November 15, 2006

Collapse and chaos theory

I don't normally post twice in one day, but I didn't want to lose the thought.The past three Keep the Joint Running columns have been based on Jared Diamond's Collapse: How Societies Choose to Fail or Succeed (see "Collapsible business lessons," 11/6/2006). A friend, reading them, suggested that usually, negative feedback loops will act to prevent collapse.That's when it occurred to me: The mathematics of negati



I don't normally post twice in one day, but I didn't want to lose the thought.

The past three Keep the Joint Running columns have been based on Jared Diamond's Collapse: How Societies Choose to Fail or Succeed (see "Collapsible business lessons," 11/6/2006). A friend, reading them, suggested that usually, negative feedback loops will act to prevent collapse.

That's when it occurred to me: The mathematics of negative feedback covers the Collapse effect nicely. It works like this: If you take the basic logistics equation (x at time (n+1) = max(rx(1-x),0)) and play with the parameters, you'll find that for a wide variety of conditions (so long as x is a fraction and r is less than 2.2 or so) you'll end up with a stable system.

Now, delay the feedback (make it x at time (n+2) or (n+3) = the formula). The result is that the system destabilizes - it grows unpredictably and wildly, then crashes to zero.

This is exactly what happens in Collapse situations: The factors that should lead to moderation of population growth don't happen immediately, and so they go unrecognized. The feedback is delayed, and the result is chaos and collapse.

The lesson is clear, really pretty obvious, and applies to a wide variety of situations: Make decisions based on current information, not what was true a year or two ago. Situations change, and if you don't notice the change, what you "know" is what used to be true, not what's true right now.

- Bob
additional resources
White Paper - How to Improve Delivery of Advanced Web Applications

White Paper

Virtual Workforce: The Key to Expanding The Business While Cutting Costs

Get the independent advice and expertise you need to support a virtual workforce.

Go inside:
The three-step approach to making a virtual workforce a reality.
The four flavors of client virtualization technologies.
The three key initiatives that solve IT challenges.
Download now »
White Paper: Successfully Secure Your Wireless LAN With Wi-Fi firewalls.

White Paper

Addressing Linux Threats Leveraging Fewer Resources

The increase in Linux popularity has increased the frequency and sophistication of malware attacks. Read this 2 page white paper now to learn how you can protect your Linux environment with real-time protection that is certified by all major Linux vendors.

Download now »
White Paper - The 2009 Handbook of Application Delivery

White Paper

The 2009 Handbook of Application Delivery

Ensuring acceptable application delivery will become even more difficult over the next few years. As a result, IT organizations need to ensure that the approach that they take to resolving the current application delivery challenges can scale to support the emerging challenges. This handbook elaborates on the key tasks associated with planning, optimization, management and control and provides decision criteria to help IT organizations choose appropriate solutions.

Download now »
White Paper - Is Your Backup System Outdated?

White Paper

Mid-range Storage Considerations

A common misconception is that mid-range storage requirements are dramatically different than that of a larger enterprise. Mid-range storage users may require less capacity, but they have similar functionality and management requirements. This ESG paper examines mid-range storage needs and reviews a new solution that adjusts size while retaining value, performance and functionality.

Download now »

Sign up to receive InfoWorld Resource Alerts

Subscribe to the Lewis: Advice Line Newsletter

The one-stop resource center for IT professionals.

©1994-2010 Infoworld, Inc.