine three well-documented landslide events, from Italy, Guatemala and the USA, each with a different triggering mechanism, and find that the landslide areas for all three are well approximated by the same ...


Modelling soil erosion at European scale: towards harmonization and reproducibility

Natural Hazards and Earth System Sciences Discussions, Vol. 2, No. 4. (11 April 2014), pp. 2639-2680,


Soil erosion by water is one of the most widespread forms of soil degradation. The loss of soil as a result of erosion can lead to decline in organic matter and nutrient contents, breakdown of soil structure and reduction of the water holding capacity. Measuring soil loss across the whole landscape is impractical and thus research is needed to improve methods of estimating soil erosion with computational modelling, upon which integrated assessment and mitigation strategies may be based. Despite the efforts, ...


The variation of soil erodibility with slope position in a cultivated canadian prairie landscape

Earth Surface Processes and Landforms, Vol. 17, No. 6. (September 1992), pp. 543-556,


This study examined the variation in soil erodibility along hillslopes in a Prairie landscape. The soil loss produced by simulated rainfall on undisturbed soils was used as an index of relative soil erodibility. Relative erodibility, and several soil properties, were measured at the summit, shoulder, midslope footslope and toeslope of 11 slope transects in an area of cultivated grassland soils on hummocky glacial till. The variation of erodibility with slope position was statistically significant, and slope position explained about 40 per ...


Soil erodibility and its estimation for agricultural soils in China

Journal of Arid Environments, Vol. 72, No. 6. (June 2008), pp. 1002-1011,


Soil erodibility (the K factor in the Universal Soil Loss Equation, USLE) is an important index to measure soil susceptibility to water erosion, and an essential parameter needed for soil erosion prediction. To evaluate the appropriateness of the nomograph and other methods for estimating the K factor for the USLE and to develop a relationship for soil erodibility estimation for Chinese soils, a set of soil erodibility values was calculated using soil loss data from natural runoff plots at 13 sites ...


(INRMM-MiD internal record) List of keywords of the INRMM meta-information database - part 11

(February 2014)
Keywords: doronicum-hungaricum   doronicum-orientale   dothistroma-pini   dothistroma-septosporum   downscaling   dracaena-draco   dracaena-drago   drinking-water   drought-stress   drought-tolerance   droughts   dry-summers   dry-years   dryas-octopetala   dryocoetus-autographus   dryocopus-martius   dss   dublin-core   duplicated-entry-to-be-removed   durio-zibethinus   dutch-elm   dutch-elm-disease   dynamic-data-driven-application-system   dynamic-downscaling   dynamic-programming   dynamic-vegetation-models   e-obs   e-rusle   early-dissemination   early-medieval   earth-observation   earth-system   earthquakes   east-africa   east-china-see   east-europe   ebola   ecological-change   ecological-corridor   ecological-footprint   ecological-networks   ecological-restoration   ecological-zones   ecology   economic-impacts   economic-value   economics   economy-bias   ecophysiology   ecoprovinces   ecosystem   ecosystem-change   ecosystem-conservation   ecosystem-decline   ecosystem-disservices   ecosystem-functions   ecosystem-heterogeneity   ecosystem-invasibility   ecosystem-management   ecosystem-processes   ecosystem-resilience   ecosystem-services   ecotype   edge-effect   edible-plants   editorial   editorial-policy   education   eemian   efdac   effective-gene-flow   effectiveness   effects   efficienct   effis   eficp   efics   efsa   efsa-scientific-opinion   egypt   el-nino   elaeagnus-angustifolia   elatobium-abietinum   elderberry-wine   electronics   elevation   elisa   ellenberg-climatic-quotient   ellenberg-numbers   elm-phloem-necrosis   elsevier   emergency-events   emergency-management   emergent-engineering   emergent-property   empetrum-nigrum   empirical-equation   emulation   end-of-history-bias   inrmm-list-of-tags  


List of indexed keywords within the transdisciplinary set of domains which relate to the Integrated Natural Resources Modelling and Management (INRMM). In particular, the list of keywords maps the semantic tags in the INRMM Meta-information Database (INRMM-MiD). [\n] The INRMM-MiD records providing this list are accessible by the special tag: inrmm-list-of-tags ( ). ...


Use and misuse of the K factor equation in soil erosion modeling: An alternative equation for determining USLE nomograph soil erodibility values



The K factor of the Universal Soil Loss Equation is the most important measure of soil erodibility that was adopted in many erosion models. The K factor can be estimated from simple soil properties by a nomograph. Later, the classical K factor equation was published to assist the calculation of K. This equation, however, does not fully agree with the nomograph, which still has to be used in these deviating cases. Here we show for a large soil data set from ...


Approximation and spatial regionalization of rainfall erosivity based on sparse data in a mountainous catchment of the Yangtze River in Central China

Environmental Science and Pollution Research In Environmental Science and Pollution Research, Vol. 20, No. 10. (2013), pp. 6917-6933,


In densely populated countries like China, clean water is one of the most challenging issues of prospective politics and environmental planning. Water pollution and eutrophication by excessive input of nitrogen and phosphorous from nonpoint sources is mostly linked to soil erosion from agricultural land. In order to prevent such water pollution by diffuse matter fluxes, knowledge about the extent of soil loss and the spatial distribution of hot spots of soil erosion is essential. In remote areas such as the mountainous ...


