# Euclidean Allocation (Spatial Analyst)

## Summary

Calculates, for each cell, the nearest source based on Euclidean distance.

## Illustration

 Euc_Alloc = EucAllocation(Source_Ras)

## Usage

• The input source data can be a feature class or raster.

• When the input source data is a raster, the set of source cells consists of all cells in the source raster that have valid values. Cells that have NoData values are not included in the source set. The value 0 is considered a legitimate source. A source raster can be easily created using the extraction tools.

• When the input source data is a feature class, the source locations are converted internally to a raster before performing the Euclidean analysis. The resolution of the raster can be controlled with the Output cell size parameter.

• The Maximum distance is specified in the same map units as the input source data.

• The input value raster is useful if the input raster or feature source data is a raster derived from a function that results in either one or zero. These functions lose their original zone values associated with the source cell locations. The input value raster can either restore these values or allow analysis on additional combinations of zone values within the source cells.

• If an input value raster is used, it may change the configuration and results of the Euclidean allocation output. It will not affect the optional Euclidean distance or direction results.

• If a Mask has been set in the environment and the cells to be masked will mask a source, the Euclidean calculations will occur on the remaining source cells. The source cells that are masked will not be considered in the computations. These cell locations will be assigned NoData on the output rasters.

• The NoData values created by the masked cells are ignored in the calculations on non-source cell locations. The Euclidean distance for cells behind NoData values is calculated as if the NoData value is not present. Any cell location that is assigned NoData because of the mask on the input surface will receive NoData on all the output rasters.

## Syntax

EucAllocation (in_source_data, {maximum_distance}, {in_value_raster}, {cell_size}, {source_field}, {out_distance_raster}, {out_direction_raster})
 Parameter Explanation Data Type in_source_data The input source locations. This is a raster or feature dataset that identifies the cells or locations to which the Euclidean distance for every output cell location is calculated.For rasters, the input type can be integer or floating point. If the input source raster is floating point, the {in_value_raster} must be set, and it must be of integer type. The value raster will take precedence over any setting of the {source_field}. Raster Layer | Feature Layer maximum_distance(Optional) Defines the threshold that the accumulative distance values cannot exceed.If an accumulative Euclidean distance value exceeds this value, the output value for the cell location will be NoData.The default distance is to the edge of the output raster. Double in_value_raster(Optional) The input integer raster that identifies the zone values that should be used for each input source location.For each source location (cell or feature), the value defined by the {in_value_raster} will be assigned to all cells allocated to the source location for the computation. The value raster will take precedence over any setting for the {source_field}. Raster Layer cell_size(Optional) The cell size at which the output raster will be created.This will be the value in the environment if it is explicitly set. If it is not set in the environment, the default cell size will depend on if the input source data is a raster or a feature, as follows: If the source is raster, the output will have that same cell size. If the source is feature, the output will have a cell size determined by the shorter of the width or height of the extent of input feature, in the input spatial reference, divided by 250. Analysis Cell Size source_field(Optional) The field used to assign values to the source locations. It must be integer type.If the {in_value_raster} has been set, the values in that input will have precedence over any setting for the {source_field}. Field out_distance_raster(Optional) The output Euclidean distance raster.The distance raster identifies, for each cell, the Euclidean distance to the closest source cell, set of source cells, or source location.The output raster is of floating point type. Raster Dataset out_direction_raster(Optional) The output Euclidean direction raster.The direction raster contains the calculated direction, in degrees, each cell center is from the closest source cell center. The range of values is from 0 degrees to 360 degrees, with 0 reserved for the source cells. Due east (right) is 90, and the values increase clockwise (180 is south, 270 is west, and 360 is north).The output raster is of integer type. Raster Dataset

#### Return Value

 Name Explanation Data Type out_allocation_raster The output Euclidean allocation raster. The cell values (zones) identify the nearest source location.The output raster is of integer type. Raster

## Code Sample

EucAllocation example 1 (Python window)

The following Python Window script demonstrates how to use the EuclideanAllocation tool.

```import arcpy
from arcpy import env
from arcpy.sa import *
env.workspace = "C:/sapyexamples/data"
eucAllocate = EucAllocation("observers", 50000, "elevation", 25, "FID",
"c:/sapyexamples/output/outeucdist",
"c:/sapyexamples/output/outeucdir")
eucAllocate.save("c:/sapyexamples/output/eucalloc")```
EucAllocation example 2 (stand-alone script)

Calculates, for each cell, the zone of the closest source location in Euclidean distance.

```# Name: EucAllocation_Ex_02.py
# Description: Calculates, for each cell, the zone of the closest
#              source location in Euclidean distance.
# Requirements: Spatial Analyst Extension
# Author: ESRI

# Import system modules
import arcpy
from arcpy import env
from arcpy.sa import *

# Set environment settings
env.workspace = "C:/sapyexamples/data"

# Set local variables
inSource = "observers.shp"
maxDist = 50000
valRaster = "elevation"
cellSize = 25
sourceField = "FID"
optOutDist = "c:/sapyexamples/output/outeucdist02"
optOutDir = "c:/sapyexamples/output/outeucdir02"

# Check out the ArcGIS Spatial Analyst extension license
arcpy.CheckOutExtension("Spatial")

# Execute EucAllocation
eucAllocate = EucAllocation(inSource, maxDist, valRaster, cellSize,
sourceField, optOutDist, optOutDir)

# Save the output
eucAllocate.save("c:/sapyexamples/output/eucalloc02")```

## Licensing Information

ArcView: Requires Spatial Analyst
ArcEditor: Requires Spatial Analyst
ArcInfo: Requires Spatial Analyst

6/29/2011