Published online 1 May 2008
Published in J Environ Qual 37:788-797 (2008)
DOI: 10.2134/jeq2007.0432
© 2008 American Society of Agronomy, Crop Science Society of America, and Soil Science Society of America
677 S. Segoe Rd., Madison, WI 53711 USA
TECHNICAL REPORTS
Ecological Risk Assessment
Simulating Sulfadimidine Transport in Surface Runoff and Soil at the Microplot and Field Scale
Mats Larsboa,b,*,
Kathrin Fennera,c,
Krispin Stoobd,
Michael Burkhardta,
Karim Abbaspoura and
Christian Stamma
a Swiss Federal Inst. for Aquatic Science and Technology (Eawag), Ueberlandstrasse 133, CH-8600 Duebendorf, Switzerland
b current address: Dep. of Soil Sciences, Swedish Univ. of Agricultural Sciences (SLU), P.O. Box 7014, 750 07 Uppsala, Sweden
c Institute of Biogeochemistry and Pollutant Dynamics, Swiss Federal Inst. of Technology (ETH), Universitätsstrasse 16, CH-8092 Zürich, Switzerland
d RCC, Ltd., Zelgliweg 1, 4452 Itigen, Switzerland
* Corresponding author (Mats.Larsbo{at}mv.slu.se).
Received for publication August 15, 2007.
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ABSTRACT
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To prevent residues of veterinary medicinal products (VMPs) from contaminating surface waters and ground water, an environmental impact assessment is required before a new product is allowed on the market. Physically based simulation models are advocated for the calculation of predicted environmental concentrations at higher tiers of the assessment process. However, the validation status of potentially useful models is poor for VMP transport. The objective of this study was to evaluate the dual-permeability model MACRO for simulation of transport of sulfonamide antibiotics in surface runoff and soil. Special focus was on effects of solute application in liquid manure, which may alter the hydraulic properties at the soil surface. To this end we used data from a microplot runoff experiment and a field experiment, both conducted on the same clay loam soil prone to preferential flow. Results showed that the model could accurately simulate concentrations of sulfadimidine and the nonreactive tracer bromide in runoff and in soil from the microplot experiments. The use of posterior parameter distributions from calibrations using the microplot data resulted in poor simulations for the field data of total sulfadimidine losses. The poor results may be due to surface runoff being instantly transferred off the field in the model, whereas in reality re-infiltration may occur. The effects of the manure application were reflected in smaller total and micropore hydraulic conductivities compared with the application in aqueous solution. These effects could easily be accounted for in regulatory modeling.
Abbreviations: EIA, environmental impact assessment PEC, predicted environmental concentration PNEC, predicted no-effect concentration SDM, sulfadimidine VMP, veterinary medicinal product
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INTRODUCTION
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Large quantities of veterinary medicinal products (VMPs) are used in livestock production. After administration, these substances may be excreted as the parent compound and/or as metabolites. When manure containing residues of VMPs is used as fertilizer on agricultural land, there is a risk that these substances might leach to ground water or reach surface waters through field drains or surface runoff. There they pose a potential risk, primarily to water-living organisms (Boxall et al., 2003).
To reduce the risk of soil and water contamination, the European Union has since 1997 requested environmental impact assessment (EIA) of new VMPs before they are allowed on the market. Guidance on how to carry out this assessment has been developed by the VICH (International Cooperation on Harmonisation of Technical Requirements for Registration of Veterinary Medicinal Products) committee, a trilateral program between the EU, Japan, and the USA (VICH, 2000 and 2006). In Europe, these guidelines have recently been amended by a technical guideline on how to carry out the different evaluation steps (EMEA, 2007). These documents include guidance on EIAs for VMPs used in aquaculture, pasture animals, and intensively reared animals. In this study we focus on intensively reared animals. The assessment should be performed in a phased manner in which the first phase involves the estimation of concentrations to which different environmental compartments might be exposed (calculations of predicted environmental concentrations [PECs]). Relevant for our case is the PEC in soil (PECsoil). For the estimation of PECsoil, the Uniform Approach suggested by Spaepen et al. (1997) is recommended. A first estimate of PECsoil is calculated assuming a worst case scenario where the total yearly amount administered to livestock is applied to agricultural fields. If needed, PECs can then be refined (e.g., by inclusion of more realistic agricultural practices, metabolism in animals, and degradation in manure and soil). If the PEC exceeds trigger values defined for relevant environmental compartments (100 µg kg–1 for soil), the second phase of the EIA has to be performed. In this phase, predicted no-effect concentrations (PNECs) are compared with the PECs in, for example, ground water (PECgw) and surface water (PECsw). These PECs should, in a first step, be calculated using a simple, steady-state compartment approach. If a PEC exceeds the corresponding PNEC, further refinement of the PEC is required, or risk mitigation measures have to be linked to the authorization. At this phase of PECsw and PECgw refinements, more advanced modeling tools may be used.
