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UNIVERSITY OF GOTHENBURG Department of Economy and Society, Human Geography & Department of Earth Sciences Geovetarcentrum/Earth Science Centre Present and future soil erosion in the Kungsbackaån watershed Karl Adler ISSN 1400-3821 Mailing address Geovetarcentrum S 405 30 Göteborg Address Geovetarcentrum Guldhedsgatan 5A B919 Bachelor of Science thesis Göteborg 2016 Telephone 031-786 19 56 Telefax 031-786 19 86 Geovetarcentrum Göteborg University S-405 30 Göteborg SWEDEN Abstract When it comes to soil erosion prediction for present and future climates Sweden is seldom represented. Sweden have been represented on a European scale for present climate but soil erosion studies on particular locations in Sweden are scarce coupled with high resolution data. The purpose of this study was thus to model soil erosion for the present and future (year 2070) with two climate scenarios in the Kungsbackaån watershed in the south west of Sweden. The revised universal soil loss equation (RUSLE) was used within a GIS environment coupled with high resolution elevation data of 2 meters. Soil erosion is, globally, an immense problem destroying more than 10 million hectares of cropland annually. Soil erosion is mostly affected by precipitation and precipitation is set to increase in magnitude in northern Europe. Publically available data was gathered on rainfall, soil, elevation and vegetation to be implemented within the ArcGIS 10.3.1 suite. Results show that present and future estimated mean annual soil loss in Kungsbackaån watershed will be within bounds of very low soil loss of 0 β 0,5 t/ha/y but with isolated locations of higher estimated mean annual soil loss up to >50 t/ha/y. When compared to a study on present estimated mean annual soil loss by the European Soil Data Centre (ESDAC) the method was deemed credible. High resolution elevation data gives rise to detailed topography and thus detailed locations of soil erosion can be modeled compared to coarser resolutions. There are however problems with the method when coupled with high resolution elevation data which makes the very high values of estimated mean annual soil loss questionable depending on locations. These locations can be streams or on bare bedrock and thus finer processes of removing non-erodible areas need to be implemented. 2 Sammanfattning När det kommer till jorderosions estimeringar för nutida och framtida klimat är Sverige sällan representerat. Sverige har blivit representerat på en Europeisk skala tidigare på nutida jorderosion men studier på specifika platser i Sverige tillsammans med högupplöst data är svårt att finna. Syftet med den här studien var således att modellera jorderosion för nutid och framtid (år 2070) med två klimat scenarier i Kungsbackaåns avrinningsområde i syd västra Sverige. The revised universal soil loss equation (RUSLE) användes inom ett GIS tillsammans med högupplöst höjddata på 2 meter. Jorderosion är globalt sett ett enormt problem där mer än 10 miljoner hektar av jordbruks mark förstörs årligen. Jorderosion påverkas huvudsakligen av nederbörd och nederbörd förväntas öka i magnitud i norra Europa. Offentligt tillgänglig data på nederbörd, jord, höjd och vegetation inhämtades och implementerades inom ArcGIS 10.3.1. Resultaten visar att nutida och framtida beräknad medeljordförlust per år är inom ramar för väldigt låg jordförlust på 0 β 0,5 t/he/å men med isolerade platser med hög beräknad medeljordförlust per år upp till >50 t/he/å. Efter jämförelser med en studie på nutida estimerad medeljordförlust av European Soil Data Centre (ESDAC) så kan metoden anses som legitim. Högupplöst data ger upphov till en detaljerad topografi som i sin tur kan modellera detaljerade platser med jordförlust som annars hade filtrerats ut av grövre upplösningar. Det finns dock problem med metoden när det används högupplöst data i den mån att platser med väldigt hög beräknad medeljordförlust per år som återfinns på tveksamma platser såsom vattendrag och bar sten. Detta syftar på att detaljerat arbete i att ta bort platser där ingen erosion kan ske krävs för att säkerhetsställa representativiteten. 3 Preface This study is my Bachelor thesis in Geography conducted at the department of Earth Sciences at the University of Gothenburg. Since the first lectures on soils I was amazed upon the complexity and the importance of the soil beneath our feet. Coupled with a love towards computers the mix of soil and GIS was set. I would like to firstly thank my supervisor Dr. Fredrik Lindberg for all the great tips and help with this thesis. Secondly I would like to thank Associate Professor Mats Olvmo for answering my rambling questions on soils and the like. Lastly I would like to thank Professor Sofia Thorsson for the wonderful help and suggestions with this thesis. Apart from the academic help I would like to thank my parents and my better half Ebba. Without your support and enthusiasm this feat would never have been realized. Karl Adler 4 1 Introduction ......................................................................................................................... 6 2 Aim and specific objectives ................................................................................................ 7 3 Background ......................................................................................................................... 8 3.1 Soil erosion .................................................................................................................. 8 3.1.1 Soil erosion in Sweden ......................................................................................... 9 3.2 Soil erosion models ................................................................................................... 10 3.3 Climate change and representative concentration pathways ..................................... 11 4 Study area.......................................................................................................................... 13 5 Methodology ..................................................................................................................... 15 5.1 RUSLE factor methodology ...................................................................................... 15 5.2 Data description ......................................................................................................... 17 5.2.1 Rainfall erosivity factor data .............................................................................. 17 5.2.2 Soil erodibility factor data .................................................................................. 17 5.2.3 Slope length and slope steepness factor data ..................................................... 18 5.2.4 Cover management factor data ........................................................................... 18 5.2.5 Other data ........................................................................................................... 18 5.3 6 7 Implementation in GIS .............................................................................................. 19 5.3.1 Implementing the soil erodibility factor ............................................................. 19 5.3.2 Implementing the rainfall erosivity factor .......................................................... 21 5.3.3 Implementing the slope length and slope steepness factor................................. 21 5.3.4 Implementing the cover management factor ...................................................... 21 5.3.5 Calculation of the estimated mean annual soil loss............................................ 21 Results ............................................................................................................................... 