Water Air Soil Pollut (2015) 226:25 DOI 10.1007/s11270-014-2218-0 Relative Importance Analysis of a Refined Multi-parameter Phosphorus Index Employed in a Strongly Agriculturally Influenced Watershed Bin Zhou & Rolf D. Vogt & Xueqiang Lu & Chongyu Xu & Liang Zhu & Xiaolong Shao & Honglei Liu & Meinan Xing Received: 27 July 2014 / Accepted: 5 November 2014 # Springer International Publishing Switzerland 2015 Abstract Eutrophication is a main cause for impairment of freshwater ecosystems, and diffuse phosphorus (P) loss from agricultural land is usually the main cause for freshwater eutrophication. The P index is a simple and practical tool for estimating the potential P loss risk. In a preceding study, a refined P index scheme was developed and validated. In the current study, the relative importance of the 14 input variables used is assessed in order to determine their relative significance to the final P index value. The backpropagation network with Garson’s algorithm was employed in order to capture the significance of interactions among the input variables. The study clearly shows the source factors, especially the degree of P saturation (DPS), along with management practices regarding application of inorganic P fertilizer and livestock manure, are the most important factors governing the P loss in the very high and high risk areas. Conversely, the transportation factors governed P loss risk in the low and very low risk areas. Recommended management strategies for mitigation of P loss from the different risk zones are proposed based B. Zhou : R. D. Vogt : L. Zhu Department of Chemistry, University of Oslo, 0315 Oslo, Norway C. Xu Department of Geosciences, University of Oslo, 0315 Oslo, Norway B. Zhou (*) : X. Lu : X. Shao : H. Liu : M. Xing Tianjin Academy of Environmental Sciences, Tianjin 300191, China e-mail: zhoubin19821214@gmail.com on the relative importance analysis and practical constraints. A scenario analysis, based on a gradient reduction of DPS, through decreased application of both inorganic P fertilizer and P emissions factors from livestock manure, gave a reduction of average P index from 7.3 to 57 %. Moreover, the proportion of high- and veryhigh-risk area may be reduced from 38 to 23 % and 24 to 13 %, respectively. Keywords P index . Relative importance analysis . Garson algorithms . Targeted best management practices 1 Introduction Phosphorus (P) is usually the main growth-limiting factor in aquatic systems; the fluxes of bio-available P to surface waters have a governing role in the water eutrophication process (Brown et al. 1999; Carpenter et al. 1998). Numerous studies have documented that diffuse P losses from agricultural land is the major cause for fresh water eutrophication, especially in developed countries (Elliott et al. 2006; Jarvie et al. 2013; Wu et al. 2012). Identifying and assessing risk for diffuse P loss from agricultural areas, and thereby improving our capability to control the P fluxes, especially at the watershed scale, are crucial prerequisites for selecting the most costefficient abatement strategies towards eutrophication. Lemunyon and Gilbert (1993) initiated the development of a modeling tool for assessing potential loss of P, later referred to as the P index. Since then, P index model has 25 Page 2 of 13 grown more comprehensive by incorporating more governing factors (García et al. 2011; Good et al. 2012; Marjerison et al. 2011). This index provides a semi-quantitative estimation of the susceptibility for P losses from agricultural land by considering both source and transport factors. There are likely strong synergistic and antagonistic effects among these explanatory parameters, especially between the source and transport factors. These combined effects were incorporated in a refined phosphorus index, developed and validated in our previous work (Zhou et al. 2014). Integrated risk values for potential P loss and their spatial distribution characteristics can thereby be readily assessed. However, knowledge of relative importance of the individual input variables is lacking. Knowledge regarding the relative importance of the input factors guides the watershed manager to focus on the most relevant factors thereby improving the explanatory ability of P index. As powerful interpretive methods, relative importance and sensitivity analysis elaborate the influence of the explanatory variables on the response variable. To our best knowledge, only a few studies on this topic have been performed. Brandt and Elliott (2005) conducted a sensitivity analysis of eight input variables employed in a P index assessment in Pennsylvania, using a partial