9 th lba-eco science team meeting assessing the influence of observational data error on sib 2 model...

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9 th LBA-ECO Science Team Meeting Assessing the Influence of Observational Data Error on SiB 2 Model Parameter Uncertainty Luis A. Bastidas 1 , E. Rosero 1 , S. Pande 1 , W.J. Shuttleworth 2 1 Civil and Environmental Engineering and Utah Water Research Laboratory, Logan, Utah 2 Hydrology and Water Resources, SAHRA – NSF Science and Technology Center University of Arizona, Tucson, Arizona

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Page 1: 9 th LBA-ECO Science Team Meeting Assessing the Influence of Observational Data Error on SiB 2 Model Parameter Uncertainty Luis A. Bastidas 1, E. Rosero

9th LBA-ECO Science Team Meeting

Assessing the Influence of Observational Data Error on SiB 2

Model Parameter Uncertainty

Assessing the Influence of Observational Data Error on SiB 2

Model Parameter Uncertainty

Luis A. Bastidas1,E. Rosero1, S. Pande1, W.J. Shuttleworth2

1Civil and Environmental Engineering andUtah Water Research Laboratory, Logan, Utah

2Hydrology and Water Resources,SAHRA – NSF Science and Technology Center

University of Arizona, Tucson, Arizona

Page 2: 9 th LBA-ECO Science Team Meeting Assessing the Influence of Observational Data Error on SiB 2 Model Parameter Uncertainty Luis A. Bastidas 1, E. Rosero

Luis.Bastidas @ usu.edu 2/16

Modeling

Modified from Refsgaard, 2001

ModelModel

ConstructionConstruction

RealityReality ConceptualConceptualModelModel

ModelModel Model CodeModel Code

AnalysisAnalysis

Sim

ula

tio

nS

imu

lati

on

Pro

gram

min

gP

rog

ramm

ing

Model Calibration

Mo

del

Val

idat

ion

Model Qualification

Co

de V

erification

Page 3: 9 th LBA-ECO Science Team Meeting Assessing the Influence of Observational Data Error on SiB 2 Model Parameter Uncertainty Luis A. Bastidas 1, E. Rosero

Luis.Bastidas @ usu.edu 3/16

Components of a Model

I

Inputs

XState Variables

Model Structure

Xt = F ( Xt-1, , It-1 )

 Ot = G ( Xt, , It )

Model Structure

O

Outputs

Parameters

Xo

Initial States

Page 4: 9 th LBA-ECO Science Team Meeting Assessing the Influence of Observational Data Error on SiB 2 Model Parameter Uncertainty Luis A. Bastidas 1, E. Rosero

Luis.Bastidas @ usu.edu 4/16

Pareto Optimality

Parameter 1

Par

amet

er

2

Criterion f1

Cri

teri

on

f 2

α

β

γ

γ

δ

δ

α

β

Parameter Space Criterion Space

f1

f2

Page 5: 9 th LBA-ECO Science Team Meeting Assessing the Influence of Observational Data Error on SiB 2 Model Parameter Uncertainty Luis A. Bastidas 1, E. Rosero

Luis.Bastidas @ usu.edu 5/16

Sensitivity Analysis. SiB 2 @ Santarem Km 83

Pre-loggingPost-logging

MOGSA AlgorithmBastidas et al., JGR,1999

Multi Objective GeneralizedSensitivity Analysis

The further away fromthe center the more sensitive the parameter

Page 6: 9 th LBA-ECO Science Team Meeting Assessing the Influence of Observational Data Error on SiB 2 Model Parameter Uncertainty Luis A. Bastidas 1, E. Rosero

Luis.Bastidas @ usu.edu 6/16

Pareto Set of Parameters

Page 7: 9 th LBA-ECO Science Team Meeting Assessing the Influence of Observational Data Error on SiB 2 Model Parameter Uncertainty Luis A. Bastidas 1, E. Rosero

Luis.Bastidas @ usu.edu 7/16

Observed vs Computed. Pre-logging

Page 8: 9 th LBA-ECO Science Team Meeting Assessing the Influence of Observational Data Error on SiB 2 Model Parameter Uncertainty Luis A. Bastidas 1, E. Rosero

Luis.Bastidas @ usu.edu 8/16

Dry Typical Periods

Page 9: 9 th LBA-ECO Science Team Meeting Assessing the Influence of Observational Data Error on SiB 2 Model Parameter Uncertainty Luis A. Bastidas 1, E. Rosero

Luis.Bastidas @ usu.edu 9/16

Wet Typical Periods

Page 10: 9 th LBA-ECO Science Team Meeting Assessing the Influence of Observational Data Error on SiB 2 Model Parameter Uncertainty Luis A. Bastidas 1, E. Rosero

Luis.Bastidas @ usu.edu 10/16

Daily Average

E H CO2

Page 11: 9 th LBA-ECO Science Team Meeting Assessing the Influence of Observational Data Error on SiB 2 Model Parameter Uncertainty Luis A. Bastidas 1, E. Rosero

Luis.Bastidas @ usu.edu 11/16

Performance Measures

E H CO2 E H CO2

R

RMSE

NSE

BIAS

Page 12: 9 th LBA-ECO Science Team Meeting Assessing the Influence of Observational Data Error on SiB 2 Model Parameter Uncertainty Luis A. Bastidas 1, E. Rosero

Luis.Bastidas @ usu.edu 12/16

Objectives for Radiation and Precipitation ErrorsHeteroscedastic Error Added

Page 13: 9 th LBA-ECO Science Team Meeting Assessing the Influence of Observational Data Error on SiB 2 Model Parameter Uncertainty Luis A. Bastidas 1, E. Rosero

Luis.Bastidas @ usu.edu 13/16

Parameter Distributions

Page 14: 9 th LBA-ECO Science Team Meeting Assessing the Influence of Observational Data Error on SiB 2 Model Parameter Uncertainty Luis A. Bastidas 1, E. Rosero

Luis.Bastidas @ usu.edu 14/16

Parameter Distributions

0 1

Page 15: 9 th LBA-ECO Science Team Meeting Assessing the Influence of Observational Data Error on SiB 2 Model Parameter Uncertainty Luis A. Bastidas 1, E. Rosero

Luis.Bastidas @ usu.edu 15/16

Daily Average

E H CO2

0 24 0 24 0 24

Page 16: 9 th LBA-ECO Science Team Meeting Assessing the Influence of Observational Data Error on SiB 2 Model Parameter Uncertainty Luis A. Bastidas 1, E. Rosero

Luis.Bastidas @ usu.edu 16/16

Beware ….

“A fool with a tool is still a fool”