23 6.1 The rainfall erosivity factor for Kungsbackaån watershed ........................................ 24 6.2 The soil erodibility factor for Kungsbackaån watershed ........................................... 25 6.3 The slope length and slope steepness factor for Kungsbackaån watershed .............. 26 6.4 The cover management factor for Kungsbackaån watershed .................................... 27 6.5 The estimated mean annual soil loss for Kungsbackaån watershed .......................... 28 Discussion and discussion of methodology ...................................................................... 34 7.1 Discussion of the results ............................................................................................ 34 7.2 Discussion of methodology and data quality ............................................................. 35 8 Conclusion ........................................................................................................................ 38 9 References ......................................................................................................................... 39 5 1 Introduction Globally soil erosion is an enormous problem which attributes to an estimate loss of 10 million hectares of cropland annually (Mullan, Favis-Mortlock & Fealy, 2011). The IPCC have declared that present climate change from the year 1951 to 2010 is extremely likely attributed to anthropogenic actions (IPCC, 2014). IPCC names several future implications such as health problems related to heat strokes, water shortages due to higher temperatures and sea level rise to name a few (Kovats et al, 2014). But with climate change soil erosion is globally expected to increase in extent, frequency and magnitude (Mullan et al, 2011). With an expecting increase in total world population regions suffering from soil erosion that are dependent on domestic food production such as Asia, Africa and South America will be put at a great stress with a changing climate but regions perceived as safe such as in the northern hemisphere are not by chance exempted from the problem of soil erosion (Boardman & FavisMortlock, 1993). In a future where locally sourced food becomes more important for climate change mitigation and food security soil erosion becomes a potential risk. This potential risk should be investigated in order to be able to implement policies for combating soil erosion if so needed. Several studies on future soil erosion by climate change has been made in locations from Asia, Africa and Europe in varying scales from agricultural fields to entire continents with different soil erosion models such as the revised universal soil loss equation (RUSLE) (e.g. Panagos et al, 2015b). There are however gaps in studies on smaller scales covering Sweden where there is a lack of studies on future soil erosion by climate change. Sweden often only get represented by European scale made estimations on soil erosion in a present climate such as in the work by the European Soil Data Centre (ESDAC) (ibid.). 6 2 Aim and specific objectives The overall aim of the study is to see how soil erosion will change in a future climate in a watershed in Sweden using RUSLE in a GIS environment. This with easily available methods from peer reviewed articles coupled with publically available data on present and future precipitation, elevation, soil and vegetation. The specific objectives of the study are as follow: ο· How much is soil erosion will there be in the Kungsbackaån watershed in the present and the year of 2070? ο· Which factor as in topography, vegetation, soil or precipitation is dominant for how soil erosion is expressed in Kungsbackaån watershed in the present and the year of 2070? ο· Is it possible to make a credible soil erosion estimation based on publically available data using the RUSLE model in a GIS environment? 7 3 Background 3.1 Soil erosion The most important erosion agent when it comes to soil erosion is the influence by water and more specifically rain often called as a whole β water erosion. The major components of water erosion are sheet erosion and rainsplash erosion. As the infiltration capacity in the soil is exceeded, that is that the soil cannot take up more water, runoff is formed often as a thin sheet of water moving down slope namely sheet flow (De Blij, Muller, Burt & Mason, 2013, p. 436). This sheet flow, if more water is added to the system, will begin to dislodge and transport soil particles thus eroding the soil. By this process rills can form which are small channels of accumulated runoff that are not permanent and if even more water is added larger more permanent rills namely gullies can form (De Blij et al, 2013, p. 445-456). This erosion by runoff is called sheet erosion and is governed by rainfall intensity, soil type and the gradient of the slope so that accumulation and deposition of soil particles can occur. The other major factor in water erosion is by rainsplash erosion. Rainsplash erosion occurs as raindrops impact the soil thus dislodging and displacing soil particles by the sheer kinetic force of the raindrop. Rainsplash erosion like sheet erosion thrives when an articulated slope gradient is present as dislodged soil particles can get deposited further down the slope (De Blij et al, 2013, p. 445). Rainsplash erosion and sheet erosion work together interchangeably and form inter-rill and rill erosion. Inter-rill erosion is the combination of rainsplash erosion and sheet erosion for the transportation of soil particles. Rill erosion is the effect of inter-rill erosion as the runoff gets concentrated in the rill which then erode the soil as soil particles get dislodged and transported in the rill as water flows within it, the results presented by He, Sun, Gong, Cai & Jia (2016) show that with an increased slope gradient there is an increase in formation and magnitude of rill erosion up to a point when the slope is so steep that rill erosion stabilizes. There are factors that can prevent rill and inter-rill erosion. One of these factors are the presence of vegetation in the form of canopy cover such as leaves and root systems. Canopy cover result in intercept on which when vegetation protects the soil from rainsplash erosion (De Blij et al, 2013, p. 435). Roots are however equally important as they bind the soil making it more stable where more shallow and dense root systems such as those from grasses are most effective at prohibiting soil erosion (Gyssels, Poesen, Bochet & Li, 2005). Another important factor for soil resistance are soil aggregates. Soil aggregates are soil particles bonded together by a bonding agent such as organic matter or mycorrhiza fungi which in turn 8 gives the soil structural strength to resists dislodgment of soil particles due to the high cohesion of soil particles that the bonding agent provides (Bryan, 2000). 3.1.1 Soil erosion in Sweden Sweden does not suffer from any serious soil erosion problems in the present compared to developing countries in Asia or Africa for example. There are however isolated locations where soil erosion from precipitation are noticeable such as particular river valleys in the north and around particular lakes such as Siljan in Dalarna county (OECD, 2008). The European Soil Data Centre (ESDAC) conducted research on a European scale where Sweden is represented in regards to present day conditions for soil erosion (Panagos et al, 2015b). Figure 1 show the estimated mean annual soil loss with raster cells of 25 meters in resolution. It can be seen that the dominant estimated mean annual soil loss in Sweden situates within the boundaries of 0 β 0,5 t/ha/y with higher values in the northern Sweden. In the work by Panagos et al (2015b) a mean for the whole country of Sweden is presented with the value of 0,41 t/ha/y which is within boundaries of very low estimated mean annual soil loss. This can be compared to countries in the south of Europe such as Spain where the estimated mean annual soil loss is 3,94 t/ha/y which is much higher than Sweden (Ibid.). Figure 1: Map showing the estimated mean annual soil loss in Europe in a present day climate. Source: Panagos et al (2015b). 