Modeling of Heavy Metal ( Ni , Mn , Co , Zn , Cu , Pb , and Fe ) and PAH Content in Stormwater Sediments Based on Weather and Physico-Geographical Characteristics of the Catchment-Data-Mining Approach

The processes that affect sediment quality in drainage systems show high dynamics and complexity. However, relatively little information is available on the influence of both catchment characteristics and meteorological conditions on sediment chemical properties, as those issues have not been widely explored in research studies. This paper reports the results of investigations into the content of selected heavy metals (Ni, Mn, Co, Zn, Cu, Pb, and Fe) and polycyclic aromatic hydrocarbons (PAHs) in sediments from the stormwater drainage systems of four catchments located in the city of Kielce, Poland. The influence of selected physico-geographical catchment characteristics and atmospheric conditions on pollutant concentrations in the sediments was also analyzed. Based on the results obtained, statistical models for forecasting the quality of stormwater sediments were developed using artificial neural networks (multilayer perceptron neural networks). The analyses showed varied impacts of catchment characteristics and atmospheric conditions on the chemical composition of sediments. The concentration of heavy metals in sediments was far more affected by catchment characteristics (land use, length of the drainage system) than atmospheric conditions. Conversely, the content of PAHs in sediments was predominantly affected by atmospheric conditions prevailing in the catchment. The multilayer perceptron models developed for this study had satisfactory predictive abilities; the mean absolute error of the forecast (Ni, Mn, Zn, Cu, and Pb) did not exceed 21%. Hence, the models show great potential, as they could be applied to, for example, spatial planning for which environmental aspects (i.e., sediment quality in the stormwater drainage systems) are accounted.


Introduction
A rapid increase in urbanization has been observed in the last few decades, especially in cities. Intense anthropogenic activity is a contributing factor in the deterioration of the natural environment.That includes, among other things, the creation of increasingly larger areas of public use that are impermeable to stormwater.The resultant high rate of runoff discharge may lead to the uncontrolled pollution of natural waters.Consequently, it is necessary to develop separate stormwater drainage systems intended for stormwater collection and treatment [1][2][3].
The composition of stormwater and sediments formed in stormwater drainage systems shows high variability [4][5][6].The complex dynamics seen in these phenomena depend on many factors.They include catchment management and the sealing of its surface, road network structure and type of road surface, traffic volume, area topography, and the deposition of atmospheric pollution (the amount of pollutants carried from the atmosphere to the surface) [7,8].Conversely, deposition and washing-off are affected by variations in atmospheric conditions (e.g., duration and intensity of precipitation) over an annual cycle [9].Sediments accumulated in drains and also the drainage system facilities pose a serious environmental hazard.Due to large amounts of and contamination with heavy metals and polycyclic aromatic hydrocarbons (PAHs), these toxic sediments create a major hazard to living organisms.They are also a principal source of the surface pollution of flowing waters (stormwater receivers).As a result, significant contamination of the receiver may lead to changes in the local biota and biodiversity of dependent ecosystems [10][11][12][13].
In order to select appropriate measures to reduce the adverse impact of stormwater and stormwater-transported particles on the receiver, it is necessary to understand the process of pollution transport.It is equally important to investigate the impact of changes in catchment management and use on the concentration of pollutants (heavy metals, PAHs) in stormwater sediments.In the literature, many studies on the quality of stormwater can be found.The studies mainly focus on stormwater discharged into receivers at highwater stages [10,14,15].Far fewer studies concern the quality of sediments accumulated in stormwater drainage systems with respect to their use or management [9,16].Research papers rarely deal with the possibility of forecasting sediment quality based on the parameters that describe catchment physiography and weather conditions, which can be easily determined with the use of GIS techniques.Simple models with satisfactory predictive capabilities would provide an important tool to support decision-making processes related to land use and stormwater management in urban catchments.
This study aims to: (i) confirm the validity of the research hypothesis that it is possible to predict the quality of sediments produced in urban stormwater drainage systems on the basis of generally available data, and (ii) to offer a methodology for designing predictive models of stormwater sediment quality that could be a tool to support the rational management of stormwater sediments.

