On the Theory of Explosively Dispersed Seeds

SUMMARY We calculate the theoretical distribution of seed numbers (a probability density function) that would be expected on the ground around a parent plant that disperses its seeds explosively. The initial velocity of the projected seed, and its air resistance are shown to have considerable influence on the maximum dispersal distance, as well as on the angle (the optimum angle of projection) which attains in. All other angles give rise to lesser dispersal distances and their relative frequencies contribute to the shape of the probability density function. The height of release has little influence on the maximum distance, but radically affects the shape of the probability density function. Some practical consequences and biological implications of these results are discussed.