9 3.2 Soil erosion models There exist several soil erosion models such as the process-based model like WEPP (The water erosion prediction project) and the more statistical RUSLE (Revised universal soil loss equation). WEPP was for example created by the USDA and uses inputs to calculate for example plant growth, soil consolidation and erosion mechanics to model soil erosion dynamically (Nearing et al, 2005). As there exists several soil erosion models each model utilizes information and knowledge on soil erosion in similar or different ways (e.g. Nunes, Vieira, Seixas, Goncalves & Carvalhais, 2005; Zhang, Hernandez, Anson, Nearing, Wei, Stone & Heilman, 2012). However, one of the oldest and most widely used soil erosion model is RUSLE which is the successor to the Universal Soil Loss Equation (USLE). USLE was created in 1978 by the USDA with a goal to model water erosion in order to be able to implement efficient soil conservation practices in United States (Renard, Yoder, Lightle & Dabney, 2011). The data which the model is created upon is based on statistical relationships gathered from over 10,000 plot-years of data collected over 70 years of erosion data with standardized plots in slope amount and dimension (ibid.). In 1985 however it was decided that the USLE model were to be updated to accommodate new technology and thus development began on the RUSLE (McCool, Foster, Renard, Yoder & Weesies, 1995). The main structure of the RUSLE equation is: π΄ = π × πΎ × πΏπ × πΆ × π (1) where A is the estimated mean annual soil loss in ton/hectares per year (t/ha/y), R is the rainfall erosivity factor, K is the soil erodibility factor, LS is the slope length and steepness factor, C is the cover management factor and P is the soil conservation factor (ibid.). Each factor in RUSLE represents a part to estimate the soil erosion caused by rill and inter-rill erosion. The rainfall erosivity factor represents the climatic potential for water erosion and there are equations and versions of the RUSLE estimating thaw cycles in soils and snowmelt as a part of the rainfall erosivity factor (Wischmeier & Smith, 1978). The soil erodibility factor represents the potential soil erosion due to soil characteristics which are for example soil structure class, primary particle fraction, soil particles sizes, chemical buildup or the permeability of the soil depending on what equation is used and what kind of soil data is 10 available for use (Ibid.). The slope length and steepness factor is linked to three main phenomena where the slope length is the determining factor for rill and inter-rill erosion and the steepness factor is linked to the magnitude of the potential runoff as a flat topography will not produce pronounced sheet flows (Ibid.). The cover management factor is defined as the ratio of soil loss from land cropped under specific conditions to the corresponding loss from clean-tilled, continuous fallow (Ibid.). The cover management factor can be determined by vegetation canopy cover by measurements of characteristics of vegetation from crops, shrubs or trees but the cover management factor can also imply management practices such as applied plant residue or mulch (Ibid.). The soil conservation practice factor encompasses erosion reducing practices by humans that are not attributed by naturally occurring vegetation such as terrace farming, minimizing and management of runoff, planting dates to minimize soil erosion and sustainable tillage practices to name a few (Ibid.). RUSLE is mainly a computer program but several articles have implemented it into a GIS environment where multiple different iterations exist to calculate each factor in RUSLE. This is one of the main strengths of RUSLE as it is very flexible and relatively simple in a GIS environment. An example of this notion is the article by Panagos et al (2015a) where the rainfall erosivity factor is calculated by using several variables such as maximum rainfall during a 30-minute event and rainfall volume during a time period to name a few. Contra to this there also exist methods where fewer variables are implemented such as in the article by Shi, Cai, Ding, Li, Wang & Sun (2002) where only total annual precipitation and total monthly precipitation is needed to calculate the rainfall erosivity factor. 3.3 Climate change and representative concentration pathways The climate of the future is not clear due to how factors such as socio-economics, technology, land use, and emissions of greenhouse gases will change and unfold (van Vuuren et al, 2011a). A climate change scenario represents a specific possible future climate with for example high amounts of green technology contra a scenario with low amount of green technology. The dominant climate change scenarios are the RCP (representative concentration pathways) family of climate change scenarios. There exist mainly four RCP scenarios which are the RCP2.6, 4.5, 6 and 8.5. The two latter numbers indicate the radiative forcing target level for the year 2100 given a specific timeline, where the radiative forcing is the net change in the energy balance of the earth system due to some forcing agent expressed in watt per square meters (W/m2) (Myhre et al, 2013; van Vuuren et al, 2011a). These radiative forcers can be 11 anthropogenic or natural which can be greenhouse gas emissions or volcanic eruptions respectively (Myhre et al, 2013). The RCP2.6 trajectory signifies immediate anthropogenic intervention with strong climate change mitigation (van Vuuren et al, 2011b). The RCP4.5 trajectory signifies stabilization of greenhouse gas emissions which as the RCP2.6 is also a scenario containing anthropogenic climate change mitigation but as prolific (Thomson et al, 2011). The RCP6 trajectory is similar to RCP4.5 but where climate change mitigation policies and technology implementations are not as strong (van Vuuren et al, 2011a). The RCP8.5 trajectory signifies what is called as the βbusiness as usualβ trajectory with an increase in population, slow socioeconomic development and slow innovation/implementation of technology (Riahi et al, 2011). All four RCP trajectories can be seen in fig 2 in regards to air temperature increase. Figure 2: Graph showing the four RCP trajectories from the year 1850 to 2300 in regards to temperature change in degrees Celsius (Collins et al, 2013). It is projected that there will be a mean annual increase of precipitation in northern and central Europe but a decrease in southern Europe (Christensen et al, 2013). The increase of precipitation is projected to increase in northern and central Europe due to warmer winter months resulting in more precipitation as rainfall which could result in higher amounts of soil erosion (ibid.). 