Study Area
The study covered four urban catchments located in the northwestern part of Kielce, Poland (Figure 1).These catchments differ in terms of area, land features, development, and length of the drainage system.The catchment of the Jarz ąbek stormwater treatment plant (SWTP) has the largest area (A = 805 ha).Covering 38.70% of its total area, green areas prevail in the catchment, whereas industrial areas constitute 22.30% (Table 1).Stormwater from the catchment is drained through a network with a total length of L pip = 38.0km.The drainage system consists of two main collectors with diameters of φ = 300-1800 mm, equipped with more than 300 street stormwater inlets and two open ditches with a length of 5.20 km.The highest point in the catchment area rises to 339.00 m a.s.l., while the lowest point lies at 245.00 m a.s.l.The slope of the catchment is 3.38%.
The Jesionowa SWTP catchment (A = 355 ha) is the second largest.Located in the northwestern part of Kielce, it includes highly urbanized areas.The stormwater drainage network, with a total length of L pip = 16.0 km (φ = 200-1500 mm), contains approximately 300 street inlets.The catchment land use consists of industrial sites with large commercial facilities (71.30%) and low-rise residential buildings (14.10%).The elevation of the catchment's highest point is 315.00 m a.s.l., whereas the lowest is 265.00 m a.s.l.The catchment slope is 2.65%.The Kaczmarka SWTP catchment is located in the very center of Kielce (Figure 1).The land use includes predominantly high-rise residential buildings (36.60%), industrial and service areas (26.20%), and other residential buildings (24.20%).The drainage system consists of a main collector (φ = 300-600 mm) that is 2.1 km long, as well as side channels (φ = 200-1000 mm), with a total length of 13.4 km.About 400 stormwater inlets and connections to residential and commercial buildings are included in the system.The highest point in the catchment area is Karczówka Hill, lying at 339.00 m a.s.l.The lowest point is located at 258.00 m a.s.l.The catchment slope is 5.2%.
The Witosa SWTP catchment, with a total area of 82.0 ha, is the smallest.The drainage system consists of the main collector (φ = 1200-1400 mm) and side channels (φ = 300-800 mm), with a total length of 7.65 km.The system collects stormwater from the residential development of nearly 400 single-and multifamily houses.The drainage system contains 192 stormwater street inlets and The Kaczmarka SWTP catchment is located in the very center of Kielce (Figure 1).The land use includes predominantly high-rise residential buildings (36.60%), industrial and service areas (26.20%), and other residential buildings (24.20%).The drainage system consists of a main collector (φ = 300-600 mm) that is 2.1 km long, as well as side channels (φ = 200-1000 mm), with a total length of 13.4 km.About 400 stormwater inlets and connections to residential and commercial buildings are included in the system.The highest point in the catchment area is Karczówka Hill, lying at 339.00 m a.s.l.The lowest point is located at 258.00 m a.s.l.The catchment slope is 5.2%.
The Witosa SWTP catchment, with a total area of 82.0 ha, is the smallest.The drainage system consists of the main collector (φ = 1200-1400 mm) and side channels (φ = 300-800 mm), with a total length of 7.65 km.The system collects stormwater from the residential development of nearly 400 singleand multifamily houses.The drainage system contains 192 stormwater street inlets and connections that allow collecting stormwater from the roofs of the buildings.The residential development, with an area of 36.5 ha, constitutes 44.5% of the catchment.The remaining part, namely 45.5 ha, consists of green spaces.The highest point of the catchment is at 365.50 m a.s.l., while the lowest lies at 291.25 m a.s.l.The catchment slope is 8.2%.

