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Dept. of Meteorology
Modeling Streamflow Using Gauge-Only Versus
Multi-Sensor RainfallJohn L. Sullivan, Jr.
M.S. Candidate
18 March 2008
Dept. of Meteorology
Introduction◦ Motivation◦ Precipitation Measurement Methods◦ Previous Research
Data & Methodology◦ Hydrologic Model◦ Study Area◦ Rainfall Input
Results◦ Multi-Year Composite, Annual, Seasonal◦ Basin Size & Rainfall Patterns
Conclusions
Outline
Dept. of Meteorology
Florida rainfall is highly variable Need for most accurate rainfall
measurement as input to hydrologic models Rainfall drives model – better
measurements lead to better streamflow approximation?
Why is this important? Better streamflow forecasts save lives, save property, save money, cleaner waters
Motivation
sun showers
associated with the
sea-breeze
Dept. of Meteorology
Typically 8 in. diameter Placement is commonly
based on human needs
Rain Gauges
NOAA/NWS Birmingham
Spacing varies depending on region Not Perfect Measurement:
Wind turbulence, evaporative losses, mechanical malfunctions, poor gauge placement, clogging, and other interferences
Spatial variability of rainfall problematic
Dept. of Meteorology
from Quina 2003
1996-2001 South Florida
Dept. of Meteorology
High spatial and temporal resolution Derived based on Z-R relationships
Not a Perfect Technique Z-R relationship issues
Varies from storm to storm Varies within the same storm
Calibration issues Low-level beam blockage Radar beams overshooting precipitation tops Outages due to storm events that they measure Other various technical issues
Radar: WSR-88D
NOAA/NWS Ruskin
Dept. of Meteorology
Scheme developed by the National Weather Service (NWS) Hydrologic Research Lab (HRL)
Optimum combination of gauge and radar precipitation amounts◦ relative accuracy of gauge measurements ◦ high spatial resolution of radar data
Code ported from NWS to FSU computers◦ More gauges◦ Adjusted parameters
Mapped onto Hydrologic Rainfall Analysis Project (HRAP) grid ~ 4 × 4 km
FSU/NWS Multi-Sensor Precipitation Estimator Scheme
FSU MPE Data SourcesRain Gauges Radar
NCDC (DSI-3240) 5 Florida Water
Management Districts (WMDs)◦ Northwest, St. Johns River,
South, Southwest, Suwannee River
Quality controlled by FSU using objective scheme (Marzen and Fuelberg 2005)
ASCII text files
Digital Precipitation Arrays (DPAs) provided by NWS Southeast River Forecast Center (SERFC)
Quality controlled by SERFC
XMRG binary files
Dept. of Meteorology
VanCleve and Fuelberg (2007) compared mean areal precipitation between MPE and rain gauges over several Florida basins
Determined significant findings regarding basin size, basin gauge density, and seasonal considerations…
However, there is still a need to understand the impact of the FSU multi-sensor rainfall on a streamflow model, which is where the data mostly are utilized
Background
Dept. of Meteorology
Recent studies have utilized radar-derived precipitation data in models
Some studies used radar-derived data, others used multi-sensor schemes
Past studies have made it difficult to draw conclusions that would promote one precipitation data source over another (Kalin and Hantush 2006)
Quantification of multi-sensor impacts in hydrologic models limited
Neary et al. (2004) called for more studies to evaluate the newer NWS MPE products in a distributed hydrologic model
Related Literature
Developed by Soil and Water Engineering Technology, Inc. (SWET)
