Showing posts with label exponential growth. Show all posts
Showing posts with label exponential growth. Show all posts

Tuesday, September 14, 2010

Dangerous Exponentials

It's rare - but there are people out there who truly understand exponential growth and how it relates to our economic system.  Anyone who understands our monetary system - and how it is required to grow forever - typically come to the same conclusion. Our lives in the next few years are going to be radically different than they are today.

What happens when exponential growth reverses (Debt, money, energy, population, etc.)?

Nothing good.

The attached paper (below) by Dr. Tim Morgan (tullett prebon) is an excellent review of exponential growth - how it relates to our monetary system and energy - and what it means for our future.  Dr. Morgan mentions Chris Martenson's work multiple times.

If you want to understand what is happening to our economy - there is no better place to start than watching Dr. Martenson's Crash Course.

http://www.chrismartenson.com/crashcourse

If you want to read my analysis of our monetary system and how it relates to Bible Prophecy - start here:

http://endtimediscussions.blogspot.com/2006/09/our-monetary-system.html

Dangerous Exponentials - tullett prebon - Sept 2010

John - September 14, 2010

Saturday, September 16, 2006

Exponential Growth in a Finite World

The greatest shortcoming of the human race is our inability to understand the exponential function. ~Dr. Albert Bartlett

In the previous post, we reviewed the United State’s monetary system and how that system has placed our money supply, debt, inflation, and overall economic growth on exponential curves. We reviewed who is behind this system and why it was created. We also demonstrated that this monetary system has been adopted the world over by every major world power. There are now only a few nations throughout the world who do not have a central bank and debt-based monetary system that is growing exponentially (Not coincidentally - Iraq and Afghanistan were two of them). In case you haven’t read the previous post, I have included graphs below that show the growth of our money supply and Federal debt. It’s not hard to see that both are growing exponentially – and it’s easy to see that we are now on the steep inclines of an exponential curve in both cases. The previous discussion explained why these trends cannot continue indefinitely without a collapse of our economic system.


As I began studying and praying about these things over the past 3 years, I began to wonder – is the world’s monetary system the only thing following exponential growth? The answer, not surprisingly, is – no. What you are about to see is that many systems present in the world today are growing exponentially – not just our monetary and economic systems. You will also see – similar to our monetary system – that all of these systems are now climbing the steep incline of an exponential curve.

In this post, we’re going to take a look at some of the systems in the world today that are growing exponentially and what it means for our future. You will also see – similar to our monetary system – that the exponential growth of these systems is going to cause us serious problems in the very near future. You may ask – what does this have to do with Bible prophecies? How can studying exponential functions help us understand the Lord’s prophecies? After all, this is just math! You’re probably thinking that you didn’t like math in high school/college – and you don’t like it now. In this case, math gives us some very important clues to our future. You probably thought that your high school math teacher was crazy when he or she told you that math has practical ‘real world’ applications. I’m here to tell you that your teacher was more correct than even they knew. The truth is that we can see significant mathematical trends in the world today and how they relate to Bible prophecy if we will take the time to pay attention. I believe that the Lord has made it very clear what is happening in the world and why – if we’d only pay attention to Him and what is happening in our world. If you’ve read my posts on the judgments of Revelation, then you know that the Lord has given us warnings about our future in His Word – warnings regarding our oceans, atmosphere, earth’s temperature, plant life, famine, drinking water, etc. You’re about to see how exponential growth in the world today is pointing to serious problems regarding all of these things.

As you read through this post, you will probably ask yourself - why couldn’t I see this before? These things seem obvious – why couldn’t I see them? Remember, as always, that the world’s spiritual ruler tries to suppress the truth at all costs. How is your knowledge of Bible prophecy? How’s your Biblical knowledge? The truth is that most of us lack the Biblical knowledge required (I was certainly included) to know how events in the world today relate to God’s Word. This is not by accident. Our enemy has very deceptively led us away from the truth – just focus on your life in the here and now – and has blinded us to what is really happening in the world. Satan will always focus us on short term gains – not the long term consequences of our actions. When it comes to sin, we can certainly see this in our own lives – the consequences of making wrong choices and disobeying God. What we haven’t paid attention to – is how wrong choices will affect us on a worldwide scale.

