No need to fear bobcats... humans are hardly their prey (they like rabbit). It's common for mountain bikers (like me) to ride along side a loping bobcat. Always cool to see however.
Now if you happen to ride up to a mountain lion, I would be alittle more nervous (although miost could care less about us humans - they like deer).
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Private docent led mountain bike rides through Limestone Canyon. Go to
letsgooutside.org and register today! Also available: hikes, equestrian rides and family events as well as trail maintenance and science study.