Showing posts from March, 2011

Uniformitarianism and the Fractal

Uniformitarianism : The key to the past can be found in the present. I have a strong interest in geography and geology, and it was here that I first read of Hutton’s uniformity. After teaching development economics, I soon found that this principle may be more universal and may show up in economics, too. The law of uniformitarianism reveals itself in the fractal. To describe a fractal, one would eventually cover the principle, only instead of reading as above—the key to the past can be found in the present—it would read as the key to the present (scale) can be found in the small scale—or conversely, the large scale, assuming a ceteris paribus approach (holding all else constant or frozen). In the tree fractal below, the new (present) cross-section line b-b will share the same (but different) as the old (past) cross-section line a-a. Scale is the only difference in time (age) and size. Fractal Demonstration of Uniformity It is another insight into the fundamental characteristi

Macro and Micro and the Fractal

Updated 29th Nov 2012 There are many insights - in relation to macro/micro - that can be taken from the fractal. Firstly, and importantly, when viewing a fractal (in isolation) scale cannot be discerned, the object maybe any size at all, from infinity small to infinitly large; the object shares the fractal charactoristic of being 'same' but 'different' at every scale. The object's shape can be discerned, and from this, an attempt can be made to deduce an understanding of the process to produce it. The object is the 'same'; the examples are infinitely 'different'. Examples: income, wealth, trade, selection, reproduction, specialisation and so on. We see the same but different - at all scales. These principles repeat throughout the universe and are central to biology, chemistry, and physics. This observation sheds light on whether there is a distinction between micro and macro: the fractal shows us that there may be no real separation between th

Fractal Long Run Short Run

The fractal demonstrates the economic short-run and the long-run In line with the classical economic view of the short run and the long run - best demonstrated by images of  cost curves - the fractal is the math of the said phenomena. Short Run: The development and growth of the fractal from iteration 1 to the equilibrium iteration is the fractal (economic) Short Run. The Short Run is the effect of the starting rule, e.g., branching or adding triangles. The Long Run: The Long Run is the end state, the total superposition, where all the infinite possibilities are shown: the state where the equilibrium iteration shape is set—to the fully developed tree or snowflake.