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Post-calibration of YSI chlorophyll A Gang of N Production 27 July 2005 Bill Romano – MD DNR Elgin Perry – Statistics consultant Beth Ebersole – MD DNR Marcia Olson - NOAA

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Page 1: Post-calibration of YSI chlorophyll A Gang of N Production 27 July 2005 Bill Romano – MD DNR Elgin Perry – Statistics consultant Beth Ebersole – MD DNR

Post-calibration of YSI chlorophyll

A Gang of N Production27 July 2005

Bill Romano – MD DNR

Elgin Perry – Statistics consultant

Beth Ebersole – MD DNR

Marcia Olson - NOAA

Page 2: Post-calibration of YSI chlorophyll A Gang of N Production 27 July 2005 Bill Romano – MD DNR Elgin Perry – Statistics consultant Beth Ebersole – MD DNR

Elgin and I considered four methods

• Arithmetic mean ratio• First subtracting 0.03 x turbidity

from YSI chlorophyll then using a temperature adjustment (VIMS)

• Using temperature and turbidity• Temperature only

Page 3: Post-calibration of YSI chlorophyll A Gang of N Production 27 July 2005 Bill Romano – MD DNR Elgin Perry – Statistics consultant Beth Ebersole – MD DNR

Data used in the analyses

• 522 station and time matched pairs of extractive and YSI chlorophyll data

• Data set was split into calibration and validation data sets using a random number SAS function

• The first 261 records were assigned to the calibration data set

Page 4: Post-calibration of YSI chlorophyll A Gang of N Production 27 July 2005 Bill Romano – MD DNR Elgin Perry – Statistics consultant Beth Ebersole – MD DNR

Arithmetic mean ratio

• RatioAdj = Extractive chl-a / YSI chlorophyll

• Calculate the mean ratio for each station• Multiply the station mean ratio by YSI

chlorophyll from the validation data set• Calculate the root mean square error

using the difference between post calibrated and extractive chlorophyll from the validation data set

• RMSE across all stations is 21.17

Page 5: Post-calibration of YSI chlorophyll A Gang of N Production 27 July 2005 Bill Romano – MD DNR Elgin Perry – Statistics consultant Beth Ebersole – MD DNR

Turbidity adjusted data

• Subtract the YSI recommended turbidity interference factor (0.03 μg/L per NTU) from each chlorophyll reading

• Calculate the log ratio (logCE – logCFtc)• Model the log ratio as a function of

temperature• Post calibrate using predicted ratio and

turbidity adjusted YSI chlorophyll• RMSE across all stations is 20.79

Page 6: Post-calibration of YSI chlorophyll A Gang of N Production 27 July 2005 Bill Romano – MD DNR Elgin Perry – Statistics consultant Beth Ebersole – MD DNR

Temperature and turbidity adjustment

• Calculate the log ratio (logCE – logCF)

• Model the log ratio as a function of temperature and turbidity

• Post-calibrate using the predicted ratio and YSI chlorophyll

• RMSE across all stations is 20.43

Page 7: Post-calibration of YSI chlorophyll A Gang of N Production 27 July 2005 Bill Romano – MD DNR Elgin Perry – Statistics consultant Beth Ebersole – MD DNR

Temperature only adjustment

• Calculate the log ratio (logCE – logCF)

• Model the log ratio as a function of temperature

• Post-calibrate using the predicted ratio and YSI chlorophyll

• RMSE across all stations is 20.96

Page 8: Post-calibration of YSI chlorophyll A Gang of N Production 27 July 2005 Bill Romano – MD DNR Elgin Perry – Statistics consultant Beth Ebersole – MD DNR

Does turbidity contribute that much to the model?

• The p-value (type I and type III sums of squares) is 0.17 for the turbidity coefficient in the temperature and turbidity model

• The turbidity coefficient in: CHLapred = 3.230 + 1.132 x (chlYSI) – 0.015 x (turb), is half what YSI recommends (-0.03)

• Should we use it?

Page 9: Post-calibration of YSI chlorophyll A Gang of N Production 27 July 2005 Bill Romano – MD DNR Elgin Perry – Statistics consultant Beth Ebersole – MD DNR

How do extractive and YSI chlorophyll compare?