12 4 Study area The study area is the Kungsbackaån watershed which is situated in the lower southwestern part of Sweden south of Gothenburg as can be seen in figure 3. The Kungsbackaån watershed situates mainly in the Kungsbacka municipality. Figure 3: Map showing the geographic location and extent of the Kungsbackaån watershed with elevation represented in meters relative to the sea level. The watershed is heterogeneous in the sense of land cover with agricultural areas, urban areas and forests where the two biggest urban areas are Kungsbacka and Lindome (Kungsbacka kommun, 2015). The total area of the watershed is 301km2 which makes it one of the smaller main watersheds in Sweden. The area of Kungsbackaån watershed was chosen due to the good availability of data on the watershed as in soil characteristics. There is also an advantage in the sense of heterogeneity as in the case of soils, topography, vegetation and land cover. The size of the watershed is favorable as high resolution elevation data is very processing heavy which limits the choice when using a personal computer. In the lower western part one can find most of the urban areas present in the watershed. In the same area there are multiple locations with agricultural practices. The northern eastern part is 13 more dominated by forests and less so of urban and agricultural areas. The Kungsbackaån watershed has a wide variety of soils. The most dominant soil types present in the watershed are thin layers of soils overlying what is classified as bedrock. Secondly soils with an abundance of clay and silts are very prevalent in the study area. The least prevalent soils in the watershed are those of larger particle grain sizes such as sandy soils and moraines. The watershed has a heterogeneous topography with flatter areas in the south western part and higher elevations coupled with sharp contrasts in elevation differences in the north western part of the watershed as seen in figure 3. The watershed can be classified as typical Swedish west coast in terms of geomorphology. A landscape of rifts is present as there are steep slopes in the form of bare rock cliffs. Slopes present in the watershed can thus be very abrupt and sharp at some locations. This can be seen throughout of the watershed but mostly in the south western part of the watershed. The mean annual precipitation for the watershed is 953mm which is based upon the years spanning from 1961 to 1990 (SMHI, 2015). The mean annual precipitation for the watershed differs from this baseline value between years and was 22,7% higher in the year of 2014 as an example (ibid.). 14 5 Methodology In this section firstly the equations used to calculate each factor in RUSLE will be presented. Second the data needed to calculate each factor will be described. Lastly the process of implementation of RUSLE in ArcGIS will be presented. 5.1 RUSLE factor methodology The rainfall erosivity factor (R) was calculated using the method by Prasannkumar, Shiny, Geetha & Vijith (2011). The method was chosen as the calculation only requires data on monthly and annual precipitation which becomes well suited for future prediction where daily rainfall erosivity data and storm intensity is hard to come by. R is expressed as: 12 π = β 1.735 × (2) π2 (1.5πππ π β0.08188) π 10 π=1 where Ti is the total amount of precipitation a given month and T is the total annual precipitation. The method by Kouli, Soupios & Vallianatos (2009) was used to calculate the soil erodibility factor (K). The method is suitable where there is limited data on exact particle size distribution and organic soil content in the sample data (Ibid.). K is expressed as: 2 ππππ·π + 1.659 πΎ = 0.0034 + 0.0405 × exp [β0.5 ( ) ] 0.7101 (3) ππ + ππβ1 π·π = exp [β ππ ln ( )] 2 (4) where Dg is the estimated geometric mean particle size in mm. In equation 3 di is the maximum diameter (mm) and di-1 is the minimum diameter of that particular particle size class such as clay, silt, sand and gravel. fi is the mass fraction corresponding to the particle size class. 15 The slope length and slope steepness factor (LS) was calculated with the method used by Demirci & Karaburun (2012). The method is well suited to be implemented in a GIS framework due to three variables in the calculation depend on information derived from a DEM (Digital elevation model). LS is expressed as: πΏπ = (πΉπππ€π΄πππ’ππ’πππ‘πππ × πΆππππ ππ§π 0.4 sin π ππππ 1.3 ) ×( ) 22.12 0.0896 (5) where FlowAccumulation is the raster layer containing information about flow accumulation which is the total amount of cells flowing in to that cell, Cellsize is the resolution of the elevation data and slope is the slope amount in radians. To calculate the cover management factor (C) the method used by Jianping, Tao, Rahimy, Fu, Haiying & Jiahua (2012) was chosen which uses NDVI (Normalized difference vegetation index). According to Durigon, Carvalho, Antunes, Oliveira & Fernandes (2014) one can estimate the cover management factor accurately and fast with NDVI using remotely sensed images which removes time consuming field surveys. NDVI is a measurement of the red and NIR (Near-infrared) spectrum ranging from -1 to 1. High positive values indicate high photosynthetic activity which can be translated to abundant or healthy vegetation while lower negative values indicate the opposite (Ibid.). The calculation derives the NDVI value to a corresponding land cover type such as a forest or bushes to name a few (Jianping et al, 2012). C is expressed as: πΆ = 0.227 × exp(β7.337 × ππ·ππΌ) (6) where NDVI is the data derived from a remotely sensed image as a raster grid layer. The soil conservation factor (P) is not deemed critical to the RUSLE equation as many studies such Kouli et al (2008) and Demirci & Karaburun (2011) leave it at 1 thus omitting it from the analysis. The omitting occurs if there are no data available on soil conservation practices. The factor value for soil management in this study is assumed to be null as no information on soil conservation is available or gathered. Thus the value for the soil management factor was set as 1. 16 5.2 Data description 5.2.1 Rainfall erosivity factor data In order to calculate a future rainfall erosivity statistically downscaled precipitation datasets of the HadGEM2-ES, MIROC5 and MPI-ESM models were chosen. The precipitation scenarios from the respective models were acquired from the website worldclim.org which is a free climate data service. The scenarios RCP4.5 and RCP8.5 for the year 2070 (The average for 2061-2080) were chosen in order to be able to compare results from a relatively mild and realistic future climate change scenario and a worst case one. RCP2.5 was deemed to unrealistic as a goal for 2070 and RCP6 was not deemed not to different from RCP4.5. The precipitation scenario data comes as a raster format with a resolution of 30 arc seconds (1km at the equator) in the GCS WGS 1984 reference system. Each dataset contains 12 raster layers where each one represents a month in the year. The HadGEM2-ES model is a climate model developed by the Met Office Hadley Centre in the UK to be used in the Coupled Model Intercomparison Project (CMIP5) (Collins et al, 2011). The MIROC5 model is a climate model created jointly by Center for Climate System Research (CCSR), National Institute for Environmental Studies at the University of Tokyo (NIES) and the Japan Agency for Marine-Earth science and Technology for usage in CMIP5 (Watanbe et al, 2010). The MPI-ESM is a climate earth-system model as the HadGEM2-ES and was created by the Max-Planck Institute in Switzerland for usage in CMIP5 (Giorgetta et al, 2013). Present day precipitation data was acquired from worldclim.org. The present day precipitation dataset is for the period 1950-2000 which is made out of interpolation from observed weather station data (Hijmans, Cameron, Parra, Jones & Jarvis, 2005). The dataset is from several sources such as The global climatic network dataset (GHCN) and more regional ones such as Nordklim for Scandinavian countries to name a few (Ibid.). The choice of choosing this current dataset for precipitation stems in the argument of having homogenous data from the same source, reference system and resolution in order to have a more seamless comparison. 