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DSD-INT 2014: 3 November 2014 
Optimisation of the nutrient reduction strategy for the North Sea 
IenM/RWS WVL : Ronald van Dokkum Deltares: Tineke Troost , Hans Los, Jan v. Beek, Christophe Thiange, Marc Weeber, Joost v.d Roovaart, Sibren Loos
Contents 
1.Introduction 
2.Approach 
3.Results 
4.Conclusions 
2
3 
Eutrophication in the North Sea 
Nuisance blooms 
•scum layers, bad odour, foam on beaches 
Oxygen depletion 
•mortality of benthic fauna 
Phaeocystis
4 
Assessment of ecological status 
2008
Nitrogen targets (winterconc DIN mg/l) 
In case of overlapping targets the most strict of the two is considered 
5 
Offshore targets (OSPAR) 
Coastal targets (WFD)
6 
Project objective 
• Starting point: Several areas with present nutrient concentrations 
• Desired end point: target nutrient concentrations 
• Potential Measures: River load reductions 
Objective: To find the optimal set of river load reductions to meet all targets
Contents 
1.Introduction 
2.Approach 
3.Results 
4.Conclusions 
7
8 
Modeling approach 
due to: 
-Transboundary transport of nutrients 
-Biogeochemical processes 
-Limiting factors may vary (e.g. nitrate, phosphate, light) 
Relative reduction (%) in chlorophyll concentration following 50% river loads reduction 
Non-linear response of the ecosystem to reduced river loads
Integrated catchment and coastal model 
9 
Hydrology: SOBEK-RR Hydrodynamics: Delft3D-FLOW
10 
biogeochemical processes: Delft3D-WAQ 
•N, P, Si, plankton, detritus , O2 
•4 functional groups: diatoms, flagellates, dinoflagelates, Phaeocystis 
•3 phenotypes adapted to environmental conditions (light, N, P limitation) 
•Nutrient uptake, respiration, mortality + ‘grazing’ 
•Decay in water & sediments, nitrification, denitrification: parameterised 
•O2 production, consumption, reareation 
•Light extinction (CDOM, SPM, algae, detritus) 
(see e.g. Los & Wijsman, JMS, 2007) 
AlgaePNCNNH4-NNO3-NPPO4-PDetritus PNCsettlingsettlingrespirationphotosynthesisNutrientmineralisationmineralisationmetabolismmortalityDOproductionconsumptionreaerationDetritus in SedimentC N P SiSiSiN2 denitrificationmineralisation& nitrificationautolysisSiconsumptionnitrificationGrazersgrazinggrazingoxygen consumptionbiodepositionAIPadsorptionMicrophytobenthosC N P SiAIP in sedimentsettlingmortalityphotosynthesis
How to determine required nutrient reductions 
Traditional approach (source oriented) 
•Change some forcings (river loads) 
•Rerun several times (scenarios) 
•Look at difference between scenarios and base case 
11 
? 
Current situation 
Desired end point
How to determine required nutrient reductions 
12 
Alternative approach (target oriented) 
1. Labelling: follow fate and transport of all nutrients 
2. Set up composition matrix 
3. Apply optimization technique 
Current situation 
Desired end point
Step 1. Labelling nutrients 
13 
• Labeling the nutrients when they enter the system and following 
them throughout time and space 
FR 
BE 
NL2 
NL1 
GM 
UK1 
UK2 
Atlantic 
Channel 
Atm 
Dep 
NH4 
NH4r 
flux 
shadow flux 
NH4r / NH4 x flux
14 
Step 2: From labelling to Composition Matrix 
Labelling Technique 
Area/River BE FR GM NL1 NL2 UK1 UK2 CH NA ATM PO4 
UKC6 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000288 0.000012 0.022190 0.000000 0.02249 
UKO5 0.000000 0.000002 0.000004 0.000002 0.000000 0.000003 0.000025 0.000244 0.022566 0.000000 0.022846 