differentiation algorithm between output and input variables. Similarly, Beaulieu et al. (2006) performed a sensitivity analysis of ten explanatory variables used in their P index assessment in Quebec by means of the Monte Carlo model and stepwise regression algorithm. Although these sensitivity analysis methodologies are different, both of these studies were based on the assumption that only one input variable varied at a time, while the others were kept constant. The real-world interdependence among P index input variables were thus not taken into consideration in these sensitivity analysis (Gevrey et al. 2006; Mastrorillo et al. 1998). This is problematic as the refined P index clearly demonstrated the importance of these interactions (Zhou et al. 2014). Furthermore, such an approach is not compatible with the concept of the refined P index. The artificial neural networks (ANNs) and relevant weight algorithms have provided new thoughts in this field. ANNs are imitations of biological neural networks, akin to the vast network of neurons in human brain. Over the last couples of decades, ANN models have received increased attention and wide application as an intelligent, powerful data analytical and forecasting Water Air Soil Pollut (2015) 226:25 technique in the field of agricultural, environmental, and ecological sciences (Lek and Guégan 1999). At present, multi-layer feed-forward neural networks, trained by backpropagation algorithm (BPN), have gained popularity and are applied more often than other networks types (Mumtaz et al. 2008). In the BPN, all neurons are arranged in successive layers, and the information flows unidirectionally from input layer to output layer, through hidden layer(s) with connection weights among adjacent layers (Lek and Guégan 1999). Garson (1991) proposed an algorithm based on the neural network connection weights in order to determine the relative importance of each input variable, similar to general sensitivity analysis, striving to quantify relationships between explanatory and response variables. However, the main difference lies in the consideration of potential interactions among variables. Using BPN together with Garson’s algorithm, all input variables are allowed to vary simultaneously. The magnitude and sign of the relationship between input variables are managed, in compliance with our conceptual understanding. This is thus more equivalent to the real-world condition compared with traditional sensitivity analysis approach using partial derivative algorithm. The current study assesses relative importance of the 14 input variables used in the refined P index and quantifies their individual contributions to the final P index (PI) value within each risk class using BPN with Garson’s algorithm. Based on the identified order of relative importance within different risk areas, a series of scenario analysis was subsequently conducted identifying the effect of targeted P loss control strategies in a practical manner. 2 Material and Methods 2.1 Study Area The study area (∼436 km2) is a strongly agriculturally influenced watershed (117°25′–117°43′E, 39°56′– 40°18′N) located in the north of Tianjin municipality, in northern China (Fig. 1). The region has a sub-humid continental monsoon climate featuring four distinct seasons, with an annual mean temperature of 14 °C and an average annual precipitation of 653 mm. Nearly threefifths of precipitation occurs in the summer period between July and September (JCBS 2011). The study area is characterized by a varied topography: The lowlands Water Air Soil Pollut (2015) 226:25 Page 3 of 13 25 Fig. 1 Location of studied watershed and distribution of risk areas based on the P index (Bin Zhou et al. 2014) (with an average gradient of less than 2°) and flat plains (2-6°) account for 22 % and 25 % of study area, respectively, together constituting nearly half of the watershed. Hilly land with gradients of 6–15°, low mountain region with gradients of 15–25°, and mountain region (>25°) accounts for 23 %, 19 %, and 11 % of the watershed, respectively. On the macro-scale, the overall elevation declines from the north to the south, where a large water reservoir (Yuqiao) is situated. There is a mix of predominantly Gleysols in the lowland and lithosols in the mountain. The former is derived from deltaic alluvial sediments, while the latter is formed through weathering 25 Water Air Soil Pollut (2015) 226:25 Page 4 of 13 of the parent sedimentary bedrock consisting of sandstone and limestone. Approximately 130,000 residents live within the watershed. Agricultural crop production and livestock breeding are the main sources of income and