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Cost Path as Polyline

Available with Spatial Analyst license.


Calculates the least-cost path from a source to a destination as a line feature.

Learn more about creating the least cost path


  • The Cost Path as Polyline tool produces an output polyline feature that records the least-cost path or paths from sources the closest destination defined within the accumulative cost surface, in terms of cost distance.

  • One or more of the weighted cost tools (Cost Distance, Cost Back Link, or Cost Allocation) are generally required to run prior to running Cost Path as Polyline to create the input cost distance and back link rasters. These are mandatory input rasters to Cost Path as Polyline.

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

  • When the source input is a feature, by default, the first valid available field will be used. If no valid fields exist, the ObjectID field (for example, OID or FID, depending on the type of feature input) will be used.

  • When using polygon feature data for the input feature destinations, care must be taken with how the output cell size is handled when it is coarse relative to the detail present in the input. In the internal rasterization process that employs the Polygon to Raster tool, the default setting of Cell assignment type will be Cell center. This means that data not located at the center of the cell will not be included in the intermediate rasterized destination output, and so will not be represented in the distance calculations. For example, if your destinations are a series of small polygons, such as building footprints, that are small relative to the output cell size, it is possible that only a few of them will fall under the centers of the output raster cells, seemingly causing most of the others to be lost in the analysis.

    To avoid this situation, as an intermediate step, you could rasterize the input features directly with the Polygon to Raster tool and set a Priority field. Then use the resulting output as input to the particular distance tool you want to use. Alternatively, you could select a small cell size to capture the appropriate amount of detail from the input features.

  • The output polyline feature has an field called DestID which identifies to which destination each line leads. If the output is written to a file geodatabase then there is an field called shape_length, this field contains the total length of the least cost path.

  • Cost Path as Polyline will ignore the Cell size environment setting and use the cell size of the Input cost backlink raster for the output raster. The pattern of the back link raster would be seriously altered if it were resampled to a different resolution. To avoid any confusion, the cell size should not be set when using this tool.

  • Cost Path as Polyline can also be used to derive the path of least resistance down a digital elevation model (DEM). In this case, use the DEM for the Input cost distance raster and the output from the Flow Direction tool for the Input cost backlink raster. Valid flow direction raster values are 1, 2, 4, 8, 16, 32, 64, and 128; valid values in the back link raster are 1, 2, 3, 4, 5, 6, 7, and 8. Both of these rasters are acceptable.

  • See Analysis environments and Spatial Analyst for additional details on the geoprocessing environments that apply to this tool.


CostPathAsPolyline (in_destination_data, in_cost_distance_raster, in_cost_backlink_raster, out_polyline_features, {path_type}, {destination_field})
ParameterExplanationData Type

A raster or feature dataset that identifies those cells from which the least-cost path is determined to the least costly source.

If the input is a raster, the input consists of cells that have valid values (zero is a valid value), and the remaining cells must be assigned NoData.

Raster Layer; Feature Layer

The cost distance raster to be used to determine the least-cost path from the sources to the destinations.

The cost distance raster is usually created with the Cost Distance, Cost Allocation or Cost Back Link tools. The cost distance raster stores, for each cell, the minimum accumulative cost distance over a cost surface from each cell to a set of source cells.

Raster Layer

The name of a cost back link raster used to determine the path to return to a source via the least-cost path.

For each cell in the back link raster, a value identifies the neighbor that is the next cell on the least accumulative cost path from the cell to a single source cell or set of source cells.

Raster Layer

Output feature class that will hold the least cost path.

Feature Class

A keyword defining the manner in which the values and zones on the input destination data will be interpreted in the cost path calculations.

  • BEST_SINGLE For all cells on the input destination data, the least-cost path is derived from the cell with the minimum of the least-cost paths to source cells.
  • EACH_ZONE For each zone on the input destination data, a least-cost path is determined and saved on the output raster. With this option, the least-cost path for each zone begins at the cell with the lowest cost distance weighting in the zone.
  • EACH_CELL For each cell with valid values on the input destination data, a least-cost path is determined and saved on the output raster. With this option, each cell of the input destination data is treated separately, and a least-cost path is determined for each from cell.

The field used to obtain values for the destination locations.

Input feature data must contain at least one valid field.


Code sample

CostPathAsPolyline example 1 (Python window)

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

import arcpy
from arcpy import env
from import *
env.workspace = "C:/sapyexamples/data"
CostPathAsPolyline("observers", "costraster", "backlink2", "c:/sapyexamples/output/outcostpth01.shp")
CostPathAsPolyline example 2 (stand-alone script)

Calculates the least-cost path from a source to a destination.

# Name:
# Description: Calculates the least-cost path from a source to 
#              a destination.
# Requirements: Spatial Analyst Extension

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

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

# Set local variables
inDestination = "observers.shp"
inCostRaster = "costraster"
inBacklink = "backlink2"
outCostPathFeat = "c:/sapyexamples/output.gdb/outcostpathfeat02"
method = "EACH_CELL"
destField = "FID"

# Check out the ArcGIS Spatial Analyst extension license

# Execute
CostPathAsPolyline(inDestination, inCostRaster, inBacklink, 
                   outCostPathFeat, method, destField)

Licensing information

  • ArcGIS Desktop Basic: Requires Spatial Analyst
  • ArcGIS Desktop Standard: Requires Spatial Analyst
  • ArcGIS Desktop Advanced: Requires Spatial Analyst

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