NO2 0.000003 0.000017 0.000025 0.000024 0.000001 0.000030 0.000236 0.002374 0.020817 0.000000 0.023527 
DO1 0.000085 0.000215 0.000263 0.000612 0.000043 0.000435 0.001901 0.017441 0.014486 0.000000 0.035481 
DC1 0.000252 0.000558 0.001977 0.002379 0.000222 0.000635 0.001018 0.030624 0.008692 0.000000 0.046357 
UKC5 0.000000 0.000001 0.000001 0.000001 0.000000 0.000001 0.000657 0.000046 0.023142 0.000000 0.023849 
UKC4 0.000000 0.000002 0.000001 0.000001 0.000000 0.000002 0.000378 0.000060 0.022880 0.000000 0.023324 
DO2 0.000002 0.000016 0.000014 0.000016 0.000001 0.000027 0.000242 0.002743 0.020642 0.000000 0.023703 
UKC3 0.000000 0.000001 0.000001 0.000001 0.000000 0.000002 0.003233 0.000048 0.022592 0.000000 0.025878 
UKO4 0.000001 0.000004 0.000001 0.000003 0.000000 0.000005 0.000084 0.000107 0.021042 0.000000 0.021247 
NLO3 0.000001 0.000012 0.000001 0.000008 0.000001 0.000022 0.000416 0.000890 0.020350 0.000000 0.021701 
GO3 0.000002 0.000013 0.000002 0.000010 0.000001 0.000023 0.000372 0.001708 0.020178 0.000000 0.022309 
DWD1 0.000237 0.000467 0.001962 0.002312 0.000248 0.000378 0.000117 0.008755 0.000984 0.000000 0.01546 
UKO3 0.000001 0.000005 0.000001 0.000003 0.000000 0.000006 0.000197 0.000127 0.021148 0.000000 0.021488 
GO2 0.000059 0.000172 0.000008 0.000253 0.000013 0.000524 0.002121 0.013181 0.014801 0.000000 0.031132 
NLO2 0.000020 0.000084 0.000000 0.000065 0.000002 0.000198 0.001332 0.003989 0.018964 0.000000 0.024654 
DWD2 0.000334 0.000651 0.003289 0.003239 0.000345 0.000558 0.000216 0.013368 0.001074 0.000000 0.023074 
UKC2 0.000011 0.000090 0.000000 0.000019 0.000000 0.000206 0.003137 0.007305 0.015703 0.000000 0.026471 
UKO2 0.000038 0.000271 0.000000 0.000060 0.000000 0.000436 0.001268 0.010237 0.012667 0.000000 0.024977 
GO1 0.000458 0.000858 0.000415 0.002850 0.000232 0.001867 0.001296 0.044914 0.002917 0.000000 0.055807 
GC1 0.000571 0.001017 0.003236 0.005270 0.000587 0.001169 0.000514 0.039424 0.001860 0.000000 0.053648 
UKC1 0.000089 0.000793 0.000000 0.000132 0.000000 0.007237 0.000615 0.019530 0.001030 0.000000 0.029426 
GWD1 0.000413 0.000764 0.020616 0.004109 0.000474 0.000637 0.000188 0.013233 0.000616 0.000000 0.04105 
UKO1 0.000126 0.001022 0.000000 0.000201 0.000000 0.001455 0.000088 0.024638 0.000210 0.000000 0.02774 
NLO1a 0.000432 0.001254 0.000000 0.000852 0.000000 0.001217 0.000008 0.024627 0.000013 0.000000 0.028403 
NLO1b 0.000168 0.000701 0.000000 0.000481 0.000010 0.001295 0.001498 0.019549 0.004623 0.000000 0.028325 
UKC7 0.000002 0.000455 0.000000 0.000003 0.000000 0.000248 0.000001 0.027388 0.000001 0.000000 0.028098 
BO1 0.000184 0.001055 0.000000 0.000360 0.000000 0.000990 0.000007 0.025638 0.000002 0.000000 0.028236 
FO1 0.000006 0.001187 0.000000 0.000010 0.000000 0.000152 0.000001 0.026008 0.000001 0.000000 0.027365 
UKC8 0.000000 0.000219 0.000000 0.000000 0.000000 0.000422 0.000000 0.022732 0.000000 0.000000 0.023373 
BC1 0.001958 0.001340 0.000000 0.004015 0.000000 0.000665 0.000003 0.019743 0.000005 0.000000 0.027729 
NLC1 0.006215 0.001217 0.000000 0.008665 0.000000 0.000982 0.000004 0.019279 0.000023 0.000000 0.036385 
NLC2a 0.001144 0.001249 0.000000 0.011720 0.000000 0.001231 0.000005 0.023109 0.000027 0.000000 0.038485 
NLC2b 0.000858 0.001238 0.000000 0.009147 0.000039 0.001896 0.000071 0.028759 0.000070 0.000000 0.042078 
NLC3 0.000683 0.001126 0.000003 0.004097 0.000238 0.002140 0.000445 0.030589 0.000534 0.000000 0.039855 
