The crown‐gap ratio (C) and crown cover: Derivation and simulation study

Abstract

The crown-gap ratio C is defined as the mean distance between adjacent crowns divided by the mean crown diameter. Previous field studies have established that for a limited range of vegetation stands crown cover is related to C by a general function, viz. crown cover = k/(1 + C)2, where k is a constant. In the present study we investigated the general derivation of the function which relates crown cover to C. The function was then used to determine values for k, a range of point distributions being simulated from semi-regular to clumped, with mixtures of crown sizes. The relationship between crown cover and 1/(1 + C)2 was linear in all cases tested (R2= 1.0). The value of k was shown to depend on the sampling technique used, the degree of clumping, and the range in crown sizes permitted. The variation in k was reduced by using a specific sampling method and limiting the range of spatial distributions and crown sizes considered. The constraints imposed were: 1 Sampling followed a zig-zag transect (Delaunay two-sided model). 2 Point distributions were not overly clumped. 3 The range of crown diameters approximated a Gaussian distribution with a relative range of 1–4. Given these constraints the value of k was determined to be 0.806 with a variance of less than 2%. A table is given to convert values for C into crown cover percentages and, if required, to calculate foliage cover per cent. The constraints imposed are considered to be within conditions normally encountered in the field, making the use of C an accurate and simple method by which to estimate crown or foliage cover per cent.