Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if...

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Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A “Gang of N” Production Elgin Perry - Statistics Consultant Marcia Olson - NOAA/CBP Beth Ebersole - MD DNR Bill Romano - MD DNR Presented to the Tidal Monitoring and Analysis Workgroup on 3 December 2003

Transcript of Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if...

Page 1: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.

Post-Calibration of Fluorescence Data from Continuous Monitors(To adjust or not to adjust, and if

so, how?)

A “Gang of N” Production

Elgin Perry - Statistics Consultant

Marcia Olson - NOAA/CBP

Beth Ebersole - MD DNR

Bill Romano - MD DNR

Presented to the Tidal Monitoring and Analysis Workgroup on 3 December 2003

Page 2: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.

Comparison of PAR, Sensor, and Extractive Chlorophyll Data

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Chl a - extraction

PAR

(Kim Mikita’s data)

Page 3: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.

Tidal cycle

Diel cycle

Page 4: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.
Page 5: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.

log(x/y)=log x - log y

LNRAT = LNCHL_F – LNCHL_A

Page 6: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.

Model Evaluated

• Season

• Sonde deployed

• Light

• Turbidity

Log ratio as a function of:

Page 7: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.

Station

Signed-rank Test Season Sonde Light Turbidity

Turville Creek P<0.0001 NS NS NS NS

Bishopville NS NS NS NS NS

Shelltown 0.0042 NS NS NS NS

CHWS NS NS NS NS NS

Rehobeth 0.0008 NS NS NS NS

Chicamacomico NS 0.0135 0.0045 NS NS

Ben Oaks NS NS 0.0020 NS NS

Sherwood 0.0425 0.0316 NS 0.0276 NS

Whitehurst NS NS NS NS NS

Stonington NS NS NS NS NS

Model Results

Page 8: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.

At higher light levels, extractive samples exceed fluorescence data?

Page 9: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.

Fluorescence exceeds extractive at all light levels, so no light effect.

Page 10: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.

Fluorescence exceeds extractive under all light levels, so no light effect.

Page 11: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.

Similar pattern to Turville Creek and Shelltown.

Page 12: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.

Chlorophyll Adjustment Methods

• Regression method – CF(adj) = ß0 + ß1CF

(Model CS = CF)

• Multiple regression – CF(adj) = ß0 + ß1CF + ß2Turb

(Model CS = CF, Turbidity)

• Ratio method – CF(adj) = CF x (CS/CF)

• Subtract “background fluorescence”

Page 13: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.

Linear Regression Assumptions

• Y is linearly related to X• Expected value of the error term is zero• Constant variance in the error terms, which

are uncorrelated• Independent variable(s) is measured

without error• Independent variables are not linearly

related

Page 14: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.
Page 15: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.
Page 16: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.
Page 17: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.
Page 18: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.
Page 19: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.
Page 20: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.

Observation Station In Vivo DateTime Extractive Ratio of CS:CF

1 TURVILLE 45.3 02MAY2002:13:00:00 10.66 0.2353200882 TURVILLE 59 09MAY2002:12:00:00 38.53 0.6530508473 TURVILLE 74 16MAY2002:11:00:00 44.66 0.603513514

4 TURVILLE 21.8 23MAY2002:11:30:00 18.01 0.8261467895 TURVILLE 88 30MAY2002:11:45:00 192.14 2.183409091

6 TURVILLE 43 06JUN2002:14:30:00 37.72 0.8772093027 TURVILLE 68.2 13JUN2002:12:30:00 46.67 0.684310858 TURVILLE 44 20JUN2002:13:30:00 40.72 0.925454545

9 TURVILLE 103.3 25JUN2002:10:00:00 67.57 0.6541142310 TURVILLE 69.5 01JUL2002:11:30:00 68.44 0.984748201

11 TURVILLE 54.7 10JUL2002:12:00:00 52.82 0.96563071312 TURVILLE 36.4 17JUL2002:11:30:00 21.65 0.5947802213 TURVILLE 61.6 23JUL2002:11:15:00 38.79 0.629707792

14 TURVILLE 60.6 31JUL2002:10:30:00 34.64 0.57161716215 TURVILLE 56.2 07AUG2002:11:15:00 46.87 0.83398576516 TURVILLE 47.9 15AUG2002:08:15:00 35.19 0.734655532

17 TURVILLE 78.3 21AUG2002:10:15:00 55.24 0.70549169918 TURVILLE 58 28AUG2002:10:00:00 46.69 0.805

19 TURVILLE 34.1 05SEP2002:11:00:00 29.9 0.87683284520 TURVILLE 28.1 11SEP2002:10:45:00 27.27 0.97046263321 TURVILLE 38.9 19SEP2002:11:15:00 20.98 0.53933162

22 TURVILLE 36.1 25SEP2002:10:45:00 32.23 0.89279778423 TURVILLE 30.7 02OCT2002:11:15:00 22.65 0.737785016

24 TURVILLE 20.7 09OCT2002:12:30:00 14.56 0.70338164325 TURVILLE 17 16OCT2002:12:30:00 11.91 0.70058823526 TURVILLE 48.4 23OCT2002:10:15:00 32.18 0.664876033

27 TURVILLE 48 30OCT2002:10:45:00 23.6 0.491666667Average Ratio 0.779476623

Correction Using Ratio of Extractive to In Vivo

Page 21: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.
Page 22: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.

Conclusions

• Stop collecting data• Full speed ahead (one size fits all)• Test various models and select one that minimizes

root mean square error on a per station basis• Hire an expert to assess covariate measurement

error problem• Log transform for correction and then back

transform

Page 23: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.

Whitehurst Fluorescence and Chlorophyll Data for 2002

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Page 24: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.

Drawbridge Fluorescence and Chlorophyll Data for 2002

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Page 25: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.

Shelltown Fluorescence and Chlorophyll Data for 2002

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Page 26: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.

Rehobeth Fluorescence and Chlorophyll Data for 2002

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Page 27: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.

Sherwood Fluorescence and Chlorophyll Data for 2002

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Page 28: Post-Calibration of Fluorescence Data from Continuous Monitors (To adjust or not to adjust, and if so, how?) A Gang of N Production Elgin Perry - Statistics.