Home Range Calculator
Estimate animal home range area using a simplified Minimum Convex Polygon (MCP) method from maximum observed distance.
About this calculator
This calculator approximates the classic Minimum Convex Polygon (MCP) home-range method with a circle: it treats Max Distance from Center as the radius of a circular home range and computes area as π times that radius squared, rather than fitting an actual convex polygon around the real relocation points. Max Distance from Center is therefore the only input that determines MCP Home Range, Home Range, and Home Range Perimeter -- since area scales with the square of the radius, doubling the distance quadruples the estimated area. The Half of MCP Area figure is exactly 50% of the polygon by area.
It is a geometric reference only -- it is NOT the "50% core area" of the wildlife literature, which is the 50% isopleth of the utilization distribution (the region holding half the animal's use) and is typically only about 10-20% of the total home range, not half of it. Observation Points does not affect the geometric area calculation at all -- it only feeds Sample Adequacy (a qualitative rating of whether enough relocations were collected, with 30+ generally considered a reliable minimum for MCP) and a rough upward adjustment applied to Sample-Corrected Area for small sample sizes, since an MCP built from too few points systematically underestimates the true home range and its area keeps rising until roughly 100 relocations. Treat this circular approximation as a quick estimate -- an actual MCP or kernel-density estimate from real GPS coordinates in dedicated wildlife-tracking software will differ, usually substantially, from a circle-based figure.
Inputs
Results
MCP Home Range
19.64 km²
How to Use This Calculator
- Enter Max Distance from Center (km) from GPS or telemetry data.
- Input the number of Observation Points (locations) collected.
- Review MCP Home Range (km² and hectares), a circular approximation of the true home range.
- Compare Half of MCP Area with your polygon total as a geometric reference -- a true 50%-utilization core area requires a kernel-density estimate, not a circle.
- Use Sample Adequacy and Sample-Corrected Area to judge whether more data points are needed.
How the result changes with Max Distance from Center
| Max Distance from Center | MCP Home Range |
|---|---|
| 1.25 | 4.91 km² |
| 1.88 | 11.1 km² |
| 3.75 | 44.18 km² |
| 6.25 | 122.72 km² |
What each input means
- Max Distance from Center
- Radius: the maximum distance from the animal's centre of activity to its farthest relocation, in km. If you only have the greatest distance BETWEEN two relocation points, enter half of it.
- Observation Points
- Total number of GPS fixes or relocations recorded. At least 30 points recommended for reliable MCP estimates.
How this is calculated
Worked example, using the default values
- Identify Input ParametersMax Distance from Center = 2.5, Observation Points = 50 = 2 input(s) provided
- Calculate MCP Home RangeMCP Home Range19.635 = 19.635
- Calculate Home RangeHome Range1963.5 = 1963.5
- Calculate Half of MCP AreaHalf of MCP Area9.817 = 9.817
Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does doubling Max Distance from Center more than double the home range area?
Area scales with the square of the radius in this circular approximation (Area = π × radius²), so doubling Max Distance from Center quadruples MCP Home Range, not just doubles it. This is standard circle geometry, not a real Minimum Convex Polygon calculation from actual relocation points.
Does adding more Observation Points change the calculated home range area?
No -- the area itself (MCP Home Range, Half of MCP Area, Perimeter) depends only on Max Distance from Center in this circular approximation. Observation Points instead drives Sample Adequacy (whether you've collected enough relocations for a reliable estimate) and the Sample-Corrected Area, which inflates the raw estimate when the sample size is small.
How many observation points do I need for a reliable estimate?
This calculator treats 30 or more relocations as generally adequate for a Minimum Convex Polygon estimate, with ratings from Marginal (15-29) up to Excellent (100+). Below 100 points, Sample-Corrected Area applies an upward adjustment, since MCP estimates built from too few points systematically underestimate the animal's true home range.
How accurate is a circular approximation compared to a real MCP?
Treat it as a quick, order-of-magnitude estimate rather than a precise figure. A real animal's home range is rarely circular -- it follows terrain, resources, and movement corridors -- so an actual Minimum Convex Polygon or kernel-density estimate computed from real GPS coordinates in dedicated wildlife-tracking software will typically differ substantially from this circle-based approximation.
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