GREEN

Geospatial Regression Equation for European Nutrient losses
Fact Sheet

Source: Commission modelling inventory and knowledge management system (MIDAS)

Date of Report Generation: Thu Mar 06 2025

Dissemination: Public

© European Union, 2025

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Overview

Acronym

GREEN

Full title

Geospatial Regression Equation for European Nutrient losses

Main purpose

A statistical model used to assess the impact of different nutrient sources, i.e. agriculture, wastewater and industrial discharges, atmospheric deposition, on freshwater and coastal waters.

Summary

GREEN is a statistical model used to assess the impact of agricultural fertilizers and other sources of nutrients on the environment. The GREEN model estimates the mass discharge of total nitrogen (N) and total phosphorus (P) through the stream network down to marine coastal areas, the concentration of N and P, and the relative contribution of diffuse and point sources to the total mass discharge/concentration. 

GREEN is a simplified conceptual model, which distinguishes between two different pathways in nutrient transfer from sources to catchment outlet (Grizzetti et al., 2006, 2005a, 2005b). Diffuse sources (DS), which include applied synthetic and manure fertilisers, atmospheric deposition and emissions with wastewater from scattered dwellings (i.e. homesteads that are disconnected from sewerage systems), first undergo degradation in the soil via various processes including crop uptake, atmospheric losses and soil storage, before reaching the stream network. Point sources (PS), which include discharges from sewers, waste water treatment plants, industries and paved areas are directly emitted to the stream network. Once in the stream network, nutrients are partially retained in the streams due to algae growth, atmospheric losses etc. The calculation is performed on a catchment of interest, which is subdivided into a number of sub-basins (n) based on a topographic discretisation. A routing structure is then elaborated and serves to establish an emitting-receiving sub-basins relationship, i.e. an up-stream nutrient load is considered as an additional point source to the receiving down-stream sub-basin. With this representation, the emissions of N and P from upstream are transferred downstream taking into account the mass fraction lost in the basin and in the stream network.

Model categories

Οther

Model keywords

Environmentagriculturewaternitrogenwastewaterphosphorus

Model homepage

https://cran.r-project.org/web/packages/GREENeR/

Ownership and Licence

Ownership

EU ownership (European Commission)

Ownership details

Licence type

Free Software licence

The license grants freedom to run the programme for any purpose; freedom to run the program for any purpose; freedom to study (by accessing the source code) how the program works, and change it so it does enable computing; freedom to redistribute copies; and freedom to distribute copies of modified versions to others.

Details

Structure and approach

Input and parametrization

Model inputs are:

  • Annual climate data (precipitation)
  • Annual input of fertilizer application (manure, mineral fertilizers), atmospheric nitrogen deposition and biological fixation, extent of agricultural and non-agricultural area.
  • Discharges of N and P from industrial installations, untreated and treated wastewater. The latter are usually estimated from population density and connectivity to waste water collecting and treating systems, or available datasets of wastewater discharge points (Vigiak et al. 2018; 2020; 2023). Geomorphological information is needed in order to build the hydrographic model used in the calculation. The model consists of a set of interconnected sub-basins each containing a segment of the stream network. 

Main output

Model outputs are:

  • Nitrogen and phosphorus source apportionment
  • Annual discharge of nitrogen and phosphorus loads, and concentration in stream water.

Spatial & Temporal extent

The output has the following spatial-temporal resolution and extent:

ParameterDescription
Spatial extent / country coverageEU Member states 27NorwaySwitzerland
Spatial resolutionOther
sub-catchment
Temporal extentLong-term (more than 15 years)
The latest model application provides annual outputs for 1990-2018.
Temporal resolutionYears

Quality & Transparency

Quality

Model uncertainties

Models are by definition affected by uncertainties (in input data, input parameters, scenario definitions, etc.). Have the model uncertainties been quantified? Are uncertainties accounted for in your simulations?

no
The model is occasionally calibrated depending on the availability of data. Calibration provides an indication of the error associated to the model in predicting loads and concentrations.

    Sensitivity analysis

    Sensitivity analysis helps identifying the uncertain inputs mostly responsible for the uncertainty in the model responses. Has the model undergone sensitivity analysis?

    no
    The model, insofar as spatially distributed, is sensitive to the input emissions. Sensitivity analysis is only carried out for model parameters, and not on data inputs.

