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oil extraction: (capital) + (skilled labour) + (machinery) + (oil fields) -> (crude oil)

(oil fields) cannot be modellised as an output. Thus you cannot close your model. The question thus becomes: what input can you replace anything that depends on the input (oil fields), so as to finally close the matrix?

In the long run, we're all dead. John Maynard Keynes

by Jerome a Paris (etg@eurotrib.com) on Sat Nov 18th, 2006 at 08:50:56 AM EST
Are you sure of that ? an oil field is the result of plenty of cash and time, spent on hardware and staff roaming hostile parts of the planet in search for oil.

I'm sure oilco's geologist have models of the return on investment of this. We now the curve for the new finds since 100 years, which is logistics with a peak in the sixties, we could guesstimate the amount of cash put in exploration by the majors (I don't think the national oilcos did a lot of exploration until recently, and their playing field is often limited to their borders).

Put in a fudge factor <<1 to model the fact that there has been more continental crust explored than is left to explore and that it will get worst as more cash is poured in the effort.

Wild yet low-risk bet: over time, an exponentially growing amount of cash will be spent to discover an exponentially shrinking amount of oil fields (by cumulative size, the number of stranded fields will be very large on the contrary). So I think we could write:

K.cash -> X bbl oil fields where K=exp(-big time the time integral of oil fields already discovered at the moment under consideration)

Pierre

by Pierre on Sat Nov 18th, 2006 at 10:24:50 AM EST
[ Parent ]

an oil field is the result of plenty of cash and time, spent on hardware and staff roaming hostile parts of the planet in search for oil.

That's covered by capital, machinery and labor inputs. Ultimately, you still need the actualg geological structure, and that one is not going to be an output in a timeframe that makes sense for a purposes. Just define "oil field" in a narrow sense, and you bump against that problem again.

In the long run, we're all dead. John Maynard Keynes

by Jerome a Paris (etg@eurotrib.com) on Sat Nov 18th, 2006 at 01:05:06 PM EST
[ Parent ]
OK, let's restate a definition meaningful for the purpose of this model (after all, Migeru wanted the thread to be unreadable): oil fields come in two flavors, we have pre-existing undiscovered oil fields, in a finite number  (as you said, they're only produced in geoligical timescales), this number is unknown but the order of magniture can be estimated quite accurately. These are the inputs to produce "known fields" aka reserves, the other flavor, which goes into Migeru's matrix.

Of course, we are not in a pure Leontieff model since the coefficient of oil discovery will vary over time. The oil itself will change also, making refining less efficient, etc...

But this was to be expected: we are modeling a depletion process, which is irreversible just like entropic decay. The pure leontieff model is reversible if you keep all coefficients constants, it is always conceivable to return to a previous state of equilibrium. Which will not be possible with oil: once it's all CO2 in the stratosphere we won't be able to drive so many hummers...

Pierre

by Pierre on Sun Nov 19th, 2006 at 11:22:04 AM EST
[ Parent ]
Who tells you the Leontief model is reversible? Chemical equations are reversible, but not economic processes.

Those whom the Gods wish to destroy They first make mad. -- Euripides
by Migeru (migeru at eurotrib dot com) on Sun Nov 19th, 2006 at 03:24:18 PM EST
[ Parent ]
It is in its simplest form: a closed network with constant coefficients over time. You have a number of solutions, which are the equilibrium points, it is entirely static, you may move from one point to the other with external shocks which are not modelled in this basic version itself, and nothing forbids that an opposite shock takes you back to the previous point.

Pierre
by Pierre on Mon Nov 20th, 2006 at 04:45:10 AM EST
[ Parent ]
Yes, in that way it is.

Those whom the Gods wish to destroy They first make mad. -- Euripides
by Migeru (migeru at eurotrib dot com) on Mon Nov 20th, 2006 at 04:48:23 AM EST
[ Parent ]
oil prospection: (capital) + (geologists) -> (oil fields)

Those whom the Gods wish to destroy They first make mad. -- Euripides
by Migeru (migeru at eurotrib dot com) on Sat Nov 18th, 2006 at 04:29:43 PM EST
[ Parent ]
Once again (ignoring the mathematics) the models ignore the fact that there is no cost assigned to the depletion of non-renewable resources.

Suppose we wanted to assign a cost to the raw material. Several choices come to mind:

  1. The value that the last barrel in the world will have calculated to present value.
  2. The value of an equivalent amount of energy from a renewable source.
  3. A value set arbitrarily to force development of alternative sources.

Even these models fail when the raw material has no substitute (say Tantalum or Platinum).

Which gives another option:
4. The cost to extract the same amount of material via recycling.

