Predicted abundances for calculated and controlled sexual size Dimorphism at distant latitudes and longitudes in red millipedes Centrobolus cook, 1897

Abstract

Abstract- Solutions in the form of simultaneous equations are given for precited abundances (z) from calculated sexual size dimorphism (SSD) (x) across latitude and longitude in red millipedes Centrobolus. The solution to the simultaneous equation (LATITUDE-SSD-ABUNDANCE SIMULTANEOUS EQUATION) was x=12.6+0.35y-0.35z. The solution to the simultaneous equation (LONGITUDE-SSD-ABUNDANCE SIMULTANEOUS EQUATION) was x=-0.31z-7.31+0.33w. This generated a further simultaneous equation -0.43z+14.9+0.43y=-0.16w-2.87+0.16x which was solved as y=0.08z-56.2+0.92w where the x was the SSD and w, y, and z were longitude, latitude, and the abundance, respectively. When the northern-most, southern-most, eastern-most and western-most species GPS co-ordinates were substituted into these equations the expected abundances were 72.9 (C. immaculatus), 47.3 (C. dubius), and 65.8 (C. promontorius); when SSD was explained. The expected abundances were a similar order of magnitude for different species in this genus. Predicted abundances were marginally related to female moments of inertia across four species (r=-0.82, Z score=-1.63, n=5, p=0.05).