Let’s start by looking at the most important exponential curve in the world today. The world’s population growth. The world’s population has averaged just over 1% growth throughout our history, so it has taken some time to turn the corner. It’s not hard to see that we are now on the steep incline of an exponential growth curve.

What affect has this had on the world? Resources the world over are strained (food, water, energy, etc) – and pollution is becoming a serious issue the world over. What has human population growth done to animal species throughout the world? They’re becoming extinct – at an exponential rate. It is estimated that 1/3 of the world’s species will become extinct by 2050 (Thomas et al., 2004 (Nature 427:145-148)).

(Source: Dr. Edward Wilson)

How could this trend relate to Bible prophecies? Before we answer this question, let’s take a look at another graph.


In 1950, the world’s fish catch equaled approximately 20 million metric tons. In 2002, the world’s fish catch equaled approximately 90 million metric tons. What affect is this having on overall fish stocks? It is reported that approximately 75% of the major marine fish stocks are either depleted, over exploited or being fished at their biological limit (Source: UN FAO FISHSTAT Database). World fish stocks are plummeting. Take a look at what is happening in the North Atlantic. There has been a 90% decline in predatory fish populations.


What is one of the final judgments on the world?

“The second angel poured out his bowl on the sea, and it turned into blood like that of a dead man, and every living thing in the sea died.” (Revelation 16:3)

Today, we can see that pollution, global warming and over-fishing trends are having adverse effects on sea life (see other links on my website relating to coral death, ocean dead zones, melting arctic ice, wildfires, etc.) – and we see where the Lord tells us in His Word about these things. It should not surprise us that these things are happening on a worldwide scale.

Let’s take a look at other trends following the same exponential growth curve as the world’s population. What is happening to our atmosphere as the world’s population increases exponentially? Greenhouse gases (Carbon Dioxide, Methane, etc) are increasing exponentially.

The following charts show us carbon dioxide emissions from human activities. Once again, we see the exponential curve.


It’s easy to see that the U.S. is the biggest contributor to carbon emissions (charts below). Based on what we’ve learned about our economic system (requiring ever-increasing amounts of resources to sustain the system), this shouldn’t surprise us. With only 5% of the world’s population, we consume 25% of the world’s resources and use approximately 50% of the world’s gasoline. We constantly hear how China’s growing economy is contributing to greenhouse gases, but if you view the data – it’s not hard to understand why China doesn’t really want to hear our concerns. We’re not doing anything about it – why should they?


If we view CO2 concentrations over the past 1,000 years, we see the affects of human population on our atmosphere – and the growth trend is definitely exponential.


What about methane? Methane is another greenhouse gas that could also affect our atmosphere over time – to an even larger degree. As you can see – methane is also increasing at an exponential rate. Methane concentration in our atmosphere has increased approximately 150% since 1750.

What are the possible long term consequences of increasing atmospheric concentrations of carbon dioxide and methane? There is one, overriding concern. It’s easy to see in the following graph. This graph shows the relationship of greenhouse gas concentrations to earth’s temperature.

It’s easy to observe that global temperatures move in line with carbon dioxide concentrations. When CO2 concentrations increase – global temperatures increase as well. The problem is that we’re entering uncharted territory. Global atmospheric carbon dioxide concentrations are expected to rise to levels we have never seen. Based on past trends, it’s certainly possible that global temperatures will follow this trend upward.

If we look at just the past 150 years – what do we see? We see the beginning of an exponential curve for both carbon dioxide emissions and global surface temperatures.



What affect will global temperature increases have on our oceans?