The models used in the regulatory process have recently been evaluated. In a test using field data on three VMPs, the Uniform Approach resulted in up to two orders of magnitude higher environmental concentrations compared with measured data (Blackwell et al., 2005). Montforts (2006) tested different screening models used to calculate PECs for soil, surface water, and ground water against available field data. He concluded that the models generally performed poorly and questioned the usefulness of such simple models in the registration process. Advanced physically based solute transport models have been included since the mid-1990s in the pesticide registration process within the FOCUS (forum for the coordination of pesticide fate models and their use) framework. The use of these models is supposed to lead to a more science-based regulatory process, thereby resulting in a better protection of the environment while avoiding unnecessary restrictions on harmless (or less harmful) substances (FOCUS, 2001). Even though it is too early to say to what degree these goals have been achieved, a similar approach for VMPs seems attractive because VMPs and their possible routes of contamination are in many respects similar to pesticides (Kay et al., 2004; Montforts, 2006). The use of more advanced models for refined calculations of PECs of VMPs in ground water and surface water is also recommended in the new technical guideline developed by the European Medicines Agency (EMEA, 2007). These guidelines specifically recommend the use of the FOCUS models. However, other studies have shown that differences between pesticides and VMPs, e.g., the manure application matrix (Burkhardt et al., 2005) and the fact that manure in many cases is incorporated into the top soil after application (Kay et al., 2004) are important for the transport processes. This implies that pesticide-leaching models should not be uncritically used for simulations of VMPs. To build up confidence in the models, they need to be evaluated against field data for VMPs.
Sulfadimidine belongs to the sulfonamide group of antibiotics, which are mainly used for prophylactic or therapeutic purposes in pig production. Sulfonamides account for a large percentage of the total use of veterinary antibiotics in Europe, and there is a risk of contamination of ground water and surface waters due to their moderate sorption strength in soil compared with other groups of VMPs (Thiele-Bruhn, 2003). Sulfonamides have been detected in tile drainage water (Campagnolo et al., 2002), in surface waters (Campagnolo et al., 2002; Christian et al., 2003; Perret et al., 2006), and in ground water (Hamscher et al., 2005; Perret et al., 2006). Most of these findings were from areas with intensive livestock production.
The objective of this work was to evaluate the MACRO 5.1 model (Larsbo et al., 2005), one of the models included in the FOCUS suite of models, using data from one short-time irrigation microplot study of sulfadimidine (SDM) transport (Burkhardt et al., 2005; Burkhardt and Stamm, 2007) and one 3-mo field study (Stoob et al., 2007). MACRO was chosen because it includes preferential flow and transport through the soil, artificial field drainage, surface runoff of water and solutes, and a full canopy water and solute balance, processes that were considered important based on the experimental data. Many model parameters (e.g., those governing the degree of preferential flow) are impossible to derive from direct measurements. It is therefore important to design simple experimental flow and transport experiments that can provide information on these parameters. Therefore, we tested to what degree the data from the microplot study could be used to constrain parameters that could not be derived from direct measurements.
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Materials and Methods
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Description of the Experiments
The data used in this study are from two experiments conducted in the same subcatchment of the lake Greifensee catchment, southeast of Zürich, Switzerland. The subcatchment, which has a size of about 60 ha, is dominated by grasslands used as pasture, which is also the land use of the investigated fields. The catchment is drained by a small brook. The soil in the studied fields was classified as loamy Eutric Cambisol (FAO). Soil properties are summarized in Table 1
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The Microplot Study
The runoff study was performed on microplots, each with an area of 2 m2. The slope of the plots was 6 to 9%. Sulfadimidine (CAS 57–68–1) at a concentration of 11.0 mg L–1 and bromide at a concentration of 22.9 g L–1 were applied in October 2002 in 3 L m–2 liquid pig manure (manure) or aqueous solution (control). After 3 d, the plots were irrigated for 90 min at a rate of 20 mm h–1. Surface runoff volumes and concentrations in runoff were measured every 15 min from the start of the irrigation. One day after the irrigation, soil pore water concentrations were measured in soil cores sampled at seven depths down to 50 cm. The microplot study is described in detail by Burkhardt et al. (2005) and Burkhardt and Stamm (2007).
