M. Venohr*, I. Donohue**, S. Fogelberg***, B. Arheimer***, K. Irvine** and H. Behrendt* *Leibniz-Institute of Freshwater Ecology and Inland Fisheries, Berlin, Germany. **Department of Zoology, Trinity College, University of Dublin, Ireland. ***Swedish Meteorological and Hydrological Institute, Norrköping, Sweden. Abstract The mean annual transfer (loss and retention) of nitrogen in a river system was estimated using a conceptual approach based on water surface area and runoff. Two different approaches for the calculation of water surface area were applied to determine riverine nitrogen retention in four European catchments, ranging between 860 –14,000 km2 in area, and differing considerably in the proportion and distribution of surface waters, specific runoff and specific nutrient emissions. The transfer rate was estimated sequentially as either the mean value for the total catchment, on a sub-catchment scale, or considering the distribution of water surface area within a sub-catchment. For the latter measure, nitrogen retention in larger lakes was calculated separately. Nitrogen emissions modelled with MONERIS and HBV-N were used to calculate nitrogen river loads and compare those with observed loads. Inclusion of the proportion of water area within a sub-catchment improved modelled results in catchment with large lakes in sub-catchments, but not where there was a homogenous distribution of surface waters among sub-catchments. Keywords emissions; hydraulic load; nitrogen; retention; water surface area Introduction Knowledge of the mechanisms, dynamics and spatial distribution of nutrient emissions and transfer through catchments is critical for assessing risk to, and effective management of, water quality. Transfer mechanisms and dynamics can and have been studied in field experiments on a river stretch scale or on even smaller scales in laboratories. Resulting transfer on a river system scale, however, can only be modelled. Modelling on a river system scale can either be done by extrapolating results from experiments or physical based micro-scale models (up-scaling) or by interpolating less sophisticated (conceptual) model approaches (down-scaling). Model applications always face the conflict between accuracy in the considered processes and increasing demand in input data. This problem automatically defines a limit for applicable scales in both directions, up- and down-scaling. Down-scaling, as focused on in this study, was not explored to delineate a minimum scale range for conceptual models, but to show in which range model results can be improved by a limited increase of spatial information. Different hydro-morphological conditions were considered to test sensitivity of these river systems on variation in spatial information. The retention and loss of nutrients in river systems can impact considerably on nutrient budgets in catchments and have significant detrimental consequences on downstream water quality (Donohue et al., submitted). Rates of nutrient transfer vary considerably in both time and space owing to variability in residence time and hydrological conditions along river systems (Seitzinger et al., 2002; Grizetti et al. 2003; Billen and Garnier, 2000; Kronvang et al., 1999, Windolf et al., 1996). The loss of nitrogen to the air from denitrification and the temporary or permanent retention of nitrogenous compounds in sediments dominate nitrogen transfer within surface waters (Seitzinger et al., 2002; Alexander et al., 2000). Denitrification, generally the Water Science & Technology Vol 51 No 3-4 pp 19–29 Q IWA Publishing 2005 Nitrogen retention in a river system and the effects of river morphology and lakes 19 M. Venohr et al. dominant mechanism of nitrogen transfer from rivers occurs mainly in the top few millimetres of the sediment surface (Behrendt and Opitz, 2000; Windolf et al., 1996). This suggests that sediment surface area is important for modelling of nitrogen transfer, and in this study was considered as an estimate of water surface area. Previous work (Behrendt et al., 2002) has shown surface area of sediment to relate strongly to sedimentation and denitrification, so distribution of water surface area will likely be of major importance for nitrogen retention and loss in catchments. Modelling of N-loss and retention needs, therefore, to include spatial information on surface waters. Accordingly, in some dynamic models water surface area is included in the rate equations for nitrogen losses in lakes or wetlands instead of water volume (e.g. Arheimer and Brandt, 1998; Arheimer and Wittgren, 