We can see that ocean temperatures are heading in the same direction. Ocean temperature rise results in coral bleaching, sea level rise and loss of sea ice. As I mentioned in another post, if ocean temperatures rise six degrees Celsius, there is a very real possibility that our oceans will become marine wastelands – unable to support life.

We see these temperature trends – does anything in the Bible warn us about this? Absolutely.

“The fourth angel poured out his bowl on the sun, and the sun was given power to scorch people with fire. They were seared by the intense heat and they cursed the name of God, who had control over these plagues, but they refused to repent and glorify him.” (Revelation 16:8-9)

What other problems could increased temperatures create in our world? Deserts could spread across the globe, fresh water supplies could become even more scarce and food production could be significantly reduced. Are all of these things mentioned in the Bible? Yes – see other posts on the judgments of Revelation for a complete review.

World per capita cereal production, 1961–2000

World cereal yield, 1961–2000

The above graphs shows world cereal production per capita and world cereal yield. How much more land do we have in the world to grow food? How much more yield can we extract out of existing farmland? You’ll notice that the per capita trend above is beginning to decline as our population increases. We see the same trends for other food – corn, livestock, etc.

If we consider that the world’s population is increasing exponentially and we consider the possible impact of a changing climate – it’s easy to see that it will be very difficult for world food production to keep pace with the needs of the world’s population.

We could continue to look at other trends – world oil consumption, world energy needs, etc. – and see the same exponential curves. We could look at literally hundreds of graphs – and see that each one is approaching the near vertical phase of an exponential curve. What does this mean for us? My personal belief is that these exponential growth curves are not mere coincidences. I believe it’s yet another way that our Creator is giving us a message. A message that we are nearing the end of this present evil age.

There is something that we all need to keep in mind as we consider these trends and how they relate to Bible prophecy. Almost all of these exponential growth rates are a direct result of the exponential growth of the world’s population. If you study the illuminati and their plans for world government – you’ll find that population control is one of their priorities. They are very aware of the trends we have discussed here and are planning to solve the problem. This is why the Lord gives us information regarding this world government – its actions are evil.

“Then I saw another beast, coming out of the earth. He had two horns like a lamb, but he spoke like a dragon.” (Revelation 13:11)

Here are a couple of excellent articles/videos relating to exponential growth and current trends:

http://globalpublicmedia.com/transcripts/645

http://www.chrismartenson.com/exponential_growth

http://www.chrismartenson.com/compounding_is_the_problem

http://www.chrismartenson.com/growth_vs_prosperity

Friday, September 15, 2006

The End of Money - by Chris Martenson

This is the first article I read by Chris Martenson.  I read this article sometime in early 2008 and it led me to Chris' website.  It is well written and covers the basics of exponential money/debt growth and what it means for our future.

Enjoy.

jg - October 28, 2009
_________________________________

THE END OF MONEY

by Dr. Chris Martenson

January 8, 2007

[Note: I begin today with a short bit from where we left off last week. Also today’s title is the same as the economic seminar series I give to ever growing audiences.]

The greatest shortcoming of the human race is our inability to understand the exponential function.


~Dr. Albert Bartlett

While it was operating well, our monetary system was a great system, one that fostered incredible technological innovation and advances in standards of living. But every system has its pros and its cons and our monetary system has a doozy of a flaw.

It is run by humans.

Oh, wait, that’s a valid complaint but not the one I was looking for.

Here it is: Our monetary system must continually expand, forever.

Which means it has a math problem in the same way that a beached whale has a breathing problem. In each case we have a massive organism that was optimized for a very different set of conditions than those in which it currently finds itself.

Our monetary system was conceived at a time when the earth seemed limitless and so nobody gave it much thought when we designed it such that every single dollar in circulation would be loaned into existence by a bank, with interest. In fact most thought it a terribly modern concept and most probably still do.

Since some people might begin grumbling about whether the earth is limitless or not, for the moment let’s remove any debates about natural constraints and simply talk about the mathematical evidence that our monetary system is now entering a stage of explosive, exponential growth.