The Field Study
Sulfonamides were applied to two fields, each approximately 0.4 ha. Manure applications (616 g SDM ha–1 for application 1 and 614 g SDM ha–1 for application 2, both in approximately 3 L m–2 liquid manure) were done using a tractor-mounted band spreader on 24 Mar. and 8 May 2003. Hourly values of total SDM loads in the brook were calculated from high time resolution measurements of brook discharge and concentrations in the brook at the outlet of the catchment. Because SDM was applied only to the studied fields, the loads in the brook could be used as validation data for the simulated losses from the fields. However, it was not possible to discriminate between losses through surface runoff and drain discharge. Pore water concentrations in the top 5 cm soil measured nine times during the experimental period were also used as validation data. The fields are underlain by tile drains, but the depth, spatial arrangement, and efficiency of the drainage system are not known. During the experimental period, parts of the fields were water logged. The field study is described in detail by Stoob et al. (2007).
Model Description
MACRO is a one-dimensional, process-oriented, dual-permeability model for water flow and reactive solute transport in soil. A detailed description of the model can be found in Larsbo and Jarvis (2003). Here we focus on the processes that are most important for this study.
It is assumed that all precipitation is intercepted by the crop canopy. Intercepted water is stored in the canopy until the storage capacity, Scan (mm), is exceeded. Any water exceeding Scan enters the soil surface as drip throughfall. The canopy pool is depleted by canopy evaporation. The rate of change of solutes stored in the canopy is given by:
 | [1] |
where Qcan (g m–2) is the solute stored in the canopy, t (d) is time, wi (mm d–1) is the canopy interception rate, cp (g m–3) is the concentration in the intercepted water, wd (mm d–1) is the drip throughfall rate, fe (mm–1) is the foliar washoff coefficient introduced to account for solubility and sorption on the canopy, and µcan (d–1) is the canopy degradation rate, accounting for volatilization losses and degradation. For nonreactive solutes, fe is set to Scan–1, and µcan is set to zero.
If the infiltration capacity of the micropores is exceeded, infiltrating water is routed into the macropores. Any precipitation exceeding the total infiltration capacity of the soil becomes surface runoff. Solutes in the precipitation reaching the soil surface are assumed to mix completely with any solutes contained in a thin surface layer (the "mixing zone") of a specified thickness, zmix (mm). A new sorption equilibrium is calculated before redistribution from the mixing zone into macropores and surface runoff.
The soil pore space is divided into a micropore domain and a macropore domain, characterized by different flow rates and solute concentrations. The division between pore domains is defined by a pressure potential,
b (cm), a water content,
b (-), and a hydraulic conductivity, Kb (cm h–1). For the micropore domain, water flow is governed by Richards' equation, the water retention function is described by the van Genuchten (1980) model, and the unsaturated hydraulic conductivity is described by the Mualem (1976) model. Solute transport is governed by the convection–dispersion equation. In the macropores, water flow, assumed to be dominated by gravity, is described by a modified kinematic wave equation (Germann, 1985). Because water flow rates are large, solute transport in the macropores is assumed to be solely convective.
Lateral water flow from macropores to micropores is described as a first-order process:
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where d (mm) is the diffusion path length related to aggregate size,
w (-) is a scaling factor (Gerke and van Genuchten, 1993),
m (-) is the micropore volumetric water content, and Dw (m2 s–1) is the effective water diffusivity. The mass transfer term for solutes accounts for convection and diffusion:
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where De (m2 s–1) is an effective diffusion coefficient, cmic (kg m–3) is the solute concentration in the liquid phase in micropores, cmac (kg m–3) is the solute concentration in the liquid phase in macropores, and c' (kg m–3) indicates the solute concentration in macropores or micropores, depending on the direction of water flow, Sw.
Even though the model allows for more advanced sorption models, we assumed linear equilibrium sorption. First-order solute degradation was calculated in liquid and solid phases for both pore domains. A first-order approach can also be used to model formation of non-extractable residues under the assumption that the formation rate is independent of the concentration in the non-extractable pool.
