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The estimation formula used:

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where:

Pest(t) is the estimated value at the test station at time t

Pi(t) is the measured value at neighbour station i at time t

Di is the distance between the test station and the neighbour station i

N is the number of neighbour stations taken into account

b is the power of distance D, (default b=2)

Test criteria

The test criterion with an absolute threshold is exceeded when the following condition fails:

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The test criterion with relative threshold is exceeded when the following condition fails:

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with:

b the admissable absolute difference

Xrel the multiplier of the standard deviation

 

SPest(t)

the standard deviation of neighbouring values

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Configuration

  • id: identifier of the check.
  • variableDefinition: embedded variable definition (see above).
  • inputVariableId: One or more identifiers for variables of which the flags have to be used.
  • outputVariableId: One or more identifiers for variables for which the flags have to be modified.
  • searchRadius: The maximum radius for selecting reference locations in meters.

...

A configuration example for the spatialHomogeneityCheck is given below:

Code Block

<?xml version="1.0" encoding="UTF-8"?>
<secondaryValidation xmlns="http://www.wldelft.nl/fews" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.wldelft.nl/fews http://fews.wldelft.nl/schemas/version1.0/secondaryValidation.xsd">

	<variableDefinition>
		<variableId>spatialHomogeneityCheck_location1</variableId>
		<timeSeriesSet>
			<moduleInstanceId>SpatialHomogeneityCheck</moduleInstanceId>
			<valueType>scalar</valueType>
			<parameterId>H.obs</parameterId>
			<locationId>location1</locationId>
			<timeSeriesType>external historical</timeSeriesType>
			<timeStep unit="minute" multiplier="15"/>
			<readWriteMode>read complete forecast</readWriteMode>
		</timeSeriesSet>
	</variableDefinition>

	<variableDefinition>
		<variableId>spatialHomogeneityCheck_location2</variableId>
		<timeSeriesSet>
			<moduleInstanceId>SpatialHomogeneityCheck</moduleInstanceId>
			<valueType>scalar</valueType>
			<parameterId>H.obs</parameterId>
			<locationId>location2</locationId>
			<timeSeriesType>external historical</timeSeriesType>
			<timeStep unit="minute" multiplier="15"/>
			<readWriteMode>read complete forecast</readWriteMode>
		</timeSeriesSet>
	</variableDefinition>

	<variableDefinition>
		<variableId>spatialHomogeneityCheck_location3</variableId>
		<timeSeriesSet>
			<moduleInstanceId>SpatialHomogeneityCheck</moduleInstanceId>
			<valueType>scalar</valueType>
			<parameterId>H.obs</parameterId>
			<locationId>location3</locationId>
			<timeSeriesType>external historical</timeSeriesType>
			<timeStep unit="minute" multiplier="15"/>
			<readWriteMode>read complete forecast</readWriteMode>
		</timeSeriesSet>
	</variableDefinition>

	<variableDefinition>
		<variableId>spatialHomogeneityCheck_location4</variableId>
		<timeSeriesSet>
			<moduleInstanceId>SpatialHomogeneityCheck</moduleInstanceId>
			<valueType>scalar</valueType>
			<parameterId>H.obs</parameterId>
			<locationId>location4</locationId>
			<timeSeriesType>external historical</timeSeriesType>
			<timeStep unit="minute" multiplier="15"/>
			<readWriteMode>read complete forecast</readWriteMode>
		</timeSeriesSet>
	</variableDefinition>

	<variableDefinition>
		<variableId>spatialHomogeneityCheck_location5</variableId>
		<timeSeriesSet>
			<moduleInstanceId>SpatialHomogeneityCheck</moduleInstanceId>
			<valueType>scalar</valueType>
			<parameterId>H.obs</parameterId>
			<locationId>location5</locationId>
			<timeSeriesType>external historical</timeSeriesType>
			<timeStep unit="minute" multiplier="15"/>
			<readWriteMode>read complete forecast</readWriteMode>
		</timeSeriesSet>
	</variableDefinition>

	<variableDefinition>
		<variableId>spatialHomogeneityCheck_location6</variableId>
		<timeSeriesSet>
			<moduleInstanceId>SpatialHomogeneityCheck</moduleInstanceId>
			<valueType>scalar</valueType>
			<parameterId>H.obs</parameterId>
			<locationId>location6</locationId>
			<timeSeriesType>external historical</timeSeriesType>
			<timeStep unit="minute" multiplier="15"/>
			<readWriteMode>read complete forecast</readWriteMode>
		</timeSeriesSet>
	</variableDefinition>

	<variableDefinition>
		<variableId>spatialHomogeneityCheck_location7</variableId>
		<timeSeriesSet>
			<moduleInstanceId>SpatialHomogeneityCheck</moduleInstanceId>
			<valueType>scalar</valueType>
			<parameterId>H.obs</parameterId>
			<locationId>location7</locationId>
			<timeSeriesType>external historical</timeSeriesType>
			<timeStep unit="minute" multiplier="15"/>
			<readWriteMode>read complete forecast</readWriteMode>
		</timeSeriesSet>
	</variableDefinition>