UKC9 0.000000 0.000054 0.000000 0.000000 0.000000 0.000071 0.000000 0.022430 0.000000 0.000000 0.022555 
FC2 0.000004 0.003012 0.000000 0.000008 0.000000 0.000030 0.000000 0.023247 0.000000 0.000000 0.026301 
FC1 0.000000 0.000105 0.000000 0.000000 0.000000 0.000000 0.000000 0.022364 0.000000 0.000000 0.022469 
GWD2 0.000416 0.000762 0.002443 0.004235 0.000541 0.000744 0.000288 0.030153 0.001288 0.000000 0.04087 
NLWD 0.000522 0.000667 0.000408 0.004005 0.005824 0.001097 0.000170 0.021453 0.000289 0.000000 0.034435 
…leads to… 
Composition Matrix
Step 3: Optimisation 
15 
1. We replace present concentrations by desired reductions 
2. Apply an optimisation technique (e.g. Linear Programming) 
Area/River BE FR GM NL1 NL2 UK1 UK2 CH NA ATM PO4 PO4Reduction 
UKC6 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000288 0.000012 0.022190 0.000000 0.02249 0 
UKO5 0.000000 0.000002 0.000004 0.000002 0.000000 0.000003 0.000025 0.000244 0.022566 0.000000 0.022846 0 
NO2 0.000003 0.000017 0.000025 0.000024 0.000001 0.000030 0.000236 0.002374 0.020817 0.000000 0.023527 0 
DO1 0.000085 0.000215 0.000263 0.000612 0.000043 0.000435 0.001901 0.017441 0.014486 0.000000 0.035481 0 
DC1 0.000252 0.000558 0.001977 0.002379 0.000222 0.000635 0.001018 0.030624 0.008692 0.000000 0.046357 0 
UKC5 0.000000 0.000001 0.000001 0.000001 0.000000 0.000001 0.000657 0.000046 0.023142 0.000000 0.023849 0 
UKC4 0.000000 0.000002 0.000001 0.000001 0.000000 0.000002 0.000378 0.000060 0.022880 0.000000 0.023324 0 
DO2 0.000002 0.000016 0.000014 0.000016 0.000001 0.000027 0.000242 0.002743 0.020642 0.000000 0.023703 0 
UKC3 0.000000 0.000001 0.000001 0.000001 0.000000 0.000002 0.003233 0.000048 0.022592 0.000000 0.025878 0 
UKO4 0.000001 0.000004 0.000001 0.000003 0.000000 0.000005 0.000084 0.000107 0.021042 0.000000 0.021247 0 
NLO3 0.000001 0.000012 0.000001 0.000008 0.000001 0.000022 0.000416 0.000890 0.020350 0.000000 0.021701 0 
GO3 0.000002 0.000013 0.000002 0.000010 0.000001 0.000023 0.000372 0.001708 0.020178 0.000000 0.022309 0 
DWD1 0.000237 0.000467 0.001962 0.002312 0.000248 0.000378 0.000117 0.008755 0.000984 0.000000 0.01546 0 
UKO3 0.000001 0.000005 0.000001 0.000003 0.000000 0.000006 0.000197 0.000127 0.021148 0.000000 0.021488 0 
GO2 0.000059 0.000172 0.000008 0.000253 0.000013 0.000524 0.002121 0.013181 0.014801 0.000000 0.031132 0 
NLO2 0.000020 0.000084 0.000000 0.000065 0.000002 0.000198 0.001332 0.003989 0.018964 0.000000 0.024654 0 
DWD2 0.000334 0.000651 0.003289 0.003239 0.000345 0.000558 0.000216 0.013368 0.001074 0.000000 0.023074 0 
UKC2 0.000011 0.000090 0.000000 0.000019 0.000000 0.000206 0.003137 0.007305 0.015703 0.000000 0.026471 0 
UKO2 0.000038 0.000271 0.000000 0.000060 0.000000 0.000436 0.001268 0.010237 0.012667 0.000000 0.024977 0 
GO1 0.000458 0.000858 0.000415 0.002850 0.000232 0.001867 0.001296 0.044914 0.002917 0.000000 0.055807 0 
GC1 0.000571 0.001017 0.003236 0.005270 0.000587 0.001169 0.000514 0.039424 0.001860 0.000000 0.053648 0.0080472 
UKC1 0.000089 0.000793 0.000000 0.000132 0.000000 0.007237 0.000615 0.019530 0.001030 0.000000 0.029426 0.0058852 
GWD1 0.000413 0.000764 0.020616 0.004109 0.000474 0.000637 0.000188 0.013233 0.000616 0.000000 0.04105 0 
UKO1 0.000126 0.001022 0.000000 0.000201 0.000000 0.001455 0.000088 0.024638 0.000210 0.000000 0.02774 0 
NLO1a 0.000432 0.001254 0.000000 0.000852 0.000000 0.001217 0.000008 0.024627 0.000013 0.000000 0.028403 0 
