Draft:Sauls theorem

Saul's Theorem Saul's Theorem is a hypothetical principle formulated to predict the likelihood of a vehicle striking a deer (or similar animal) on a road, specifically as a function of the vehicle's speed. While not formally established in real-world scientific literature, the concept has been used in academic exercises, safety planning discussions, and illustrative models to describe the interaction between vehicular dynamics, wildlife behavior, and road safety.

Background The principle is attributed to the growing interest in wildlife-vehicle collisions (WVCs), which are significant contributors to road safety concerns, particularly in areas where roads intersect with animal habitats. Saul’s Theorem aims to offer an analytical framework to calculate the probability of such collisions by incorporating variables like speed and animal behavior patterns. The theorem is primarily a statistical construct and theoretical model rather than a law of nature. It emphasizes how increasing vehicular speed diminishes the chance of hitting a deer. In simple terms, the deer you could have hit, you would miss if you went faster. The driver would have been past that crashing point already, therefore preventing a crash.

Formulation of the Theorem

The theorem is defined by Delta = (SC*t)/S Where Delta = Deer SC = Saul's constant = 781.1e-7 S = Speed

The constant is found by the average collision rate of deer out of 128 people going 100km/h for 1 hour. This Theorem is still in the act of becoming a principle, though it shows to be a promising future equation.