Showing posts with label extrapolation. Show all posts
Showing posts with label extrapolation. Show all posts

Wednesday, September 28, 2011

Prediction: There's No Single Method.

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In my most recent post about using simple linear extrapolation as one of many possible tools which could prove useful in forecasting and preparing for certain events, I'm afraid that I made the terrible mistake (it isn't my first, and will not be my last) of failing to issue a whole roster of circumstances where this approach would not be ideal (if applicable at all), with an accompanying list of limiting parameters where this approach might certainly need to be adjusted significantly if not discarded altogether.

My intention [and perhaps the road to Hell is paved with good intentions] was to cite one very simple approach to discerning a trending pattern and where it might lead. I apparently mislead at least one reader into believing that I thought that linear extrapolation was the absolute best means to make predictions. Now, I hang my head in shame. The linear extrapolation approach to predicting the future has the following limitations, to state just several of a vast number:

1) It assumes a constant (linear) rate of growth or decline over time, which is seldom the case -- the patterns of history do not necessarily repeat themselves, rates of growth and decline are subject to variation, as are many other items. These factors may render our initial projection assumptions invalid;

2) It does not provide for changes in technology, resource availability, demand, competition, regulation, obsolescence, economic markets (fundraising, the cost of capital, the money supply, interest rates, and the like), natural disasters, amazing breakthroughs or the intervention on the part of the futurist making the prognostication in influencing the results via a mechanism correlative with the notion of a self-fulfilling prophesy;

3) It  does not provide for limited markets, holding capacities, or changes in either of these.

In a comment that I received regarding my now infamous post, Xamuel (whose insightful quote is printed below, unretouched) set me straight. Both The Global Futurist and Douglas E Castle humble ourselves before you, and apologize for misleading any of our readers. We also offer our sincere thanks for having this pointed out to us and our readers. Your input, negative, positive or neutral, is welcomed and encouraged. We learn from our mistakes.
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Xamuel said...
Linear extrapolation might work sometimes in, say, climatology. It's not going to predict the future worth a hill of beans, though. It completely misses any revolutionary new development-- by its very nature! Even besides that, it has a bad habit of ignoring holding capacities (say), and predicting (e.g.) that a sample of bacteria will rapidly fill up the entire universe.
Although I have been told never to make generalizations, I will take exception with this advice with reference to Futurists (and those people who love them): There is no single method for prediction. There are many approaches, but each has its own inherent limitations. My approach to drawing a futurescape involves a great deal of imagination, a great deal of data collection, and a combination of a large number of approaches, each with its own respective strengths and weaknesses.
Sadder still is the fact that unpredictable events happen during the course of the extrapolation period (which makes any forecast a moving target) which cause a need for us to re-evaluate our assumptions and our methods to be changed dynamically. Forecasting requires constant monitoring, adjustment and correction for the effects of reactive intervention or interference, self-fulfilling prophesies, and other recursive variables that blur the line between predicting the future and causing the future.

Tuesday, September 27, 2011

Forecasting Simplified - Growth Rate Extrapolation

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In generating predictions about the future, one of the mechanical mathematical operations we often use is simple linear extrapolation. This approach is very elegant, very conservative, and is broadly applicable to a myriad of  forecasting situations involving relative (differing) rates of growth. For example, if we are attempting to project what our company's gross profit margin on sales will be in three years, we might collect historical data about our price per unit sold (one variable) and about our direct cost per unit sold (the other variable).

Based upon prior data, we might determine either an average or anticipated rate of growth per year in each of these two "competing" variables. If we simply graph the respective rates of growth in each of these two competitive variables (usually I prefer to use a compound interest growth formula) we can see the difference between the two at any given time by superimposing the graphs.

For an example of this, you might wish to visit my Braintenance Blog post, located at:
http://braintenance.blogspot.com/2011/09/real-economics-lesson-growth-rates.html .

Simply hit the "BACK" button on your browser to return when you've finished.