2002). Also in this study, a distinction was made between the main river course (directly located between monitoring stations) and its tributaries on a sub-catchment scale. The accurate description of these characteristics within river systems can be as important to the modelling of nutrient transfer in rivers as reliable and sufficient input data. This paper compares two conceptual approaches to estimate catchment water surface area under differing hydro-morphological conditions. We investigate whether these surface water estimates together with measured runoff are capable of explaining the differences between nitrogen emissions (i.e. Gross load before retention) and resulting river loads. In order to get an idea of the range of nitrogen emissions the two models HBV-N and MONERIS were applied to three of the four study catchments (only MONERIS was applied for Lough Mask yet). Methods Study sites 20 An empirical relationship describing nitrogen transfer as dependent on water surface area (WSA) and runoff was used to estimate nitrogen transfer rates in four European study catchments with differing drainage patterns (Fig. 1); in Warnow (Germany), Mask (Ireland), Rönneå (Sweden) and Neckar (Germany). The Mask catchment, located in the west of Ireland, has the highest WSA, and is the smallest of the four catchments examined in this study (Table 1). It also has the highest specific runoff, and contains the lowest population density. All surface waters in the catchment flow through Lough Mask (surface area 82 km2; Zmax 58 m). The western part of the catchment is mountainous with extensive peatlands, while primarily agricultural grasslands overlie the eastern part. The Rönneå catchment in the southwest of Sweden (Fig. 1) is divided into 7 subcatchments, ranging in area from 150 km2 to 550 km2, and discharges into Skälderviken bay. This catchment is dominated by agriculture and forest and contains only a few small lakes, mostly located in the upper parts of the system. The catchment of the River Neckar, which originates in the hilly Schwarzwald in southwestern Germany and discharges into the River Rhine, is the largest of the four study catchments (Table 1). This catchment also contains the highest population density and the highest specific nitrogen emissions of all catchments studied. Owing to a lack of large lakes, the catchment has the lowest WSA in this study (Table 1). The low-lying catchment of the River Warnow in the northeast of Germany is used intensively for agriculture (Table 1). Gentle slopes, sandy soils and an annual precipitation of 600 mm a21 results in considerably lower specific runoff than the other catchments. Riverine nitrogen concentrations in the German and Swedish catchments could be taken from governmental monitoring programmes. In the Irish catchments these M. Venohr et al. Figure 1 Location of the four study catchments and the distribution of the sub-catchments and lakes within each catchment measurements were collected through a dedicated monitoring programme. The available datasets include dissolved inorganic (DIN) and total nitrogen (TN) for Lough Mask and river Warnow, TN for Rönneå and DIN for the Neckar. Emission calculations The nutrient emission model MONERIS (Behrendt et al., 2002) was applied to all four study catchments. The model considers six diffuse pathways (direct atmospheric deposition, surface runoff, erosion, tile drainages, groundwater, urban areas) and Table 1 Site characteristics and nitrogen load of the four study catchments Study period Catchment area Catchment area range No. of sub-catchments Specific runoff Specific TN load Mean population density Land-use data by CORINE Urban area Agricultural Forest Water surface area 1 Lough Mask Rönneå Neckar Warnow [l.s21.km22] [kg N.ha21.yr21] [inh.km22] 06.01 –05.02 859 1–118 33 49.0 10.8 22 93–97 1,897 153 –558 7 12.3 8.5 52 93 –97 13,957 2.4 –1,954 74 11.8 18.53 375 95–98 3,067 51 –210 26 4.3 5.6 57 [%] [%] [%] [%] 0.26 43.3 2.9 12.4 3.2 32.2 46.5 3.0 11.9 53.4 37.9 0.1 2.8 70.8 22.1 3.6 [km2] [km2] Calculated with MONERIS; 2calculated with HBV-N; 3DIN load. 21 M. Venohr et al. emissions from point sources. MONERIS was developed originally for medium-sized to large catchments (. 