No, this is false!
Renewable resources can be syntesized by humans, or not: some of them can, and some can't. This is not what makes them renewable, instead it's the fact that they will still be present in the nature after usage - they will be replaced (the sun will still shine tomorrow even if we harvest its power).
I mean each Animal has a purpose in order to keep the food chain in line, for example sharks if they went extinct there would be more seals and more fish and less of this and that. Each animal plays a certain part on earth in order to keep everything normal.
What happens to the population density and competition if the birth rate decreases?
The birth rate would increase is the population density competition increased.
Hope I helped.
Used by people is the answer. :-)