Fully-distributed, physically-based hydrologic model with water quality parameters
Used by FDEP, FDACS, WMDs; among others
Watershed Assessment Model (WAM)
Known to be particularly adept at handling Florida topography (or lack of elevation changes) and soil features (i.e., karst features)
Image courtesy UF Center for Invasive Plants
Image courtesy FDEP
Dept. of Meteorology
Surface flow is identified at 100 × 100 m grid cells WAM routes individual flow values at the cells to
determine values throughout the watershed Attenuation is based on flow rate, characteristics of
the flow path, and the distance of travel (Jacobson et al. 1998)
Imbedded models drive water movement through the land◦ GLEAMS (Knisel 1993)◦ EAAMod (Bottcher et al. 1998; SWET 1999)◦ Two sub-models written specifically for WAM (SWET 2002)
ESRI ArcView 3.2a interface GIS-based coverages:
◦ Land use, soil, topography, hydrography, basin and sub-basin boundaries, point source, service area, and climate data
WAM Details
Dept. of Meteorology
VanCleve and Fuelberg (2007) examined 5 basins, including Suwannee River
Suwannee most dynamic with gauges
Study Area
More elevation changes in North Florida
Rainfall varies during distinct seasons 7
13
10
1713
23
29
49
WAM set up for Florida portion of Suwannee only
First magnitude springs Focus on Upper Santa
Fe River region
Suwannee River Overview with WAM
Gauge spacing around AOI ~ 25 km
230 km radius
Closest available radar at lowest elevation angle used at each hour
2 radars fully cover AOI
2 other radars partially influence AOI
Dept. of Meteorology
Understand the sensitivity of a hydrologic model (WAM) to gauge-only and multi-sensor input data◦ Compare differences in streamflow statistics
Understand the advantages and disadvantages of using higher-resolution FSU MPE data
Determine the ability of a fully-distributed hydrologic model (WAM) to incorporate the higher-resolution rainfall data
Goals
Dept. of Meteorology
Two model runs with different rainfall input◦ Gauge-only = Thiessen polygons◦ Multi-sensor = HRAP grid cells
Input data span 1996-2005 Only 2000-2005 analyzed
◦ 3 year model spin-up◦ 1 year streamflow adjustment period
Previous setup - extended climate/boundary data through 2005
No need or method to calibrate for change in rainfall inputs since most of WAM’s parameters have physical meanings (SWET)
Model Runs
Dept. of Meteorology
1) QC hourly gauge data (1996-2005)◦ More in later years with SUW WMD sites◦ Missing data at some gauges for extended periods◦ WAM rainfall coverage static
WAM cannot have missing data or there is no water to model!
2) MPE hourly product (1996-2005)◦ Always same number of cells◦ WAM not originally designed for large number of
unique rainfall values WAM can only accept daily data due to soil
sub-models
Inputting the Two Different Datasets into WAM
0
1
2
3
4
5
6
1996 1997 1998 1999 20002001 2002 2003 2004 2005
Year
Rain
Gau
ges
Dept. of Meteorology
FSU QC gauge dataset
Number of gauges increases with time◦ Hourly values in-filled
with nearest available neighbor (SWET)
◦ Dynamic scheme
Gauge Input – Thiessen polygons
Summed to daily converted to WAM input files ESRI ArcMap 9.2 used to create 100 × 100 m
raster coverageo Linked to rainfall files using gauge identifier
Dept. of Meteorology
FSU MPE dataset Consistent with Thiessen methods
◦ Missing hourly values in-filled with nearest available neighbor