employment, although there are also several small businesses, such as hotels, catering, and clothing factories. The local environmental protection bureau (JCEPB 2012) reported extensive and long-term excess application of inorganic P fertilizer and discard of livestock manure. In a synoptic soil survey, a total of 126 top soil samples (0–15 cm) were collected throughout the watershed, capturing the span in soil types and land-use, and analyzed for bio-available P (BAP) and P sorption index (PSI). Based on soil pH, either the Olsen (Olsen et al. 1954) or Bray-1 (Bray and Kurtz 1945) method was used for BAP analysis, complying with the recommendation by U.S. Department of Agriculture (Elrashidi 2010). PSI was determined and calculated by Eq. 1 according to Bache and Williams (1971): 2.2 Description of the P Index X PSI L kg−1 ¼ logC 2.2.1 The Refined P Index Model A refined P index model (Bin Zhou et al. 2014) was evolved from a previous P index model (Zhang et al. 2003) applied in the same watershed. The main explanatory input factors and their weightings to the model are summarized in Table 1. Agricultural management and environmental factors, such as P fertilizer application, manure and sewage P production, and irrigation factor, were extracted from the yearbook data of each individual village and divided by its agricultural land area. The factor values were assigned to their corresponding agricultural land patch in an ArcGIS platform. ð1Þ where X is the amount of sorbed P (milligrams P per kilogram) on the soil and C is the P concentration in solution at equilibrium (milligrams P per liter). Degrees of P saturation (DPS) in soils were determined based on the BAP and PSI by Eq. 2: BAP DPSð%Þ ¼ 100 ð2Þ BAP þ PSI The final values of the DPS factor were assigned to a grid (250×250 m) of the study area through inverse distance weighted interpolation (Childs 2004). Soil erosion factors for each grid were calculated using Revised Universal Soil Loss Equation (RUSLE) (Renard et al. Table 1 Factor weightings and loss ratings applied in the refined P index scheme Factors Unit/range Weight Risk rating value Very low 2 Low 4 Medium 6 High 8 Very high 10 Source factors DPS % 1.0 <5 5–10 10–15 15–25 >25 P fertilizer kg P ha–1 year−1 0.75 0 1–30 30–90 90—150 >150 Livestock manure kg P ha—1 year—1 0.75 0 1–30 30–90 90–180 >180 Daily life sewage kg P ha–1 year–1 0.75 0 0–8 8–16 16–24 >24 Soil erosion: A=R×K×LS×C×P ton ha–1 year–1 1.0 <5 5–10 10–15 15–25 >25 Runoff amount mm year–1 1.0 <195 195–210 210–225 225–240 >240 Irrigation amount mm ha−1 year−1 0.75 0 0–380 380–420 420–460 >460 Soil drainage class 0–5 0.85 5 4 3 2 0 Transportation factors I: erosion process Transportation factors II: migration distance Water course erosion 0–1 0.85 0–0.2 0.2–0.4 0.4–0.6 0.6–0.8 >0.8 Flow length km 0.85 >50 38–50 28–38 18–28 <18 Water Air Soil Pollut (2015) 226:25 Page 5 of 13 25 1997). Runoff factors were determined by mean annual rainfall (millimeters) and the annual runoff coefficient. Daily metrological data for the period 2006 to 2012 from local weather stations was used to derive the mean annual rainfall. Annual runoff coefficients for different land-use were adopted from a previous study in the same area (Chen and Zhu 1991). The soil drainage class factors were extracted from the Harmonized World Soil Database (Nachtergaele and Batjes 2012). Water course factors were based on a river network map and an improved watercourse erosion model by introducing a nonlinear watercourse erosion factor (Sivertun and Prange 2003). Flow length factors were calculated using data from a digital elevation model by means of the ArcGIS 10 hydrological analyst module. In order to capture the real-world interactions among the factors, the applied structure of P index scheme (Eq. 3) had been re-organized relative to the former P index study by Zhang et al. (2003). The migration distance factors were extracted from the transportation scheme due to the restriction to other erosion-based transportation factors. (forest and shrub). This reflects that the source factors are the primary drivers for P loss within the high-risk zones. PI ¼ ½∑ S α wα ∑ T Dβ wβ ∑ T E γ wγ 2.3.2 Multi-layer Feed-Forward Neural Network 2.3 Relative Importance Analysis 2.3.1 Data Preparation A spatial database was built consisting of 6,983 grid points (250×250 m) covering the study area. All explanatory factors and final PI values were added into the database. Prior to the neural network exercise, the original data set (dependent and independent variables) were normalized using the Eq. 4: Ri ¼ S i −minðS Þ maxðS Þ− minðS Þ ð4Þ where Ri is the normalized value for observation i, Si is the original value for observation i, and min(S) and max(S) represent the minimum and maximum values of targeted data set S, respectively. ð3Þ where Sα and wα are the source factor α rating, and its weighting value, TDβ, and wβ are the transportation factor β rating and its weighting value, which are based on migration distance, TEγ and wγ are the transportation factor γ rating and its weighting values, which are based on erosion process, PI is the P index value. The PI results were categorized into five risk rating classes (Table 1) based on Jenks natural breaks classification method (McMaster 1997) and presented in Fig. 1. 