The reason that this growth rate extrapolation so useful is its simplicity in terms of citing and illustrating trends involving two or more variables. Generally speaking, the greater the difference in annual growth rates, and the greater the passage of time, the larger will be the gap between the two. In some situations the two lines will eventually converge and cross each other -- in others, the two distance between the two lines at any given point on one axis will simply continue to increase, and never converge.

If we now enjoy a gross profit margin of 30% (for illustrative purposes), but our price per unit can only be increased by 3% annually due to competitive or economic concerns while our direct materials supplier is one of the only sources of supply accessible to us, and that company has been consistently (despite our pleas for mercy, and our whining about college tuition for the kids, confiding about Aunt Tillie's desperately-needed life saving surgery, sharing our worst fears about how we'll soon actually be losing money on our sales of our principal product, and the like) raising costs at an average of 7.5% annually, we can estimate the amount of decrease in our margin at any given time in the future during the forecast timeframe, and we can even determine at what point our gross profit margin will simply be too small to continue our manufacturing and sales of that particular product.

The notion and application of differential growth rates is one of the most crucial steps to making any predictive analysis.

This type of procedure is incredibly simple -- the greatest challenge to the prognosticator is determining which growth rates are most appropriate [and sadly, in the real world, they are seldom linear], while the greatest challenges to leadership and management are to monitor these changes and to prepare an actionable agenda to prevent the fulfillment of these prophesies.

In The Global Futurist, we paint scenarios of the future if trends or tendencies are permitted to continue along their current paths. A proactive strategist can change the future by his or her early intervention. Free will and the prospect of precipitous action are the "Human Factor Wild Cards" that can alter the sequence and path of events that lead to the future. The future is never certain, as long as 1) forecasting is not an exacting science, and as long as 2) Human Beings can choose to act upon their expectations of the future and take the initiative to change outcomes.

Douglas E Castle [http://www.linkedin.com/in/douglascastle]

http://SendingSignals.blogspot.com

Thursday, August 11, 2011

Prediction: Science, Logic, Imagination, Intuition and C-Factors

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In order to predict the future and to effectively create and prepare for a futurescape, a fusion and balancing of several disciplines is necessary:

1) science and math (extrapolation of trends across a variety of sectors, and the unbiased use of all predictive systems -- some of which may seem illogical but which are none the less proven, effective predictors);

2) logical, critical thought (determining which trends to include and which are less relevant, as well as which elements are exogenous -- such as unexplainable but yet recurring "natural" waves and cycles -- and which are endogenous -- those which are cause and effect-based, and which may or may not be controllable based upon Human intervention);

3) imagination and vision (the ability to hypothesize, construct and visualize alternative futures);

4) intuition (an open-minded sensitivity or "connection" to what mystics, philosophers, theosophists and an increasing number of reluctant scientists are calling anything from the "collective consciousness" and the "Akashic records" to the "universal mind" or simply "prescience"); and

5) something I'll call the "C-Factors," categorically -- these are wild cards, natural or preternatural events and other factors which may impact us in certain seemingly unpredictable ways. Esoteric stuff, I'll admit.

Some have likened the effects of these C-Factors to those phenomena which exist by virtue of Complexity Theory (or Chaos Theory, for those from the original school of thought), where a tiny event can initiate a spiral or sequence of increasingly larger, seemingly unrelated events.

The best way to illustrate something that resembles (albeit crudely and metaphorically) this amazing type of perceptual effect would be certain giant symbols [usually carved into the Earth over many miles, or built to significant pyramid-like size and positioning] which can not be "understood" from walking around them on the ground, but which can be seen as symbols or other indicators only from a pilot's-eye view, i.e., from many miles from the Earth's surface.

This brings to mind many unexplained geological phenomena (Giza, Easter Island, "airstrips" in Peru, and countless others) which we call 'wonders' but which other sentient beings, from a much grander perspective might call 'communications' or 'language.'  These C-Factors must be given attention, and from any number of different perspectives, in order to determine what they might mean, and what they might cause.