• A comparison of log ratio (CF – CE) chlorophyll values using the Wilcoxon test indicates that many stations are significantly different

• Of the twenty-four station differences, only one was positive, so extractive chla exceeds YSI chlorophyll

• One would expect the opposite result, because the sonde provides a measure of “total” chlorophyll

Page 10: Post-calibration of YSI chlorophyll A Gang of N Production 27 July 2005 Bill Romano – MD DNR Elgin Perry – Statistics consultant Beth Ebersole – MD DNR
Page 11: Post-calibration of YSI chlorophyll A Gang of N Production 27 July 2005 Bill Romano – MD DNR Elgin Perry – Statistics consultant Beth Ebersole – MD DNR

Mean of extractive and YSI chlorophyll

Station YSI chl chla p-value

CCM0069 19.84 20.27 0.1187

CHE0348 10.19 15.27 0.1157

CTT0001 27.73 34.65 0.0775

FRG0002 11.00 13.43 0.0006

MDR0038 18.46 24.27 0.0068

MTI0015 3.60 4.83 0.9442

PXT0311 6.10 7.29 0.3258

PXT0455 5.66 6.74 0.9312

SEV0116 (+)

27.89 26.21 0.4903

TRQ0088 19.67 31.95 0.0020

TUV0021 24.07 30.32 0.0002

WXT0013 4.16 4.42 0.5112

Page 12: Post-calibration of YSI chlorophyll A Gang of N Production 27 July 2005 Bill Romano – MD DNR Elgin Perry – Statistics consultant Beth Ebersole – MD DNR

Mean of extractive and YSI chlorophyll

Station YSI chl chla p-value

XCF9029 22.92 23.82 0.3484

XCH8097 8.42 10.68 0.0413

XDE4587 16.34 17.60 0.4307

XDM4486 49.49 70.93 0.0225

XED0694 20.82 56.72 <0.0001

XHE1973 16.18 22.62 <0.0001

XHF3719 27.71 30.42 0.0191

XIH0077 8.00 6.75 0.1074

XJF4289 6.48 10.02 0.0195

XJG2718 7.45 13.40 <0.0001

XJG4337 5.69 7.76 0.0006

XJG7035 5.64 12.03 <0.0001

Page 13: Post-calibration of YSI chlorophyll A Gang of N Production 27 July 2005 Bill Romano – MD DNR Elgin Perry – Statistics consultant Beth Ebersole – MD DNR

Simple ratio adjustment factors differ from station to station

Station Ratio

CCM0069 0.928

CHE0348 1.203

CTT0001 1.424

FRG0002 1.421

MDR0038 1.344

MTI0015 0.956

PXT0311 1.002

PXT0455 1.195

SEV0116 0.842

TRQ0088 1.503

TUV0021 1.229

WXT0013 0.992

(see LSD output)

Page 14: Post-calibration of YSI chlorophyll A Gang of N Production 27 July 2005 Bill Romano – MD DNR Elgin Perry – Statistics consultant Beth Ebersole – MD DNR

Simple ratio adjustment factors(continued)

Station Ratio

XCF9029 1.247

XCH8097 1.451

XDE4587 1.161

XDM4486 1.496

XED0694 1.713

XHE1973 1.864

XHF3719 1.223

XIH0077 0.834

XJF4289 1.600

XJG2718 1.696

XJG4337 1.363

XJG7035 1.966

(see LSD output)

Page 15: Post-calibration of YSI chlorophyll A Gang of N Production 27 July 2005 Bill Romano – MD DNR Elgin Perry – Statistics consultant Beth Ebersole – MD DNR

Observations with RSTUDENT greater in absolute value than 2 may need some attention.

Are some values too “influential”?

Page 16: Post-calibration of YSI chlorophyll A Gang of N Production 27 July 2005 Bill Romano – MD DNR Elgin Perry – Statistics consultant Beth Ebersole – MD DNR

Large values of DFFITS indicate influential observations. A general cutoff to consider is 2.

Influential data points?

Page 17: Post-calibration of YSI chlorophyll A Gang of N Production 27 July 2005 Bill Romano – MD DNR Elgin Perry – Statistics consultant Beth Ebersole – MD DNR
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- Ratio Method

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- Ratio Method

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- Ratio Method

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- Ratio Method

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- Ratio Method

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- Ratio Method

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- Ratio Method

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- Ratio Method

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- Ratio Method

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- Ratio Method

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- Ratio Method

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- Ratio Method

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- Ratio Method

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- Ratio Method

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- Ratio Method

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- Ratio Method

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- Ratio Method

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- Ratio Method

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- Ratio Method

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- Ratio Method

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