Can minimum
convex polygon home ranges be used to draw biologically meaningful conclusions?.
Explanations: n, number of individuals; SD, standard deviation; [MCP.sub.95], 95 % minimum
convex polygon; [KDE.sub.95], 95 % Kernel density estimation; [KDE.sub.80], 80 % Kernel density estimation; [KDE.sub.50], 50 % Kernel density estimation.
A comparison of the first-year home range estimates for Bear A calculated by two methods: Minimum
convex polygon (MCP) and Brownian Bridge movement model (BBMM).
Notice that Q is a
convex polygon if and only if all its vertices are convex.
1, which depicts a
convex polygon, and its two horizontal lines of support (lower and upper) at vertices [p.sub.i] and [p.sub.j], respectively.
The remaining part (
convex polygon CEFGH) is the new PLA of [U.sub.m+1].
where [psi]([p.sub.i], A), for i = 1, ..., M, is the proportion to 2[pi] of the external angle of
convex polygon A at [p.sub.i].
The mean distance between whooping crane chick locations was 264.0 (SE = 12.0) m and mean pre-fledged home range for chicks that survived > 10 days was 40.4 (SE = 11.8) ha (range: 1.6-127.2 ha) and 50.4 (SE = 11.0) ha (range: 3.5-116.3 ha) using the harmonic mean (95%) and minimum
convex polygon (100%) methods, respectively.
We used 2 methods to calculate space use by moose: minimum
convex polygon (MCP) and utilization distributions (UD) by fixed kernel density estimator.
The diagram formed by outermost points is open region, while the diagram formed by the other points is
convex polygon.
Use of space was evaluated by daily home range (DHR) using the Minimum
Convex Polygon method, path tortuosity using Fractal D, and percentage of vertical use.
(a) Proposition 1 leads to a computational formula for the mean wedge volume of a
convex polygon (Corollary 1) which is much simpler than Eq.