NLO1b 0.000168 0.000701 0.000000 0.000481 0.000010 0.001295 0.001498 0.019549 0.004623 0.000000 0.028325 0 
UKC7 0.000002 0.000455 0.000000 0.000003 0.000000 0.000248 0.000001 0.027388 0.000001 0.000000 0.028098 0 
BO1 0.000184 0.001055 0.000000 0.000360 0.000000 0.000990 0.000007 0.025638 0.000002 0.000000 0.028236 0.0014118 
FO1 0.000006 0.001187 0.000000 0.000010 0.000000 0.000152 0.000001 0.026008 0.000001 0.000000 0.027365 0 
UKC8 0.000000 0.000219 0.000000 0.000000 0.000000 0.000422 0.000000 0.022732 0.000000 0.000000 0.023373 0 
BC1 0.001958 0.001340 0.000000 0.004015 0.000000 0.000665 0.000003 0.019743 0.000005 0.000000 0.027729 0.0055458 
NLC1 0.006215 0.001217 0.000000 0.008665 0.000000 0.000982 0.000004 0.019279 0.000023 0.000000 0.036385 0.007277 
NLC2a 0.001144 0.001249 0.000000 0.011720 0.000000 0.001231 0.000005 0.023109 0.000027 0.000000 0.038485 0.01270005 
NLC2b 0.000858 0.001238 0.000000 0.009147 0.000039 0.001896 0.000071 0.028759 0.000070 0.000000 0.042078 0.0105195 
NLC3 0.000683 0.001126 0.000003 0.004097 0.000238 0.002140 0.000445 0.030589 0.000534 0.000000 0.039855 0.0039855 
UKC9 0.000000 0.000054 0.000000 0.000000 0.000000 0.000071 0.000000 0.022430 0.000000 0.000000 0.022555 0 
FC2 0.000004 0.003012 0.000000 0.000008 0.000000 0.000030 0.000000 0.023247 0.000000 0.000000 0.026301 0 
FC1 0.000000 0.000105 0.000000 0.000000 0.000000 0.000000 0.000000 0.022364 0.000000 0.000000 0.022469 0 
GWD2 0.000416 0.000762 0.002443 0.004235 0.000541 0.000744 0.000288 0.030153 0.001288 0.000000 0.04087 0 
NLWD 0.000522 0.000667 0.000408 0.004005 0.005824 0.001097 0.000170 0.021453 0.000289 0.000000 0.034435 0
Step 3: Optimisation (2 x 2 example) 
Ems 
Rhine 
Reduction 
goal 
GC1 
0.10 * f1 
0.12 * f2 
≥ 
0.08 
NLC2 
0.00 * f1 
0.33 * f2 
≥ 
0.13 
1.00 * f1 
0.00 * f2 
≤ 
0.85 
0.00 * f1 
1.00 * f2 
≤ 
0.85 
16 
Goal: Find set of reduction factors f1 and f2 which will achieve the targets and be as cheap as possible 
Cost function 
10 * f1 
100 * f2 
Optimal reduction f1 = 0.33, f2 = 0.4
Contents 
1.Introduction 
2.Approach 
3.Results 
4.Conclusions 
17
Nitrogen targets (winterconc DIN mg/l) 
In case of overlapping targets the most strict of the two is considered 
18 
Offshore targets (OSPAR) 
Coastal targets (WFD)
Target concentrations 
0 
0.5 
1 
1.5 
2 
2.5 
3 
Current 
Target 
Winterconcentrations of DIN (mg/l) 
• only the most strict targets per area are shown; 
• the WFD-target for the Ems-Dollard estuary is 1.33 mg/l 
19
Composition Matrix 
20
Optimal reduction strategy for uniform costs 
Uniform costs (= equal reduction costs for all sectors and countries)  constant costs per water volume 
21 
Required river load reduction 
0 
0,1 
0,2 
0,3 
0,4 
0,5 
0,6 
0,7 
0,8 
0,9 
1 
Scheldt 
Ems 
Rhine 
IJssel 
Minimum foreign 
reduction 
Maximum Dutch 
reduction
Nutrient loads per sector and country 
22
Economic costs 
23 
Economic costs  Reduction costs per sector and increase with reduction percentage. 
Agriculture 
Sewage water treatment 
23
Optimal reduction strategy for economic costs – NL reductions only 
None of the targets can be achieved! 
24
Still some targets cannot be achieved! 
Optimal reduction strategy for economic costs – NL + foreign reductions 
25
Replacing infeasible thresholds by minimum attainable concentrations 
26 
Very costly! 
26
Replacing infeasible thresholds by alternative concentrations 
27 
Reasonable targets, and less costly!
