But if resources were utilized this way, you would see a short steep upslope representing the development of the technology and utilization of the resource, and then a long slow downslope representing its sparing (but logaritmic) utilization.
What we see in stead is maximization: The resource is simply utilized as fast as possible, and the upslopes and downslopes are nearly the same. The Fates are kind.
What can I say? From the OUTSET the end was foreseen. "Appears infinite" maybe, but it is a WILLFUL delusion. The Fates are kind.
Assume that the growth of estimated reserves is logistic, and assume that consumption is a constant fraction of estimated reserves. Since the growth phase of a logistic is very approximately exponential, you get exponential growth.
The "Zeno approach" is unrealistic, also in that it assumes superexponential growth at the beginning, as the technology develops (quickly going from zero consumption to its all-time maximum value). To assume that this is possible is to ignore all the frictions in training people, investing, building infrastructure, and then when the target rate of consumption has been achieved, laying everyonw off and disusing the plants used to build the infrastructure. Can the last politician to go out the revolving door please turn the lights off?
So, if I understand you right, humans are NOT smarter than yeast.
Maybe we need a better theory. The Fates are kind.
So then, we need to learn to pay attention?
Come to think of it DeAnander has been saying that for months . . .
Straight Zen. The Fates are kind.
I also don't understand what's wrong with logistic growth. Unless you have perfect information you can't do much better than that.
What is wrong is overshoot and collapse. If yeast achieves logistic growth, it's pretty smart. Probably smarter than humans. Though I don't think yeast achieves logistic growth either.
You've also (or was it DeAnander?) in the past claimed that even the Lotka-Volterra model (prey = renewable resource, predator = us) is "a wrong model". I don't see how it fails to represent human collective behaviour, as far as the hypotheses go. It also predicts overshoot and collapse.
I don't believe in master planning, be it theological, capitalist or socialist. Do you? Can the last politician to go out the revolving door please turn the lights off?
I'm having a bad run on that this week.
So, I believe it happens all the time, and I believe it can never work. Can the last politician to go out the revolving door please turn the lights off?
Too much to ask, right?
In our case, all resources are finite. So you know you will run into trouble in ten years, or ten million years. Which is it? You watch and see. Well before it happens you should be making your plans to recognize it and switch out when you need to.
But really, everything we are arguing about was predicted decades ago, sometimes centuries. That's why I used the word "willful."
To be specific, the troubles we are in right now were perfectly plain by the 1970s. We did not seek to switch out, even then: We raced at the cliff.
If yeast do that, that is their problem. But when WE do that, it is OUR problem.
Now I am not arguing you are wrong--or at least, not always wrong, but since there certainly are peoples who did not follow our path it would be good to know how they did it--what their mind was.
You can certainly do better than logistic growth--if it leads to destruction--by anticipating that. You do not have to limit yourself to responding to first derivatives, and then discovering afterward that you have walked into a dead-end box.
I don't see how it fails to represent human collective behaviour
Well, it predicts some human behavior, particularly OUR human behavior, but since we are destroying ourselves perhaps the model is fine as a description of us but very bad as advice. That is, it describes well precisely what we should not do. We should do something else.
It would be better to follow a model that does not lead to self-destruction, even if self-destruction can be modeled very well.
I don't believe in master planning,
Anyone who does not do their own master planning is courting trouble--this is true for individuals and groups. Plans have to be flexible to work. But if they do not exist, they certainly don't work. The Fates are kind.
Anyway, can we agree that these logistic or predator-prey models approximately describe the way our civilisation currectly functions?
The questions are: how else could it function? [I still haven't seen a simple model of that, can you provide one? Use however many derivatives you like, and delayed feedback]; how do we get there from here?; how many people can be sustained? Can the last politician to go out the revolving door please turn the lights off?