◦ Less than 1% data missing◦ Benefit of higher-resolution MPE did not need in-fill
since results were very similar Summed to daily values converted to WAM input
files ESRI ArcMap 9.2 used to create 100 × 100 m
raster coverage ◦ Linked to input files using unique identifier
Close communication with SWET (not open source)
MPE Input – HRAP grid
Dept. of Meteorology
Based on daily streamflow output from model runs
2 model runs compared to each other and to observed streamflow at USGS stream gauges for each AOI
Standard Statistics: Standard deviation of differences, mean difference (bias), coefficient of determination (R2)
Volume: Accumulation charts, Mass Balance Error (MBE)
Predictive Skill: Nash-Sutcliffe efficiency (ENS)
Comparisons
Dept. of Meteorology
Nash-Sutcliffe Efficiency (ENS) Ranges from -∞ to 1 Indicates how well plot of observed versus predicted
values fits the 1:1 line ENS = 1 perfect fit ENS < 0 model predictions no better than average of
observed data
Mass Balance Error (MBE) Ranges from -∞ to ∞ 0% ideal
Dept. of Meteorology
Six-Year CompositeAnnualSeasonal
Results
Dept. of Meteorology
Std Dev of Diff (AOI size difference) Worthington Springs results better than New River New River AOI
• Higher gauge density than Worthington• Still too small to model efficiently, stats much lower
To compare only rainfall input differences, focus on larger Worthington Springs AOI
Basin Size (2000-2005)
Standard Deviation of Differences
Mean Difference
(Bias) R2 ENS MBE
Worthington Springs AOI
Thiessen 14.02 4.07 0.6090.48
5 47.74%
FSU MPE 13.54 -0.33 0.5790.55
7-3.86%
New River AOI
Thiessen 9.90 -1.40 0.3720.35
6 -36.13%
FSU MPE9.87 -2.09 0.396
0.344 -53.85%
Dept. of Meteorology
Composite Streamflow Results (2000-2005)
Standard Deviation of Differences
Mean Difference
(Bias) R2 ENS MBE
Worthington Springs AOI
Thiessen 14.02 4.07 0.609 0.485 47.74% FSU MPE 13.54 -0.33 0.579 0.557 -3.86%
New River AOI Thiessen 9.90 -1.40 0.372 0.356 -36.13%
FSU MPE 9.87 -2.09 0.396 0.344 -53.85%
Bias, ENS, MBE of FSU MPE better than
Thiessen R2 of Thiessen (0.61) ≈ FSU MPE (0.58)
Dept. of Meteorology
MPE totals: 255-360 in. Gauge totals: 285-380
in. 0 gauges positioned in
SE portion Rain gauges in areas
where rainfall is relatively large
Placement of rain gauges relative to the rainfall pattern would have to be analyzed on a case by case basis to determine its impact
Overall Spatial Distribution of Rainfall
0
500
1,000
1,500
2,000
2,500
3,000
Jan-00 Jan-01 Jan-02 Jan-03 Jan-04 Jan-05
Mill
ion
sC
um
ula
tive
Flo
w (
m3 )
Thiessen FSU MPE Measured
-150
-50
50
150
250
350
450
550
650
750
850
Jan-00 Jan-01 Jan-02 Jan-03 Jan-04 Jan-05
Mill
ion
sC
um
ula
tive
Flo
w D
iffe
ren
ce f
rom
Ob
serv
ed (
m3 )
Thiessen MPE
Accumulation MPE initially
overestimates ~ 2003 large
underestimates Then follows observed
closely
Thiessen always overestimates
Error compounded, not canceled
End of 6 yrs, MPE most accurate
800 million m3 overestimate
0
50
100
150
200
250
300
350
400
450
0 50 100 150 200 250 300 350 400 450
Measured (m3/s)
FS
U M
PE
Sim
ula
ted
(m
3 /s)
0
50
100
150
200
250
300
350
400
450
0 50 100 150 200 250 300 350 400 450
Measured (m3/s)
Th
iess
en S
imu
late
d (
m3 /s
)
Daily values (365 days × 6 yrs)
Trend below 1:1 line, esp. for measured values greater than 50 m3 s-1
o underestimate For less than 50 m3 s-1
measured streamflowo Thiessen input leads
to greater overestimates?
o MPE input closer to observed or possibly greater underestimates?
