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M.C. Casper et al. - Leonardo 2010, Luxemburg Comparing Hydrological Behaviour of Catchments with Rainfall-Runoff Models using Signature Indices 1 M. C. Casper 1 G. Grigoryan, 1 O. Gronz, 1 M. Herbst, ²G. Heinemann, 1 R. Ley, 1 A. Rock 1 Dept. of Physical Geography ²Dept. Of Environmental Meteorology University of Trier, Germany

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M.C. Casper et al. - Leonardo 2010, Luxemburg

Comparing Hydrological Behaviour of Catchments with Rainfall-Runoff Models using Signature Indices

1M. C. Casper1G. Grigoryan, 1O. Gronz, 1M. Herbst,

²G. Heinemann, 1R. Ley, 1A. Rock

1Dept. of Physical Geography²Dept. Of Environmental Meteorology

University of Trier, Germany

M.C. Casper et al. - Leonardo 2010, Luxemburg

Context: Project KlimLandRP

Interdisciplinary research project financed by 2 federal ministries

„Climate and landscape change in Rhineland-Palatinate“

www.klimlandrp.de

Ministerium für Umwelt, Forsten und Verbraucherschutz

Ministerium für Wirtschaft, Verkehr, Landwirtschaft und Weinbau

Modul BodenLandesamt für Geologie und Bergbau

Geologiedirektor Dr. Spies (in Kooperation mit FAWF)

Modul LandwirtschaftInstitut für Agrarökologie/AgroScience

Privatdozent Dr. Kubiak

Modul WaldUniversität Freiburg

Institut für LandespflegeProf. Dr. Konold

Modul BiodiversitätUniversität Mainz

Institut für ZoologieProf. Dr. Seitz

Modul WasserUniversität Trier

Physische GeographieProf. Dr. Casper

FAWF Rheinland-Pfalz

ProjektleitungDr. Matthes

LUWG Klimatologie

Dipl. MeteorologinKraus

PIK Beratung

Prof. Dr. Stock

FAWF: Forschungsanstalt für Waldökologie und Forstwirtschaft PIK: Potsdam Institut für KlimafolgenforschungLUWG: Landesamt für Umwelt, Wasserwirtschaft und Gewerbeaufsicht

Ministerium für Umwelt, Forsten und Verbraucherschutz

Ministerium für Wirtschaft, Verkehr, Landwirtschaft und Weinbau

Modul BodenLandesamt für Geologie und Bergbau

Geologiedirektor Dr. Spies (in Kooperation mit FAWF)

Modul LandwirtschaftInstitut für Agrarökologie/AgroScience

Privatdozent Dr. Kubiak

Modul WaldUniversität Freiburg

Institut für LandespflegeProf. Dr. Konold

Modul BiodiversitätUniversität Mainz

Institut für ZoologieProf. Dr. Seitz

Modul WasserUniversität Trier

Physische GeographieProf. Dr. Casper

FAWF Rheinland-Pfalz

ProjektleitungDr. Matthes

LUWG Klimatologie

Dipl. MeteorologinKraus

PIK Beratung

Prof. Dr. Stock

FAWF: Forschungsanstalt für Waldökologie und Forstwirtschaft PIK: Potsdam Institut für KlimafolgenforschungLUWG: Landesamt für Umwelt, Wasserwirtschaft und Gewerbeaufsicht

Ministry of Environment, Forestry and Consumer Protection

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Module ForestUniversity of FreiburgInstitute of Landscape

ManagementProf. Dr. Konold

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ghsfghhjkfhjk

Module ForestUniversity of FreiburgInstitute of Landscape

ManagementProf. Dr. Konold

ghsfghhjkfhjk

FAWFRhineland-PalatinateProject Management

Dr. Matthes

Module WaterUniversity of Trier

Physical GeographyProf. Dr. Casper

Module SoilState Office of geology and miningChief Geology Director Dr. Spies

(in cooperation with FAWF)

LUWGClimatologyDipl. Meteo.