Even these options assume an adequate supply of energy to do something like recycling. The amount of Tantalum in the typical mobile phone is probably on the order of a few grams, how much does it cost to separate it from all the other elements? Obviously at current labor and energy costs it is not economical.

We need new economic models that take into account the finiteness of the plant. So far these are not forthcoming.

Policies not Politics
---- Daily Landscape

by rdf (robert.feinman@gmail.com) on Sat Nov 18th, 2006 at 12:06:50 PM EST
[ Parent ]
2 or 4 will be decisive, depending on how easy the substitution can be made.

3 might play a role if there is decisive regulation to modify the equation (but will still just be a artificially modified version of 2 or 4)

In the long run, we're all dead. John Maynard Keynes

by Jerome a Paris (etg@eurotrib.com) on Sat Nov 18th, 2006 at 01:08:34 PM EST
[ Parent ]
As a static (general equilibrium) model, you're right, but in a dynamic model there's no reason why you can't throw in an equation where "the amount of (oil fields) left" decreases by an amount proportional to the amount of oil extracted.

I have alluded to the parallel with chemical equations in the diary, and developed it in a reply to Technopolitical in a parallel subthread. If Chemistry can take into account rates of reaction, and the depletion of the reactants, why can't we? The equations just describe the processes. There are no cost anywhere yet, I haven't even written down the productivity coefficients explicitly.

Like I say in the reply to Technopolitical, what I want to take away from Leontief analysis is the "graph" of inputs, outputs and processes.

Those whom the Gods wish to destroy They first make mad. -- Euripides

by Migeru (migeru at eurotrib dot com) on Sat Nov 18th, 2006 at 04:35:22 PM EST
[ Parent ]
Yes, but you're being algorithmic again.

It's a pretty idea, but it doesn't model the fact that the depletion of reactants, and the creation of pollutants, has consequences for the model. Which means these consequences - which are not trivial - are ignored.

You could say 'Yes, but you can include them in the model.'

But you can't. For example - if you model CO2 as an output, you may (arguably) get the right figure for the amount of CO2. But you will get no information about the impact of CO2 on the environment, because you'd need to include the entire ecosystem, or at least a reasonable analysis of the economic outputs that CO2 produces.

Since no one agrees what those outputs are, you have a problem.

So this is yet more toy economics which - as usual - pays no attention to non-financial realities. And given where we are now, this is a bad thing, not a good one.

Economists and business majors need to be trained to think that externalities are central to any useful model, not peripheral to it. This does the opposite - it creates an illusion of understanding, which will tend to reinforce a distant FT-length view of what's happening in the physical world.

by ThatBritGuy (thatbritguy (at) googlemail.com) on Sat Nov 18th, 2006 at 08:22:12 PM EST
[ Parent ]
Sorry, I don't follow this.

The model pays attention to whatever you put in it. If you want to include the carbon cycle in the model you can. You are limited by your knowledge of the carbon cycle, just like you're limited by your knowledge of specific sectors of the economy.

Is it actually possible to improve our understanding of the carbon cycle and of the climate system to reduce the size of the "problem" that "disagreing on the outputs of CO2" causes, or not? If this kind of stuff is unknowable I would like to know why.

Do you actually think understanding our economic (and ecological) system is impossible?

Even if you don't have information on the environmental impacts of pollution you could include "cleanup" as a sector of the model and ask yourself what would happen if you demanded that all pollution be cleaned up. For instance, what does a carbon-neutral economy look like? If there are econometrists working for governments that have relatively faithful Leontieff models of their countries' economies, they're actually rather close to answering the question of what a carbon-neutral economy looks like for their country. I doubt anyone is asking them that question.

Those whom the Gods wish to destroy They first make mad. -- Euripides

by Migeru (migeru at eurotrib dot com) on Sat Nov 18th, 2006 at 09:31:14 PM EST
[ Parent ]
The model pays attention to whatever you put in it. If you want to include the carbon cycle in the model you can. You are limited by your knowledge of the carbon cycle, just like you're limited by your knowledge of specific sectors of the economy.

Well, yes. Quite.

So you have a model which isn't actually an - er - model?

What's your definition of a model, exactly? I know that if I use standard models (not to be confused with The Standard Model) in circuit design or bridge building, I'll get an answer that approximates reality in a useful way, subject to some minor and predictable constraints.

When I look at ideas in economics, after I get over the 'You cannot be serious?!' stage, that kind of precision seems somewhat lacking, except for a very tiny subset of very simple problems.

Do you actually think understanding our economic (and ecological) system is impossible?

I think it's a much harder problem than it looks, because unlike engineering or chemistry, economics is mostly psychology and politics.

