Victor LevesqueU.S. Geological Survey

Florida Water Science CenterTampa, Florida

Victor LevesqueU.S. Geological Survey

Florida Water Science CenterTampa, Florida

Documenting

Regression Analysisfor

Index Velocity Ratings

OverviewOverview Data required for the rating

(Stage-area and Index velocity) What to collect and what to keep Assembling and Documenting the data Examples

Rating documentation(Stage-area and Index velocity) Assembling and Documenting the data What information is needed Examples

Two RatingsTwo Ratings

Stage-to-areaIndex-to-mean velocity

Q = VA

Stage-to-Area RatingStage-to-Area Rating Collect cross-section survey and

water level data Assemble data Document data and results Create and document a stage-area

rating

Data CollectionData CollectionStandard cross-section

Clearly mark cross-section in the field and document in the rating

Include a site sketch Include distances Document survey method Identify water level data and datum

Index Sensor

Standard cross-section

Flow direction

Oak tree on left bank. Orange X on trunk.

20 feet upstream

150 feet

Large rock with orange X

Important items to remember Cross section must be referenced to stage Survey past the maximum expected stage You should routinely check for channel changes

Every year for first three years

If there is a departure in the index velocity rating

After a high flow event Use the same cross-section for resurvey

Data CollectionData Collection

Assemble the DataAssemble the Data

Data can be input to a spreadsheet Describe how and where data were

collected Label all columns Include times and time datum Include water level data measured during

the time of the survey Include a site sketch

\\FloridaFL-S\Projects

NWIS

Management Station Information

GW

25xx

252115080293701

DCP Programs

Levels Summary

Pictures

SIMS

30xx

SW

25xx 30xx 0220 0237

02370000

DCP Programs

Levels Summary

Pictures

SIMS

Historical WY

WY2008

WY2007

Current WY

WY2010 WY2009

GW

25xx

252115080293701

EDL

Inspections

Levels

Station Analysis

Station Description

Water Quality

30xx

SW

25xx 30xx 0220 0237

02370000

EDL

Inspections

Levels

Measurements

Ratings

Station Analysis

Station Description

SWReview

Velocity

Water Quality

Go2 Plots Swami Scripts

Stage-Area Rating - Poor Example

Stage-Area Rating - Poor Example

Limited DocumentationLimited Documentation

Stage-Area WorkbookStage-Area Workbook

Popash Creek at Leetana Rd nr North Ft Myers, FL 02293090Cross-section measurement Gkrupp and VlevesqueFebruary 29, 2008 FridayEast of I-75

All elevations from level rod.All horizontal locations from stadia.Datum elevation of FDOT disc not applied to elevations.All heights and locations are in feet.

All elevations are relative from starting RM.Stadia MeasurementsHorizontal

Labels B.S. Ht Inst F.S. Elevation Top Bottom Location RemarksArB RM1 1.562 26.562 FDOT disc NE bridge wall, Frontage Road 120115TP1 a 4.539 22.02 8.403 5.724 268 <--Top Edge of concrete revetment, left side of streamTP2 b 4.605 21.96 5.411 3.081 233TP3 c 7.253 19.31 8.019 6.491 153TP4 d 9.881 16.68 10.619 9.141 148TP5 e 11.349 15.21 11.885 10.814 107TP6 f 12.123 14.44 12.589 11.659 93TP7 g 13.519 13.04 13.939 13.099 84 <--Top of left stream bankTP8 h 14.366 12.20 15.352 14.542 81 <--Water surface at 1130 EST WSElev= 0.735 feetTP9 i 14.942 11.62 81 <--LEW stream bed at 1130 EST (1630 UTC)TP10 j 15.624 10.94 79 from Argonaut-SW vertical beam.TP11 k 15.63 10.93 77TP12 l 15.458 11.10 15.835 15.109 73TP13 m 15.482 11.08 15.842 15.134 71TP14 n 15.541 11.02 15.882 15.215 67TP15 o 15.516 11.05 15.842 15.195 65TP16 p 15.385 11.18 15.715 15.071 64TP17 q 14.419 12.14 14.732 14.109 62TP18 r 13.595 12.97 61TP21 s 10.644 15.92 55 <--TP19 and 20 were elevation and horizontal distance measurements to locate the Argonaut-SW in the stream channel.TP22 t 10.788 15.77 46TP23 u 10.507 16.06 36TP24 v 10.279 16.28 28TP25 w 7.519 19.04 7.632 7.407 23TP26 x 4.359 22.20 4.435 4.284 15 top of concrete revetment slope, right side of streamTP27 y 4.203 22.36 5 Right side of stream at west most edge of concrete revetment

Stadia MeasurementsHorizontalElevation Top Bottom Location

TP19 15.078 11.48 15.428 14.728 70 <--Top of Argonaut-SWTP20 11.481 15.08 15.868 15.235 63 <--Stadia measurement for distance in cross-section to Argonaut-SW

The Argonaut is about 20 feet upstream from the channel cross-section.TP20 was made in channel cross-section survey line and aligned with horizontal location of the Argonaut-SW.