Soil erosion risk scenarios in the Mediterranean environment using RUSLE and GIS: an application model for Calabria (Southern Italy)

Geomorphology, Vol. 112, No. 3-4. (26 November 2009), pp. 228-245,


Soil erosion by water (WSE) has become a relevant issue at the Mediterranean level. In particular, natural conditions and human impact have made the Calabria (southern Italy) particularly prone to intense WSE. The purpose of this investigation is to identify areas highly affected by WSE in Calabria by comparing the scenarios obtained by assuming control and preventive measures and actions, as well as actual conditions generated by forest fires, also in the presence of conditions of maximum rainfall erosion. Geographic Information ...


Conventional tree height–diameter relationships significantly overestimate aboveground carbon stocks in the Central Congo Basin

Nature Communications, Vol. 4 (5 August 2013),


Policies to reduce emissions from deforestation and forest degradation largely depend on accurate estimates of tropical forest carbon stocks. Here we present the first field-based carbon stock data for the Central Congo Basin in Yangambi, Democratic Republic of Congo. We find an average aboveground carbon stock of 162±20 Mg C ha−1 for intact old-growth forest, which is significantly lower than stocks recorded in the outer regions of the Congo Basin. The best available tree height–diameter relationships derived for Central Africa do not render accurate ...


Quantifying and mapping biodiversity and ecosystem services: Utility of a multi-season NDVI based Mahalanobis distance surrogate

Remote Sensing of Environment, Vol. 113, No. 4. (15 April 2009), pp. 857-867,


There is an urgent need for techniques to rapidly and periodically measure biodiversity and ecosystem services over large landscapes. Conventional vegetation classification and mapping approaches are based on discrete arbitrary classes which do not capture gradual changes in forest type (and corresponding biodiversity and ecosystem services values) from site to site. We developed a simple multi-date NDVI based Mahalanobis distance measure (called eco-climatic distance) that quantifies forest type variability across a moisture gradient for complex tropical forested landscapes on a single ...


Estimation of tropical rain forest aboveground biomass with small-footprint lidar and hyperspectral sensors

Remote Sensing of Environment, Vol. 115, No. 11. (November 2011), pp. 2931-2942,


Tropical forests are an important component of the global carbon balance, yet there is considerable uncertainty in estimates of their carbon stocks and fluxes, which are typically estimated through analysis of aboveground biomass in field plots. Remote sensing technology is critical for assessing fine-scale spatial variability of tropical forest biomass over broad spatial extents. The goal of our study was to evaluate relatively new technology, small-footprint, discrete-return lidar and hyperspectral sensors, for the estimation of aboveground biomass in a Costa Rican ...


Event erosivity factor and errors in erosion predictions by some empirical models

Australian Journal of Soil Research, Vol. 41, No. 5. (2003), pp. 991-1003,


Analyses undertaken in this paper show that the Universal Soil Loss Equation (USLE) tends to overestimate low values of soil loss when the soil surface has a high capacity to infiltrate rainfall, but the degree of overestimation falls as the capacity of the soil to produce runoff increases. The USLE-M, a version of the USLE that uses the product of the runoff ratio and the EI30 as the event erosivity index, is more efficient in estimating soil loss because runoff is ...


A new procedure to estimate the RUSLE EI30 index, based on monthly rainfall data and applied to the Algarve region, Portugal

Journal of Hydrology, Vol. 250, No. 1-4. (September 2001), pp. 12-18,


One of the best indicators of the potential erosion risks is the rainfall–runoff erosivity factor (R) of the revised universal soil loss equation (RUSLE). Frequently, however, there is not enough data available to compute the R value, and other parameters, such as the modified Fournier index (Fmod), are used instead. But RUSLE is less effective if only the alternative procedures exist. One of the major discrepancies between R and the alternative parameters is time resolution: individual storms are used to calculate ...


Estimating RUSLE's rainfall factor in the part of Italy with a Mediterranean rainfall regime

Hydrology and Earth System Sciences, Vol. 8 (2004), pp. 103-107


The computation of the erosion index (EI), which is basic to the determination of the rainfall-runoff erosivity factor R of the Revised Universal Soil Loss Equation (RUSLE), is tedious and time-consuming and requires a continuous record of rainfall intensity. In this study, a power equation(r<SUP>2</SUP> = 0.867) involving annual erosion index (EI<SUB>30-annual</SUB>) in the Mediterranean part of Italy is obtained. Data from 12 raingauge stations are used to derive and then test a regional relationship for estimating the erosion index from only three rainfall parameters. Erosivity rainfall data derived ...


Biomass and stem volume equations for tree species in Europe

Vol. 4 (2005)


Review of stem volume and biomass equations for tree species growing in Europe is presented. The mathematical forms of the empirical models, the associated statistical parameters and information about the size of the trees and the country of origin were collated from scientific articles and from technical reports. The collected information provides a basic tool for estimation of carbon stocks and nutrient balance of forest ecosystems across Europe as well as for validation of theoretical models of biomass allocation. ...


Soil erosion in the Alpine area: risk assessment and climate change

Studi Trentini di scienze naturali, Vol. 85 (2009), pp. 119-125


Objective of the research is to define the magnitude of the Actual Soil Erosion Risk in the Alpine area and to link it with a perspective of medium long terms in relation to climate change. The Revised Universal Soil Loss Equation (RUSLE) was applied to the whole Alpine space. It allowed to produce, with a spatial resolution of 100 m, the map of actual soil erosion and two further maps defining soil erosion rates in A2 and B2 scenarios of the ...

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