R2 = 0.609
R2 = 0.579
Scatter Plots
Dept. of Meteorology
Low Flow vs. High Flow
Standard Deviation of Differences
Mean Difference
(Bias) R2 ENS MBEHigh (75th Percentile) Thiessen 25.24 2.11 0.524 0.391 7.07% FSU MPE 24.81 -7.82 0.504 0.357 -26.28%Low (25th Percentile) Thiessen 3.86 2.67 0.000 -1453.7 1533.8% FSU MPE 2.75 1.62 0.001 -669.0 928.0%
Decisions made when flow is low or high low flow days at or below the 25th percentile of observed
conditions◦ Drought years when streamflow reached zero◦ WAM ability to forecast extreme dry events?◦ Both input results bad
high flow days above the 75th percentile◦ Was WAM developed to perform best during high-flow
conditions when using point-based rain gauge data?
Composite Results Summary
MPE Pros + MPE Cons -
Captures spatial variability
Accumulation & Mass Balance Error
Improved Bias & ENS
Did not perform better in smaller New River AOI
R2 not improved
Below 1:1 on daily scatter plot, esp. at high values – underestimates (as did Thiessen)
Model Issues? Low-flow simulations poor for both inputs High flow not improved, rainfall measurement to
model physics relationship issue?
Dept. of Meteorology
Six-Year CompositeAnnualSeasonal
Results
Dept. of Meteorology
Drought during first 3 yrs
Average to above average last 3 yrs
MPE better for 2000-2002 & 2004
Thiessen better in 2003 & 2005
Yearly Accumulation Results
0
100,000
200,000
300,000
400,000
500,000
600,000
2000 2001 2002 2003 2004 2005 SepOct2004 Rest2004
acre
-fe
et
Thiessen FSU MPE Measured
Dept. of Meteorology
Overall R2 improves in later years (exc. Thiessen 2000 anomaly)
SUW gauges added More rainfall
ENS improves substantially in 2003
ENS 2005 equal
R2
EN
S
Yearly Statistics Comparison
FSU MPE Best Thiessen Best
Bias: 2000-2002 & 2004 MBE: 2000-2002 & 2004 ENS: 2000-2002 & 2004 R2: 2001-2003 & 2005
Bias: 2003 & 2005 MBE: 2003 & 2005 ENS: 2003 R2: 2000 & 2004
ENS equal in 2005 Thiessen never performed better than FSU MPE
during one year in every statistical category MPE performed better than Thiessen in every
category during 2001 and 2002
2003 2004 2005
Example Hydrograph
Frances
Jeanne
Dept. of Meteorology
Rest2004: MPE better than Thiessen
SepOct2004: MPE better than Thiessen
and… Rest2004 ~ 2000-2002
More peak streamflow events in 2003 & 2005
Was 2004 really “above average”?
0
100,000
200,000
300,000
400,000
500,000
600,000
2000 2001 2002 2003 2004 2005 SepOct2004 Rest2004
acre
-fee
t
Thiessen FSU MPE Measured
Fewer events in 2000-2002 more likely to hit or miss rain gauges than more events in 2003 & 2005
Thiessen exhibits large spikes during 2000 – less underestimation
More underestimation during 2005
0
5
10
15
20
25
30
35
40
45
Jan-00 Feb-00 Mar-00 Apr-00 May-00 Jun-00 Jul-00 Aug-00 Sep-00 Oct-00 Nov-00 Dec-00
Flo
w (
m3 /s
)
Thiessen FSU MPE Measured
-5
0
5
10
15
20
25
30
35
40
Jan-00 Feb-00 Mar-00 Apr-00 May-00 Jun-00 Jul-00 Aug-00 Sep-00 Oct-00 Nov-00 Dec-00
Flo
w D
iffe
ren
ce (
m3 /s
)
Thiessen MPE
0
20
40
60
80
100
120
140
Jan-05 Feb-05 Mar-05 Apr-05 May-05 Jun-05 Jul-05 Aug-05 Sep-05 Oct-05 Nov-05 Dec-05
Flo
w (
m3 /s
)
Thiessen FSU MPE Measured
-65
-45
-25
-5
15
35
55
75
Jan-05 Feb-05 Mar-05 Apr-05 May-05 Jun-05 Jul-05 Aug-05 Sep-05 Oct-05 Nov-05 Dec-05
Flo
w D
iffe
ren
ce (
m3 /s
)
Thiessen MPE
2000 2005
Annual Results SummaryMPE Pros + MPE Cons -
Accumulations and MBE during dry years and tropical rainfall
ENS usually better (2003 exception)
Standard deviation of differences usually less (2004 exception)
More rainfall (streamflow) events lead to higher likelihood of FSU MPE to underestimate rainfall?