A primary drainage system located in the soil profile and a secondary drainage system surrounding the fields were considered. In both cases, flux rates from saturated soil layers above the drainage depths were calculated using potential seepage theory for layered soils (Leeds-Harrison et al., 1986).
Calibration Method
The MACRO 5.1 model was decoupled from the windows shell program, which is used for model setup in the original version. This was done to enable the use of MACRO with the UNCSIM software for statistical inference, sensitivity, identifiability, and uncertainty analysis (Reichert, 2005). MACRO and UNCSIM were loosely coupled via simple text files.
The MACRO model can be recast into a nonlinear regression model:
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where Y is the measured data of group i at time j, f() is the model estimations, x is the set of model inputs (meteorological data),
is the set of unknown model parameter values, and
is the residual error term.
Bayesian techniques have been gaining in popularity in hydrological modeling (Beven and Binley, 1992; Campbell et al., 1999) because increasing computer power has made it possible to use these computationally demanding methods on personal computers. The desired outcome of Bayesian inference is a posterior probability distribution, P(
|Y), describing what is known about the model parameters,
, given measured data, Y, and prior information. Any knowledge about parameters before considering the measured data should be included in the prior distribution, P(
). The updating of the prior is described by Bayes' theorem:
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where P(Y) is a constant of proportionality, and P(Y|
) is the likelihood function. If the residuals (Eq. [4]) are normally distributed and independent with homoscedastic SDs, the likelihood function can be written in multiplicative form:
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where
i is the SD of the residuals.
Markov Chain Monte Carlo methods are numerical techniques for sampling the posterior parameter distributions. In UNCSIM, the simplest of these methods, the Metropolis algorithm is implemented. For a detailed description on Bayesian inference and Markov Chain Monte Carlo methods, see Gelman et al. (1995). To give proper weight to all data regardless of magnitude, we used the power transformation suggested by Box and Cox (1964). To represent limited prior knowledge, we used uniform distributions for all parameters included in the calibration.
We used the Heidelberger and Welch diagnostic as implemented in the CODA software (Best and Vines, 1995) to test for convergence of the Markov chains. Each calibration was run until all parameters passed the test, and any nonstationary warm-up phases were removed before further analyses. Plots of the Markov chains were visually inspected to ascertain convergence.
The posterior distributions can be summarized by statistical measures (e.g., percentiles). In this study, we also used the reduction coefficient, defined as 1 minus the posterior SD divided by the prior SD. A reduction coefficient close to 1 indicates a high degree of parameter conditioning, and a value of 0 means that the calibration had no effect on the parameter distribution. It is also of interest to look at the simulation resulting in the largest posterior probability. This simulation is hereafter referred to as the "best simulation."
Modeling Strategy
We simultaneously calibrated hydrological parameters and substance properties using all data from the microplot experiment. Posterior parameter distributions from the microplot simulations were then used for the field data modeling exercise in predictive simulations using the stationary Markov Chains. The predictive simulations were run to study the value of the information gained from the microplot scale simulations when changing to the field scale. The bottom boundary conditions were largely unknown. Test simulations revealed that microplot results were insensitive to the bottom boundary conditions. For the field-scale simulations, we tested two scenarios representing the two possible major routes for SDM losses from the fields: (i) a drainage scenario (a 1-m-deep soil profile with tile drains at 0.8 m depth and 10 m spacing) and (ii) a runoff scenario (a 0.5-m-deep soil profile without tile drains). In both scenarios, the ground water table was allowed to rise in the profile. These two scenarios represent two extreme conditions: a fully functioning drainage system and impermeable subsoil at 0.5 m depth creating favorable conditions for saturation excess surface runoff. Neither of these scenarios is likely to be representative for the whole fields. These scenarios were chosen to get a better understanding of the major routes for SDM losses from the fields.