2.2.2 Spatial Distribution Characteristics of PI The algorithm of backpropagation in neural networks consists of the following steps (Lek and Guégan 1999): 1. Number of nodes (input, hidden, and output layer) is set relative to the number of input and output variables. 2 Learning rates and the maximum iterations (set all weights and thresholds to small random values) are initialized. 3. Input vectors are given to the input nodes, and the output vectors are presented to the output node. 4. Input values for the hidden nodes are calculated based on Eq. 5: n S j ¼ ∑ xi W i j The percentages of area with specific geographical factors found within each risk class were assessed in order to study their relationship with the PI values (Fig. 2). The results show that the areas in the vicinity of rivers (<100 m) and low elevation zones (i.e., <35 m above the reservoir) are strongly represented in the very-highand high-risk zones. This reflects that the plain lowland area and riverside zones are the main hot-spots for potential P loss. With regards to land-use structure, there is a clear increasing potential for P loss with increasing share of farmland or decreasing proportion of natural land-use ð5Þ i¼1 where xi is the input variable at the node I and Wij is the weight from input node i to hidden node j. Then the output was derived from the hidden nodes according to Eq. 6: Y j ¼ f Sj ¼ 1 ð6Þ 1 þ e−S j where Yj is the output variable from hidden node j. The same algorithm was employed to calculate the inputs to the output nodes. 5. Error term for the output node was calculated. 25 Water Air Soil Pollut (2015) 226:25 Page 6 of 13 Fig. 2 Percentage of related geographic factors within each P loss risk zones 6. Iteration ending condition was determined: When the network errors were larger than predefined threshold or the number of iterations was less than the maximum iterations, then the calculation process continued (repeat steps 3–5) till one of these criteria was met. In this study, a three-layered feed-forward neural network (one input layer, one hidden layer, and one output layer) was employed (Fig. 3). A cross-validation method (Olden and Jackson 2000) was applied to determine the optimal number of hidden neurons. It was found that the lowest RMS error was achieved when the number of neurons in the hidden layer was set at 4. The Neural Interpretation Diagram was plotted to show the structure of the structure of the multilayer perception neural network used in this study and its connections between layers in Fig. 3. by Goh (1995). The details of the algorithm are given in Eq. 7: Qik ¼ L N X X jwi j v jk j= jwr j j j¼1 N X L X i¼1 j¼1 r¼1 N X jwi j v jk j= jwr j j ! ð7Þ r¼1 where wij is the connection weight between the input neuron i and the hidden neuron j, vjk is the connection weight between the hidden neuron j and the output neuron k, and ∑Nr¼1 wr j is the sum of the connection weights between the N input neurons and the hidden neuron j. Qik represents the percentage of influence of the input variable on the output. In order to avoid the counteracting influence due to positive and negatives values, all connection weights were given their absolute values in the modified Garson algorithm. 3 Results and Discussion 2.3.3 Garson Algorithm Garson (1991) proposed a method of partitioning the neural network connection weights in order to determine the relative importance of each input variable within the network. The same idea has been modified and applied 3.1 Relative Importance of Input Parameters to the P index Model The very-high-risk area is strongly governed by the source factors, e.g., high DPS and large fertilizer application Water Air Soil Pollut (2015) 226:25 Page 7 of 13 25 Fig. 3 Neural interpretation diagram for neural network interpreting the final PI values as a function of 14 input variables revealed relatively high sensitivity scores (Fig. 4). This mainly reflects that the agricultural land (Farmland and Orchards) dominate this very-high-risk