Oil Drilling: another Seneca Cliff

Originally published on Cassandra's legacy on Friday, March 27, 2015

The concept of an impending "Seneca cliff" seems to be making inroads in the debate, even though it may not be given that name. For example, watch the animation above on "Bloomberg.com"


(h/t Joe Smith of the Doomstead Diner)

Why have newspapers become so bad? There is a reason: it is another case of the "Seneca effect"

Originally Published on "Cassandra's Legacy" on Sunday, February 22, 2015

You probably have noticed the decline in the quality of newspapers. Actually, it is not just a decline, it is a true collapse: news are not verified, legends are published as fact, important issues are neglected in favor of gossip and let's say nothing about the way some crucial problems such as climate change are neglected and mispresented. There is a reason: as you see in the figure above, newspapers have rapidly lost a large fraction of their revenues in the form of advertising. In short, newspapers are a living example of what I called the "Seneca Effect", which states that "ruin is rapid." (Image by Mark J. Perry from the American Enterprise Institute.)

By now, you may think that I am becoming a bit fixated with this idea of the "Seneca Cliff", but the image above is so impressive that I just had to show it here. In previous posts, I described how decline could be much faster than growth (the "Seneca Effect" - see the graph on the left) in several historical cases involving the exploitation of natural resources. In these cases, the rapid collapse is the result of the attempt of operators to keep production constant or increasing, and hence overexploiting the resource.

The case of newspaper advertising looks similar. The decline of newspaper quality during the past few years has been startling and it can be explained by the graph at the beginning of this post. Advertising revenues for newspapers collapsed badly, "Seneca-style,"  starting with the early 2000s. This collapse took place while total advertising revenues actually increased; so, the data have to be interpreted as the result of the diffusion of the Internet. Apparently, Web advertising on social media and other channels provided better performance/cost ratios than newspaper related advertising and it is there that the advertising money went. And, without the money that came from advertising, it is no surprise that the quality of newspapers collapsed as well.

So, we have here a good illustration of the ubiquity of Seneca's observation that "the way to ruin is rapid", but also a different case than that of the exploitation of natural resources as - say - shale oil (which is, by the way, starting to show a very nice "Seneca Cliff"). Nevertheless, all human economic activities have to do with the exploitation of resources of some kind. In this case, the resource being exploited is the capital available for advertising.

We can see the effect of the competition between Social Media and Newspaper advertising as a classic case of the "Gause's law of competitive exclusion", well known in biology. It says that when two species compete for the same resources, one will usually go extinct. This is what's happening with the two "species" which are Newspapers and Social Media - the first is probably going to be extinct soon.

Below, I'll show you a simple model on how we can simulate the competition of  two species for the same resource. But, intuitively, we do expect that the collapse of the less efficient species should be abrupt. We can imagine that the old species (say, foxes) had found some kind of homeostatic equilibrium with its source of food (say, rabbits) and then, suddenly, the new species appears (say, wolves) which catches rabbits much faster and more efficiently. It is disastrous for the foxes, which go extinct quickly.

This is not just theory, think of what happened when the Europeans arrived in the Americas with their firearms. It was a disaster for the local people - less efficient than the Europeans in the art of war. Not a nice story to tell but, unfortunately, this seems to be the way the world works.

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A simple model of Gause's law applied to advertising.
by Ugo Bardi

Here is the model's representation made using the Vensim software:

The model is built using simple assumptions which make it similar to the well known "Lotka-Volterra" (LV) model. It starts from an "advertising capital" (rabbits in the LV model), which is consumed by capital specifically dedicated to internet advertising (foxes in the LV model), assuming also that growth is quadratically damped, as it is often done in the LV model. There are two species in competition, Web and Newspaper advertising ("foxes" and "wolves") of which one starts with much lower numbers but with a higher efficiency of capital consumption. This second species appears as a "pulse" at about one third of the simulation. The result is that the first species (Newspaper advertising) reaches homeostasis, but collapses rapidly when the second species (Web advertising) enters into play. Here are the results of the investments on newspaper advertising

This is just a stab of a model, put together in an hour or so. Don't take it for more than that, but I think it does capture something of the system being modeled. For details write to me at ugo.bardi(zingything)unifi.it. I can also send to you the complete model. 