We may, as mere Human Global Futurists, be likened to mites looking at one brick in a much larger structure. We may be foolish and conceited enough to believe that our perspective is the intended or grandest perspective.

We must be aware of our inherent limitations and biases when getting down to the business of prediction and preparation.

Returning briefly to the notion of the "C-Factor", or what we might collectively refer to as the "C-Factor Phenomenon."
Here's a wild card worth taking a look at -- solar storm activity, and its short-term possible effects as anticipated by some observers of such phenomena [it is interesting to note that no speculation is offered with respect to the longer-term effects of this type of solar activity]:

Latest Crisis: Solar Storms Are Set to Hit the Earth

The Atlantic WireBy 

Ujala Sehgal | The Atlantic Wire – Sat, Aug 6, 2011

It certainly seems like the world has been under attack lately. Now that "Debtaggedon" is over, Reuters is reporting that there have been three large explosions from the Sun over the past few days, and that "sun storms" are set to hit the Earth. The U.S. government, which is pretty pressed for time as it is right now, is warning "users of satellite, telecommunications and electric equipment to prepare for possible disruptions over the next few days." Or, as National Geographic informs us: "Storms are brewing about 93 million miles (150 million kilometers) away, and if one of them reaches Earth, it could knock out communications, scramble GPS, and leave thousands without power for weeks to months." [click here for more] ####

Hmmm...

Douglas E Castle

The Global Futurist [http://TheGlobalFuturist.blogspot.com]
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Sunday, July 25, 2010

The Misguided Notion of "TRENDING NOW" - Douglas Castle

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The Misguided Notion of "TRENDING NOW" - Douglas Castle

Dear Fellow Futurists and Friends:

The latest fad to stick itself between the eyes of every informationally overburdened and sensorially bombarded "gotta know everything now...gotta be up-to-the-minute...news monkey and aspiring corporate climber (despite the notable absence of ladders, steps, and destinations) is the "Trending Now" dynamic ticker that you can see on the homepages or opening pages of all of the major computer hosting and service providers (Google, Yahoo!, Bing, AOL, MSN and a growing number of others).

This feature, which is really a dynamically updated ranking of the top 10, 20 or 30 topics which are most frequently searched by the public at any given moment, is supposed to be extremely meaningful. If they were financial data, they might be useful, but all we can glean from these ticker displays are the fads of the moment. Ironically, they are not even trends -- they are ranked search frequencies as of the moment of measurement. The fact that so many of them change so rapidly attests to their volatility (perhaps a function of some combination of intensity of news story saturation and the fickle and limited nature of many people's attention spans.

Now if you were to isolate a particular search topic and follow its relative positioning daily over a length of time; or, if you were to codo the same thing with two different brands, or ideologies or atmospheric gases...well then, you would be citing a trend. A trend is a measurement of change or tendency in a particular variable over a period of time. The difference between a "Trending Now" display and a "Trend" per se is analogous to the difference between a point and a line.  A point can (possibly) be observed, but its direction is unknown. It takes several points to plot a trend line, or to plot two or more competitive trend lines in a comparative or correlative analysis of  brands or  products. And these points are gathered over time.

If you'd like to see a trend instead of a daily ranking (this is safe experiement which you can do at home without setting the house on fire or putting your kid brother's eye out), just use the same "Trending Now" report, choose a "hot" topic (i.e., Lady Gaga) and examine it daily to see which position it occupies daily. Plot a chart based upon rank. Then, as ranking rises or falls, you can site a trend, or direction. You may even plot a graph with percentage changes and other exciting (stifled yawn) metrics! See how easy this Futurism thing can be?

In Futurism, we do not seek to just 'get the point' -- we seek to find the best-fitting line, and extend it using a combination of skills.

NOTE: By the way, you'll likely notice that the fastest risers tend to plummet the most precipitously, while the slower climbers have a tendency to occupy a higher ranking position (on average) for longer.

Let's just remember that a momentary ranking is not indicative of a trend.

Class dismissed!

Faithfully, and wishing you a wonderfully vertical success path, I am,

Douglas Castle


Douglas Castle
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