Parameterization
Ideally, all parameters that are to some extent uncertain and sensitive for the experimental conditions at hand should be included in the calibration. For the sake of clarity and to limit the computational demand, we limited the number of parameters. We included only the most sensitive parameters that were not well constrained by direct measurements. Because a high degree of preferential flow was reported for the experiments (Burkhardt and Stamm, 2007), we focused on parameters governing flow in macropores and exchange between pore domains. Processes at the soil surface are of major importance for the formation of runoff. Therefore, parameters regulating the water and solute balance on the canopy and in the soil mixing zone were included in the calibration. In addition to the organic carbon content of the soil, the type and content of clay minerals and the soil pH are important for the sorption of sulfonamides (Thiele-Bruhn et al., 2004; Kahle and Stamm, 2007a; Kahle and Stamm, 2007b). However, Kahle and Stamm (2007b) showed that sorption of the sulfonamide sulfathiazole to inorganic sorbents was more than an order of magnitude lower than sorption to organic sorbents. Therefore, SDM sorption was described using the organic carbon–water partition coefficient, Koc (L kg–1). The organic carbon–water partition coefficient and the first-order degradation rate coefficient in the topsoil, µtop (d–1), were included in the calibration. The degradation rate was assumed to decrease with depth according to the recommendations by FOCUS (2001). Guidance on initial parameter uncertainty was gathered from previous experience with the model (Dubus and Brown, 2002; Larsbo and Jarvis, 2006), literature (Thiele-Bruhn, 2003; Blackwell et al., 2005; Kreuzig et al., 2005), and measurements. Parameters included in the calibration and their initial uncertainty intervals are listed in Table 2
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Table 2. Parameters included in the microplot calibrations. For the prior distributions (uniform), uncertainty intervals (UI) and SDs are given. For the posterior distributions, mean values, SDs, and reduction coefficients (RC) defined as one minus the posterior SD divided by the prior SD and percentiles are given.
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Particles contained in the manure have been shown to alter soil hydraulic properties at the soil surface by partly sealing macropores and mesopores (Gangbazo et al., 1992; Edwards and Daniel, 1993). Liquid manure organic matter accumulating at the soil surface as infiltration occurs progressively decreases the hydraulic conductivity of the soil. To account for possible effects of the manure application, a separate soil horizon (0–1.3 cm depth) was introduced in which the total hydraulic conductivity, Ktot (mm h–1), and the micropore hydraulic conductivity, Kb (mm h–1), were treated separately. Because the manure application should increase surface runoff, we included
b,man = Kb – Kb,man, where Kb and Kb,man are the micropore hydraulic conductivities in the untreated soil and in the manure surface layer respectively, in the calibration instead of Kb,man. The same reasoning applies to Ktot in the manure-affected layer, where
tot,man = Ktot – Ktot,man was included in the calibration. The mixing depth, zmix (mm), was also calibrated separately for the manure treatments. Possible differences in sorption and degradation could not be studied because SDM was only applied in manure. The depth of influence is likely to be less than 1.3 cm, but for numerical reasons the depth could not be set to a smaller value. The effects of a manure application are in reality decreasing with time after application. This effect was not accounted for in the simulations.
Soil water retention was measured on replicate undisturbed soil cores (volume 100 mL) sampled at three depths by the Institute of Agrosphere at the Forschungszentrum Jülich. These data were used to estimate the parameters in the van Genuchten (1980) water retention equation using the RETC program (van Genuchten et al., 1991). These parameters (Table 3
) were not included in the calibration because the SDs for the parameter values were considered small. Crop parameters for grass were taken from FOCUS (2001), except for the crop height, which was set to the approximate average field value of 7 cm. Consistent with the canopy interception of rain (see Model Description), all irrigation water was assumed to be intercepted before reaching the soil surface as drip throughfall. We treated SDM as a nonreactive solute concerning canopy wash-off (Eq. [1]) because no information on the behavior of SDM on plant canopies was available. Additional parameters not included in the calibration are listed in Table 4
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Driving Data, Initial Conditions, and Boundary Conditions
The bottom boundary condition was chosen to allow for a fluctuating water table in the soil profile. If the base of the soil profile was saturated, a no-flow condition was applied. If the soil dried out and the bottom of the soil profile became unsaturated, a zero potential condition was applied, which causes water to flow upward into the soil profile.
The initial water contents for the microplot simulations were set to the average value of the measurements. Because the microplots were protected with plastic covers during the experimental period, the potential evapotranspiration was set to zero. For the field study, initial soil water contents were calculated assuming drainage equilibrium with a water table at the bottom of the soil profile. We used a 3-wk warm-up period before the first solute application to limit the effects of the initial soil moisture condition. Daily averages of air temperature, global radiation, air humidity, and wind speed measured at the site at 10-min resolution were used as driving data, and hourly averages of rainfall were used. For the microplot and the field study, initial solute concentrations were set to zero based on measurements and knowledge of earlier field management (Stoob et al., 2007).
