How many cats you'd have if you had 1 female and left it with males for 5 years
stu.ie
stu.ie
Here in the northeast US, feral cats (or even indoor cats with a comfy life) will never have two litters in a year. You are guaranteed one per year though. Maybe in Florida things are different.
Most kittens will never survive. We "had" one very feral cat. She would not even touch food we left out, until she was 20 years old and had cataracts in both eyes. Her secret to a long life? Dump all the kittens. Don't even let them nurse if you can help it. She had a dozen litters over the years. Most all died within two months, the lucky few lasted six. We buried all the ones we could find. Only one kitten of all her litters made it past a year.
The half life of a feral kitten is around three months. With a typical litter of five (including the runt who will get abandoned at a few weeks), maybe one will make it past a year. If no one starts feeding the extra cat, it won't even make it that long.
Edit: One final note. The life span and litter size of cats is very close to that of squirrels. True, squirrels have less environmental impact, being herbivores. (But this just means an environment could support an even larger number of squirrels.) The world is not drowning in squirrels (except for maybe Cornell) despite no one ever fixing the squirrels on their property.
http://en.wikipedia.org/wiki/R/K_selection_theory
If you were to do the same calculation with fruit flies, or even bacteria, you'd probably reach the number of atoms in the universe (~ 10^80) in less than five years. For various reasons, the exponential will turn into a logistic curve pretty soon (unstated assumptions of the article include the availability of food, water, space and the absence of predators).
Oh, and what if we assume that the cats can or will eat each other, or corpses of other cats?
Getting 10,000 cats to breed optimally--pretty much impossible. Heck, try getting three of them to optimally not fight each other for a week at a time.
It's pretty much a fantasy, madeup statistic.
Wish the author would post source code.
http://www.alleycat.org/NetCommunity/Page.aspx?pid=388
(If you feed strays without also pursuing trap/neuter/release you may be just multiplying the misery.)