5.2.2 Soil erodibility factor data Data on soil was provided by the Swedish Geological Survey (SGU) with soil samples containing information on their characteristics in order to calculate the soil erodibility factor. The soil sample point data is provided as a vector format in the SWEREFF99TM reference system as points where each point represents a soil sample, sampling dates span over five 17 decades and at this present moment this soil sample data is not a publically available product but will be released as one in the near future according to Gustav Sohlenius (personal communication, 14 april 2016). Each sample point contains information on particle size classes and their total mass percent fraction, sample depth and, if it was sampled, chemical data such as calcium and organic matter to name a few (Ibid). A Soil map from SGU was downloaded from the Geodata Extraction Tool in order to link these soil sample points to a specific soil type. The soil map is in a vector format as polygons which contains information about the geographical shapes and extent of soil types and comes in the SWEREFF99TM reference system. The soil data in the Kungsbackaån watershed was gathered by field surveys, aerial photography, economic and topographical maps with a mean error in position of 50-75 meters (Sveriges Geologiska Undersökning, 2014). 5.2.3 Slope length and slope steepness factor data Elevation data from Lantmäteriet acquired from the Geodata Extraction Tool was used to compute the slope steepness and the slope length factor. The data is in a ASCII grid raster format with a 2-meter resolution derived from laser data as a triangulated irregular network (TIN) in the SWEREF99 reference system with a mean height error of 0,05 meters (Lantmäteriet, 2015). 5.2.4 Cover management factor data Cover management data was gathered from the SACCESS (Nationella satellitdatabasen) from Lantmäteriet. The data chosen was a remotely sensed raster image from the OLI TIRS sensor on the Landsat 8 satellite from the U.S Geological Survey, the date of acquisition is 2015-0821 with a cloud coverage of 0 in the GCS WGS 1984 reference system. The OLI TIRS sensor captures the RGB and NIR (Near infrared) spectral band with a resolution of 100 meters which is resampled to a resolution of 30 meters (U.S. Geological Survey, 2015). 5.2.5 Other data Vector data was gathered from Lantmäteriet using their Geodata Extraction Tool for land cover classification and types to be able to remove non-erodible surfaces like urban areas and waterbodies. The land cover classification in the dataset are derived from scanning and digitalization of analog maps, information gathering from municipalities or regions and databases from multiple government institutions (Lantmäteriet, 2013). 18 5.3 Implementation in GIS RUSLE was implemented in the ArcGIS ArcMap 10.3.1 version where each factor of the RUSLE was calculated separately. Each factor was later multiplied together as equation 1 shows to obtain an estimated mean annual soil loss as can be seen in figure 4. A total of 3 estimations of estimated mean annual soil loss were made with one as present precipitation, precipitation in the year 2070 with Rcp4.5 and precipitation in the year 2070 with Rcp8.5. All the tools mentioned in this section refer to geoprocessing tools available in the ArcGIS 10.3.1 suite unless stated otherwise. Figure 4: Processing scheme for the RUSLE factors within a GIS. 5.3.1 Implementing the soil erodibility factor The soil erodibility factor was calculated for each soil type of the soil map polygon layer by using equation 4 on each soil sample point and then applying that value to the corresponding overlapping soil type in order to use equation 3. The ISO 14688-1:2002 soil particle size classification system was used for the maximum and minimum soil particle size for gravel, sand, silt and clay. For example, if a soil sample point was overlapping a glacial sandy soil that soil type across the study area would inherit the mean geometric particle size value from the soil sample point overlapping it. If there were multiple soil sample points on the same soil type the average of the soil sample points mean geometric particle size was used for the soil type. Soil types that did not have an overlapping soil sample point in the study area got their mean geometric particle size from the 19 corresponding soil type outside the study area where a soil sample point is overlapping the corresponding soil type. For example, there did not exist a soil sample point on any peat mosses in the study area and therefore a soil sample point overlapping a peat moss outside the study area lay basis for the mean geometric particle size for the peat moss soils inside the study area. If, however there was no soil sample point present inside or outside the study area within the 6km radius an estimation of the mean geometric particle size was made as in the instance of post glacial fine sand and sandy ice river sediment. This could be made as according to the ISO 14688-1:2002 soil classification system with post glacial fine sand due to fine sand situating in the lower end of the sand class and above the silt class. The post glacial fine sand thus got the value between the calculated geometric mean particle size of ordinary sand and coarse silt which are the larger particle size class above and smaller particle size class below respectively. With sandy ice river sediment, the geometric mean particle size of post glacial sand applied as both contain sand. Bedrock is according to the soil map the dominant soil type dominant in the watershed. From observations with aerial photography bare bedrock without any soil cover is not the norm in the watershed and thus the bedrock soil type is perceived as having a thin soil layer thus overlapping soil sample points on bedrock lay basis for this soil type. The first priority was to gather mean geometric particle sizes from soil sample points within the study area multiple or singular. If a soil type was lacking an overlapping soil sample point the closest soil sample point to the study area was chosen. The maximum distance for gathering a mean geometric particle size was with a 6km radius around the study area and beyond that extrapolation of a mean geometric particle size was deemed unfit. If a soil sample point was conflicting with the soil type it was overlapping or vice versa it was omitted from the analysis. For example, if a soil sample point was overlapping a soil containing gravel according to the soil map and the soil sample point contained no gravel the soil sample point in question was omitted. After each soil type in the study area got its corresponding mean geometric particle size calculated the whole soil type layer was then converted to a raster with a resolution of 2 meters. The raster calculator tool was then applied to this now raster soil type layer with equation 3 in order to calculate the soil erodibility factor for each soil type present in the watershed. 20 5.3.2 Implementing the rainfall erosivity factor The rainfall erosivity factor was calculated first by adding all the raster layers of precipitation for each month together in the raster calculator tool in order to obtain a single raster layer containing total annual precipitation. This was done for the current precipitation dataset and the two future scenario datasets. Each month for the three models were added together and divided in order to acquire the mean precipitation from the three models for each month, the same was done with the annual precipitation. Equation 2 was then implemented in the raster calculator tool for each dataset with its annual and monthly precipitation to obtain the rainfall erosivity value for the current and the two future scenarios. 