500 km2; Behrendt et al., 2000; Behrendt et al., 2002), but has also been shown to deliver reliable results in catchments down to 50 km2 (Behrendt et al., 2003, Venohr et al., submitted). MONERIS utilises data from both GIS analyses and statistical reports. For the application of MONERIS to the catchments used in this study, no modification of model approaches or constants took place. The process-based, semi-distributed HBV-N model (Arheimer and Brandt, 1998) was applied to the Rönneå catchment. The hydrological part (i.e. HBV-96, Lindström et al., 1997) includes routines for accumulation and melt of snow, accounting for soil moisture, and lake routing and runoff response. In the N routine, leakage concentrations are assigned to the water percolating from the unsaturated zone of the soil to the response reservoir of the hydrological HBV model. Nitrogen concentrations are applied to water originating from areas with differing land-uses. Emissions from point sources, such as rural households, industries, and wastewater treatment plants are included. Atmospheric deposition is added to lake surfaces, while deposition on land is implicitly included in soil leaching. The model simulates residence, transformation and transport of N in groundwater, rivers and lakes and calculations are made step-wise for each of these compartments. A number of free parameters, which are calibrated against observed timeseries of water runoff and nitrogen concentrations (Petterson et al., 2001), are included in the model. The equations used to account for the nitrogen turnover processes are based on empirical relations between physical parameters and concentration dynamics. The retention routine included in the HBV-N modelled has not been used for these calculations. The model application in Rönneå was based on the TRK database (Ejhed and Brandt, 2003). Nitrogen transfer approach A general nutrient balance was used to describe the sum of all nitrogen retention and loss processes: Load (L) = Emission (E) – Retention and Loss (R). By dividing both sides of the equation by the river load, the ratio between the river load and total nutrient emissions can be described by a load-weighted retention coefficient RL. Behrendt and Opitz (2000) used the following exponential equation to calculate RL: L ¼ E 1 1 ¼ E 1 þ RL 1 þ aHLb ð1Þ where L is the observed load (metric tonnes a21), E is the calculated nitrogen emission (metric tonnes a21), HL is the hydraulic load (runoff/water surface area, m a21) and RL is the load-weighted retention and loss coefficient. The parameters a and b were determined for both DIN and TN in rivers (Behrendt et al., 2002), and for TN in lakes (unpublished data from the EU-Project EUROHARP; Table 2). Table 2 Parameters used for retention approaches Parameter set 22 1 (TN rivers) 2 (DIN rivers) 3 (TN-lakes) a b 1.9 5.9 7.279 2 0.49 20.75 21 MONERIS approach to estimate WSA In the current study, two methods were used to estimate WSA. The first (WSAMO, Eq. 2) was developed for MONERIS (Behrendt et al., 2002) to estimate the total water surface area connected to a river system on a sub-catchment scale from the 100 m CORINE land cover grid: ð2Þ where WSAMO is the total water surface area (km2) connected to the river system used in the model MONERIS (Behrendt et al., 2002) and calculated on basis of the water surface area considered in the CORINE landcover map (WSAC) (km2), the sub-catchment area (Acatch) (km2) and slope (%). Small rivers and lakes are overlooked at this resolution, which necessitated the addition of a certain amount of surface waters to the water surface area shown in the CORINE map as follows (Eq. 2). The parameters a and b are derived by comparison of the water surface area in the CORINE map and detailed WSA information from administrative reports (Behrendt and Opitz, 2000). M. Venohr et al. WSAMO ¼ WSAC þ aAcatch slopec River width approach to estimate WSA A second approach, the river width approach, was developed for this study. This approach differentiates between the water surface area of the main river (MR, river stretch between two monitoring stations, Fig. 2) and that of all other river stretches (ARS) Table 3 in a catchment. River width (RW) was calculated as dependent on the total catchment area (Acatch), specific runoff (q) and the mean slope in the catchment Figure 2 Overview on the different input data and methods used for the estimation of riverine nitrogen retention 23 Table 3 Parameters used for the estimation of water surface area (WSAMO) and the mean river width for the main river (MR) and the all river stretches (ARS) M. Venohr et al. WSAMO MR ARS a b c d 0.0052 0.350 0.152 1.087 0.468 0.102 0.360 1.018 2 0.028 2 0.027 2 0.250 (from a 1 km2 digital elevation model) (Eq. 3), while flow length was taken from digital maps: RW ¼ aAcatch b qc sloped ð3Þ The parameters a, b, c and d (Eq. 3) for the calibration of river width of the main river were estimated