And as for ecology - ecology is hard. It's much harder than most people seem to even begin to realise. Ironically I think the Leontieff approach is a lot more applicable to ecology than to economics, because the networks and energy flows in an ecosystem don't depend on anyone's opinion. (At least, not until fairly recently.)

What bothers me is that this modelling seems like an appeal to authority, and is only superficially related to the modelling done in real science.

I haven't looked through acres of papers, but I would be mightily surprised if I couldn't find at least one paper that used this model to 'prove' that raising the minimum wage would create unemployment, and another that 'proved' that it wouldn't.

by ThatBritGuy (thatbritguy (at) googlemail.com) on Sat Nov 18th, 2006 at 10:28:17 PM EST
[ Parent ]
Why is "model" a dirty word to you? I agree with you that chemistry is easier than ecology is easier than economics, but I think focusing on the political and psychological side of economics it's hard to get a grip on the eminently physical constraints on "sustainable economics". I still think the economy is still mainly about feeding people and making stuff. When people point out how much oil is used in industrial agriculture they are making a quantitative statement that fits snugly as a matrix element of the Leontief model, namely the "fertilizer + fuel" bit of
industrial agriculture: (capital) + (labour) + (soil) + (fertilizer) + (fuel) + (sunlight) + (water) -> food
So actually, as a quantitative descriptive (as opposed to predictive, your implicit necessary attribute for 'models') tool, I find these kinds of models rather appealing. And I don't understand how this is not related to "modelling done in real science". Anyone professionally involved in an economic sector should be able to give a reality-based estimate of the factors involved and their necessary quantities.

If we want to understand the likely impacts of peak oil, we can either pull things out of thin air or try to undestand on a more concrete level what the flow of oil through the economy actually works. And though that has a psychological and political basis, it is not a psychological or political question. How the flows can be modified is a partly technical, party political, and partly psychological, question, I'll give you that. However, once again, I am interested in the physical constraints that "sustainability" imposes on economics.

Those whom the Gods wish to destroy They first make mad. -- Euripides

by Migeru (migeru at eurotrib dot com) on Sun Nov 19th, 2006 at 09:06:20 AM EST
[ Parent ]
We need new economic models that take into account the finiteness of the plant. So far these are not forthcoming.
As I point out in various places in this discussion this kind of framework for describing the economy has more than an accidental resemblance to standard representations of ecological cycles (like carbon or water). So maybe the models are not forthcoming, but the framework is there.

Those whom the Gods wish to destroy They first make mad. -- Euripides
by Migeru (migeru at eurotrib dot com) on Sun Nov 19th, 2006 at 10:53:09 AM EST
[ Parent ]
Technically a model doesn't have to close; it has to correspond to what you're modeling - the prototype.  
by ATinNM on Sat Nov 18th, 2006 at 04:10:41 PM EST
[ Parent ]
That is great, I'll have to chew on it and come up with some cogent answer, but I just want to encourage others to poke as many conceptual holes in this kind of model as they can.

Those whom the Gods wish to destroy They first make mad. -- Euripides
by Migeru (migeru at eurotrib dot com) on Sat Nov 18th, 2006 at 04:28:41 PM EST
[ Parent ]
Leontief's model does not strictly require closure, in fact in his application he allowed for consumption and trade. One of the questions that can easily be answered within the linear model is whether a given level of demand can be satisfied, and what the necessary level of production, internal consumption and importation is. This, of course, begs the question of where the necessary imports are going to come from, especially if one is trying to model the global economy.

Take, for instance:

agriculture: (capital) + (labour) + (land) + (sunlight) -> (food)
Land and sunlight are not "outputs". You can always cheat and write
agriculture: (capital) + (labour) -> (food)
arguing that land and sunlight are just subsumed in the productivity of capital and labour, but I think it is more honest to make them explicit inputs and then have to worry about the fact that they cannot be created and so have to appear as an "import" in the model (and where is the necessary "import volume" going to come from?).

The way this is done is by building a matrix whose components are "the amount of (input) needed to produce a unit of (output)". Call this A. Then, if you know the desired level of output (call it x), the necesary inputs (call them y) are  given by matrix multiplication y = A x. If x is the (desired? actual?) level of production, y is the internal consumption, that is the part of the produce that is consumed just "to keep the machine going". The quantity x - y is the net product, that is how much is available for final consumption or exports (or storage?). If a component of x - y is negative, you need to import, or have a shortage.

So if "new oil fields" is a factor in the production of "crude oil" you can use the linear model to figure out how many new fields you have to find ("import") in order to meet a given level of demand.

Those whom the Gods wish to destroy They first make mad. -- Euripides

by Migeru (migeru at eurotrib dot com) on Sat Nov 18th, 2006 at 09:21:23 PM EST
[ Parent ]

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