5.3.3 Implementing the slope length and slope steepness factor The slope length and slope steepness factor was firstly processed by creating a slope raster of the raster DEM with the slope tool set to degrees. The slope raster was then converted to radians by multiplying 0,01745 to each slope cell using the raster calculator tool as to be able to compute the sinus of the slope as ArcGIS requires values in radians for the sinus operation present in equation 5. The fill tool was used on the DEM to remove extreme or odd height values in order to smooth out the DEM surface. Later the flow direction tool was applied on this smoothed DEM to calculate a raster containing flow directions. Then the flow accumulation tool was used with the flow direction raster as input to create a raster containing information on flow accumulation. Lastly the calculated slope and flow accumulation raster layers were used in equation 5 with the raster calculator tool to obtain the slope length and slope steepness factor. 5.3.4 Implementing the cover management factor The cover management factor was first calculated by importing the thermal radiation spectrum raster image of the area and using the NDVI tool in image analysis to acquire an image containing NDVI ranging from -1 to 1. The NDVI raster was then calculated with equation 6 in the raster calculator tool to acquire the cover management factor. 5.3.5 Calculation of the estimated mean annual soil loss Last all non-erodible surfaces present in the data such as urban areas and waterbodies were removed with the clip raster tool in order to minimize unrealistic flow accumulation values. Stream polyline data acquired from Lantmäteriet was not included in the removal of nonerodible surfaces as the lines representing the streams was deemed too generalized in shape and did not coincide with the real stream well enough as to be included in the analysis. 21 All the four factors were then implemented in the raster calculator tool as equation 1 states to acquire the estimated mean annual soil loss for the present year (1950-2000), the year of 2070 with RCP4.5 and RCP8.5. The estimated mean annual soil loss was classified with the system presented in Panagos et al (2015b) which is the research on European soil erosion done by the ESDAC (European Soil Data Centre) on conditions present in the year 2010 with RUSLE. This choice of classification was done in order to be able to validate and compare the output of this study. 22 6 Results In this section maps will firstly be shown on the whole watershed with the four calculated factors within RUSLE except the soil conservation factor. Three maps containing the estimated mean annual soil loss for each precipitation scenario will later be presented with a complementary table on the total area coverage in percent for each soil loss class. Lastly two detailed maps will be shown to see how the estimated mean annual soil loss will look up close with RCP8.5. These two maps will show small features not visible on the watershed scale maps on the estimated mean annual soil erosion The two locations were chosen as the areas were deemed interesting when considering the variety of estimated mean annual soil loss values. The choice of RCP8.5 stems in showing the maximum possible estimated mean annual soil loss. 23 6.1 The rainfall erosivity factor for Kungsbackaån watershed Figure 5 show the calculated rainfall erodibility factor for the present climate (1950-2000), the year 2070 with RCP4.5 and RCP8.5. For the all the precipitation scenarios the highest value can be found in the northeastern part of the Kungsbackaån watershed where higher elevations are found. The lower values can be seen near the coast to the southeast where the elevation is lower. For the present climate the maximum rainfall erodibility factor value is 337 with a mean of 299. For the year of 2070 with RCP4.5 the maximum value is 390 with a mean of 344 which is an increase of 52 and 44 respectively compared to the present climate. For the year of 2070 with RCP8.5 the maximum rainfall erodibility factor value is 407 with a mean of 359 which is an increase of 69 and 59 respectively compared to the present climate. Figure 5: Map showing the calculated rainfall erosivity factor for present day precipitation (1950-2000), the year 2070 with RCP4.5 and the year 2070 with RCP8.5. © Lantmäteriet & Worldclim.org. 24 6.2 The soil erodibility factor for Kungsbackaån watershed Figure 6 show the calculated soil erodibility factor the Kungsbackaån watershed. The higher soil erodibility factor values are representative of soils where the mean geometric particle size is small for example in soils with abundance of clay and silt. The maximum value in the Kungsbackaån watershed is 0,04. The higher values are therefore found near waterbodies and streams where these kind of soil are more present that in turn is located in the lower parts elevation-wise and especially in the south west part of the watershed. The lower soil erodibility factor values are therefore linked to soils where larger geometric mean particle sizes are more prevalent such as coarse soils overall like moraines where the minimum value in the watershed is 0,003. The lower values are more prevalent in the north eastern part of the watershed on locations with higher elevations. Figure 6: Map showing the calculated soil erodibility factor in the kungsbackaån watershed with a complementary soil map. © Lantmäteriet & SGU. 25 6.3 The slope length and slope steepness factor for Kungsbackaån watershed Figure 7 show the calculated slope length and slope steepness factor for the Kungsbackaån watershed with an image filter applied for better representation in the regional scale with a stretch of standard deviations with the default at 2,5 standard deviations. The higher values can be particularly found near streams and such where there is high flow accumulation and topography with steep slopes. The lower values are found where in areas where there is low flow accumulation and flat topography. The maximum value of 1716 is an extreme outlier in the context as the distribution of the slope length and slope steepness factor is highly skewed towards the higher values. The mean slope length and slope steepness factor value for the Kungsbackaån watershed is 1,7 with a standard deviation of 6. Figure 7: Map showing the calculated slope length and steepness factor for the kungsbackaån watershed. © Lantmäteriet. 26 6.4 The cover management factor for Kungsbackaån watershed Figure 8 show the calculated cover management factor in the Kungsbackaån watershed where the stretch is in percent clip set to 0,5 on maximum and minimum. The higher values are situated where there is sparse vegetation such as over the shallow soils over the bedrock and even on surfaces such as highroads which can be seen in south western part. The lower values can be found mostly in the south west and in areas with high amount of vegetation such as agricultural areas seen in the middle of the watershed. The lower values clearly dominate the watershed as a whole due to the large swaths of forests present in the watershed. The maximum cover management factor value is 0,4 and the minimum is 0,002. The mean cover management value is 0,02 with a standard deviation of 0,01. Figure 8: Map showing the calculated cover management factor in the Kungsbackaån watershed. © Lantmäteriet. 