Consider these data:

Money supply growth has gone parabolic. It took us from 1620 until 1974 to create the first $1 trillion of US money stock. Every road, factory, bridge, school, factory, and house built, every unit of economic transaction that ever took place over those first 350 years required the creation of $1 trillion in money stock. But it only took 10 months to create the most recent $1 trillion and I don’t recall seeing an entire continent’s worth of factories, schools or bridges built during that time.

Household debt has doubled in only 6 years. Think about that for a minute.

Total credit market debt (that’s everything) was about $5 trillion in 1975, has increased by $5 trillion in just 2 years, and now stands at over $51 trillion.

The wealth gap between the super-wealthy and everybody else is widening at a furious pace.

What’s going on here? Could it be that the US economy is so robust that it requires monetary & credit growth to double every 6-7 years? Are US households expecting a huge surge in wages to be able to pay off all that debt? Are wealthy people really that much more productive than the rest of us? If not, then what’s going on?

The key to understanding this situation was snuck in a few paragraphs ago; every single dollar in circulation is loaned into existence by a bank, with interest.

That little statement contains the entire mystery. If all money in circulation is loaned into existence it means that if every loan were paid back, all our money would disappear. As improbable as that may sound to you, it is precisely correct although some of you are going to consider this proof that I could have saved a lot in tuition costs if I had simply drunk all that beer at home.

But with a little investigation you would readily discover that literally every single dollar in every single bank account can be traced back to a bank loan somewhere. For one person to have money in a bank account requires someone else to owe a similar sized debt to a bank somewhere else.

But if all money is loaned into existence, with interest, how does the interest get paid? Where does the money for that come from?

If you guessed “from additional loans” you are a winner! Said another way, for interest to be paid, the money supply must expand. Which means that next year there’s going to be more money in circulation requiring a larger set of loans to pay off a larger set of interest charges and so on, etc., etc., etc. With every passing year the money supply must expand by an amount at least equal to the interest charges due on all the past money that was borrowed (into existence) or else severe stress will show up within our banking system. In other words, our monetary system is a textbook example of a compounding (or exponential) function.

Yeast in a vat of sugar water, lemming populations, and algal blooms are natural examples of exponential functions. Plotted on graph paper they start out slowly, begin to rise more quickly and then, suddenly, the line on the paper goes almost straight up threatening to shoot off the paper and ruin your new desk surface. Fortunately, before this happens, the line always reverses somewhat violently back to the downside. Unfortunately this means that our monetary system has no natural analog upon which we can model a happy ending.







When comparing the two graphs above you are probably immediately struck by the fact that one refers to a nearly mythical creation especially revered at Christmas time while the other is a graph of reindeer populations. You may have also noticed that our money supply looks suspiciously like any other exponential graph except it hasn’t yet transitioned into the sharply falling stage.

To get the best possible understanding of the issues involved in exponential growth, while spending only 10 minutes doing so, please read this supremely excellent transcript of a speech given by Dr. Albert Bartlett. If, like me, your lips move when you read, it may take 15 minutes but I’d still recommend it. In this snippet he explains all:

Bacteria grow by doubling. One bacterium divides to become two, the two divide to become 4, become 8, 16 and so on. Suppose we had bacteria that doubled in number this way every minute. Suppose we put one of these bacterium into an empty bottle at eleven in the morning, and then observe that the bottle is full at twelve noon. There's our case of just ordinary steady growth, it has a doubling time of one minuet, and it's in the finite environment of one bottle. I want to ask you three questions.

Number one; at which time was the bottle half full? Well, would you believe 11:59,one minute before 12, because they double in number every minute?

Second Question; if you were an average bacterium in that bottle at what time would you first realize that you were running out of space? Well let's just look at the last minute in the bottle. At 12 noon its full, one minute before its half full, 2 minutes before its ¼ full, then 1/8th, then a 1/16th. Let me ask you, at 5 minutes before 12 when the bottle is only 3% full and is 97% open space just yearning for development, how many of you would realize there's a problem?