area (94 %) (Fig. 2). The excess application of inorganic P fertilizers and manure from the extensive livestock and poultry breeding, as well as sewage to the fields (JCBS 2012; JCEPB 2012) jointly contribute to the high level of P enrichment in the top soil. In addition, the degree of P saturation (DPS %) had generally a high risk level (average value ca. 21.5 %) due to high concentration of bioavailable P and the limited capacity of the soil to sorb P. Where there is a very high risk for P loss, the runoff level and water course erosion factors are shown to have the greatest relative importance in the transportation scheme. The extent of low-lying terrain and intensive agricultural draining networks has a strong influence on the potential risk for P loss. The riverine region should therefore be prioritized as the main target area for control strategies abating P loss. The high-risk zone was also significantly influenced by agricultural activities, since agricultural land compromised 66 % of its land-use. The PI score was therefore mainly governed by the DPS (%), as well as the application of P fertilizer and livestock manure. The relative importance of DPS (%) and application of P fertilizers factors are correlated in the high- and veryhigh-risk areas, most likely because that P sorption capacity maintained a relatively uniform P sorption capacity while soil bio-available P generally determined by P fertilizer usage. The point that water course and runoff level factors had relatively high sensitivities in the high-risk areas emphasizes the significance of riverine agricultural areas in regards to controlling P transportation. Fig. 4 Relative importance of the 14 input variables on the PI score based on Garson’s algorithm (Garson 1991) 25 Page 8 of 13 Medium-risk areas are generally distributed in the intermediate region situated between the mainly natural and predominantly human-affected regions. Compared with the high-risk areas, the proportion of farmland is significantly lower (19 %) in the medium-risk areas, leading to lower sensitive scores for DPS (%) and application of P fertilizer. Similarly, the relative importance of application of manure was significantly lower than in the high-risk areas due to less livestock farming. On the other hand, the application of sewage showed the highest sensitivity in the source factor scheme. This is due to relatively dense population in this area, with the largest residential region (15.36 km2). In regards to the transportation factors, vegetation coverage (RUSLE-C), slope-length (RUSLE-LS), and runoff level factors mainly govern the PI in the median-risk zone, implying that the natural factors associated with soil erosion begin to take control of the potential for P loss. The influences of human activities in the low-risk zone are less than in the medium-risk zone due to a larger proportion of natural forest and shrub land (48 %). This led to a drop in sensitivity of source factors on the PI, especially the application of P fertilizers and livestock manure. The analysis instead shows that the transportation factors govern the potential for P loss in this zone. The draining class and soil texture (RULSE-K) factors associated with soil physical properties, especially, gained higher sensitivities. This is likely reflecting a greater diversity of soil types in this low-risk area. Similar to the low-risk area, source factors have relatively weak sensitivity in the very-low-risk area. Due to its relatively rugged morphology, the influences of human activities are low, with farmland and residential areas constituting only 2 % and 5 % of the very-lowrisk area, respectively. Instead, the transportation factors governed the potential risk for P loss: Flow length, vegetation coverage (RUSLE-C), and water course erosion showed high sensitive scores, with a record high score in relative importance for the flow length factor. This factor is the measure of the actual migration distance of surface runoff, which becomes larger as the terrain complexity increases. 