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Results and Discussion
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Microplot Runoff Simulations
Measurements and simulation results for runoff volumes from the control and the manure microplots are shown in Fig. 1
. The model could not simulate the measured approximately linear increase in runoff volumes with time for the control treatment (Fig. 1a). One possible explanation for this behavior in the measured values is the time lag between runoff generation at the top end of the microplots and runoff collection at the lower end of the plots. With time, a larger proportion of the plots might have contributed to the collected runoff volumes. In the model, where this effect is not accounted for, a steady-state runoff rate is reached when the topsoil approaches saturation. For the manured plots, runoff rates increased during the whole measurement period, but, unlike in the control plots, the increase got smaller with time (Fig. 1b).

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Fig. 1. Simulated results compared with measured runoff volumes at 15-min intervals. (a) Control plots. (b) Manured plots. The best simulation is the simulation with the highest posterior probability.
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Comparisons of bromide concentrations in the runoff are presented in Fig. 2
. For the control and the manured plots, measured concentrations were well reproduced (Fig. 2). The large differences between treatments were captured. Bromide pore water concentrations are compared in Fig. 3
. For the control (Fig. 3a), the best simulation resulted in overestimated pore water concentrations at the soil surface, whereas concentrations were underestimated at depths below 10 cm. The pore water concentrations for the manured plots (Fig. 3b) were generally overestimated. The simulated depth profiles for the control and the manured plots were similar, indicating that the differences in parameterization for the surface layer did not have a strong influence.

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Fig. 2. Simulated results compared with measured bromide concentrations in runoff. (a) Control plots. (b) Manured plots. The best simulation is the simulation with the highest posterior probability.
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Fig. 3. Simulated results compared with measured bromide concentrations in soil pore water. (a) Control plots. (b) Manured plots. The best simulation is the simulation with the highest posterior probability.
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Comparisons between measured and simulated results for SDM concentrations in runoff and pore water after manure application are presented in Fig. 4
. The concentrations in runoff were generally well reproduced (Fig. 4a). However, the model could not fully simulate the different behavior of bromide and SDM in runoff. Here, as opposed to the bromide simulations (Fig. 2a), the simulated decrease in runoff concentrations was too slow compared with the measured data. This indicates that the simple sorption and degradation models used were to some extent insufficient. The rapid decrease with depth of pore water concentrations was well reproduced by the model (Fig. 4b). Overall, the simulation results for the microplots indicate that the most important processes were accounted for by the model.

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Fig. 4. Simulated results compared with measured sulfadimidine concentrations on manured plots. (a) Runoff. (b) Soil pore water. The best simulation is the simulation with the highest posterior probability.
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The uncertainty in model outputs was described by the 2.5th and 97.5th percentiles. This uncertainty is associated with parameter uncertainty and model error. Uncertainty intervals were large, especially for the bromide pore water concentrations at depths below 12 cm. These large uncertainty intervals reflect the problems with simulating the bromide depth profiles. The level of acceptable uncertainty is dependent on the application. If the aim is to estimate or predict SDM losses by surface runoff, large uncertainties for pore water bromide concentrations may be acceptable.
Posterior Parameter Distributions and Parameter Identifiability
Statistics describing the posterior parameter distributions from the microplot scale simulations are summarized in Table 2. Not surprisingly, Ktot was well constrained by the measured data. The simulated infiltration rate at steady state and hence the runoff rate (during constant excessive irrigation) is solely controlled by Ktot at the soil surface (assuming the water table does not reach the soil surface). The micropore hydraulic conductivity was also fairly well constrained. It determines how deep into the soil matrix solutes are transported and has an effect on when runoff starts and thereby on the concentrations in runoff. Apart from Ktot, the water flow in the macropores is determined by the macroporosity,
mac (-), and the kinematic exponent, n* (-), which describes the continuity and tortuosity of the macropores. The latter was not conditioned by the data (Table 2). The exchange of water and solutes between pore domains (Eq. [2] and [3]) is determined by the diffusion path length, d, which reflects the geometry of the macropore system. The diffusion path length has previously been proven highly sensitive for solute leaching from soils prone to preferential flow (Dubus and Brown, 2002). In this study, dtop was constrained to values between 7.47 and 80.2 mm, whereas dsub was between 94.2 and 186 mm. This relatively large posterior uncertainty is probably due to the lack of leaching data. The mixing depth has been shown to be relatively insensitive for pesticide leaching (Dubus and Brown, 2002) and for resident and effluent tracer concentrations in lysimeter experiments (Larsbo and Jarvis, 2006). We expected zmix to be more sensitive to concentrations in runoff because there is a direct connection between zmix and the rate of the depletion of solutes from the mixing zone. The mixing depth was highly conditioned toward the lower limit of the initial uncertainty.
