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/sci/ - Science & Math

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3114099 No.3114099 [Reply] [Original]

This question was posed during lecture 26 of the Open Yale Ecology and Evolution Lecture, the topic was Population Growth

>In an asexual rabbit population consisting only of females each individual reproduces at an age of 3 months, gives birth to two offspring, then dies
All offspring survive to reproduction
Adult rabbits weigh 1 kg
There is no density dependence
How long will it take to cover Science Hill (138,000 sq. meters) 2 meters deep in rabbits
How long will it take for the leading edge of the expanding ball of fur to exceed the speed of light, and what will be the diameter of the ball at that point, measured in earth orbits?
How long will it take to reach the point of gravitational collapse into a black hole?

Just FYI, an earth orbit is 1.5x10^8 km, density independent mean there are no reaction norms, no checks to population growth, and space is infinite

I have a preliminary answer, just want to clarify with /sci/

>> No.3114120
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3114120

....never. If there is not enough mass on Earth make it collapse upon itself, then there never will be without massive inflows of extraterrestrial objects

>> No.3114138

Fibonacci secuence.

>> No.3114160

>How long will it take to cover Science Hill (138,000 sq. meters) 2 meters deep in rabbits

How tall is a rabbit? Its not supplied in the question, nor is the breed of rabbit. This sounds pretty vague for a complicated sciencey question...

>> No.3114169

If the space on the planet is infinite then the mass of the planet must be infinite as well causing a collapse instantly.

Since the planet is shrunk to a singularity and the rabbits always survive to reproduce you just have to figure out how long it takes for the rabbits to reproduce to a 4m diameter sphere.

And the last is just you know.

>> No.3114195

each rabbit is a perfect square, with half meter dimensions

>>3114169
noted

space is sufficiently abundant

>> No.3114348

mindfuck

after a little under 147 months, that's not even 3 years, a rabbit population, beginning with a population of 1, that grows exponentially with no checks to growth other than suicide upon giving birth, will grow at speeds exceeding the speed of light, with a diameter of 40,000 earth orbits, or roughly 6 x 10^12 km