Fibonacci and Bias

Why does the Fibonacci sequence display a bias towards odd numbers?

As the number of terms in the sequence gets larger and large, the ratio off odd terms to even terms approaches 2.

Why is the Fibonacci Sequence a waste of life, #14?  It's seen in the natural world.  I recall that biologists had been noticing that patterns of leaf buddings on branches follow the FS.  If we undertake to better understand the FS, we might better understand plant growth.