Mapping Estimation with Mapping Estimation with BMEGUIBMEGUI

Prahlad JatPrahlad Jat(1)(1) and Marc Serre and Marc Serre(1)(1)

(1) University of North Carolina at Chapel (1) University of North Carolina at Chapel HillHill

AgendaAgenda

► IntroductionIntroduction►Analysis Using Soft DataAnalysis Using Soft Data►BME EstimationBME Estimation► Interaction with ArcGISInteraction with ArcGIS

IntroductionIntroduction

Temporal GIS analysis Temporal GIS analysis processprocess

Read Data File

Check Data Distribution

Exploratory Data Analysis

Mean Trend Analysis

Covariance Analysis

BME Analysis

Data Field Screen

Data Distribution Screen

Exploratory Data Analysis ScreenMean Trend Analysis ScreenSpace/Time Covariance Analysis Screen

BME Estimation Screen

BME Estimation ScreenBME Estimation Screen

►Time series of BME mean estimation Time series of BME mean estimation ►Map of BME mean estimationMap of BME mean estimation►Map of BME error varianceMap of BME error variance

Analysis Using Soft DataAnalysis Using Soft Data

Data File with Soft DataData File with Soft Data

►Use five data columnsUse five data columns- Data TypeData Type- Value1 Value1 - Value2- Value2- Value3 - Value4 Value3 - Value4

►Data Type fieldData Type field Specify data types (Hard/Uniform/Gaussian/ Specify data types (Hard/Uniform/Gaussian/

Triangular /Truncated Gaussian)Triangular /Truncated Gaussian)

►Value1, Value2, Value3, and Value4 fieldsValue1, Value2, Value3, and Value4 fields Soft data parametersSoft data parameters

Data TypesData Types► Hard DataHard Data

Data Type: 0Data Type: 0 Value1&2 Fields: Data ValueValue1&2 Fields: Data Value

► Soft Data (Uniform)Soft Data (Uniform) Data Type: 1Data Type: 1 Value1 Field: Lower BoundValue1 Field: Lower Bound Value2 Field: Upper BoundValue2 Field: Upper Bound Value3 & 4 Field: DummyValue3 & 4 Field: Dummy

► Soft Data (Gaussian)Soft Data (Gaussian) Data Type: 2Data Type: 2 Value1 Field: MeanValue1 Field: Mean Value2 Field: Standard DeviationValue2 Field: Standard Deviation Value3 & 4 Fields: DummyValue3 & 4 Fields: Dummy

Data TypesData Types► Soft Data (Triangular)Soft Data (Triangular)

Data Type: 1Data Type: 1 Value1 Field: Lower BoundValue1 Field: Lower Bound Value2 Field: Upper BoundValue2 Field: Upper Bound Value3 Field: ModeValue3 Field: Mode Value4 Field: DummyValue4 Field: Dummy

► Soft Data (Trunc. Gaussian)Soft Data (Trunc. Gaussian) Data Type: 4Data Type: 4 Value1 Field: MeanValue1 Field: Mean Value2 Field: Standard DeviationValue2 Field: Standard Deviation Value3 Field: Lower Trunc.ValueValue3 Field: Lower Trunc.Value Value4 Field: Upper Trunc. valueValue4 Field: Upper Trunc. value

Data File ExampleData File Example

Data Type: 1 (Uniform)

Lower Bound: 24.5

Upper Bound: 51.45

Data Type: 2 (Gaussian)

Mean: 18.1

Standard Dev: 38.01

Data File ExampleData File Example

Use Data TypeUse Data Type

► To use soft data, check “Use DataType”To use soft data, check “Use DataType”► Set “Data Type”, “Value1 Field”, and Set “Data Type”, “Value1 Field”, and

“Value2 Field”“Value2 Field”

Hardened DataHardened Data

► Histogram/Basic Histogram/Basic statisticsstatistics

► Soft data is “hardened”Soft data is “hardened” Uniform – Mid-pointUniform – Mid-point Gaussian – Mean valueGaussian – Mean value Std. formulas for othersStd. formulas for others

► ““Hardened” values are Hardened” values are used inused in HistogramHistogram Explanatory data analysisExplanatory data analysis Mean trend estimationMean trend estimation Experimental covariance Experimental covariance

calculationcalculation

Exploratory Data AnalysisExploratory Data Analysis

► ““Hardened” data is usedHardened” data is used► ““Temporal Evolution” tabTemporal Evolution” tab

Hard data: Blue circleHard data: Blue circle Soft data: red triangle Soft data: red triangle

Soft Data

Hard Data

BME EstimationBME Estimation

BME Estimation ScreenBME Estimation Screen

►Map of BME mean estimationMap of BME mean estimation►Map of BME error varianceMap of BME error variance►Time series of BME mean estimation Time series of BME mean estimation

Spatial/Temporal estimationSpatial/Temporal estimation

► Spatial/Temporal Distribution TabsSpatial/Temporal Distribution Tabs BME estimation map at specific timeBME estimation map at specific time BME estimation time series at specific stationBME estimation time series at specific station

► Each tab contains sub-tab displaying the Each tab contains sub-tab displaying the list of plotslist of plots