Collection and Preparation of Samples and Chemical Analysis of Sediments
Samples of stormwater sediments from the studied urban catchments were collected in the years 2012-2016.Sediments were sampled after each rainfall event in the spring-summer seasons and additionally after snowmelt events in the autumn-winter seasons.Sediment sampling sites are shown in Figure 1.Immediately after collection, sediment samples were placed into sterile polyethylene containers, in compliance with international standards.Containers with samples were tightly sealed and transported to the laboratory for physicochemical analyses.In the laboratory, stormwater sediment samples were naturally dried to obtain an air-dried condition.Dried sediments were sieved (2 mm) to remove the gravel fraction and plant debris and were finally crushed.Sediment samples prepared in this way were stored in prewashed glass containers at room temperature.
For heavy metal determination, the sediment samples were oven-dried at 80 • C on glass dishes until constant weight.Each of the weighed samples (approximately 0.5 g) was transferred into Teflon vessels and then digested with 8 mL of HNO 3 in a microwave oven (Multiwave 3000, Anton Paar, Graz, Austria).The digestates were left to cool at room temperature and then filtered through a 0.45-µm nitrocellulose membrane filter.The filtered digestates were diluted with distilled and deionized water to 100 mL in a volumetric flask.The total concentrations of selected heavy metals were determined using inductively coupled plasma-atomic emission spectrometry (ICP-AES) (Perkin Elmer Optima 8000, Waltham, MA, USA) with certified multielement standards.Analytical blanks and standard reference material were run in the same way as the samples, and heavy metal concentrations were determined using standard solutions prepared in the same acid matrix.Total heavy metal concentrations were determined in accordance with the PN-EN ISO 11885:2009 standard [17].
Samples of 1 g of sediment were extracted in dichloromethane using deuterated internal standards (naphthalene d-8, benzo(a)anthracene d-12).Extracts were purified on silica columns to solid phase (SPE) in a J. Baker apparatus (Centre Valley, PA, USA) and evaporated to the final volume of 1 mL.Analyses were carried out using gas chromatograph with mass detection (GC-MS, Focus DSQ Single Quadrupole, Waltham, MA, USA).The total content of 16 compounds from the PAH group in sediments from the stormwater drainage systems was determined in accordance with PN-EN 15527:2008 standard [18].

Precipitation and Atmospheric Data
It was found that in the years 2012-2016, the number of rainfall days ranged from 189 to 209, the number of snowfall days from 36 to 78, and that of days with fog from 137 to 188.Additionally, in the periods that preceded the events for which sediment quality tests were conducted, the number of days of individual categories was as follows: precipitation, 7-60; snowfall, 1-70; and fog, 25-71.The total rainfall depth in the rainfall events according to DWA-A 118 [19] ranged from 3.0 to 45.2 mm.

Computational Procedure
Due to the degree of complexity involved, a number of variables characterizing the catchment and weather conditions were initially adopted for the problem description.Before commencing further analyses, those data were normalized and standardized [20].Then, from the set of potential independent variables (Equation ( 1)), those whose influence on the simulation results was negligible were eliminated.In the next stage, artificial neural network (ANN) models (i.e., multilayer perceptron (MLP) networks) were built.The calculation diagram of the adopted test procedure is illustrated in Figure 2.
Water 2019, 10, x FOR PEER REVIEW 5 of 14 25-71.The total rainfall depth in the rainfall events according to DWA-A 118 [19] ranged from 3.0 to 45.2 mm.

Computational Procedure
Due to the degree of complexity involved, a number of variables characterizing the catchment and weather conditions were initially adopted for the problem description.Before commencing further analyses, those data were normalized and standardized [20].Then, from the set of potential independent variables (Equation ( 1)), those whose influence on the simulation results was negligible were eliminated.In the next stage, artificial neural network (ANN) models (i.e., multilayer perceptron (MLP) networks) were built.The calculation diagram of the adopted test procedure is illustrated in Figure 2.

Independent Variables and Their Selection
A small number of studies have dealt with prediction of sediment quality in stormwater drainage systems [21].That mainly results from the complex processes involved in the formation and transport of sediments and pollutants within the catchment.In a vast majority of papers, the factors that influence the quality of sediments are defined in general terms [22][23][24][25][26][27].The studies state that the quality of sediments depends on atmospheric conditions, catchment characteristics, or stormwater runoff dynamics.The findings are generally not supported by appropriate statistical analyses aimed at a deeper understanding of the causes of sediment quality variability or quantitative descriptions of the studied processes.In view of the above, a general form of a model proposed for forecasting the quality of sediments is as follows (the general formula was modified for individual pollutants): ( , , , , , ( , , ) ) where A is the catchment area; Zi is the manner of the catchment management; ΔH is the catchment height difference; Lpip is the length of the drainage system; P is the amount of rainfall in the period preceding the events under consideration; and F(Tp,Tsn,Tfo)t is a function that takes into account the