The mean value of Koc was in the lower end of the interval of reported literature values ranging from 80 to 208 L kg–1 (Thiele-Bruhn, 2003). This may at least partly be explained by the short contact time between SDM and the soil material because sorption strongly increases with time (Kahle and Stamm, 2007a). The mean value for µtop was much larger than measured values for other sulfonamides in soil (Blackwell et al., 2005; Kreuzig et al., 2005). The time for sorption equilibration has proven to exert a strong influence on the extraction recovery (Hamscher et al., 2005; Wehrhan et al., 2007; Kahle and Stamm, 2007a). The reason for this is considered to be formation of non-extractable residues (Kreuzig et al., 2005). In our case, µtop includes possible formation of non-extractable residues. The posterior distribution was highly skewed toward large values. This indicates that an even larger value of µtop might have led to a better fit to the measured data. However, based on the available literature data, such fast dissipation seems unrealistic.
The mean value of the posterior distribution for Scan was 1.59 mm (Table 2), which means that approximately 53% of the applied solutes were intercepted by the canopy at application. Interception of pesticides by the crop canopy may lead to increased losses through runoff and higher concentrations in the soil after irrigation because the time for the compound to react with the soil before the onset of runoff is decreased (Reddy and Locke, 1996). This effect was very clear in the SDM simulations. Runoff concentrations were up to 50% lower in test simulations without the crop cover. The canopy degradation rate was well conditioned to values much smaller than µtop. To our knowledge, there are no studies on the dissipation of SDM in crop canopies available, but Thiele-Bruhn and Peters (2007) reported a photodegradation rate of 0.1 d–1 for SDM in pig slurry. This indicates that the posterior distribution for µcan may be reasonable.
The larger measured runoff from manured plots (Fig. 1) was attributed to surface sealing by manure solids decreasing the infiltration capacity of the soil (Burkhardt et al., 2005). Of the three parameters describing the effects of the manure application,
tot,man was highly conditioned by the data (Table 2). The mean value of the posterior distribution for
tot,man reflects the lower steady-state infiltration rate for the manured plots. The measured bromide concentrations in runoff (Fig. 2) were higher for the manured plots. This was probably an effect of the decreased total and matrix infiltration rate due to surface sealing by the manure application. For the control plots, a larger fraction of the solutes was transported down into the profile below the mixing depth before the onset of runoff. There, the solutes were less available when runoff started. Similar reasoning has been proposed by Potter et al. (2003). The above hypothesized effect on the micropore hydraulic conductivity was reflected in the posterior distribution for
b,man. In contrast to the posterior distribution for zmix, zmix,man was highly conditioned toward the higher limit of the initial uncertainty. It is not clear why the manure application increased zmix. The different posterior distributions for zmix and zmix,man may have compensated for other processes affected by the manure that were not handled by the model rather than reflecting differences in solute mixing.
The measured data indicated that the manure application matrix strongly influenced runoff volumes and bromide concentrations under the microplot experimental conditions. Because these conditions were designed to induce surface runoff, the effects under natural field conditions may be very different. In the microplot experiments, the accumulated runoff was 2.6 and 14.7% of the applied irrigation for the control and manured plots, respectively. It seems likely that the effects of the application matrix on solute losses through runoff should be, in a relative sense, smaller when a larger proportion of the rain is becoming runoff. A decrease in the total hydraulic conductivity at the soil surface from 19.2 to 15.6 mm h–1, which was indicated by the calibration, would probably have limited effect on the runoff losses under natural field conditions because rain intensities of that magnitude are rare. However, the changes in Kb may have large effects on the generation of macropore flow and thereby on leaching to ground water or to field drains.
Field-Scale Simulations
The results of the two scenarios from the field-scale simulations are presented in Fig. 5
, which shows the uncertainty intervals of the simulations due to parameter uncertainty. The two scenarios, which represent different lower boundary conditions, yielded very different SDM load predictions. For the runoff scenario, the timing of the major events was well captured; however, total losses were largely overestimated (Fig. 5a and 5c). The accumulated simulated losses were 9.9% of the applied amount, which should be compared with the accumulated measured losses of 0.33%. In contrast, the total losses of SDM were largely underestimated for the drainage scenario (Fig. 5a and 5b). Here, the simulated accumulated losses were only 3.1 x 10–5%. This scenario also revealed a large temporal mismatch between the measured and simulated losses.