Seneca's gamble: why the road to ruin is rapid

Originally published on "Cassandra's Legacy" on Monday, February 2, 2015

Why people can so easily destroy the resources that provide their livelihood? Fishermen, for instance, have destroyed fisheries over and over, and every time they refused to take even the most elementary precautions to avoid disaster. Eventually, I came to think that it is related to a basic miswiring of the human mind: the "gambler's fallacy". Fishermen, it seems, see fishing as it were a lottery and they redouble their efforts thinking that, eventually, they will get lucky and strike it rich. Alas, it doesn't work in this way and all what they obtain is to destroy the fish stocks and create a spectacular collapse of the fishing yields. This way of creating one's own ruin could be termed "Seneca's gamble", from the words of the Roman philosopher Lucius Annaeus Senecawho stated that "the road to ruin is rapid". 

The "Martingale" is a strategy to be played with games which have a 50% chance of winning. It consists in doubling one's bet after every loss, believing that, eventually, a win will pay for the previous losses and provide a gain.

The Martingale is an example of the "gambler's fallacy". Typically, gamblers tend to think that some events - such as the numbers coming out of the wheel in the roulette game - are related to each other. So, they believe that, if the red comes up several times in a row, it is more probable that the black will come out the next spin. That's not true, of course, and the Martingale is a surefire way to ruin oneself, and to do that very rapidly. Nevertheless, many people find the idea fascinating enough that they try to put it into practice. It is the effect of a bad miswiring of the human mind.. 

The gambler's fallacy may explain some aspects of the human behavior that would be otherwise impossible to understand. For instance, in a previous post I was showing this figure, describing the yields of the UK fishing industry (from Thurstan et al.).

Compare the upper and the lower box, and you'll see that the fishing industry was ramping up at an incredible speed their "fishing power," just when fishing yields had started to decline. Note also how they still had a lot of fishing power when the fisheries had all but collapsed. How could it be that they kept fishing so much even when there was little or nothing left to fish?Thinking about this matter, we can only come to the conclusion that fishermen reasoned like gamblers at a betting table. In other words, they were playing a sort of "fishing Martingale", doubling their efforts after every failure.

Gamblers know - or should know - that casino gambling is a negative sum game. Yet, the gambler's fallacy makes them think that a streak of bad results will somehow increase the probability that the next bet will be the good one. So, they keep trying until they ruin themselves.

Now, consider fishermen: they or should know  that, at some point, the overall yield of the fishery has become negative. But, like gamblers playing roulette, they believe that a streak of bad luck will somehow increase the probability that the next fishing trip will be the good one. So, they keep trying until they ruin themselves.

The mental miswiring that gives rise to the behavior of gamblers and fishermen can create even larger disasters. With mineral resources, we are seeing something similar: operators redoubling their efforts in the face of diminishing returns of extraction; the story of "shale gas" and "shale oil" is a typical example. Maybe it is done hoping that - somehow - the destruction of one stock will increase the probability to find a new one (or to create one by some technological miracle). So, instead of trying to make mineral stocks last as long as possible, we are rushing to destroy them at the highest possible rate. But, unlike fish stocks that can replenish themselves, minerals do not reproduce. Once we'll have destroyed the rich ores that created our civilization, there will be nothing left behind. We will have ruined ourselves forever.

In the end, the gambler's fallacy is one of the factors that lead people, companies, and entire civilization to a rapid collapse. It is what I have called the "Seneca Cliff" from the words of the ancient Roman philosopher who first noted how "the way to ruin is rapid". In the case described here, we might call it the "Seneca gamble" but, in all cases, it is a ruin that we create with our own hands.

The shale oil "miracle": how growth may falsely signal abundance

Originally published on "Cassandra's Legacy" on Tuesday, February 24, 2015

Oil production (all liquids in barrels per day) in the US and Canada. (From Ron Patterson's blog). Does this rapid growth indicate that the resources are abundant and that all the worries about peak oil are misplaced? Maybe not....