Independent Variables and Their Selection
A small number of studies have dealt with prediction of sediment quality in stormwater drainage systems [21].That mainly results from the complex processes involved in the formation and transport of sediments and pollutants within the catchment.In a vast majority of papers, the factors that influence the quality of sediments are defined in general terms [22][23][24][25][26][27].The studies state that the quality of sediments depends on atmospheric conditions, catchment characteristics, or stormwater runoff dynamics.The findings are generally not supported by appropriate statistical analyses aimed at a deeper understanding of the causes of sediment quality variability or quantitative descriptions of the studied processes.In view of the above, a general form of a model proposed for forecasting the quality of sediments is as follows (the general formula was modified for individual pollutants): where A is the catchment area; Z i is the manner of the catchment management; ∆H is the catchment height difference; L pip is the length of the drainage system; P is the amount of rainfall in the period preceding the events under consideration; and F(T p ,T sn ,T fo ) t is a function that takes into account the number of days with rainfall, snowfall, and fog in the period preceding (t), the event of concern (in the analyses, this value was variable and most events resulted from the last event preceding those covered by the calculations).The Fischer-Snedecor test was used to eliminate independent variables that were irrelevant from the point of view of forecasting the concentration of selected pollutants in stormwater sediments.Two hypotheses are formulated in the Fischer-Snedecor test: (i) zero hypothesis (H 0 ), stating that the structural parameters are not significantly different from zero (α 1 = α 2 = . . .α k = 0), and (ii) alternative hypothesis (H A ), stating that there is at least one parameter significantly different from zero (α 1 = 0, α 2 = 0, . . .,α k = 0).The test statistic F is then determined in the form: where R is the correlation coefficient, n is the number of measurements, and k is the number of adopted independent variables For the assumed significance level α, a critical value of F (α,k,n − (k+1)) is determined.If F ≤ F , there are no grounds for rejecting H 0 , whereas if F > F , hypothesis H 0 should be rejected in favor of H A .For the adopted independent variables (describing the catchment characteristics and atmospheric conditions) at the significance level α = 0.05, the values of the test probability p and test statistics F were determined.When the given value of p for the considered variable (x i ) was less than α = 0.05, this variable was taken into account in further analyses.

ANN-Multilayer Perceptron (MLP) Network
ANNs have a very wide range of application, as they can be used to model different phenomena [28].Many different ANN structures have been developed.One of the most commonly used is the feed-forward MLP neural network.Networks of this type have been frequently employed to forecast stormwater quantity and quality [29] and also to size and control the operation of facilities located in drainage systems [30,31].In the MLP network model, the input signals (x i ) supplied to the input layer are multiplied by the weights (w ij ) and transferred to the neurons of the subsequent (hidden) layer, in which they are summed up (Figure 3).number of days with rainfall, snowfall, and fog in the period preceding (t), the event of concern (in the analyses, this value was variable and most events resulted from the last event preceding those covered by the calculations).
The Fischer-Snedecor test was used to eliminate independent variables that were irrelevant from the point of view of forecasting the concentration of selected pollutants in stormwater sediments.Two hypotheses are formulated in the Fischer-Snedecor test: (i) zero hypothesis (H0), stating that the structural parameters are not significantly different from zero (α1 = α2 =…αk = 0), and (ii) alternative hypothesis (HA), stating that there is at least one parameter significantly different from zero (α1 ≠ 0, α2 ≠ 0,…,αk ≠ 0).The test statistic F is then determined in the form: ( 1) where R is the correlation coefficient, n is the number of measurements, and k is the number of adopted independent variables For the assumed significance level α, a critical value of F'(α,k,n − (k+1)) is determined.If F ≤ F', there are no grounds for rejecting H0, whereas if F > F', hypothesis H0 should be rejected in favor of HA.For the adopted independent variables (describing the catchment characteristics and atmospheric conditions) at the significance level α = 0.05, the values of the test probability p and test statistics F were determined.When the given value of p for the considered variable (xi) was less than α = 0.05, this variable was taken into account in further analyses.