using the measured width of several river stretches in the Lough Mask catchment and river width information from the river Warnow. Calibration of parameters for the estimation of mean width of all river stretches was done with data from the River Warnow. These calculations allowed the direct estimation of water surface area of all river stretches (WSAARS) and of the main river (WSAMR) at the sub-catchment scale. Lake areas were taken from detailed digital maps and were added to the estimated river surface area, separately for main river and tributaries on a sub-catchment scale. Results and discussion River width estimation Mean difference between measured and calculated widths of the main river was 30.5% (r 2 ¼ 0.98, n ¼ 11, p ¼ 0.001) for Lough Mask and 32.5% (r 2 ¼ 0.71, n ¼ 25, p ¼ 0.001) for the Warnow. The mean width of all river stretches (ARS) calibrated with data from river Warnow showed similar deviations (30.7%, r 2 ¼ 0.85, n ¼ 25, p ¼ 0.001). Comparison of the total water surface area calculated by WSAMO and WSARW showed high deviations related inversely to water surface areas (Table 4). At the single sub-catchment scale, in particular in the smaller Mask and Neckar catchments, considerable deviations up to several hundred percent were found. For water surface areas smaller than 1 km2 these differences grew rapidly. Nitrogen transfer calculations Small differences in the mean calculated specific emissions by MONERIS and HBV-N were found for Rönneå (HBV-N 15% less than MONERIS) and Neckar (HBV-N 7% more than MONERIS) (Table 5). Specific emissions in the Warnow calculated by HBVN were 70% higher than those calculated by MONERIS. For the German rivers we determined deviations up to 450% among emissions calculated by MONERIS and HBV-N for the sub-catchments. For Rönneå the highest deviation between the emissions by the two models was 38%. Table 4 Deviation between the water surface areas WSAMO and WSAARS for the total catchment and the median of the deviations in the single sub-catchments Deviation [%] Total catchment 24 Lough Mask Rönneå Warnow Neckar 0.3 7.8 21.0 31.6 Sub-catchments 68.2 23.8 23.6 54.9 Table 5 Mean modelled emissions, based on the models MONERIS and HBV-N and the deviation from observed spec. loads at catchment outlet. MONERIS TN TN TN DIN Deviation [%] Emissions [kg.ha21.yr21] Deviation [%] 15.5 14.0 12.3 26.6 30.7 (0.42)2 39.0 (0.51)2 54.1 (0)2 30.51 (0.51)* 12.0 21.4 28.6 21.6 (0.27)2 73.7 (0.02)2 35.3 (0.45)1 1 Deviation between TN emissions and DIN river load. ( 2 not significant, þp ¼ 0.05, pp ¼ 0.1). M. Venohr et al. Lough Mask Rönneå Warnow Neckar HBV-N Emissions [kg.ha21.yr21] A large deviation among nitrogen loads measured at the catchment outlet and emissions estimated with MONERIS and HBV-N was found (Table 5), with substantial differences in the deviation among catchments. Neglecting possible model errors this deviation expresses the retention as balance between calculated emissions and observed loads. The regression between the emissions and the observed loads is very weak for all catchments (Table 5). This suggests strongly that the retention and loss of nitrogen is of considerable importance in our study catchments and also that it varies substantially between catchments. The four methods used (Fig. 2) to calculate the transfer rate were highly sensitive to the calculated water surface area. In general, increased water surface area leads to an increased retention rate, but no clear trend for over or under estimating the retention among the four methods could be identified. The four methods also showed large variations in calculated retention and loss among sub-catchments (Table 6). The application of method 3 and 4 led to considerable differences in accumulated retention calculated with emissions by MONERIS and HBV-N (Table 6). These deviations in the retention rates are caused by differences in the spatial distribution of the emissions and transfer rates. In almost all cases, mean deviations from observed loads were reduced considerably by the application of the revised method 4 used to estimate riverine transfer, and increased predictive power (Table 7). This improvement did not apply for the River Neckar, which contains no big lakes. Here, the comparison between methods 1 and 4 led to a reduction of the regression coefficient with, additionally, increasing deviations between measured and calculated loads. Nevertheless, a consideration of sub-catchment conditions (comparison between methods 1 and 3 and methods 2 and 4) led to a slight improvement of the calculated loads (Table 7). Table 6 Accumulated retention rate of the total-catchments calculated for TN and DIN using the four methods outlined in Fig. 2 Mean calculated retention rate [%] Methods Lough Mask Rönneå Warnow Neckar TN-MONERIS DIN-MONERIS TN-MONERIS TN-HBV-N TN-MONERIS TN-HBV-N DIN-MONERIS DIN-HBV-N DIN-MONERIS DIN-HBV-N 1 2 3 4 36.7 48.9 38.0 38.0 50.0 50.0 68.8 68.8 26.7 26.7 36.1 47.9 36.8 36.8 52.3 52.3 71.8 71.8 19.9 19.9 44.8 53.3 32.7 32.3 49.5 65.6 64.1 64.4 27.8 29.9 47.4 70.5 41.3 39.7 64.5 62.9 70.9 69.7 32.8 34.9 25 Table 7 Mean deviation (and regression coefficient r2) between measured and calculated TN and DIN loads Mean deviation [%] Methods 1 Lough Mask M. Venohr et al. Rönneå Warnow Neckar TN-MONERIS DIN-MONERIS TN-MONERIS TN-HBV-N TN-MONERIS TN-HBV-N DIN-MONERIS DIN-HBV-N DIN-MONERIS DIN-HBV-N 2 23.2 (0.65p) 126.1 (0.66p) 27.9 (0.89**) 22.5 (0.642) 32.0 (0.41) 101.6 (0.132) 36 (0.66***) 101.6 (0.53p) 12.8 (0.64**) 22.7 (0.49p) 24.0 112.8 29.3 21.8 29.5 89.9 32.3 78 18.7 29.1 (0.611) (0.78**) (0.89**) (0.711) (0.51p) (0.252) (0.71***) (0.62**) (0.55p) (0.48p) 3 25.8 131.7 31.7 23.7 28.2 102.2 36.1 113.9 12.8 18.7 (0.61) (0.64p) (0.82p) (0.62) (0.71***) (0.112) (0.73***) (0.43p) (0.6**) (0.51p) 4 22.8 (0.73p) 109.7 (0.76**) 25.6 (0.86p) 25.6 (0.71) 19.6 (0.77***) 64.5 (0.342) 21.6 (0.77***) 69.9 (0.61**) 20.5 (0.53p) 32.8 (0.362) 1 Emissions calculated with HBV-N. ( 2 not significant, þp ¼ 0.1, pp ¼ 0.05, pp p ¼ 0.01, pp p p ¼ 0.001). The strongest reduction of the error in the calculated load was found for the Warnow catchment (Table 7), which contains many lakes distributed throughout the catchment. In the case of the Mask catchment, the deviation between measured and calculated load was only slightly reduced, but the results from the application of Method 4 delivered the strongest association with the observed load. In the Lough Mask catchment, the calculated DIN load showed extraordinary high deviations from the measured DIN load. Surface waters in the Lough Mask catchment contain a high concentration of organic nitrogen in the form of humic substances, leading to relatively low proportions of DIN: TN. The mean ratio of 2.9 between TN and DIN concentration in Lough Mask is almost double that of the River Warnow (1.5). Even for Rönneå, which contains only a few upstream lakes, using MONERIS emissions Method 4 delivered a stronger association between measured and calculated load than the other methods (Table 7). Using HBV-N emissions, on the other hand, the deviations but also the regression coefficient grew. Differences in the emissions by MONERIS and HBV-N could not be identified to cause this contradictory results. Regardless to the reduction of the error in the calculated loads great differences in the remaining deviations among the results calculated with MONERIS and HBV-N could be found. In the Rönneå loads calculated with emissions by HBV-N generally showed lower errors in the calculated loads than those calculated on basis of MONERIS emissions. For the Neckar on the other hand the mean deviation of MONERIS-loads are much lower than HBV-N-loads (Table 7). Some outliers cause the higher deviations of the HBV-Nloads and for most of the catchments the models show a similar model deviation. The biggest differences in the modelled loads were calculated for the river Warnow catchment (Table 7). Again, MONERIS-loads show lower deviations from the observed loads, but here, MONERIS-loads always underestimated and HBV-N-loads always over estimated the observed loads. The reasons for differences in model performance among MONERIS and HBV-N could not be clarified in this study. Apparently the nutrient emissions should be somewhere between the modelled emissions. Discussion 26 Estimation of the water surface area of river systems was difficult to calibrate, owing to limited information available on the width of different river stretches, in particular for smaller tributaries in large catchments. Further, anthropogenic impacts on surface water hydrology and morphology, as in the case of the River Warnow in this study, can lead to considerable uncertainties in the estimation of water surface area. Increasing deviations M. Venohr et al. for WSA smaller than 1 km2 are likely caused by the spatial resolution (100 m) of the CORINE land use map. Small lakes and rivers are not included at this scale, so that the higher the number of small surface waters, the greater the underestimate of the total water surface area. A second problem relates to the location of surface waters in the CORINE map and topographical maps. For