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Lake Superior Water Clarity
Analysis of Water Clarity in Lake Superior using MODIS ImagesYan Wang, Beth Peterson
Forest Resources 3262 / 5262Remote Sensing of Natural Resources and Environment12/10/12
Objective• Analyze water quality in Lake Superior near
Duluth• 2011 and 2012• June – September
• Evaluate the effectiveness of MODIS data for determining water clarity
• Evaluate the compatibility of MODIS data with field data from streams.
MODIS Data• Satellite Aqua (as opposed to Tera)• ~18:50 passover time• Product: MDY09A1 • bands 1–7• 500m resolution• 8 day composite (reduce cloud cover)
• Use bands 1 and 3 (red and blue)• 8 images per month (4 in each band)• Extracted: DN of the point at each site where field
data was collected
Field Data
• Turbidity Recorded as Nephelometric Turbidity Units (NTU)
• Turbidity data from Lake Superior Streams• ~7 streams (depending on availability)• Data recorded ~every 15 minuites• Latitude and Longitude for each site
• Extracted: average of data collected at 18:30, 18:45, 18:90 for all 8 days of each image
Preprocess
• Geometry correction, atmospheric correction :
MRT tool
• ArcGIS: clip image and extract DN value of field samples from image
• Process field sample of turbidity
Regression Analysis
siteBand1 Band3
(Band3-Band1) / (Band3+Band1 field ln(field)
Chester Creek 395 172 -0.39329806 0.84375 -0.1699
Tischer Creek 605 370 -0.241025641 1.3625 0.309321
Kingsbury Creek 532 267 -0.331664581 5.545833 1.713047
Miller Creek 655 304 -0.366006257 5.65 1.731656
Oliver Bridge - St Louis River 661 317 -0.351738241 100.3775 4.608938
WLSSD 436 322 -0.150395778 5.36875 1.680595
Y=ln(field)X=(B3-B1)/(B3+B1)
-0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1
-1
0
1
2
3
4
5
f(x) = 0.600789237895685 x + 2.41251821812401R² = 0.002447531627357
Results: Algorithms
Month N equation R²
June24
y = 0.0041x - 0.2998
R² = 0.0024
July24 y = -0.0202x -
0.2635R² = 0.3799
August
24 y = 0.006x - 0.2982
R² = 0.0168
Sept 24 y = 0.0004x - 0.3366
R² = 0.0002
Month N equation R²
June 15y = 9.2004x + 6.0675
R² = 0.1396
July 11y = -11.955x - 0.7553
R² = 0.3609
August 10y =- 50.181x - 12.919
R² = 0.76
September 6
y = -1.62x + 3.0091
R² = 0.1518
2011 2012
Results: 2011 Images
June July
August September
Results: 2012 Images
June July
August September
Accuracy Assessment
Site and Julian date Band 1 Band3
Regression Equation used
Predicted Turbidity
Actual Turbidity
DE 185 476 252y = -11.955x - 0.7553
2.923161538 4.96
OS 185 448 241y = -11.955x - 0.7554 2.83640537 10.7
WE 185 395 188y = -11.955x - 0.7555 3.48944271 14
DE 193 600 391y = -11.955x - 0.7556
1.765986579 3.2
OS 193 606 407y = -11.955x - 0.7557
1.593214314 2.1
WE 193 605 393y = -11.955x - 0.7558
1.784239078 7.6
July 2012
Accuracy Assessment
1 1.5 2 2.5 3 3.5 40
2
4
6
8
10
12
14
16
f(x) = 4.59520497378437 x − 3.92937599012964R² = 0.616438316808711
July
Series1Linear (Series1)
Predicted (NTU)
Fie
ld (
NTU
)
Discussion• Regression analysis
produced very poor results.• Streams were too small in
comparison to MODIS pixels• Missing or inaccurate turbidity
data
• Turbidity values near the shore were different than values for the center of the lake.
• Much more variability in 2012, possibly as a result of the large flood that occurred early in the year