ANN-Multilayer Perceptron (MLP) Network
ANNs have a very wide range of application, as they can be used to model different phenomena [28].Many different ANN structures have been developed.One of the most commonly used is the feed-forward MLP neural network.Networks of this type have been frequently employed to forecast stormwater quantity and quality [29] and also to size and control the operation of facilities located in drainage systems [30,31].In the MLP network model, the input signals (xi) supplied to the input layer are multiplied by the weights (wij) and transferred to the neurons of the subsequent (hidden) layer, in which they are summed up (Figure 3).The resulting sums are transformed by means of a linear or nonlinear activation function f and then transferred to the neurons (or neuron) of the output layer.The estimation of weights (wij) in the ANN model, which takes place at the training stage using appropriate numerical algorithms [20], is necessary to determine the minimum of the following function: The resulting sums are transformed by means of a linear or nonlinear activation function f and then transferred to the neurons (or neuron) of the output layer.The estimation of weights (w ij ) in the ANN model, which takes place at the training stage using appropriate numerical algorithms [20], is necessary to determine the minimum of the following function: The values of the outputs (y) will be calculated from the formula: where I is the number of model inputs, J is the number of neurons in the hidden layer, w ij represents the values of weights between inputs and neurons of the hidden layer, b j represents the loads on neurons of the hidden layer, w j represents the values of weights between neurons of the hidden layer and the neurons of the output layer, and f is the activation function.
The optimal structure of the MLP neural network for the number of neurons ranging from i to 2 × i + 1 [32] was sought for determined independent variables (x i ) explaining the concentration of selected pollutants in stormwater sediments.For computations in the hidden and output layers, the following activation functions were considered: (i) linear, (ii) exponential, (iii) hyperbolic tangent, and (iv) sine.Due to the significant influence of the initial values of weights in ANN models on the results and model optimization problems, each neural network model (having a fixed number of neurons and activation functions) was generated many times (5000 times) for different boundary conditions.To determine the values of weights (w ij ), the Broyden-Fletcher-Goldfarb-Shanno algorithm was applied at the stage of model training [20].MATLAB software was used to build the neural network models.In the computations, the datasets covering 70 precipitation events were partitioned into three sets, namely, training (60%), testing (20%), and validating (20%).

Assessment of the Model Fit to Experimental Data
The model fit was assessed using the following measures [33]: • mean relative error (MAPE) • mean absolute error (MAE) where N is the total number of analyzed data, q n is the measured value, q f is the value forecast for the n-th measurement q n , q avn is the average of the measured values, and q avf is the average of the forecast values.

Contamination of Stormwater Sediments
The presence of elements such as iron, manganese, zinc, lead, cobalt, copper, and nickel was found in the tested samples.High variability of heavy metal contents in stormwater sediments from catchments that differ in land use indicates the complex nature and dynamics of pollutants washing-off and also the diverse sources of pollution [34,35].Iron had the largest share in the total content of heavy metals.Its highest concentrations were observed in samples collected from the Jarz ąbek SWTP catchment (4563-71023 mg kg −1 ) and the lowest in samples from the Kaczmarka SWTP catchment (2455-4036 mg kg −1 ) (Figure 4).The element with second largest content was manganese, the highest concentrations of which were observed in sediments from the Jarz ąbek SWTP (1093 mg kg −1 ).A slightly lower content of manganese was found in sediments from the Witosa SWTP (806 mg kg −1 ).In the remaining two catchments, the content of this element did not exceed 321 mg kg −1 .High concentrations of iron and manganese in the catchments of concern can be attributed to the combustion of fossil fuels in stoves of individual households and tenement houses located in the city center [36].Sediments also showed a high content of zinc.For the Witosa SWTP, the level of this metal reached the value of 1148 mg kg −1 (Figure 4).Slightly lower concentrations of zinc were found in the sediments from the Jarz ąbek SWTP, namely, 693 mg kg −1 .In the samples from two other catchments, the maximum zinc content ranged from 92 to 383 mg kg −1 .Zinc occurs naturally in Poland's soils, and the amounts vary from 30 to 125 mg kg −1 [37].Elevated zinc values in sediments show the adverse impact of anthropogenic activity.Therefore, it can be concluded that the results directly reflect the influence produced by land use in a given catchment.Lead concentration ranged from 6 to 275 mg kg −1 , with the highest content found in samples from the Jarz ąbek SWTP and the lowest in those from the Kaczmarka SWTP.Cobalt, the content of which did not exceed 13 mg kg −1 , was the least abundant metal in the sediments.Elevated copper content was observed in the sediments from the Witosa SWTP (37.6-119.0mg kg −1 ), the Jesionowa SWTP (14.1-116.3mg kg −1 ), and the Jarz ąbek SWTP (48.5-99.3mg kg −1 ) catchments.In the sediments from the Kaczmarka SWTP, the concentrations of this element were much lower and did not exceed 31 mg kg −1 .
Nickel content did not exceed 13 mg kg −1 for sediments collected from the Kaczmarka SWTP, and 30 mg kg −1 for the remaining SWTPs.The results reported in this study show differences in the chemical composition of stormwater sediments.Additionally, they indicate the importance of effect produced by impermeable surface type and catchment geomorphology on sediment properties.Lack of green spaces and great vertical height difference in the catchment contribute to faster penetration of trace elements into river ecosystems.
In spite of major differences in concentrations of individual elements in sediments from the stormwater drainage systems and dissimilarities in the characteristics of the catchments of concern, metals were arranged in a similar, serial order.The content of heavy metals for sediments from the Jarz ąbek and Kaczmarka SWTP catchments formed the following series: Fe > Mn > Zn > Pb > Cu > Ni > Co. Regarding sediments from the two other catchments (Witosa and Jesionowa SWTPs), this series differed only in the location of manganese and zinc: Fe > Zn > Mn > Pb > Cu > Ni > Co. Sharley et al. [38] obtained a similar distribution of pollutant concentrations in stormwater sediments.Based on the testing results of sediments from more than 100 reservoirs located in a stormwater drainage system, the researchers ranked the metal content in the following way: Fe (6360-46100 mg kg −1 ) > Zn (12-4940 mg kg −1 ) > Mn (25-1850 mg kg −1 ) > Cu (6-1090 mg kg −1 ) > Pb (9-456 mg kg −1 ) > Ni (4-159 mg kg −1 ) > Co (2-31 mg kg −1 ).
The highest concentrations of PAH compounds were observed for sediments collected during spring melts from the catchments of the Jesionowa and the Jarz ąbek SWTPs.The values amounted to 28.5-2126.3 and 35.7-1643.6 mg•kg −1 , respectively (Figure 4).The catchments are located in the immediate neighborhood of the point source of pollution (i.e., coal-fired power and heating plant).In the sediments from the remaining catchments, the PAH concentration values were much lower.In the sediments from the Kaczmarka SWTP, the maximum value was 54.8 mg kg −1 , and in the case of the Witosa SWTP, it was 429.0 mg kg −1 .