      Have model results been published in peer-reviewed articles?

      yes

        Has the model formally undergone scientific review by a panel of international experts?

        Please note that this does not refer to the cases when model results were validated by stakeholders.

        no
        Only in the context of the scientific peer review of journal papers.

          Model validation

          Has model validation been done? Have model predictions been confronted with observed data (ex-post)?

          yes
          The model has been extensively compared with measured N and P concentration data and to other model outputs, as documented in the references provided.

            Transparency

            To what extent do input data come from publicly available sources?

            This may include sources accessible upon subscription and/or payment

            Entirely based on publicly available sources

            Is the full model database as such available to external users?

            Whether or not it implies a specific procedure or a fee

            no
            (To be made available with the latest release)

              Have model results been presented in publicly available reports?

              Note this excludes IA reports.

              yes

              For details please refer to the 'peer review for model validation' documents in the bibliographic references

              Is there any user friendly interface presenting model results that is accessible to the public?

              For instance: Dashboard, interactive interfaces...

              yes

              Has the model been documented in a publicly available dedicated report or a manual?

              Note this excludes IA reports.

              yes
              The model does not require a user’s manual. A full description of the model can be found in Grizzetti et al. (2021). The R implementation package includes a vignette that can be used for guidance.

              Is there a dedicated public website where information about the model is provided?

              no

                Is the model code open-source?

                yes
                An R implementation of the code (GREENeR) is publicly available.

                Can the code be accessed upon request?

                not applicable

                The model’s policy relevance and intended role in the policy cycle

                The model is designed to contribute to the following policy areas

                • Agriculture and rural development
                • Environment

                The model is designed to contribute to the following phases of the policy cycle

                • Evaluation – such as ex-post evaluation
                • Formulation – such as ex-ante Impact Assessments

                The model’s potential

                Appraisal of policy scenarios in terms of mass discharges and concentrations of N and P, by identifying areas that might be affected by nutrient pollution , evaluating the effectiveness of the legislation and policy options in reducing nutrient loads entering freshwaters.

                 

                Previous use of the model in ex-ante impact assessments of the European Commission

                Use of the model in ex-ante impact assessments since July 2017.

                2022
                SWD/2022/541 final

                Impact Assessment accompanying the document Proposal for a Directive of the European Parliament and of the Council concerning urban wastewater treatment (recast)

                Lead by
                ENV
                Run by
                European Commission
                Contribution role
                baseline and assessment of policy options
                Contribution details

                GREEN was used to compute the discharges of N and P to the EU regional seas taking into account also other sources of nutrients (agriculture, atmospheric deposition etc.). Users can run GREEN to replicate the results of its contribution to this impact assessment and compare the different scenarios using this <a href="https://green.geodab.org/" target="_blank" rel="nofollow" />web application</a>.

                Bibliographic references

                Studies that uses the model or its results

                An Assessment of Options to Improve the Removal of Excess Nutrients from European Wastewater 

                Published in 2023
                Pistocchi, A., Grizzetti, B., Nielsen, P. H., Parravicini, V., Steinmetz, H., Thornberg, D., & Vigiak, O. (2023). An Assessment of Options to Improve the Removal of Excess Nutrients from European Wastewater. Water, Air, &amp; Soil Pollution, 234(9). https://doi.org/10.1007/s11270-023-06478-3

                Water quality in Europe: effects of the Urban Wastewater Treatment Directive  

                Published in 2019
                Pistocchi, A., Dorati, C., Grizzetti, B., Udias Moinelo, A., Vigiak, O. and Zanni, M., Water quality in Europe: effects of the Urban Wastewater Treatment Directive, EUR 30003 EN, Publications Office of the European Union, Luxembourg, 2019, ISBN 978-92-76-11263-1 (online), doi:10.2760/303163 (online), JRC115607.

