## Welcome to Dijemeric Visualizations

Where photography and mathematics intersect with some photography, some math, some math of photography, and an occasional tutorial.

## Friday, February 10, 2012

### Predator - Prey: Part III - The Interactive Model

Forage (aka carrying capacity) feeds the deer; deer feed the wolves; wolves keep the deer herd in balance with the forage.  It's a nice model, but things don't always work that smoothly.  Two previous posts discuss a mathematical model written in Excel that interactively explores some of the possible outcomes given initial conditions of deer herd size, number of wolves, intrinsic growth rates of deer and wolves, and the carrying capacity and carrying capacity variance factor.  This latter is a random card designed to incorporate the unpredictable effects of climatic variation, forage decline, or other things that can change the amount of forage but are not predictable from one year to the next.

Previous posts on this topic are at:

http://misterkenblog.blogspot.com/2012/01/predator-vs-prey-mathematical-model.html
http://misterkenblog.blogspot.com/2011/12/predator-vs-prey-will-wolves-dominate.html

Ready to try you hand at creating your own scenarios?  A simplified interactive model programmed in an Excel spreadsheet is available for the curious in Google Docs at