Sometimes, we use a simple metric to evaluate complex systems. For instance, a war is a complex affair where millions of people fight, struggle. suffer, and kill each other. However, in the end, the final result is seen in terms of a yes/no question: either you win or you lose. Not for nothing, General McArthur said once that "there is no substitute for victory".

Now, think of the economy: it is an immense and complex system where millions of people work, produce, buy, sell, and make or lose money. In the end, eventually, we think that the final result can be described in terms of a simple yes/no question: either you grow, or you don't. And what McArthur said about war can be applied to the economy, as well: "there is no substitute for growth".

But complex systems have ways to behave and to surprise you that can't be reduced to a simple yes/no judgement. Both victory and growth may well create more problems than they solve. Victory may falsely signal a military might that doesn't really exist (think of the outcome of some recent wars....), while growth may signal an abundance which is just not there.

Take a look at the figure at the beginning of this post (from Ron Patterson's blog). It shows the oil production (barrels/day) in the US and Canada. The data are in thousand barrels per day for "crude oil + condensate" and the rapid growth for the past few years is mostly due to tight oil (also known as "shale oil") and oil from tar sands. If you follow the debate in this field, you know that this growth trend has been hailed as a great result and as the definitive demonstration that all worries about oil depletion and peak oil were misplaced.

Fine. But let me show you another graph, the US landings of North Atlantic Cod, up to 1980 (data from Faostat).

Doesn't it look similar to the data for oil in the US/Canada? We can imagine what was being said at the time; "new fishing technologies dispel all worries about overfishing" and things like that. It is what was said, indeed (see Hamilton et al. (2003)).

Now, look at the cod landings data up to 2012 and see what happened after the great burst of growth.

I don't think this requires more than a couple of comments. The first is to note how overexploitation leads to collapse: people don't realize that by pushing for growth at all costs, they are destroying the very resource that creates growth. This can happen with fisheries just as with oil fields. Then, note also that we have here another case of a "Seneca Cliff," a production curve where the decline is much faster than growth. As the ancient Roman philosopher said, "The road to ruin is rapid". And this is exactly what we could expect to happen with tight oil

Sandeels: another Seneca cliff

Originally published on Cassandra's Legacy on Thursday, January 22, 2015

Image from http://www.climateandfish.eu/default.asp?ZNT=S0T1O-1P192

Once you start looking for "Seneca Cliffs" in the exploitation of natural resources, you find them all over the scientific literature. This is my latest find of a production curve where decline is much more rapid than growth: the landings ofsandeels. If you don't know what a sandeel is, here is one: 

In the report (2007), where I found the curve shown above, the authors discuss the causes for the collapse of the fishery, especially in view of climate change. They don't seem to arrive to any definitive conclusion and they don't use the dreaded term "overfishing". But from the fact that trawlers were used in this fishery, I think it is clear that the fish stock was being destroyed in a process similar to the one that led to the collapse of the whole UK fishing industry. The more resources were aggressively thrown at trying to maintain production, the more the fish stock was depleted. The end result was the rapid collapse observed.

So, as in several other cases, we have a classic example of the "Seneca Collapse", that is a production curve where decline is much more rapid than growth. Below, you can see the Seneca curve as shown in a simulation carried out by system dynamics that takes into account the increased capital expenditure in fishing equipment (the model is described here). 

As Seneca said, "the road to ruin is rapid", indeed.

A Seneca cliff in the making: African elephants on the brink of extinction

Originally published on "Cassandra's legacy" on Monday, January 19, 2015

The graph above refers to effects of the illegal hunting of African elephants. It is taken from a recent paper by Wittemyer et al.

Once you have given a name to a phenomenon and understood its causes, you can use it as a guide to understanding many other things. So, the concept of the "Seneca Cliff" tells us that the overexploitation of natural resources often leads to an abrupt decline that, often, takes people by surprise. In the case of biological resources, such as fisheries, the decline may be so fast and uncontrollable that it leads to the extinction or to the near extinction of the species being exploited. It has happened, for instance, for whales in 19th century and for the Atlantic cod.

