why do bigger animals use energy more efficiently than smaller ones?

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- anonymous

why do bigger animals use energy more efficiently than smaller ones?

- schrodinger

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- anonymous

\[E=M^{\frac{ 3 }{ 4 }}\]

- anonymous

|dw:1364609079923:dw|

- anonymous

|dw:1364613658132:dw|

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- anonymous

by the way , I think you meant to say
|dw:1364614621701:dw|

- anonymous

it is an equation provided from the fractal study of energy consumption efficiency by mass

- anonymous

because unit for mass and energy doesn't match up hence they can equal each other

- anonymous

http://eeb37.biosci.arizona.edu/~brian/West_Brown_Enquist_1997.pdf
http://research.unm.edu/quantum/quantum05/threequarterpower.html

- anonymous

so our M is not mass :X since mass is small m in physics

- anonymous

http://en.wikipedia.org/wiki/Kleiber's_law
q0 ~ M¾.

- anonymous

Because Bigger animals need more energy to survive and smaller animals don't need as much because of their size.

- anonymous

no… M is still mass in that equation E is the energy consumption in calories? if we say that is the rate of metabolism (q) then what amount of energy required - how much calorie per gram?
I think I stumbled on a very complicated living system processes :/ and may need a decade to get to fully understand

- anonymous

@Nubia9811 we know that bigger animals require more energy, but we are talking about the rate of efficiency. Meaning that big animals, like elephant, use energy more efficient than small ones like mouse. Let us say we need 10,000 mouse to be the same mass of an elephant, the sum of consumption of energy will be higher for the mouse compared to one elephant though they of the same mass.

- anonymous

plot of
e=m^(3/4)
http://www.wolframalpha.com/input/?i=Plot%5Bx%5E%283%2F4%29%2C%7Bx%2C0%2C50%7D%5D

- anonymous

can you do that alongside where E=M?

- anonymous

yes,
http://www.wolframalpha.com/input/?i=Plot%5Bx%2Cx%5E%283%2F4%29%2C%7Bx%2C0%2C5000%7D%5D
of course , we can see , it is much lower as mass increase

- anonymous

- anonymous

yes, we have to look for as mass get really big

- anonymous

now let us focus on the question: why?

- anonymous

that would be a deep question , wouldn't it?

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