Kraus

PIKadvice

Prof. Dr. Stock

Module AgricultureInstitute of Agroecology

Associate Prof. Dr. Kubiak

Ministry of Economics, Transport, Agriculture and Viniculture

FAWF: Research Institute for Forest Ecology and ForestryPIK: Potsdam Institute for Climate Impact ResearchLUWG: State Office of Environment, Water Economy and Trade Control

Ministerium für Umwelt, Forsten und Verbraucherschutz

Ministerium für Wirtschaft, Verkehr, Landwirtschaft und Weinbau

Modul BodenLandesamt für Geologie und Bergbau

Geologiedirektor Dr. Spies (in Kooperation mit FAWF)

Modul LandwirtschaftInstitut für Agrarökologie/AgroScience

Privatdozent Dr. Kubiak

Modul WaldUniversität Freiburg

Institut für LandespflegeProf. Dr. Konold

Modul BiodiversitätUniversität Mainz

Institut für ZoologieProf. Dr. Seitz

Modul WasserUniversität Trier

Physische GeographieProf. Dr. Casper

FAWF Rheinland-Pfalz

ProjektleitungDr. Matthes

LUWG Klimatologie

Dipl. MeteorologinKraus

PIK Beratung

Prof. Dr. Stock

FAWF: Forschungsanstalt für Waldökologie und Forstwirtschaft PIK: Potsdam Institut für KlimafolgenforschungLUWG: Landesamt für Umwelt, Wasserwirtschaft und Gewerbeaufsicht

Ministerium für Umwelt, Forsten und Verbraucherschutz

Ministerium für Wirtschaft, Verkehr, Landwirtschaft und Weinbau

Modul BodenLandesamt für Geologie und Bergbau

Geologiedirektor Dr. Spies (in Kooperation mit FAWF)

Modul LandwirtschaftInstitut für Agrarökologie/AgroScience

Privatdozent Dr. Kubiak

Modul WaldUniversität Freiburg

Institut für LandespflegeProf. Dr. Konold

Modul BiodiversitätUniversität Mainz

Institut für ZoologieProf. Dr. Seitz

Modul WasserUniversität Trier

Physische GeographieProf. Dr. Casper

FAWF Rheinland-Pfalz

ProjektleitungDr. Matthes

LUWG Klimatologie

Dipl. MeteorologinKraus

PIK Beratung

Prof. Dr. Stock

FAWF: Forschungsanstalt für Waldökologie und Forstwirtschaft PIK: Potsdam Institut für KlimafolgenforschungLUWG: Landesamt für Umwelt, Wasserwirtschaft und Gewerbeaufsicht

Ministry of Environment, Forestry and Consumer Protection

ghsfghhjkfhjk

Module ForestUniversity of FreiburgInstitute of Landscape

ManagementProf. Dr. Konold

dfagsdfgdyg<fgadfgadfgdafg

ghsfghhjkfhjk

Module ForestUniversity of FreiburgInstitute of Landscape

ManagementProf. Dr. Konold

ghsfghhjkfhjk

FAWFRhineland-PalatinateProject Management

Dr. Matthes

Module WaterUniversity of Trier

Physical GeographyProf. Dr. Casper

Module SoilState Office of geology and miningChief Geology Director Dr. Spies

(in cooperation with FAWF)

LUWGClimatologyDipl. Meteo.

Kraus

PIKadvice

Prof. Dr. Stock

Module AgricultureInstitute of Agroecology

Associate Prof. Dr. Kubiak

Ministry of Economics, Transport, Agriculture and Viniculture

FAWF: Research Institute for Forest Ecology and ForestryPIK: Potsdam Institute for Climate Impact ResearchLUWG: State Office of Environment, Water Economy and Trade Control

2

M.C. Casper et al. - Leonardo 2010, Luxemburg

Project KlimLandRP

Material

•Measured discharge at 53 gaging stations in Rhineland-Palatinate/W-Germany

•Measured hourly climatic data (1997-2003)

•Simulated climatic data: COSMO-CLM 5km/1.3km resolutionthis includes the direct simulation of convective cells!