If you keep in mind these historical examples, you can examine other cases and identify possible Seneca cliffs in the making. One such case is the ivory trade from the hunting of African elephants. If you look at the plots (from a recent paper), above, you see that the seized ivory mass has shown a considerable increase starting around 2008. It peaked in 2011, then declined. We can probably take these numbers as a "proxy" for the number of African elephants being killed - which is also visible as the red line in the upper box. 

This is very worrisome, because if killings decline, it may very well be because there are fewer elephants left to kill - just as the landings of the fishing industry tend to decline when the fish stocks are depleted. Considering how abruptly these things go (the "Seneca effect") then we may well be seeing a similar trend in progress for African elephants: that is, the prelude of an abrupt crash in their numbers. Considering that elephants are big and reproduce slowly, that may very well lead to their extinction.

On this subject, the authors of the paper seem to be very worried, too. The title, by itself, says it all: "Illegal killing for ivory drives global decline in African elephants". In the text, we can read, among other things, that:

The population [of African elephants] was subjected to unsustainable rates of illegal killing between 2009 and 2012, escalating from a mean of 0.6% (SD = 0.4%) between 1998 and 2008 to a high of 8% in 2011 (Fig. 1). Annual illegal killing of elephants in the Samburu population during 2009 to 2012 exceeded those of all previous years of monitoring (1998–2008) with an estimated aggregate of 20.8% of the known elephants illegally killed during that 4-yperiod. ... Illegal killing rates were strongly correlated with black market ivory prices in the Samburu ecosystem. ... As a result of this illegal killing, the population currently suffers from few prime-aged males, strongly skewed sex ratios, and social disruption in the form of some collapsed families and increased numbers of orphans (immature elephants without a parent)

Are we going to lose the elephants forever? Right now, we can't say for sure; but when it will be clear that it is happening, it will probably be too late to do something about it. Doesn't that sound familiar? 

Seneca's pyramids: how fast did the Mayan civilization fall?

Originally published on Cassandra's legacy on Wednesday, January 14, 2015

Monument building cycle of the Mayan civilization. From "Sylvanus G. Morley and George W. Brainerd, The Ancient Maya, Third Edition (Stanford University Press, 1956), page 66.". Courtesy of Diego Mantilla.

Once you give a name to a phenomenon, you can focus your attention on it and learn more and more about it. So, the "Seneca Cliff" idea turns out to be a fruitful one. It tells us that, in several cases, the cycle of exploitation of a natural resource follows a forward skewed curve, where decline is much faster than growth. This is consistent with what the Roman philosopher Lucius Annaeus Seneca wrote: "increases are of sluggish growth, but the way to ruin is rapid." With some mathematical tricks, the result is the following curve:

This curve describes the behavior of several complex systems, including entire civilizations which experienced an abrupt collapse after a long period of relatively slow growth. In my first post on the seneca cliff, I already discussed the collapse of the Mayan Civilization (*)

Here, you can see the the Seneca behavior, although the data for the Maya population density seem to be rather qualitative and uncertain. However, the data that I received recently from Diego Mantilla (see at the beginning of this post) are clear: if you take monument building as a proxy for the wealth of the Mayan civilization, then the collapse was abrupt, surely faster than growth.

Something similar can be said for the ancient Egyptians, although the data for pyramid building are more sparse and uncertain than those for the Maya. Finally, also the Roman civilization appears to have collapsed faster than it grew.

So, the Mayans didn't do better than other civilizations in human history. As other civilizations did, they moved toward their demise by dragging their feet, trying to avoid the unavoidable. They didn't succeed and they didn't realize that opposing the collapse in this way is a classic example of "pushing the levers in the wrong direction". It can only postpone collapse, but in the end makes it more rapid.

Will we do any better than the Mayans? One would hope so, but........





(*) Dunning, N., D. Rue, T. Beach, A. Covich, A. Traverse, 1998, "Human - Environment Interactions in a Tropical Watershed: the Paleoecology of Laguna Tamarindito, Guatemala," Journal of Field Archaeology 25 (1998):139-151.