Consequences for chlorophyll 
28
Contents 
1.Introduction 
2.Approach 
3.Results 
4.Conclusions 
29
Conclusions 
Optimisation method is a quick and powerful tool to: 
•optimise nutrient reductions 
•check consistency and attainability of targets 
•facilitate discussions between stakeholders 
30

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DSD-INT 2014 - Symposium 'Water Quality and Ecological modelling' - Optimisation of the Nutrient Reduction Strategy in the North Sea, Ronald van Dokkum, WVL and Tineke Troost, Deltares

  • 1. DSD-INT 2014: 3 November 2014 Optimisation of the nutrient reduction strategy for the North Sea IenM/RWS WVL : Ronald van Dokkum Deltares: Tineke Troost , Hans Los, Jan v. Beek, Christophe Thiange, Marc Weeber, Joost v.d Roovaart, Sibren Loos
  • 2. Contents 1.Introduction 2.Approach 3.Results 4.Conclusions 2
  • 3. 3 Eutrophication in the North Sea Nuisance blooms •scum layers, bad odour, foam on beaches Oxygen depletion •mortality of benthic fauna Phaeocystis
  • 4. 4 Assessment of ecological status 2008
  • 5. Nitrogen targets (winterconc DIN mg/l) In case of overlapping targets the most strict of the two is considered 5 Offshore targets (OSPAR) Coastal targets (WFD)
  • 6. 6 Project objective • Starting point: Several areas with present nutrient concentrations • Desired end point: target nutrient concentrations • Potential Measures: River load reductions Objective: To find the optimal set of river load reductions to meet all targets
  • 7. Contents 1.Introduction 2.Approach 3.Results 4.Conclusions 7
  • 8. 8 Modeling approach due to: -Transboundary transport of nutrients -Biogeochemical processes -Limiting factors may vary (e.g. nitrate, phosphate, light) Relative reduction (%) in chlorophyll concentration following 50% river loads reduction Non-linear response of the ecosystem to reduced river loads
  • 9. Integrated catchment and coastal model 9 Hydrology: SOBEK-RR Hydrodynamics: Delft3D-FLOW
  • 10. 10 biogeochemical processes: Delft3D-WAQ •N, P, Si, plankton, detritus , O2 •4 functional groups: diatoms, flagellates, dinoflagelates, Phaeocystis •3 phenotypes adapted to environmental conditions (light, N, P limitation) •Nutrient uptake, respiration, mortality + ‘grazing’ •Decay in water & sediments, nitrification, denitrification: parameterised •O2 production, consumption, reareation •Light extinction (CDOM, SPM, algae, detritus) (see e.g. Los & Wijsman, JMS, 2007) AlgaePNCNNH4-NNO3-NPPO4-PDetritus PNCsettlingsettlingrespirationphotosynthesisNutrientmineralisationmineralisationmetabolismmortalityDOproductionconsumptionreaerationDetritus in SedimentC N P SiSiSiN2 denitrificationmineralisation& nitrificationautolysisSiconsumptionnitrificationGrazersgrazinggrazingoxygen consumptionbiodepositionAIPadsorptionMicrophytobenthosC N P SiAIP in sedimentsettlingmortalityphotosynthesis
  • 11. How to determine required nutrient reductions Traditional approach (source oriented) •Change some forcings (river loads) •Rerun several times (scenarios) •Look at difference between scenarios and base case 11 ? Current situation Desired end point
  • 12. How to determine required nutrient reductions 12 Alternative approach (target oriented) 1. Labelling: follow fate and transport of all nutrients 2. Set up composition matrix 3. Apply optimization technique Current situation Desired end point
  • 13. Step 1. Labelling nutrients 13 • Labeling the nutrients when they enter the system and following them throughout time and space FR BE NL2 NL1 GM UK1 UK2 Atlantic Channel Atm Dep NH4 NH4r flux shadow flux NH4r / NH4 x flux