Reference run: „1991-2000“Projection (A1B): 2015-2024

Goal

•Detecting climatic change signal

•Make (simulation) results hydrologically interpretable

3

M.C. Casper et al. - Leonardo 2010, Luxemburg

4

Calibrated Rainfall Runoff Model LARSIM

0 0.2 0.4 0.6 0.8 10

0.2

0.4

0.6

0.8

1

W0 / Wmax

frac

tion

of s

atur

ated

are

a

BSF = 0.3BSF = 1BSF = 1.5

W0 / Wmax

Wmax

ETPPT

f(BSF,W0)

W0

A2

Dmax

Dmin

EQD

EQD2

Q

β

Wz

Qi

Qof

Qof2

Qb

EQI

EQB

M.C. Casper et al. - Leonardo 2010, Luxemburg

The Nahe catchment (W-Germany)

5

Kronweiler

Kellenbach

Kaiserslautern

M.C. Casper et al. - Leonardo 2010, Luxemburg

6

How to compare „hydrological behavior“

problems• short time series (no statistics possible)• comparison of real with simulated climate input (no direct correlation)• results have to be hydrologically interpretable

solutionFor intercomparison of catchments/simulation models we use:

Signature Indices: Introduced by: Gupta et al. 2008, HP, Yilmaz et al. 2008, WRR, extended by Herbst et al. 2009, NHESSEmpirical cumulative distribution functions (ECDF) of event runoff

coefficients (Merz et al. 2006, JoH)

M.C. Casper et al. - Leonardo 2010, Luxemburg

7

Model evaluationWhat value is the determination of goodness of fit measures?• Information becomes apperent on the basis of the context of data

• e.g R²: „how much of the observed variance is explained by the model…“

How is your model

performing?Perfectly! R²=0.815

• hydrologically interesting: difference in water balance, difference in runoff reactivity etc.

M.C. Casper et al. - Leonardo 2010, Luxemburg

Extracting diagnostic „Signature Indices“

%BiasRunoff_All

= long term behaviour

Bias in overall runoff

Flow Duration Curve (FDC)

Gupta et al. (2008) in: Hyd. Proc. Yilmaz et al. (2008) in: Water Resour. Res.

M.C. Casper et al. - Leonardo 2010, Luxemburg

Δp

ΔQ

error in FDC mid-segment slope

= „flashiness“ or reactivity

%Bias_slopeflashinessHigh

flowsIntermediate

flowsLow flows

Gupta et al. (2008) in: Hyd. Proc. Yilmaz et al. (2008) in: Water Resour. Res.

Extracting diagnostic „Signature Indices“

Flow Duration Curve (FDC)

M.C. Casper et al. - Leonardo 2010, Luxemburg

High flows

Intermediate flows

Low flows

Gupta et al. (2008) in: Hyd. Proc. Yilmaz et al. (2008) in: Water Resour. Res.

error in FDC high-segment volume

= reproduction of peak discharges

%BiasPeaks

Extracting diagnostic „Signature Indices“

Flow Duration Curve (FDC)

M.C. Casper et al. - Leonardo 2010, Luxemburg

High flows

Intermediate flows

Low flows

Gupta et al. (2008) in: Hyd. Proc. Yilmaz et al. (2008) in: Water Resour. Res.

error in FDC low-segment volume

= reproduction of „baseflow“

%BiasBaseflow

Extracting diagnostic „Signature Indices“

Flow Duration Curve (FDC)

M.C. Casper et al. - Leonardo 2010, Luxemburg

Gupta et al. (2008) in: Hyd. Proc. Yilmaz et al. (2008) in: Water Resour. Res.