27 6.5 The estimated mean annual soil loss for Kungsbackaån watershed Figure 9 show the calculated estimated mean soil loss for the year 1950 β 2000. Here it can be seen that the soil loss class of 0 β 0,5 t/ha/y is highly dominant in the region covering 96,2% of the watershed. The soil loss classes associated with high estimated mean annual soil loss can be seen close to streams such as in the western part of the Kungsbackaån watershed. High values can also be seen at locations where there is distinct change and slope steepness in the topography as in the center of the Kungsbackaån watershed. The estimated mean annual soil loss for the Kungsbackaån watershed as a whole for the year 1950 β 2000 is 0,11 t/ha/y with a standard deviation of 1,25 t/ha/y. The maximum estimated mean annual soil loss is 1456 t/ha/y. Figure 9: Map showing the estimated mean annual soil loss for the present day conditions of precipitation (1950- 2000). © Lantmäteriet, SGU, Worldclim.org & USGS. 28 Figure 10 show the calculated estimated mean annual soil loss for the year 2070 with RCP4.5. Here it can be seen that the geographic locations of the soil classes remain the same as compared to the present climate (Figure 9). The class of 0 β 0,5 t/ha/y cover 95,4% of the watershed which is a decline of 0,8% compared to the present climate. The high values are still to be found near streams and steep topography with low values permeating throughout the watershed. The estimated mean annual soil loss for the watershed is 0,13 t/ha/y with a standard deviation of 1,43 t/ha/y which is an increase from the present climate with 0,02 and 0,18 t/ha/y respectively. The maximum estimated mean annual soil loss is 1645 t/ha/y which is an increase of 189 t/ha/y compared to the maximum value from the present climate. Figure 10: Map showing the estimated mean annual soil loss in the year 2070 with RCP4.5. © Lantmäteriet, SGU, Worldclim.org & USGS. 29 Figure 11 show the calculated estimated mean annual soil loss for the year 2070 with RCP8.5. Here it can be seen that the geographic locations of the soil loss classes remain at large the same as compared to the present climate and RCP4.5 (Figure 9, 10). The class of 0 β 0,5 t/ha/y cover 95,2% of the watershed which is a decline from the present climate by 1% and 0,2% from RCP4.5. The estimated mean annual soil loss for the watershed is 0,135 with a standard deviation of 1,49 t/ha/y which is an increase of 0,005 t/ha/y and 0,06 t/ha/y compared to RCP4.5. The maximum estimated mean annual soil loss is 1717 /t/ha/y which is an increase of 72 t/ha/y compared to RCP4.5. Figure 11: Map showing the estimated mean annual soil loss in the year of 2070 with RCP8.5. © Lantmäteriet, SGU, Worldclim.org & USGS. 30 Table 1 show the calculated estimated mean annual soil loss in total area coverage in percent for each soil loss class for all three precipitation scenarios. Here one can see that the soil loss class of 0 β 0,5 is declining with increased precipitation. With increased precipitation all other soil loss classes are increasing in total area coverage apart from the highest soil loss class of >50 t/ha/y. No drastic changes in extent are present however with increase precipitation as the 0 β 0,5 class still is dominating the watershed in all the scenarios. Table 1: Table showing the total area coverage in percent for each class of estimated mean annual soil loss for all the precipitation scenarios. Soil loss t/ha/y 0 - 0,5 0,5 - 1 1-2 2-5 5 - 10 10 - 20 20 - 50 >50 Present (1950-2000) 96,2 2,4 1,0 0,4 0,08 0,03 0,01 0,004 Total area in percent 2070 with RCP4.5 2070 with RCP8.5 95,4 2,8 1,2 0,5 0,09 0,03 0,02 0,005 31 95,2 2,9 1,2 0,5 0,10 0,03 0,02 0,005 100 Figure 12 show the calculated estimated mean annual soil loss in the year of 2070 with RCP8.5 in a more detailed extent within Kungsbackaån watershed without an applied visual filter. One can see multiple accounts of rilling occurring throughout the extent where the corresponding estimated mean annual soil class of 2 β 5, 5 -10 and 10 β 20 t/ha/y dominates. The very high values of estimated mean annual soil loss can be seen within locations of high flow accumulations such as within streams and locations of flow accumulation such between ridges. Figure 12: Map showing a detailed extent of the estimated mean annual soil loss in the year 2070 with RCP8.5. © Lantmäteriet, SGU & USGS. 32 Figure 13 show the calculated estimated mean annual soil loss in the year of 2070 with RCP8.5 in a more detailed extent within Kungsbackaån watershed without an applied visual filter. Here one can see a flatter topography compared to figure 12 where there is less pronounced rilling. The very high values of estimated mean annual soil loss are located within the streams going from top right of the extent to the bottom left of the extent. Figure 13: Map showing a detailed extent of the estimated mean annual soil loss in the year 2070 with RCP8.5. © Lantmäteriet, SGU & USGS. 33 7 Discussion and discussion of methodology 7.1 Discussion of the results As the results show the estimated mean annual soil loss is low in the Kungsbackaån watershed for the present (0,11 t/ha/y) and future climate (0,13 t/ha/y with RCP4.5 and 0,135 t/ha/y with RCP8.5). No drastic geographic changes in the case of extent and shape of the estimated mean annual soil loss are present between the precipitation regimes. There is however a shift from the lower to the higher estimated mean annual soil loss classes as the precipitation increases in magnitude. The mean and maximum soil loss is estimated to increase with increased precipitation but in small amounts as precipitation is not set to drastically increase. According to the soil loss classification the estimated mean annual soil loss in general within the Kungsbackaån watershed will stay within bounds of very low amounts of estimated mean annual soil loss despite the increase in mean annual soil loss. The method utilized in this study and the results produced can therefore be acknowledged as successful when comparisons are made with Panagos et al (2015b). In Panagos et al (2015b) the estimated mean annual soil loss of 0 β 0,5 t/ha/y is the dominant class in the west coast of Sweden for the present climate and the result for the present climate presented in this study in general show the same result with the estimated mean annual soil loss of 0,11 t/ha/y. It should be noted that the estimated mean annual soil loss in Sweden as a whole presented by Panagos et al (2015b) does not ring true in the Kungsbackaån watershed. The estimated mean annual mean soil loss presented in Panagos et al (2015b) for the whole of Sweden is at 0,41 t/h/y which is considerably higher than the estimated 0,11 t/ha/y for the Kungsbackaån watershed. This can be due to the fact that there are other locations in Sweden that are increasing the estimated mean annual soil loss such as in the north. By this one can argue that the Kungsbackaån watershed is one of the lesser affected locations by soil erosion in Sweden. There are particular locations where there is high estimated mean annual soil loss that are several in numbers across the watershed. These high values are attributed to locations of high flow accumulation or steep slopes. Panagos et al (2015b) utilizes data in lower resolutions such as the elevation data having a resolution of 25 meters compared to the 2 meters used in this study. The use of 2-meter elevation data however brings a great range of values compared to Panagos et al (2015b) which can be attributed to the more detailed topography achieved in this study. This means that high resolution data can better model potential locations with high estimated mean annual soil loss that would otherwise be filtered out and not represented by low resolution data. Higher resolution data can therefore potentially shed light on where to 34 implement soil erosion mitigation efforts if needed in a very detailed manner. These high values of soil loss are however hard to validate with other studies as equally high resolution data is not widely used at this present time. As an example of this Panagos et al (2015b) argues that elevation data of 25 meters is extremely high. There are factors that are attributing more than others to the estimated increase in soil loss as can be seen in the results. One can argue that the slope length and slope steepness factor play the dominant role when speaking of maximum values in the watershed due to