  • 14. 14 Step 2: From labelling to Composition Matrix Labelling Technique Area/River BE FR GM NL1 NL2 UK1 UK2 CH NA ATM PO4 UKC6 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000288 0.000012 0.022190 0.000000 0.02249 UKO5 0.000000 0.000002 0.000004 0.000002 0.000000 0.000003 0.000025 0.000244 0.022566 0.000000 0.022846 NO2 0.000003 0.000017 0.000025 0.000024 0.000001 0.000030 0.000236 0.002374 0.020817 0.000000 0.023527 DO1 0.000085 0.000215 0.000263 0.000612 0.000043 0.000435 0.001901 0.017441 0.014486 0.000000 0.035481 DC1 0.000252 0.000558 0.001977 0.002379 0.000222 0.000635 0.001018 0.030624 0.008692 0.000000 0.046357 UKC5 0.000000 0.000001 0.000001 0.000001 0.000000 0.000001 0.000657 0.000046 0.023142 0.000000 0.023849 UKC4 0.000000 0.000002 0.000001 0.000001 0.000000 0.000002 0.000378 0.000060 0.022880 0.000000 0.023324 DO2 0.000002 0.000016 0.000014 0.000016 0.000001 0.000027 0.000242 0.002743 0.020642 0.000000 0.023703 UKC3 0.000000 0.000001 0.000001 0.000001 0.000000 0.000002 0.003233 0.000048 0.022592 0.000000 0.025878 UKO4 0.000001 0.000004 0.000001 0.000003 0.000000 0.000005 0.000084 0.000107 0.021042 0.000000 0.021247 NLO3 0.000001 0.000012 0.000001 0.000008 0.000001 0.000022 0.000416 0.000890 0.020350 0.000000 0.021701 GO3 0.000002 0.000013 0.000002 0.000010 0.000001 0.000023 0.000372 0.001708 0.020178 0.000000 0.022309 DWD1 0.000237 0.000467 0.001962 0.002312 0.000248 0.000378 0.000117 0.008755 0.000984 0.000000 0.01546 UKO3 0.000001 0.000005 0.000001 0.000003 0.000000 0.000006 0.000197 0.000127 0.021148 0.000000 0.021488 GO2 0.000059 0.000172 0.000008 0.000253 0.000013 0.000524 0.002121 0.013181 0.014801 0.000000 0.031132 NLO2 0.000020 0.000084 0.000000 0.000065 0.000002 0.000198 0.001332 0.003989 0.018964 0.000000 0.024654 DWD2 0.000334 0.000651 0.003289 0.003239 0.000345 0.000558 0.000216 0.013368 0.001074 0.000000 0.023074 UKC2 0.000011 0.000090 0.000000 0.000019 0.000000 0.000206 0.003137 0.007305 0.015703 0.000000 0.026471 UKO2 0.000038 0.000271 0.000000 0.000060 0.000000 0.000436 0.001268 0.010237 0.012667 0.000000 0.024977 GO1 0.000458 0.000858 0.000415 0.002850 0.000232 0.001867 0.001296 0.044914 0.002917 0.000000 0.055807 GC1 0.000571 0.001017 0.003236 0.005270 0.000587 0.001169 0.000514 0.039424 0.001860 0.000000 0.053648 UKC1 0.000089 0.000793 0.000000 0.000132 0.000000 0.007237 0.000615 0.019530 0.001030 0.000000 0.029426 GWD1 0.000413 0.000764 0.020616 0.004109 0.000474 0.000637 0.000188 0.013233 0.000616 0.000000 0.04105 UKO1 0.000126 0.001022 0.000000 0.000201 0.000000 0.001455 0.000088 0.024638 0.000210 0.000000 0.02774 NLO1a 0.000432 0.001254 0.000000 0.000852 0.000000 0.001217 0.000008 0.024627 0.000013 0.000000 0.028403 NLO1b 0.000168 0.000701 0.000000 0.000481 0.000010 0.001295 0.001498 0.019549 0.004623 0.000000 0.028325 UKC7 0.000002 0.000455 0.000000 0.000003 0.000000 0.000248 0.000001 0.027388 0.000001 0.000000 0.028098 BO1 0.000184 0.001055 0.000000 0.000360 0.000000 0.000990 0.000007 0.025638 0.000002 0.000000 0.028236 FO1 0.000006 0.001187 0.000000 0.000010 0.000000 0.000152 0.000001 0.026008 0.000001 0.000000 0.027365 UKC8 0.000000 0.000219 0.000000 0.000000 0.000000 0.000422 0.000000 0.022732 0.000000 0.000000 0.023373 BC1 0.001958 0.001340 0.000000 0.004015 0.000000 0.000665 0.000003 0.019743 0.000005 0.000000 0.027729 NLC1 0.006215 0.001217 0.000000 0.008665 0.000000 0.000982 0.000004 0.019279 0.000023 0.000000 0.036385 NLC2a 0.001144 0.001249 0.000000 0.011720 0.000000 0.001231 0.000005 0.023109 0.000027 0.000000 0.038485 NLC2b 0.000858 0.001238 0.000000 0.009147 0.000039 0.001896 0.000071 0.028759 