50%

bias in median of log. flows

= differences in mid range flow levels

%BiasMedian

Extracting diagnostic „Signature Indices“

Flow Duration Curve (FDC)

M.C. Casper et al. - Leonardo 2010, Luxemburg

method by Merz et al., TU Vienna

ECDF of event runoff coefficients1. automatic detection of events

2. Empirical cumulative distribution function (ECDF)

M.C. Casper et al. - Leonardo 2010, Luxemburg

ECDF of event runoff coefficients

53 catchments in Rhineland-Palatinate

Wide rangeSensitive measureHydrologically meaningfulPossibility to sample

indices from curveExample: 2 catchments

Kronweiler and Kellenbach

Mea

n an

nual

pre

cipi

tatio

n [m

m]

Mean event runoff coefficient

M.C. Casper et al. - Leonardo 2010, Luxemburg

Short time series

Shape of both curves is not very sensitive to extremes and length of time series

Characteristic shape even for shorter data sets (with approx. 10 years)

M.C. Casper et al. - Leonardo 2010, Luxemburg

0 0.2 0.4 0.6 0.8 110-2

10-1

100

101

102

Zeile 5

SimulationMeasured

Model performance: Kronweiler vs. Kellenbach

0 0.2 0.4 0.6 0.8 110-1

100

101

102

103

Zeile 13

SimulationMeasured

Comparing model performance

Kronweiler(1997-2003)

Kellenbach(1997-2003)

based on“hydrological behavior”

“very good model”

M.C. Casper et al. - Leonardo 2010, Luxemburg

The Nahe catchment (W-Germany)

17

Kronweiler

Kellenbach

Kaiserslautern

M.C. Casper et al. - Leonardo 2010, Luxemburg

0 0.2 0.4 0.6 0.8 110-2

10-1

100

101

102

Zeile 5

SimulationMeasured

0 0.2 0.4 0.6 0.8 110-2

10-1

100

101

102

Zeile 9

SimulationMeasured

COSMO-CLMReference run“1991-2000”

Measured climate1997-2003

1. “model validation”

Kronweiler – detecting climatic change

“visible differences”“similar direction oferrors”

M.C. Casper et al. - Leonardo 2010, Luxemburg

0 0.2 0.4 0.6 0.8 110-2

10-1

100

101

102

Zeile 9

SimulationMeasured

0 0.2 0.4 0.6 0.8 110-2

10-1

100

101

102

Zeile 7

SimulationMeasured

Kronweiler – detecting climatic change

2. “Impact of climate change”

“visible differences”“less high flows”

COSMO-CLMProjection A1B“2015-2024”

COSMO-CLMReference run“1991-2000”

M.C. Casper et al. - Leonardo 2010, Luxemburg

Kronweiler – additional information

COSMO-CLMReference run“1991-2000”

Real climate1997-2003

From event runoff coefficients

COSMO-CLM2015-2024

M.C. Casper et al. - Leonardo 2010, Luxemburg

Kronweiler – Seasonality: Summer

COSMO-CLMReference run“1991-2000”

Real climate1997-2003

COSMO-CLM2015-2024

M.C. Casper et al. - Leonardo 2010, Luxemburg

Kronweiler – Seasonality: Winter

Catchment conditionschange dramatically

Lower runoff coefficientsDifferent annual rainfall

patterns

But:Differences very large

BIAS correction forCOSMO_CLM needed?(yearly precip. too low!)

??

COSMO-CLMReference run“1991-2000”

Real climate1997-2003

COSMO-CLM“2015-2024

M.C. Casper et al. - Leonardo 2010, Luxemburg

Conclusions & Outlook

Signature Indices combined with ECDF of event rainfall runoffgive a good description of hydrological behavior of models

Future work

Simulation for a larger number of catchments/modelswith COSMO-CLM-Data

Derivation of additional „signature indices“ from ECDF of event runoff coefficients

BIAS-correction of hourly precipitation for COSMO-CLM simulations!

M.C. Casper et al. - Leonardo 2010, Luxemburg

KlimLandRPKlima- und Landschaftswandel

in Rheinland-Pfalz

Thank you very much for your attention!

M.C. Casper et al. - Leonardo 2010, Luxemburg

25

Indices of uppermost 2% of FDC

0 0.5 1 1.5 2

10

15

20

25

Exceedance probability [%]

Q [m

³/s]

0.42

„volume lower“„volume upper“

„slope upper“

„slope lower“

0 20 40 60 80 10010-1

100

101

102

Flow exceed. probab. %

Q [m

³/s]

max. HQX