Predicted Concentration of Selected Pollutants in Stormwater Sediments
The results of the F-test confirm that the content of the selected heavy metals in the sediments was determined by the catchment characteristics and weather conditions.However, a decisive influence of weather conditions was seen only for PAH concentration (Table 2).That also derives from the fact that wet deposition was the main source of stormwater sediment contamination with PAH compounds in the catchments of concern.PAH compounds emitted into the atmosphere from the combustion of fossil fuels (coal and petroleum products) in industrial boilers and vehicular exhaust emissions are deposited on the surface mainly through precipitation [39,40].
Based on the analysis of the characteristics of independent variables describing the heavy metal content in stormwater sediments, it is possible to make indirect conclusions about the sources of pollution.The length of the drainage system is directly related to the length of transportation routes from which stormwater and sediments enter the system through street inlets.The significance of this variable for the assessment of sediment quality points to traffic as a source of pollution (transit routes carrying a large volume of traffic are located in the catchments).The share of industrial areas in the catchments, with heavy traffic of delivery vehicles, is also a contributing factor.Low-rise buildings, which are mainly single-family houses, use heating boilers that require solid fuels.That is another source of pollution (ashes and heavy metals) of the catchments.With intense precipitation, the pollutants are washed off, and together with particulate matter (on which adsorption occurs), they are discharged into the drainage system.There, pollutants form stormwater sediments.That translates into the importance of weather indicators.
Several artificial neural networks, namely, multilayer perceptron networks, were developed based on the designated independent variables (Table 2) and adopted methodology of model creation (Figure 2).The determined parameters (number of neurons, activation functions in the hidden and output layers) describing the structure of the MLP models are listed in Table 3.The values of measures (R, MAE, MAPE) of the models fit to experimental data are also shown in the same table.On the basis of the data in Table 3, it can be stated that the number of neurons in the hidden layer ranges from 8 to 14 for individual neural networks.Additionally, analyses indicate that the number of neurons for individual MLP models was not higher than recommended [32].The results show that the models were not overtrained and can be used in practical applications, such as land use planning and management, especially in urban areas.Only in the case of Co did the obtained models show unsatisfactory predictive capabilities (Table 3).In the Kaczmarka SWTP catchment, when the cobalt concentration in sediments was close to 0 mg kg −1 , the computations produced values of 0.2 mg kg −1 , which significantly affected the MAPE measure.In the remaining catchments (Witosa, Jesionowa, and Jarz ąbek SWTPs), the difference between forecast and measured values did not exceed 15%.Average relative errors of the forecast of the examined heavy metals (test set) did not exceed 21% (Ni, Mn, Zn, Cu, and Pb) and 48% for Fe.In the case of PAHs, however, the value of MAPE oscillated within the range of 100%.Taking into account the obtained range of variability of individual pollutants in sediments in the catchments of concern and the results of computations shown in Figure 5, it can be concluded that the results of modeling are satisfactory for most of the considered pollution indicators.Admittedly, the determined models do not ensure very high congruence between estimates and measurements (e.g., at the level of 90%).Nevertheless, the networks provide a valuable tool to estimate the quality of sediments.Such a task has not been tackled by other researchers yet.The importance of ANN applications lies in the fact that they offer the possibility of optimizing the urbanization of catchments.Additionally, it is possible to account for aspects that have been disregarded so far but which have a significant impact on the conditions of receiving waters.
that the results of modeling are satisfactory for most of the considered pollution indicators.Admittedly, the determined models do not ensure very high congruence between estimates and measurements (e.g., at the level of 90%).Nevertheless, the networks provide a valuable tool to estimate the quality of sediments.Such a task has not been tackled by other researchers yet.The importance of ANN applications lies in the fact that they offer the possibility of optimizing the urbanization of catchments.Additionally, it is possible to account for aspects that have been disregarded so far but which have a significant impact on the conditions of receiving waters.

