Punctuated Equilibrium

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   Aya Katzposted 14 years ago

   Does anyone know of a mathematical model for the theory of punctuated equilibrium in evolution?

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      tantrumposted 14 years agoin reply to this

      Not on a Sunday

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   \Brenda Scullyposted 14 years ago

   ask him tomorrow he will be able to answer ..... monday he is a genius

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      tantrumposted 14 years agoin reply to this

        Thank you brenda ! I knew you knew all about me!

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         \Brenda Scullyposted 14 years agoin reply to this

         of course i do

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   Aya Katzposted 14 years ago

   Sure. No problem. It can wait till Monday!

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   Aya Katzposted 14 years ago

   I found this paper:
   
   http://cogprints.org/5903/1/newresil3.pdf

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   Lisa HWposted 14 years ago

   Aya, I've always assumed that the Mandelbrot Set was at the root of all evolution, with either the "starting make-up of Z" or else some element of C determining the rate at which changes would occur.  I would think that the metabollic rate of any animal is built into the Z, but we can imagine how the C would eventually lead to changes (slowing down) as any animals a) matures individually and b) advanced as a more "developed" species.
   
   http://www.cygnus-software.com/theory/theory.htm

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   Aya Katzposted 14 years ago

   Lisa, thanks for the input.
   
   I'm actually interested more in the external effects on change in a species than in any internal structural building blocks.
   
   I was trying to find a correlation between equilibrium in evolutionary development (the periods of stasis) and equilibrium in an economic system.
   
   According to the punctuated equilibrium model, evolution does not develop gradually. There are long periods when species remain exactly the same. Then, under the pressure of events, rapid speciation occurs.
   
   It seems the economy is given to the same sorts of record breaking events followed by long periods of seeming stability.

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   Teresa McGurkposted 14 years ago

   My life has been a model of punctuated equilibrium.
   Or equi-libations and punctuation.  I forget which.

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      Lisa HWposted 14 years agoin reply to this

          I know what you mean about that.   

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      Aya Katzposted 14 years agoin reply to this

      Teresa, yes, I think all our lives are a little bit like that!

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   Lisa HWposted 14 years ago

   Aya, the way I think I'm seeing the Mandelbrot Set apply is that it would apply to the big picture - from external on down to internal.  If one thinks of the simple formula it does show how gradual (or dramatic) changes take place.  What it doesn't show, of course, is exactly what "every little element of C" is. 
   
   I would think that the difference between punctuated evolution (of anything) versus a more gradual process would depend on (to put it in super-simple terms) the "size" and/or complexity and/or make-up of "C".  Again, though, this only demonstrates the process by which change occurs, as opposed to showing the exact "elements" of it.
   
   If you use human beings as an example, you can start "out at the universe", go "down to society" and then "down to more immediate external and internal factors" that would make up the "C" in any human being (including all the way "down" to cell growth and genes).

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      Aya Katzposted 14 years agoin reply to this

      Definitely "size" is an issue -- turning something that was merely quantitative into a qualitative difference.

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   ralwusposted 14 years ago

   I don't know, but will this help you?
   http://www.isr.syr.edu/vplab/Evo_models.htm

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      Aya Katzposted 14 years agoin reply to this

      Ralwus, thanks! That does seem to be directly on point.

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    ralwusposted 14 years ago

    Am tickled to have genuinely been of service to you.

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