0.000070 0.000000 0.042078 NLC3 0.000683 0.001126 0.000003 0.004097 0.000238 0.002140 0.000445 0.030589 0.000534 0.000000 0.039855 UKC9 0.000000 0.000054 0.000000 0.000000 0.000000 0.000071 0.000000 0.022430 0.000000 0.000000 0.022555 FC2 0.000004 0.003012 0.000000 0.000008 0.000000 0.000030 0.000000 0.023247 0.000000 0.000000 0.026301 FC1 0.000000 0.000105 0.000000 0.000000 0.000000 0.000000 0.000000 0.022364 0.000000 0.000000 0.022469 GWD2 0.000416 0.000762 0.002443 0.004235 0.000541 0.000744 0.000288 0.030153 0.001288 0.000000 0.04087 NLWD 0.000522 0.000667 0.000408 0.004005 0.005824 0.001097 0.000170 0.021453 0.000289 0.000000 0.034435 …leads to… Composition Matrix
  • 15. Step 3: Optimisation 15 1. We replace present concentrations by desired reductions 2. Apply an optimisation technique (e.g. Linear Programming) Area/River BE FR GM NL1 NL2 UK1 UK2 CH NA ATM PO4 PO4Reduction UKC6 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000288 0.000012 0.022190 0.000000 0.02249 0 UKO5 0.000000 0.000002 0.000004 0.000002 0.000000 0.000003 0.000025 0.000244 0.022566 0.000000 0.022846 0 NO2 0.000003 0.000017 0.000025 0.000024 0.000001 0.000030 0.000236 0.002374 0.020817 0.000000 0.023527 0 DO1 0.000085 0.000215 0.000263 0.000612 0.000043 0.000435 0.001901 0.017441 0.014486 0.000000 0.035481 0 DC1 0.000252 0.000558 0.001977 0.002379 0.000222 0.000635 0.001018 0.030624 0.008692 0.000000 0.046357 0 UKC5 0.000000 0.000001 0.000001 0.000001 0.000000 0.000001 0.000657 0.000046 0.023142 0.000000 0.023849 0 UKC4 0.000000 0.000002 0.000001 0.000001 0.000000 0.000002 0.000378 0.000060 0.022880 0.000000 0.023324 0 DO2 0.000002 0.000016 0.000014 0.000016 0.000001 0.000027 0.000242 0.002743 0.020642 0.000000 0.023703 0 UKC3 0.000000 0.000001 0.000001 0.000001 0.000000 0.000002 0.003233 0.000048 0.022592 0.000000 0.025878 0 UKO4 0.000001 0.000004 0.000001 0.000003 0.000000 0.000005 0.000084 0.000107 0.021042 0.000000 0.021247 0 NLO3 0.000001 0.000012 0.000001 0.000008 0.000001 0.000022 0.000416 0.000890 0.020350 0.000000 0.021701 0 GO3 0.000002 0.000013 0.000002 0.000010 0.000001 0.000023 0.000372 0.001708 0.020178 0.000000 0.022309 0 DWD1 0.000237 0.000467 0.001962 0.002312 0.000248 0.000378 0.000117 0.008755 0.000984 0.000000 0.01546 0 UKO3 0.000001 0.000005 0.000001 0.000003 0.000000 0.000006 0.000197 0.000127 0.021148 0.000000 0.021488 0 GO2 0.000059 0.000172 0.000008 0.000253 0.000013 0.000524 0.002121 0.013181 0.014801 0.000000 0.031132 0 NLO2 0.000020 0.000084 0.000000 0.000065 0.000002 0.000198 0.001332 0.003989 0.018964 0.000000 0.024654 0 DWD2 0.000334 0.000651 0.003289 0.003239 0.000345 0.000558 0.000216 0.013368 0.001074 0.000000 0.023074 0 UKC2 0.000011 0.000090 0.000000 0.000019 0.000000 0.000206 0.003137 0.007305 0.015703 0.000000 0.026471 0 UKO2 0.000038 0.000271 0.000000 0.000060 0.000000 0.000436 0.001268 0.010237 0.012667 0.000000 0.024977 0 GO1 0.000458 0.000858 0.000415 0.002850 0.000232 0.001867 0.001296 0.044914 0.002917 0.000000 0.055807 0 GC1 0.000571 0.001017 0.003236 0.005270 0.000587 0.001169 0.000514 0.039424 0.001860 0.000000 0.053648 0.0080472 UKC1 0.000089 0.000793 0.000000 0.000132 0.000000 0.007237 0.000615 0.019530 0.001030 0.000000 0.029426 0.0058852 GWD1 0.000413 0.000764 0.020616 0.004109 0.000474 0.000637 0.000188 0.013233 0.000616 0.000000 0.04105 0 UKO1 0.000126 0.001022 0.000000 0.000201 0.000000 0.001455 0.000088 0.024638 0.000210 0.000000 0.02774 0 NLO1a 0.000432 0.001254 0.000000 0.000852 0.000000 0.001217 0.000008 0.024627 0.000013 0.000000 0.028403 0 NLO1b 0.000168 0.000701 0.000000 0.000481 0.000010 0.001295 0.001498 