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Fig. 5. Measured and simulated losses from the fields. (a) Measured losses and precipitation. (b) Uncertainty interval for simulated sulfadimidine losses for the drainage scenario. (c) Uncertainty interval for simulated sulfadimidine losses for the runoff scenario. Note the different scales and units on the y axes. The uncertainty intervals are defined by the 2.5th and the 97.5th percentiles.
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These results suggest at first glance that losses through drains did not significantly contribute to the total losses from the fields. The timing of the simulated runoff, which matched the measured values well, suggests that surface runoff caused the losses. However, the large overestimation of the losses indicates that some retention mechanism in the field was not accounted for by the model. Indeed, in MACRO, as applied here, the fields were assumed to be homogeneous, and any surface runoff was instantly transferred off the field. In reality, the spatial heterogeneity of soil properties in the fields and the topography probably led to different processes dominating the losses at different locations within the fields. Surface runoff generated in one location may have re-infiltrated in another location. This interception of runoff may be strongly enhanced in areas close to subsurface drains (Stamm et al., 2002). As a consequence, losses through tile drains may have been much larger than indicated by the simulation results.
Due to these lateral heterogeneities, a more empirically based approach, such as Soil Conservation Service runoff curve numbers applied (e.g., in the Pesticide Root Zone Model [PRZM]; Carsel et al., 1998), might have been more appropriate for the field-scale simulations. However, the PRZM runs on a daily time step, and it would not have been applicable to the simulation of the microplot experiments. Furthermore, the PRZM does not account for the combined effects of macropores and tile drains that may have been relevant in this case.
The information gained in the microplot experiments regarding the soil properties had limited value for the field-scale simulations. By applying different lower boundary conditions, the same soil properties resulted in a vastly different temporal SDM load pattern. The microplot experiments did not help to constrain these boundary conditions. Because the microplots were protected with plastic covers, these experiments could not provide information on the upper boundary conditions for the fields. However, test simulations assuming a bare soil surface showed that the large uncertainties in the field evapotranspiration did not significantly affect simulated loads.
Pore water concentrations in the top 5 cm soil are presented in Fig. 6
for the runoff scenario only because differences between scenarios were minor. The data were fairly well reproduced by the model even though the peak concentration for the second application was overestimated. The fairly good fit to measured data indicates that the degradation rate in the topsoil from the microplot calibrations was reasonable also for the field data. However, the persistence of SDM was underestimated, which can be seen in the poor fit to the measurement just before the second application and the final measurement. This is probably because the model did not account for the observed bi-phasic nature of the dissipation of SDM (Stoob et al., 2007). The simulated increase in concentrations before the third measurement is due to the wash-off of solutes stored on the canopy during the first rainfall after application.

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Fig. 6. Measured values and simulated uncertainty intervals for pore water concentrations. The uncertainty intervals are defined by the 2.5th and the 97.5th percentiles.
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Conclusions
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Our results demonstrate that existing simulation tools like MACRO, which are used extensively in the context of pesticide fate modeling, can be adapted with reasonable effort to account for conditions specific for application to VMPs. The introduction of a manure-affected layer at the soil surface is an example of such a modification. Possible future extensions could include pH-dependent speciation and sorption of compounds like sulfonamides.
The major problems we encountered were related to applying parameters obtained at the microplot scale to the field scale. This issue is not specific to VMPs but represents a general problem of solute transport modeling. There are at least two aspects to this issue. First, the spatial information that is needed to correctly parameterize the models is often lacking. In this case, the lower boundary conditions had a major influence on the load dynamics. Second, one-dimensional models like MACRO have inherent problems in accounting for two- or three-dimensional processes such as surface runoff, retention, and re-infiltration. Such limitations have to be overcome to improve predictions for VMPs and for pesticides and other agrochemicals.
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ACKNOWLEDGMENTS
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The model evaluation was funded by grants from the European Union (ERAPharm, project no. 511135). The experimental work took place within the framework of the Swiss National Research Program NRP 49 on Antibiotic Resistance. We thank the Institute of Agrosphere at Forschungszentrum Jülich, Germany, for providing the soil water retention data and Dr. Jing Yang at the Swiss Federal Inst. for Aquatic Science and Technology (Eawag) for advice on the Bayesian methods.
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NOTES
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All rights reserved. No part of this periodical may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher.
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