Alternative equations to estimate the surface-to-volume ratio of different forest fuel particles
Surface-to-volume ratio is an important fuel descriptor. Surface-to-volume ratio quantification methods currently used are specific and their accuracy varies with fuel types. In this work, we developed a geometric surface-to-volume ratio estimation method based on the perimeter-to-area ratio concept. Dimensions of leaves, twigs and needles of Moroccan tree and shrub species were measured. Our findings are: (i) the thickness of a leaf is variable along its width and length, and its average cross-section is located at its mid-length; (ii) a formula to calculate the ellipse perimeter was established using an elongation coefficient e, determined on the basis of the cross-section thickness and width; and (iii) one general surface-to-volume ratio formula was developed, from which five other equations were derived, according to the specific characteristics of each fuel type, for twigs, leaves, needles with semi-elliptical cross-section, needles with crescent cross-section shape, and needles with cross-section representing half or a sector of a circle respectively. Surface-to-volume ratio values obtained with the developed equations were compared with the currently published data.