Conclusions
The analyses performed for the study confirm that it is possible to forecast the content of selected pollutants (Ni, Mn, Co, Zn, Cu, Pb, Fe, and PAHs) in stormwater sediments on the basis of atmospheric data and catchment physico-geographic characteristics with the use of multilayer perceptron neural networks.The analyses also allowed the identification of independent variables that affect, to the greatest extent, the explanation of the variability of the analyzed pollution indices.The variables included the catchment characteristics, namely, area, land use, height difference, length of stormwater drainage system, and also atmospheric characteristics, namely, precipitation depth; air temperature; and a number of snowy, rainy, and foggy days.It was shown that the

Conclusions
The analyses performed for the study confirm that it is possible to forecast the content of selected pollutants (Ni, Mn, Co, Zn, Cu, Pb, Fe, and PAHs) in stormwater sediments on the basis of atmospheric data and catchment physico-geographic characteristics with the use of multilayer perceptron neural networks.The analyses also allowed the identification of independent variables that affect, to the greatest extent, the explanation of the variability of the analyzed pollution indices.The variables included the catchment characteristics, namely, area, land use, height difference, length of stormwater drainage system, and also atmospheric characteristics, namely, precipitation depth; air temperature; and a number of snowy, rainy, and foggy days.It was shown that the content of heavy metals (Ni, Mn, Co, Zn, Cu, Pb, and Fe) in sediments is determined by the physical properties of the catchment, the length of the drainage system, and atmospheric conditions.Conversely, PAH content depends mainly on weather conditions.The approach proposed in this study involved the development of forecasting models.They can be widely used as a tool supporting spatial planning and development.The model makes it possible to predict the effects of potential changes to catchment land use on the quality of stormwater sediments and, thus, sediment impact on the aquatic environment of flowing receiving waters.
It is advisable to carry out further research and analyses aimed at developing an integrated tool to simulate the quality of sediments and stormwater within closed drainage systems.This will allow the study of complex relationships and water-sediment interactions.

Figure 2 .
Figure 2. Algorithm for the development of the multilayer perceptron (MLP) model predicting the content of selected pollutants in stormwater sediments.

Figure 2 .
Figure 2. Algorithm for the development of the multilayer perceptron (MLP) model predicting the content of selected pollutants in stormwater sediments.

Figure 5 .
Figure 5. Predicted vs observed heavy metal and PAH concentrations in stormwater sediments.

Figure 5 .
Figure 5. Predicted vs observed heavy metal and PAH concentrations in stormwater sediments.

Table 2 .
Fand p-values for the Fischer-Snedecor test.

Table 3 .
Parameters describing the structure of the neural networks and models fit to experimental data.