                Peer review for model validation

                Recent regional changes in nutrient fluxes of European surface waters 

                Published in 2023
                Vigiak, O., Udías, A., Grizzetti, B., Zanni, M., Aloe, A., Weiss, F., Hristov, J., Bisselink, B., de Roo, A., & Pistocchi, A. (2023). Recent regional changes in nutrient fluxes of European surface waters. Science of The Total Environment, 858, 160063. https://doi.org/10.1016/j.scitotenv.2022.160063

                How EU policies could reduce nutrient pollution in European inland and coastal waters 

                Published in 2021
                Grizzetti, B., Vigiak, O., Udias, A., Aloe, A., Zanni, M., Bouraoui, F., Pistocchi, A., Dorati, C., Friedland, R., De Roo, A., Benitez Sanz, C., Leip, A., & Bielza, M. (2021). How EU policies could reduce nutrient pollution in European inland and coastal waters. Global Environmental Change, 69, 102281. https://doi.org/10.1016/j.gloenvcha.2021.102281

                Effects of Nutrient Management Scenarios on Marine Eutrophication Indicators: A Pan-European, Multi-Model Assessment in Support of the Marine Strategy Framework Directive 

                Published in 2021
                Friedland, R., Macias, D., Cossarini, G., Daewel, U., Estournel, C., Garcia-Gorriz, E., Grizzetti, B., Grégoire, M., Gustafson, B., Kalaroni, S., Kerimoglu, O., Lazzari, P., Lenhart, H., Lessin, G., Maljutenko, I., Miladinova, S., Müller-Karulis, B., Neumann, T., Parn, O., … Vandenbulcke, L. (2021). Effects of Nutrient Management Scenarios on Marine Eutrophication Indicators: A Pan-European, Multi-Model Assessment in Support of the Marine Strategy Framework Directive. Frontiers in Marine Science, 8. https://doi.org/10.3389/fmars.2021.596126

                Domestic waste emissions to European waters in the 2010s 

                Published in 2020
                Vigiak, O., Grizzetti, B., Zanni, M., Aloe, A., Dorati, C., Bouraoui, F., & Pistocchi, A. (2020). Domestic waste emissions to European waters in the 2010s. Scientific Data, 7(1). https://doi.org/10.1038/s41597-020-0367-0

                Modelling Nitrogen Pressure in River Basins: A Comparison Between a Statistical Approach and the Physically-Based SWAT Model 

                Published in 2005
                Grizzetti B, Bouraoui F, De Marsily G. Modelling Nitrogen Pressure in River Basins: A Comparison Between a Statistical Approach and the Physically-Based SWAT Model. PHYSICS AND CHEMISTRY OF THE EARTH 30; 2005. p. 508-517. JRC52755

                A Statistical Method for Source Apportionment of Riverine Nitrogen Loads.

                Published in 2005
                Grizzetti B, Bouraoui F, De Marsily G, Bidoglio G. A Statistical Method for Source Apportionment of Riverine Nitrogen Loads.. Journal of Hydrology 304; 2005. p. 302-315. JRC28950

                Model documentation

                An Assessment of Options to Improve the Removal of Excess Nutrients from European Wastewater 

                Published in 2023
                Pistocchi, A., Grizzetti, B., Nielsen, P. H., Parravicini, V., Steinmetz, H., Thornberg, D., & Vigiak, O. (2023). An Assessment of Options to Improve the Removal of Excess Nutrients from European Wastewater. Water, Air, &amp; Soil Pollution, 234(9). https://doi.org/10.1007/s11270-023-06478-3

                GREENeR: An R Package to Estimate and Visualize Nutrients Pressures on Surface Waters 

                Published in 2022
                Udías, A., Grizzetti, B., Vigiak, O., Aloe, A., Alfaro, C., & Gomez, J. (2022). GREENeR: An R Package to Estimate and Visualize Nutrients Pressures on Surface Waters. The R Journal, 15(3), 119–137. https://doi.org/10.32614/rj-2023-065

                How EU policies could reduce nutrient pollution in European inland and coastal waters 

                Published in 2021
                Grizzetti, B., Vigiak, O., Udias, A., Aloe, A., Zanni, M., Bouraoui, F., Pistocchi, A., Dorati, C., Friedland, R., De Roo, A., Benitez Sanz, C., Leip, A., & Bielza, M. (2021). How EU policies could reduce nutrient pollution in European inland and coastal waters. Global Environmental Change, 69, 102281. https://doi.org/10.1016/j.gloenvcha.2021.102281

                Other related documents

                No references in this category