large lakes the shoreline can only be displayed roughly and often does not agree with the shoreline on the topographical map. Owing to inaccuracies in the processing of digital maps, a general dislocation of lakes and rivers between maps may also occur, which can cause problems if parts of a lake is moved into a neighbouring catchment. In our study catchments we were not able to quantify the extent of these uncertainties. The inclusion of information on sub-catchment WSA (Methods 3 and 4) did not improve model results for the Neckar catchment. A homogenous distribution of the water surface area, combined with low variation of specific runoff within the sub-catchments, result in stable retention and loss rates throughout the river Neckar catchment. Behrendt et al. (2002) reported increasing errors in the calculated nutrient emissions and the measured river loads with decreasing catchment size. More than 25% of the sub-catchments in the Neckar catchment have a size less than 50 km2. Small catchment sizes together with homogenous retention and loss rates could be a reason for the lack of improvement in the calculated loads from method 1–4 in the Neckar catchment. This study was based on the premise that increasingly detailed calculation of nutrient transfer in the main river, tributaries and lakes in a sub-catchment reduces the error of the calculated net load. Differentiating between the water surface area of the main river and its tributaries did result in improved estimations of nutrient loads in relation to the degree of heterogeneity of WSA in the sub-catchments. Where WSA was distributed more homogeneously across the sub-catchments, improvement in model performance was not evident. The spatial distribution of lakes is normally considered in catchment modelling when dividing the catchment into sub-catchments, so that the lakes are located at sub-catchments outlets. However, this procedure may be quite subjective and it would be interesting to further quantify how detailed the sub-catchment division should be for reliable results, with respect to the modelling purpose. Problems for model applications are faulty and inconsistent input data. Lacking input data, however, is often a stumbling block for modelling at the catchment scale. This is especially relevant for sophisticated, dynamic and physical based models with demanding data requirements, which led to the application of a conceptual approach in this study. The transfer approach is driven by the hydraulic load (runoff divided by water surface area). High errors in runoff measurements can lead to increased uncertainties of model output. Discharge originating from a sub-catchment was calculated by subtraction of measured discharge from monitoring stations of successively linked sub-catchments. The improvement from detailed transfer calculations on a sub-catchment scale is, in this case, simultaneously reduced by uncertainties in the runoff or water surface area calculation for each sub-catchment. Conclusions Rates of nitrogen transfer in catchments were strongly dependent on the proportion and distribution of surface waters within the sub-catchments. Consideration of the surface areas of main rivers and tributaries separately for the retention and loss calculation of nitrogen resulted in improvement of the calculated load (emissions minus retention) compared with the observed load. Uncertainties in the estimation of water surface area, in addition to those in the emission and transfer calculations, are likely to originate from 27 M. Venohr et al. insufficient input data, including the accuracy of digital maps and runoff measurements. It could, nevertheless, be shown that retention and loss play an important part in the total nitrogen household of a river system. High variability in transfer rates between sub-catchments and river systems could mostly be explained with a simple approach using water surface area and runoff as driving forces. The detailed consideration of changing transfer rates (method 4) completed the picture of the nitrogen budget of these river systems, which could help to identify suitable programmes for water quality improvements. Acknowledgements We would like to thank all members of the EU-Projects EUROHARP (EVK1-CT-200100096) and BUFFER (EVK1-CT-1999-00019.), who helped to collate the data and to conduct this study. References 28 Alexander, R.B., Smith, R.A. and Schwarz, G.E. (2000). Effect of stream channel size on the delivery of nitrogen to the Gulf of Mexico. Nature, 403, 758 –761. 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