BME Estimation ParametersBME Estimation Parameters

►Spatial Estimation (Map)Spatial Estimation (Map) BME ParametersBME Parameters Estimation GridEstimation Grid Display GridDisplay Grid

►Temporal Estimation (Time Series)Temporal Estimation (Time Series) BME ParametersBME Parameters Estimation ParametersEstimation Parameters Display ParameterDisplay Parameter

BME ParametersBME Parameters

►Five parameters for BME estimationFive parameters for BME estimation Maximum Spatial DistanceMaximum Spatial Distance Maximum Temporal DistanceMaximum Temporal Distance Space/Time MetricSpace/Time Metric Max. Number of Data Point Max. Number of Data Point OrderOrder

►BMEGUI calculates default parameters BMEGUI calculates default parameters based on the covariance modelbased on the covariance model

Parameters for Spatial Parameters for Spatial EstimationEstimation

►Estimation GridEstimation Grid Estimation TimeEstimation Time Number of estimation point (X and Y)Number of estimation point (X and Y) Area of estimation gridArea of estimation grid Include Data Points/Voronoi PointsInclude Data Points/Voronoi Points

►Display GridDisplay Grid Number of display point (X and Y)Number of display point (X and Y)

Estimation GridEstimation Grid

Data Points Estimation Grid Volonoi Points

Display GridDisplay Grid

Estimation Points Display Grid

BME Spatial EstimationBME Spatial Estimation

► Input parameters, then click Input parameters, then click “Estimate” button“Estimate” button

BME parameters

Estimation Grid

Display Grid

“Estimate” button

Maps of BME Mean Estimate and Maps of BME Mean Estimate and BME Error VarianceBME Error Variance

►Two new tabsTwo new tabs Plot ID: xxxx(Mean)Plot ID: xxxx(Mean) Plot ID: xxxx(Error)Plot ID: xxxx(Error)

►New entry in the listNew entry in the list(Plot ID, EstimationTime)(Plot ID, EstimationTime)

Maps of BME Mean Estimate and Maps of BME Mean Estimate and BME Error VarianceBME Error Variance

Close Map TabsClose Map Tabs

►Select the tab you want to closeSelect the tab you want to close►Click “Close Tab” buttonClick “Close Tab” button

Redraw MapsRedraw Maps

►Select the plot from the listSelect the plot from the list►Click “Show” buttonClick “Show” button

Remove MapsRemove Maps

►Select the plot from the listSelect the plot from the list►Click “Delete” buttonClick “Delete” button

Parameters for Temporal Parameters for Temporal EstimationEstimation

►Estimation ParametersEstimation Parameters Station IDStation ID Estimation PeriodEstimation Period

►Display ParameterDisplay Parameter Scaling FactorScaling Factor

BME Temporal EstimationBME Temporal Estimation

► Input parameters, then click Input parameters, then click “Estimate” button“Estimate” button

BME parameters

Estimation Parameters

Display Parameter

“Estimate” button

Time Series of BME Mean Time Series of BME Mean EstimateEstimate

►One new tabOne new tab Plot ID: xxxxPlot ID: xxxx

►New entry in the listNew entry in the list

(Plot ID, Station ID)(Plot ID, Station ID)

Time Series of BME Mean Time Series of BME Mean EstimateEstimate

►Solid line: BME Mean EstimateSolid line: BME Mean Estimate►Dotted line: Upper/Lower Bound (67% Dotted line: Upper/Lower Bound (67%

CI)CI)►Data Points (Hard/Uniform/Gaussian)Data Points (Hard/Uniform/Gaussian)

Scale FactorScale Factor

► Change the scale of Change the scale of Gaussian type soft Gaussian type soft data to adjust the data to adjust the size on the plotsize on the plot

Scale Factor = 0.1

Scale Factor = 1.0

Interaction with ArcGISInteraction with ArcGIS

Interaction with ArcGISInteraction with ArcGIS

►Point Layer FilePoint Layer File Exploratory Data Analysis (Spatial Exploratory Data Analysis (Spatial

Distribution)Distribution) Mean Trend Analysis (Raw/Smoothed Mean Mean Trend Analysis (Raw/Smoothed Mean

Trend)Trend) BME Mean/Error Estimation (Estimation Grid)BME Mean/Error Estimation (Estimation Grid)

►Raster File (ArcASCII)Raster File (ArcASCII) BME Mean EstimationBME Mean Estimation BME Error EstimationBME Error Estimation

►All files will be created in “Workspace”All files will be created in “Workspace”

Create Point LayerCreate Point Layer

Create Point Layer / RasterCreate Point Layer / Raster

1. Select Plot

2. Plot Button

ArcGIS FilesArcGIS Files

►Exploratory Analysis (Spatial Distribution)Exploratory Analysis (Spatial Distribution) Vector data file (.csv)Vector data file (.csv)

►Mean TrendMean Trend Vector data file (.csv)Vector data file (.csv) Vector data file (.csv)Vector data file (.csv)

►BME EstimationBME Estimation Vector data file (.csv): Estimation PointVector data file (.csv): Estimation Point ArcASCII : BME Mean RasterArcASCII : BME Mean Raster ArcASCII : BME Error Variance RasterArcASCII : BME Error Variance Raster