3.2 Differentiated BMPs for Controlling P loss The dominant factors influencing the PI in each P loss risk area varied. Differentiated best management practices (BMP) controlling P losses need therefore to be tailored for each risk area class. With this perspective, Water Air Soil Pollut (2015) 226:25 relevant background factors and recommended abatement strategies for reducing P losses in each of the risk zones are presented in Table 2. Although only accounting for 8 % of the watershed, the very-high-risk area is considered the most important abatement zone due to its large P losses from intensive agricultural activities, augmented by numerous rivers and agricultural channels and its proximity to the targeted Yuqiao reservoir. Relatively stringent P loss strategies focusing on the agricultural management practices are essential for this area. Excessive P fertilization is widespread in the study area according to the survey from local environmental and agricultural departments (JCBS 2012; JCEPB2012). This heavy loading of excessive P input, especially in fields used for vegetable farming (around 224 P kg ha−1 year−1) (JCBS 2012), needs to be radically reduced. Special focus should be given to agricultural fields already possessing a high degree of P saturation (DPS) in the top soil. A main P source is dung from extensive livestock and poultry breeding used as manure or simply disposed of in a manner that enhances its negative effects. This should be strictly controlled or a system for collection of the dung needs to be established. As for the transportation part, the agricultural fields draining directly into the rivers and Yuqiao reservoir need to be given special attention. Vegetative buffer strips have been demonstrated by several studies (Dillaha et al. 1988; Lee et al. 1998; Syversen 2005) to be an efficient abatement action in such areas, showing average removal efficiencies of P from 37 to 89 %. Radical management policies, such as prohibiting or limiting the agricultural practice in the high-risk zone, is not considered feasible considering the large local population dependent on their agricultural production for their livelihood. Instead, P-based nutrient management plans (NMPs), based on environment and economic benefits (Weld et al. 2002), are worth considering. It is possible to fully meet crop requirements while at the same time significantly reduce the excessive nutrient input through soil P testing, providing formulated advice regarding P fertilization to the farmer. Additionally, the potential risk for soil P loss can be greatly suppressed through more optimal timing of fertilizer application avoiding heavy rain periods, deep application of P fertilizer, and leaving crop residues (Dudenhoeffer et al. 2013; Fawecett 2009). The dung from livestock and poultry farming contributes substantially to the P load due to the lack of any alternative for disposal of the dung. Moreover, large amounts of animal dung are Main governing factors 1. P fertilizer application 2. DPS (%) 3. Livestock breeding P emission 4. Water course erosion 1. Soil drainage class 2. RUSLE-C 3. Water course erosion 4. RUSLE-K Very low (130) 1. Flow length 2. RUSLE-C 3. Water course erosion 4. RUSLE-R Low (88) Medium (106) 1. RUSLE-C 2. Runoff level 3. Daily life sewage P emission 4. P fertilizer application High (97) Very high (35) 1. DPS (%) 2. Runoff level 3. P fertilizer application 4. Livestock breeding P emission Risk ranking (area, km2) 5.1 4.1 Loamy sand Sandy loam 15 7.8 18 12 10 7.1 5.7 303 122 73 56 33 Average Average Average shortest slope elevation (m) distance to (degree) Yuqiao reservoir (km) Sandy clay loam 6.3 Loam Clay-loam Leading soil texture class Related background factors Table 2 Differentiated best management practices within different P loss risk zone 1. Prohibit field cultivation in this region; 2. Limit the development of orchard in the ecologically vulnerable area; 3. Use berms, silt fencing and erosion control blankets to stabilize the soil at the high slope area 1. Implement natural forest conservation; 2. Install vegetation filter strips along stream banks to keep soil out of the stream; 3. Encourage to develop terrace for orchard farming 1. Vegetation restoration for bare soil, especially on the critical riverine area; 2. Reduce tillage, apply P fertilizer in the sub-soil and mulch bare soil with dry branches and fallen leaves for orchard filed; 3. Set up household sewage treatment plant 1. Carry out P-based nutrient management; 2. Reduce tillage behaviors and leaving crop residues; 3. Use vegetative buffer strips along the river bank and agricultural channel 1. Prohibit or restrict agricultural production requiring high P fertilizer inputs (i.e., vegetable); 2. Prohibit or restrict size of livestock and large scale poultry breeding; 3. Use vegetative buffer strips along the in the riverine area and the shore of Yuqiao reservoir Targeted BMPs controlling P loss Water Air Soil Pollut (2015) 226:25 Page 9 of 13 25 25 Page 10 of 13 carelessly disposed of directly into the agricultural channel or on wasteland along the river banks (JCEPB 2012). A system for manure collection should thus be established in this zone, ensuring a sound disposal of the animal dung. Alternatively, the