Replying to Biking on No Biking Trails

Ya i just got reamed out by some guy on this trail near my school that is for hikers only i argued with him for 15 minutes and came to know real conclusion, i was arguing about how the city is super one sided towards hikers because there are no biking trails within like even a 45 minute bike from Uvic Campus and how my use of the trail was doing nothing to erode or hurt other hiking users of the trail.

So my question to you guys is does any body know of any studies or anything where hiking and biking trails are compared for erosion or any reasons why i should or shouldn't be allowed to use those trails?