Howden,N.J.K., Burt,T.P., Mathias,S.A., Worrall,F. and Whelan,M.J.(2011): Modelling long-term diffuse nitrate pollution at the catchment-scale: Data, parameter and epistemic uncertainty. Journal of Hydrology, 403, 337-351.

『流域スケールでの長期拡散硝酸塩汚染のモデル化:データとパラメータと認識論的不確かさ』


Abstract
 A model of catchment-scale nitrate transport is presented for a small, rural headwater basin (Alton Pancras: <10 km2 in Dorset, UK, for the period 1930-2007. Estimates of annual nitrogen (N) loading were based on parish land-use data, held in the UK's National Archives, and previously reported figures of typical UK N loadings from livestock, fertiliser, ploughing of permanent pasture, atmospheric deposition, biological fixation and crop uptake. Loading calculations were performed within an uncertainty framework to allow for the reliance on literature data sources. Loading calculations show that all significant sources must be included not just fertiliser application which, at most, contributes 50% of N input in any given year. A simple algorithm was used to transform estimated catchment N loading (1930-2007) into a river nitrate response (observed data: 1980-2004). This assumed N-loads were delayed by some catchment mean travel time (MTT), ta, attenuated according to a Peclet number, Pe, converted into solute concentrations by a factor, α, to increase some initial baseline river concentration, Cb. Simple graphical translation of estimated catchment N loading to the river concentration data suggested a MTT of around 37 years. As Pe→∞, the transport model simplified to a linear relationship between catchment N load and river nitrate concentration response lagged by the MTT. Hence, the model results suggest that, in this catchment, advection is the dominant mechanism for transport of diffuse pollution from land to river: there is little or no dispersion present. The MTT (ta) was then reconsidered using an estimated distribution of unsaturated zone depths in the Alton Pancras catchment. Conclusions suggest that, in modelling of long-term nutrient transport, a detailed source term is of much greater importance than a complex hydrogeological model. Implications of epistemic uncertainty, long-term prediction and management of diffuse agricultural pollution are discussed.

keywords: Nitrate; Model; Catchment; Long-term; Land use; Groundwater』

1. Introduction
2. Study catchment
3. Methods
 3.1. Catchment N-source estimation
  3.1.1. Nitrogen loading model
  3.1.2. Land-use categories
  3.1.3. Inorganic feltilisers
  3.1.4. Livestock
  3.1.5. Ploughing of permanent pasture
  3.1.6. Biological fixation
  3.1.7. Denitrification
  3.1.8. Crop uptake
  3.1.9. Load estimates: uncertainty
  3.1.10. Load estimates: sensitivity
 3.2. Catchment-scale transport model
 3.3. Transport parameter estimation
4. Results
 4.1. Catchment N-load estimation
  4.1.1. Inorganic fertiliser application
  4.1.2. Animal excreta
  4.1.3. Enhanced mineralisation from ploughing permanent grassland
  4.1.4. Crop uptake
  4.1.5. Total load estimation
  4.1.6. Sensitivity of total and component load estimates
 4.2. Transport model
  4.2.1. Parameters
  4.2.2. Catchment response to N-load inputs
5. Discussion
 5.1. nitrogen loading estimates
 5.2. Uncertainty in load estimates
  5.2.1. Estimates of total N-load
  5.2.2. Sensitivity of total load to component load uncertainty
 5.3. The use of external data
 5.4. Solute transport model
  5.4.1. Epistemic uncertainty in long-term diffuse solute transport
6. Conclusions
Acknowledgements
References


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