Where, when, who

How data were collected and what are the data

Details

Plot the Cross-SectionPlot the Cross-Section

0 50 100 150 200 250 30010

12

14

16

18

20

22

24

Popash Creek Cross-sectionFebruary 29, 2008

Horizontal distance from top of Left bank in feet

Ver

tica

l ele

vati

on

in f

eet

Cross-section corrected to WS elevation

Cross-section corrected to WS elevation

Input Data to AreaCompInput Data to AreaComp

AreaComp• USGS program for the purpose of attaining cross sectional area• Can use data tables or WinRiver ASCII files• Provides output for stage and area

http://hydroacoustics.usgs.gov/indexvelocity/software.shtml

Generate a Stage-Area Rating

Generate a Stage-Area Rating

Save all output from AreaComp Include data in Rating Workbook

Stage-Area Rating final worksheetStage-Area Rating final worksheet

Documenting the Stage-Area Rating

Documenting the Stage-Area Rating

How were data collected and transformed?

What data were used to create the rating?

Documentation to describe how the rating was developed

Leave no doubt as to how, what, and why the rating was developed

Index Velocity RatingIndex Velocity Rating Collect calibration data

Discharge Stage Index Velocity

(RangeAvg X,Y, Z, Multi-Cell X,Y,Z) Assemble data Document data Perform Regression Analysis Identify and Document Selected Rating

Collect Calibration DataCollect Calibration Data

Synchronize all data sensor times Configure index velocity and stage

sensor data collection interval Save and document all data

Assemble the Calibration Data

Assemble the Calibration Data

Discharge measurements Dates, start and end times, and total

discharge Stage

Dates, times and stage Index Velocity

Dates and times RangeAvg X,Y,Z, Multi-Cell X,Y,Z, depth Index Velocity Configuration

Rating Analysis DocumentationRating Analysis Documentation

Label all data columns Include information about the data Rearrange the data columns as

necessary Synchronize and Synthesize Data Create an organized data table Perform regression analysis Select appropriate rating

Discharge Data WorksheetDischarge Data Worksheet

Stage Data WorksheetStage Data Worksheet

Free Excel Interpolation Add-In available:http://www.xlxtrfun.com/XlXtrFun/XlXtrFun.htm

Index Velocity Data Worksheet

Index Velocity Data Worksheet

Synchronize and Synthesize Data

Synchronize and Synthesize Data

Synchronize and Synthesize Data

Synchronize and Synthesize Data

Synchronization and Synthesis

Synchronization and Synthesis

Create an Organized Data Table

Create an Organized Data Table

Add VariablesAdd Variables

Exploratory Data AnalysisExploratory Data Analysis

Plot with Measured-Mean Velocity (y-axis) Index velocity (X, Y, Z, multi-cell X,Y,Z) Stage

Index VelocityIndex Velocity

-2.00 -1.50 -1.00 -0.50 0.00 0.50 1.00 1.50 2.00-2.00

-1.50

-1.00

-0.50

0.00

0.50

1.00

1.50

2.00

Caloosahatchee River Shell Point

RA X-velocity in fps

Mea

sure

d M

ean

Vel

oci

ty i

n f

ps

-0.30 -0.25 -0.20 -0.15 -0.10 -0.05 0.00 0.05-2.00

-1.50

-1.00

-0.50

0.00

0.50

1.00

1.50

2.00

Caloosahatchee River at Shell Point

RA Y-velocity in fps

Mea

sure

d-M

ean

Vel

oci

ty i

n f

ps

StageStage

4.90 4.95 5.00 5.05 5.10 5.15 5.20 5.25 5.30 5.35-2.00

-1.50

-1.00

-0.50

0.00

0.50

1.00

1.50

2.00

Caloosahatchee River at Shell Point

Punta Blanca Pressure in feet

Mea

sure

d-M

ean

Vel

oci

ty i

n f

ps

This is NOT Regression Analysis

This is NOT Regression Analysis

-2.00 -1.50 -1.00 -0.50 0.00 0.50 1.00 1.50 2.00-2.00

-1.50

-1.00

-0.50

0.00

0.50

1.00

1.50

2.00

f(x) = 0.924630849325406 x + 0.0199512995042576R² = 0.95917486885564

f(x) = 0.80761909893553 x − 0.13290854059824R² = 0.995916867604505

Caloosahatchee River at Shell Point

Negative Xvel

Linear (Negative Xvel)

Positive Xvel

Linear (Positive Xvel)

RA X velocity in fps

Mea

sure

Mea

n V

elo

city

in

fp

s

Inadequate DocumentationInadequate Documentation

Index-to-Mean Velocity Regression

All Data

Index-to-Mean Velocity Regression

All Data

Regression Analysis continued

Regression Analysis continued

Select Appropriate RatingSelect Appropriate Rating

Check the RatingCheck the Rating

Regression AnalysisRegression Analysis

Rating SummaryRating Summary

SummarySummary Collect and document data Carefully assemble and identify data Maintain good notes Perform thorough analysis Clearly identify the final rating and

provide information for the selection Leave no doubt as to how, what, and

why the rating was developed

Questions?Questions?