the wide topographic shapes present in the watershed. Slope length and slope steepness factor values in other research can have, for an example, maximum values of 120 as in the article by Zhang et al (2013) which tells us that the maximum values from this study are extraordinary. When speaking generally the slope length and slope steepness factor is quite constant throughout the watershed. This makes it not as important when speaking of watershed scale soil loss. The cover management factor and the soil erodibility factor are arguably the most important factors when speaking in general terms for the whole watershed. They greatly reduce the estimated mean annual soil loss with the very low values associated with them. The reduction is greatly part due to the watershed being covered well by dense vegetation such as forests and that coarser soils dominate the watershed as a whole. There are however locations in the cover management factor with very high values far from the mean that are attributed to urban areas like asphalted roads. The rainfall erosivity factor is moderately important in the watershed but not as substantial as when compared to other research. Other locations can yield far greater rainfall erosivity factor values as in the study by Jiang (2013) on a watershed in Uganda. The study by Jiang (2013) uses the same iteration of the equation to calculate the rainfall erosivity factor, with values ranging from 2800 to 800 which dwarfs the rainfall erosivity factor values for the Kungsbackaån watershed. Furthermore, the future climate rainfall erosivity factor presented in this study does not increase as to drastically change the estimated mean annual soil loss. This notion puts the rainfall erosivity factor in perspective in the Kungsbackaån watershed as not being the most important factor for soil erosion. 7.2 Discussion of methodology and data quality As in the case of data quality there are gaps that are in need to be addressed in order to fully appreciate the results presented in this study. High values associated with the slope length and slope steepness are, as an example, seen near or in streams which indicates that better and more detailed removal of waterbodies and other non-erodible areas need to be made. The 35 same case is true for the cover management factor with the NDVI values as areas such as roads produce high values which should be excluded as they are non-erodible. The complementary data used for this removal process is therefore in too coarse when coupled with high resolution elevation data and NDVI data. This problem could be corrected by manual digitization of streams, roads and bare rock to name a few non-erodible surfaces. This however brings forth a new problem in the sense of time consuming manual digitization and particularly in the case of doing soil loss modelling on the scale of a watershed. Caution should be taken with the extraordinarily high values in the slope length and slope steepness factor and cover management factor that end up in the estimated mean annual soil loss. Especially if these high values are linked to a questionable location such as within streams or on bare rock to name a few. Careful attention should be taken with validation that could be either be realized as explained earlier with detailed digitization work of aerial photography or in-situ validation of land cover or topography. The NDVI data used for the study was from one date in the summer. The summer vegetation has more canopy cover and thus the estimated mean annual soil loss could be higher because of the sparse amount of vegetation in the winter months. The NDVI is also a measurement of healthy productive vegetation which in turn does not encompass organic residues covering the ground as an example (Sotiropoulou et al, 2011). One important aspect is also the rainfall erosivity factor where snowfall and freeze/thaw cycles are not included in the analysis. However, since more days with rainfall and less days with snowfall in the future are to be expected as presented by (Kovats et al, 2014) there is uncertainty in the future predictions of estimated mean annual soil loss. For the rainfall erosivity factor a total of 3 models were used and more credible values could be gathered if more models were implemented to the calculation of the rainfall erosivity factor. The soil erodibility factor values have flaws in the sense of the estimation of mean geometric particle sizes as in the case of the thin layer of soil on top of the bedrock, post glacial fine sand and sandy ice river sediment. The assumption that the bedrock type throughout of the watershed has a thin layer of soil on top is a generalization where manual digitization of aerial photography could remove bare rock from the analysis and in-situ validation of soil types if for example the thin layer of soil is not a moraine. The soil data as in the case of the soil map and the soil sample point data is also subject to question. The soil map has a mean location error of 50-75 meters which brings up questions about the soil types geographical extent and how realistic they are. The soil sample data is 36 gathered from a period of over 5 decades where different soil classification system has been used within that times span as well as uncertainties in the methodology for deriving soil particle size distribution. From this the generalized aspect of the soil erodibility factor is needed to be taken in to account where in-situ field surveys and, as stated above, detailed digitization of aerial photography could make it more representative. Another problem related to the temporal resolution of the NDVI data is that, according to this analysis, the vegetation and general land covers are perceived to be constant throughout present day until the year 2070. This can be a problem as future land covers can change as forests are cut down and replanted as well as the possibility of agricultural expansion as examples. The last uncertainty is about the RUSLE model itself which is about that RUSLE does not incorporate sediment deposition and gully erosion (Fistikoglu & Hermancioglu, 2002). For example, RUSLE only models the dislocation and transportation of soil but not the deposition. It is very likely that the estimated mean annual soil loss for each 2-meter cell is lower due to potential deposition of soil in that very same 2-meter cell. 37 8 Conclusion The results presented in the study show that soil erosion is in general a small problem in the Kungsbackaån watershed β present and as well in the future. The estimated mean annual soil loss will increase in the future as precipitation increases but it will stay within bounds of low soil loss. There are however, in the present and future isolated locations with high amounts of estimated soil loss. These locations with high estimated mean annual soil loss can bring new light on otherwise unseen soil erosion due to coarser resolutions but should be taken with caution if coincided with locations that are non-erodible such as streams and bare rock. The dominant factor for estimated mean annual soil loss in the watershed is the slope length and slope steepness factor when considering maximum values. However, in general terms the cover management and soil erodibility factor are the most important as they contribute to very low amounts of estimated mean annual soil loss. Publically available data can produce a high resolution credible estimation of mean annual soil loss when compared to a study on present day estimated mean annual soil loss. However, inconsistencies exist in the methodology and data which indicates that the results presented in this study should be taken as a rule of thumb rather than absolute values of mean annual soil loss. 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