Dept. of Meteorology
Six-Year CompositeAnnualSeasonal
Results
Dept. of Meteorology
Subjectively divided into 3-month periods
Oct-Mar: more stratiform than other months
Esp. Jan-Mar: beam overshooting issues? (closest radar ~ 75 km)
Jul-Sep: more summer convective scenarios
Seasonal Accumulations
0
100,000
200,000
300,000
400,000
500,000
600,000
700,000
800,000
900,000
Jan-Mar Apr-Jun Jul-Sep Oct-Dec
acre
-fee
t
Thiessen FSU MPE Measured
Dept. of Meteorology
MPE weaknesses ENS
◦Jan – Mar◦stratiform dominant
R2
◦Jul – Sep◦Convection/seabreeze dominant
Key Seasonal Differences
R2
ENS
Seasonal Statistics Comparison
FSU MPE Best Thiessen Best
Bias: Apr-Jun, Jul-Sep, Oct-Dec
MBE: Apr-Jun, Jul-Sep, Oct-Dec
ENS: Apr-Jun, Jul-Sep, Oct-Dec
R2: Jan-Mar, Apr-Jun, Oct-Dec
Bias: Jan-Mar MBE: Jan-Mar ENS: Jan-Mar R2: Jul-Sep
R2 actually better for MPE during Jan-Mar? MPE displayed better MBE, bias, ENS during Jul-
Sep, but not R2? Adds some uncertainty
Seasonal Results SummaryMPE Pros + MPE Cons -
Accumulations during most of the year
Correlations/skill during most of the year
Transition and convective dominant seasons
Accumulations during early year stratiform events
R2 during summer/convective events
Dept. of Meteorology
Summary by Conclusions
the end is near…
Dept. of Meteorology
Fewer missing data issues with FSU MPE Smaller New River basin did not show positive
results, even with higher-resolution MPE Overall, FSU MPE-derived streamflow
accumulations much better than Thiessen, bias and skill slightly improved with MPE, correlations are inconclusive
Low flow – both inputs lead to poor comparison to observed, WAM improvement?
High flow – model physics issue with distributing less intense values over watershed?
Conclusions
Dept. of Meteorology
FSU MPE accumulations much better than Thiessen in dry years and tropical events
Less peak events MPE better than Thiessen More peak events MPE underestimates,
Thiessen more accurate FSU MPE underestimation issues during periods
when stratiform is commonMust remember: Personal judgment key to any modeling study Results are based on this configuration of WAM
for this basin only
More Conclusions
Dept. of Meteorology
Steve Martinaitis comparing FSU MPE dataset in another hydrologic model, MIKE SHE
WAM needs testing by developers (SWET) to ensure that MPE data used to best capability – make modifications?
NWS MPE data now available as well, make comparisons with FSU MPE to better understand the effects of the Florida WMD gauges and FSU parameters on MPE scheme
Future Work
Dept. of Meteorology
Dr. Henry Fuelberg Dr. Paul Ruscher and Dr. Guosheng Liu Joel Lanier, National Weather Service
Tallahassee Judi Bradberry, Southeast River Forecast Center Barry Jacobson and Del Bottcher, SWET All of my friends in the meteorology
department, esp. the wonderful Fuelberg Lab My family; esp. Trey, parents, and siblings Project funded by the Florida Department of
Environmental Protection
Acknowledgements
Questions?
THE END
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