0.019549 0.004623 0.000000 0.028325 0 UKC7 0.000002 0.000455 0.000000 0.000003 0.000000 0.000248 0.000001 0.027388 0.000001 0.000000 0.028098 0 BO1 0.000184 0.001055 0.000000 0.000360 0.000000 0.000990 0.000007 0.025638 0.000002 0.000000 0.028236 0.0014118 FO1 0.000006 0.001187 0.000000 0.000010 0.000000 0.000152 0.000001 0.026008 0.000001 0.000000 0.027365 0 UKC8 0.000000 0.000219 0.000000 0.000000 0.000000 0.000422 0.000000 0.022732 0.000000 0.000000 0.023373 0 BC1 0.001958 0.001340 0.000000 0.004015 0.000000 0.000665 0.000003 0.019743 0.000005 0.000000 0.027729 0.0055458 NLC1 0.006215 0.001217 0.000000 0.008665 0.000000 0.000982 0.000004 0.019279 0.000023 0.000000 0.036385 0.007277 NLC2a 0.001144 0.001249 0.000000 0.011720 0.000000 0.001231 0.000005 0.023109 0.000027 0.000000 0.038485 0.01270005 NLC2b 0.000858 0.001238 0.000000 0.009147 0.000039 0.001896 0.000071 0.028759 0.000070 0.000000 0.042078 0.0105195 NLC3 0.000683 0.001126 0.000003 0.004097 0.000238 0.002140 0.000445 0.030589 0.000534 0.000000 0.039855 0.0039855 UKC9 0.000000 0.000054 0.000000 0.000000 0.000000 0.000071 0.000000 0.022430 0.000000 0.000000 0.022555 0 FC2 0.000004 0.003012 0.000000 0.000008 0.000000 0.000030 0.000000 0.023247 0.000000 0.000000 0.026301 0 FC1 0.000000 0.000105 0.000000 0.000000 0.000000 0.000000 0.000000 0.022364 0.000000 0.000000 0.022469 0 GWD2 0.000416 0.000762 0.002443 0.004235 0.000541 0.000744 0.000288 0.030153 0.001288 0.000000 0.04087 0 NLWD 0.000522 0.000667 0.000408 0.004005 0.005824 0.001097 0.000170 0.021453 0.000289 0.000000 0.034435 0
  • 16. Step 3: Optimisation (2 x 2 example) Ems Rhine Reduction goal GC1 0.10 * f1 0.12 * f2 ≥ 0.08 NLC2 0.00 * f1 0.33 * f2 ≥ 0.13 1.00 * f1 0.00 * f2 ≤ 0.85 0.00 * f1 1.00 * f2 ≤ 0.85 16 Goal: Find set of reduction factors f1 and f2 which will achieve the targets and be as cheap as possible Cost function 10 * f1 100 * f2 Optimal reduction f1 = 0.33, f2 = 0.4
  • 17. Contents 1.Introduction 2.Approach 3.Results 4.Conclusions 17
  • 18. Nitrogen targets (winterconc DIN mg/l) In case of overlapping targets the most strict of the two is considered 18 Offshore targets (OSPAR) Coastal targets (WFD)
  • 19. Target concentrations 0 0.5 1 1.5 2 2.5 3 Current Target Winterconcentrations of DIN (mg/l) • only the most strict targets per area are shown; • the WFD-target for the Ems-Dollard estuary is 1.33 mg/l 19
  • 21. Optimal reduction strategy for uniform costs Uniform costs (= equal reduction costs for all sectors and countries)  constant costs per water volume 21 Required river load reduction 0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1 Scheldt Ems Rhine IJssel Minimum foreign reduction Maximum Dutch reduction
  • 22. Nutrient loads per sector and country 22
  • 23. Economic costs 23 Economic costs  Reduction costs per sector and increase with reduction percentage. Agriculture Sewage water treatment 23
  • 24. Optimal reduction strategy for economic costs – NL reductions only None of the targets can be achieved! 24
  • 25. Still some targets cannot be achieved! Optimal reduction strategy for economic costs – NL + foreign reductions 25
  • 26. Replacing infeasible thresholds by minimum attainable concentrations 26 Very costly! 26
  • 27. Replacing infeasible thresholds by alternative concentrations 27 Reasonable targets, and less costly!
  • 29. Contents 1.Introduction 2.Approach 3.Results 4.Conclusions 29
  • 30. Conclusions Optimisation method is a quick and powerful tool to: •optimise nutrient reductions •check consistency and attainability of targets •facilitate discussions between stakeholders 30