	<variableDefinition>
		<variableId>spatialHomogeneityCheck_location8</variableId>
		<timeSeriesSet>
			<moduleInstanceId>SpatialHomogeneityCheck</moduleInstanceId>
			<valueType>scalar</valueType>
			<parameterId>H.obs</parameterId>
			<locationId>location8</locationId>
			<timeSeriesType>external historical</timeSeriesType>
			<timeStep unit="minute" multiplier="15"/>
			<readWriteMode>read complete forecast</readWriteMode>
		</timeSeriesSet>
	</variableDefinition>

	<variableDefinition>
		<variableId>spatialHomogeneityCheck_location9</variableId>
		<timeSeriesSet>
			<moduleInstanceId>SpatialHomogeneityCheck</moduleInstanceId>
			<valueType>scalar</valueType>
			<parameterId>H.obs</parameterId>
			<locationId>location9</locationId>
			<timeSeriesType>external historical</timeSeriesType>
			<timeStep unit="minute" multiplier="15"/>
			<readWriteMode>read complete forecast</readWriteMode>
		</timeSeriesSet>
	</variableDefinition>

	<variableDefinition>
		<variableId>spatialHomogeneityCheck_location10</variableId>
		<timeSeriesSet>
			<moduleInstanceId>SpatialHomogeneityCheck</moduleInstanceId>
			<valueType>scalar</valueType>
			<parameterId>H.obs</parameterId>
			<locationId>location10</locationId>
			<timeSeriesType>external historical</timeSeriesType>
			<timeStep unit="minute" multiplier="15"/>
			<readWriteMode>read complete forecast</readWriteMode>
		</timeSeriesSet>
	</variableDefinition>

	<variableDefinition>
		<variableId>spatialHomogeneityCheck_location11</variableId>
		<timeSeriesSet>
			<moduleInstanceId>SpatialHomogeneityCheck</moduleInstanceId>
			<valueType>scalar</valueType>
			<parameterId>H.obs</parameterId>
			<locationId>location11</locationId>
			<timeSeriesType>external historical</timeSeriesType>
			<timeStep unit="minute" multiplier="15"/>
			<readWriteMode>read complete forecast</readWriteMode>
		</timeSeriesSet>
	</variableDefinition>

	<spatialHomogeneityCheck id="spatialHomogeneityCheck">
		<inputVariableId>spatialHomogeneityCheck_location1</inputVariableId>
		<inputVariableId>spatialHomogeneityCheck_location2</inputVariableId>
		<inputVariableId>spatialHomogeneityCheck_location3</inputVariableId>
		<inputVariableId>spatialHomogeneityCheck_location4</inputVariableId>
		<inputVariableId>spatialHomogeneityCheck_location5</inputVariableId>
		<inputVariableId>spatialHomogeneityCheck_location6</inputVariableId>
		<inputVariableId>spatialHomogeneityCheck_location7</inputVariableId>
		<inputVariableId>spatialHomogeneityCheck_location8</inputVariableId>
		<inputVariableId>spatialHomogeneityCheck_location9</inputVariableId>
		<inputVariableId>spatialHomogeneityCheck_location10</inputVariableId>
		<inputVariableId>spatialHomogeneityCheck_location11</inputVariableId>
		<outputVariableId>spatialHomogeneityCheck_location1</outputVariableId>
		<outputVariableId>spatialHomogeneityCheck_location3</outputVariableId>
		<outputVariableId>spatialHomogeneityCheck_location5</outputVariableId>
		<outputVariableId>spatialHomogeneityCheck_location7</outputVariableId>
		<outputVariableId>spatialHomogeneityCheck_location9</outputVariableId>
		<outputVariableId>spatialHomogeneityCheck_location11</outputVariableId>
		<searchRadius>100000</searchRadius>
		<numberOfPoints>4</numberOfPoints>
		<distancePower>2</distancePower>
		<threshold>
			<absolute>3</absolute>
			<outputFlag>unreliable</outputFlag>
			<logLevel>WARN</logLevel>
			<logEventCode>SecondaryValidation.spatialHomogeneityCheck</logEventCode>
			<logMessage>%AMOUNT_CHANGED_FLAGS% flags set to %OUTPUT_FLAG% by %CHECK_ID%, header=%HEADER%, location(s)=%LOCATION_NAME%</logMessage>
		</threshold>
		<threshold>
			<relative>2</relative>
			<outputFlag>doubtful</outputFlag>
			<logLevel>INFO</logLevel>
			<logEventCode>SecondaryValidation.spatialHomogeneityCheck</logEventCode>
			<logMessage>%AMOUNT_CHANGED_FLAGS% flags set to %OUTPUT_FLAG% by %CHECK_ID%, header=%HEADER%, location(s)=%LOCATION_NAME%</logMessage>
		</threshold>
	</spatialHomogeneityCheck>

</secondaryValidation>