And that’s it in a nutshell right there. Exponential functions are sneaky buggers. One minute everything seems fine, the next minute your flask is full and there’s nowhere left to grow.

So, who cares, right? Perhaps you’re thinking that it’s possible, just this one time in the entire known universe of experience, for something to expand infinitely, forever. But what happens if that’s not the case? What happens if a monetary system that must expand can’t? Then what? How might that end come about? And when? For an excellent description of this process, please read this article by Steven Lachance.

A debt-based monetary system has a lifespan-limiting Achilles heel: as debt is created through loan origination, an obligation above and beyond this sum is also created in the form of interest. As a result, there can never be enough money to repay principal and pay interest unless debt is continually expanded. Debt-based monetary systems do not work in reverse, nor can they stand still without a liquidity buffer in the form of savings or a current account surplus.

When interest charges exceed debt growth, debtors at the margin are unable to service their debt. They must begin liquidating.

Mr. Lachance reveals the mathematical limit as being the moment that new debt creation falls short of existing interest charges. When that day comes, a wave of defaults will sweep through the system. Which is why our fiscal and monetary authorities are doing everything they can to keep money/debt creation robust.

But it’s a losing game and they are only buying time. How do I know? Because nothing can expand infinitely forever. The evidence clearly points to exponentially rising levels of money and credit creation. As the bacterium example shows, once an exponential function gets rolling along, its self-reinforcing nature quickly takes over requiring larger and larger aggregate amounts even as the percentage remains seemingly tame.

Similarly, our supremely wealthy suffer only from an inability to spend what they ‘earn’ on their capital (interest & dividend income) which means their principal is compounding. But, because each dollar is loaned into existence, it means that when Bill Gates ‘earns’ $2 billion on his holdings a whole lot of people somewhere else had to borrow that $2 billion. Taken to its logical extreme, and without enforced redistribution, this system would ultimately conclude with one person owning all of the world’s wealth. Game over, time for a Jubilee, hit the reset button and start again.

When we started our monetary system, nobody ever thought that we would fill up our empty bacterium bottle. Nobody really thought through what it would mean to society once wealthy people earned more in interest & dividends than they could possibly spend. Nobody considered if it was wise to place 100% of our economic chips into a monolithic banking system that requires perpetual, endless growth in order to merely function.

So we must ask ourselves; does it seem possible that our money supply can continue to double every 6 years forever? How about another 100 years? How about another 6? What will it feel like when we are adding another $1 trillion every month, week, day, and then finally hour?

Just remember, money is supposed to be a store of value or, said another way, a store of human effort. Currently it seems to be failing at meeting that characteristic and therefore is failing at being money.

Who ever thought that oil production would hit a limit? Who knew that every acre of arable land, and then some, would someday be put into production? How could we possibly fish the seas empty?

We have parabolic money on a spherical planet. The former demands perpetual growth while the latter has definitive boundaries. Which will win?

What will happen when a system that must grow can’t? How will an economic paradigm so steeped in the necessity of expansion that economists unflinchingly use the term ‘negative growth’, suddenly evolve into an entirely new system? If compound interest based monetary systems have a fatal math problem, what will banks do if they can’t charge interest? And what shall we replace them with?

Since I’ve never read a single word on the subject, I suspect there’s even less interest in exploring this subject by our ‘leaders’ than there is in being honest about our collective $53 trillion federal shortfall.

I am convinced that our monetary system’s encounter with natural and/or mathematical limits will be anything but smooth, possibly fatal, and I have placed my bets accordingly. It seems that our money system is thoroughly incompatible with natural laws and limits and therefore destined to fail.

Now you know why I have entitled my economic seminar series “The End of Money”.

But the end of something is always the beginning of something else. Where's our modern day Adam Smith? We need a new economic model.

The greatest shortcoming of the human race is our inability to understand the exponential function. ~Dr. Albert Bartlett

Best,

Chris Martenson