scale of livestock and poultry farming should be regulated dependent on the carrying capacity of crop farming, as commonly practiced in most western countries. In the medium-risk zone, the main potential source of P loss is from sewage and by P fertilization in orchards. According to the local statistical data (JCBS 2012), approximately 47,000 residents live in this risk zone. Sewage from household tanks empties into the nearest channels or is used as fertilizers in the low-lying farm land or fishpond, without prior treatment. Sewage collection network and treatment system is not an option in such rural areas due to high construction cost. Again, a system for collection of sewage which, along with the animal dung, can be utilized in a large-scale biogas plant may be a solution. The sludge from the bioreactor is enriched in bioavailable P and is therefore refined for use as fertilizer in other regions. Horticulture of orchards comprises more than 20 km2 in this risk zone. The synoptic studies of BAP documented that the P fertilization in the orchards is an important potential P source (Ojwando 2014). A series of BMPs focusing on orchard garden, such as reducing fertilizing, applying P fertilizer in the sub-soil, and leaving branches and litterfall to increase the soil organic content and thereby the soils ability to hold P, is therefore suggested. As for the transportation part, the vegetation cover factor (RUSLE-C) showed high sensitivity in this risk zone. It has been reported that enhanced vegetation cover generally is considered as one of the most effective manners to improve soil nutrient-holding capacity (Li and Shao 2006) and limit erosion. Vegetated filter strips consisting of perennial plants is therefore recommended as an amendment policy for limiting the P transport in this risk zone. Low- and very-low-risk area had a similar set of important sensitivity factors (Table 2). The transportation factors are the main governing factors for potential P loss due to the rugged topography and low anthropogenic influence. Developing effective soil erosion control strategies is thus the main key to control potential P loss in this region. As for orchard farming, terraces should be considered as the suggested cultivation way in order to reduce the steepness and length of slopes. For crop planting, a relatively strict management policy should be implemented due to the fragile ecological Water Air Soil Pollut (2015) 226:25 environment with relatively shallow skeleton soil on the steep slopes. In addition, natural forest conservation and restoration are also important measures to improve the ecosystems capacity to retain nutrients. In the steep slope area, berms, silt fencing, and erosion control blankets can be used as measures for controlling soil erosion. Converting the large number of decommissioned fish farms ponds along the shore of the reservoir into constructed wetlands by redirecting the small channels and rivers through these ponds will also serve to significantly reduce the flux of P into the reservoir. Numerous studies have documented a significant removal of nutrients in constructed wetlands receiving urban or agricultural stormwater (Carleton et al. 2001), and downstream from agricultural hot spots (Gottschall et al. 2007; Dunne et al. 2005). 3.3 Effect Scenarios of Abatement Actions in the Critical Areas Application of inorganic P fertilizers and livestock manure in the very-high- and high-risk areas were selected as objects for the scenario analysis based on their strong governing effect on the PI in these risk zones and their practical operability in regards to agricultural management. The results from nine scenarios for each risk area are listed in Table 3, according to their overall effect. Reduction gradients ranging from 0 to 85 % were set for the application of P fertilizer and livestock manure P emission factors. The change in DPS was determined relative to ‘business as usual’ based on the current amount of applied P fertilizer and the number and type of livestock in each village. DPS is determined using Eq. 2, based on measured BAP (bioavailable P) and PSC (phosphorus sorption capacity). PSC generally depends on the physico-chemical characteristics of soil and maintains a relatively constant level within the considered timeframe (Pinto et al. 2013). On the other hand, BAP is mainly governed by agricultural management practices and the properties of the soil (Menon and Chien 1995). The application of P fertilizer and emissions of P from livestock manure jointly contributed nearly 75 % of the total P loss (TMWA 2010), and the background BAP level is relatively low (less than 