[FRIAM] recap on Rosen
Marcus G. Daniels
marcus at snoutfarm.com
Sat Apr 26 10:44:46 EDT 2008
phil henshaw wrote:
> Ok, 'find a function' assumes there is one to find, but the problem set is
> running into behavior which has already had major consequences (like
> starvation for 100million people because of an unexpected world food price
> level shift) and the question is what 'function' would you use to not be
> caught flat footed like that.
The caloric requirements of a person are autocorrelated, but probably
for a lot of models a constant will suffice -- a certain amount of body
weight decrease, and then the probability of death goes up. As for
price fluctuations, that's a matter of modeling the natural resources
that go in to food, the costs and benefits to motivate farmers, the
commodity markets, and so on. Certainly we can try to understand how
each of these work, and then do what-if scenarios when one or more
components are perturbed (or destroyed). It's still a matter of
finding stories (functions) to fit observables. The availability and
accuracy of those observables may be poor, and sometimes all that is
possible to imagine worst and best cases, run the numbers, and see how
the result changes.
> Is there some general function to use in
> cases where you have no function and don't even know what the problem
> definition will be?
>
I think you do know what the problem could look like, but most details
remain unspecified. If you can construct an example that has
catastrophes of the kind you often talk about, and spell out all of the
details of your work of fiction (that even may happen to resemble
reality), such that the what-if scenarios can be reproduced in
simulations, then others can study the sensitivities. If there is a
`forcing structure' that will occur in many, many variant forms, then
you can demonstrate that.
> I actually have a very good one, but you won't like it because it means
> using the models to understand what they fail to describe rather than the
> usual method of using them to represent other things.
Right. Model predicts something, it turns out to have some error
structure and that structure suggests ways to improve the model or make
a new one. Paper published. Meanwhile another guy makes a different
model on the same phenomena and publishes a paper. Third person reads
the two papers and has idea that accounts for problems in both. So she
makes a new model!
Marcus
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