3 mg kg−1) (Wang 1982). All of the applied P fertilizers were considered as BAP sources, while the BAP amount from different types of manure were determined based on previous studies (Dagna 2012; Laboski et al. 2006). The mean DPS reduction rates achieved by the Water Air Soil Pollut (2015) 226:25 Page 11 of 13 25 Table 3 Scenario analysis based on different P controlling strategies Risk area (area proportion) P fertilizer reduction (%) Livestock P emission reduction (%) Mean DPS reduction (%) Mean PI reduction (%) ∑PI highðveryhighÞ 100 ∑PI overall High-risk area (21.33 %) 0 0 0 0 38 25 0 20 9.6 32 55 0 50 20 29 85 0 65 36 27 0 25 6.6 7.3 31 0 55 16 15 30 0 85 21 22 29 25 25 25 16 31 55 55 55 34 27 85 85 85 57 23 0 0 0 0 24 25 0 15 11 20 55 0 38 17 19 85 0 61 37 16 0 25 1.3 6.0 20 0 55 9.6 13 19 0 85 18 24 18 25 25 25 18 20 55 55 55 32 17 85 85 85 63 13 Very-high-risk area (7.64 %) different combined scenarios of abatement actions are listed in Table 3. The P fertilizer application factor shows a stronger sensitivity to the DPS and PI values compared with the livestock manure P emission factor. This is in accordance with the sensitivity analysis results and is conceptually sound since the P fertilizer generally possesses a higher environmental risk due to its relatively high mobility and bioavailability. In contrast, the release of BAP from livestock manure usually takes place over a relatively longer period due to the slow decomposition processes. Compared with the high-risk area, a more pronounced effect of the abatement actions was observed on the PI values in the very-high-risk areas. This reflects that the source factors possess more significant influences on the PI value in the very-high-risk area than in the high-risk area. The combined effect of the abatement scenarios on the total risk for P loss was quantified by taking the ratio of the accumulated PI grid value for the critical area (high- and very-high-risk areas) over the accumulated PI grid value for the overall study area. In the high- and very-high-risk areas, the risk level for P loss was reduced from 38 to 23 % and from 24 to 13 %, respectively (Table 3). This may serve as a quantitative indicator for decision-makers in terms of setting up cost-effective P control plans. 4 Summary and Conclusions A multi-parameter sensitivity analysis of a refined P index model was performed for an intensely agriculturally influenced watershed using a BPN network model with Garson algorithms. The following conclusions are made from this study: 1. Source scheme factors generally show more significant sensitivities in the very-high- and high-risk ranking areas. DPS factor showed a similar trend to the P fertilizer application. In addition, as the main hydrological process of P transportation, runoff level and water course erosion factors also exhibit relatively significant sensitivities in the transportation scheme. This clearly reflects the importance of considering 25 2. 3. 4. 5. Page 12 of 13 the combined effects of explanatory variables in the revised P index. In the transition zone, between predominantly natural and human-affected regions, the average sensitive score of source factors and transportation factors were similar. P emission from sewage and orchard P fertilization were the main source factors governing the PI. The most important transportation factors were vegetation coverage and runoff level. In the low- and very-low-risk zones the potential risk for P loss was mainly governed by transportation factors, especially the vegetation coverage (RUSLE-C) and flow length. This is mainly due to strong erosion factors and overall low source factors. Relatively comprehensive P control strategies are required in order to curb the excessive losses of P. The extensive livestock breeding needs to be restricted, especially in the vicinity of reservoir and riverine zone. Alternatively, a system for collection of dung from the livestock (as well as sewage from the population) needs to be established. In addition, the implementation of P-based NMPs is required, especially for agricultural crops demanding high P fertilizer inputs (such as vegetables). Due to the dominance of transportation scheme factors in the low- and very-low-risk areas, the corresponding P control strategies in these regions should mainly focus on avoiding soil erosion by vegetation restoration. The scenario analysis indicates that decreasing the application of P fertilizer and manure by up to 85 % will lead to a decrease in the proportion of high- and very-high-risk area from 38 to 23 % and 24 to 13 %, respectively. 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