Friday, December 4, 2009

No Bandwidth Hogs?

Some would argue there is no "exaflood" and no such thing as a "bandwidth hog." 

I have no more detailed data from any Internet service provider than anybody else does, so I doubt anybody can prove or disprove the thesis definitively. But I also have no reason to think the usage curve will be anything other than a Pareto distribution, since so many common distributions in the physical and business world conform to such a distribution.
Vilfredo Pareto, an Italian economist, was studying the distribution of wealth in1906. What he found was a distribution most people would commonly understand as the "80/20 rule," where a disproportionate share of results come from 20 percent of actions. The Pareto distribution has been found widely in the physical and human worlds. It applies, for example, to the sizes of human settlements (few cities, many hamlets/villages). It fits the file size of Internet traffic (many smaller files, few larger ones).

It describes the distribution of oil reserves (a few large fields, many small fields) and jobs assigned supercomputers (a few large ones, many small ones). It describes the price returns on individual stocks. It likely holds for total returns from stock investments over a span of several years, as most observers point out that most of the gain, and most of the loss in a typical portfolio comes from changes on just a few days a year.

The Pareto distribution is what one finds when examining the sizes of sand particles, meteorites or numbers of species per genus, areas burnt in forest fires, casualty losses: general liability, commercial auto, and workers compensation.

The Pareto distribution also fits sales of music from online music stores and mass market retailer market share. The viewership of a single video over time fits the Pareto curve. Pareto describes the distribution of social networking sites. It describes the readership of books and the lifecycle value of telecom customers.

So knowing nothing else than that the Pareto distribution is so widely represented in the physical world and in business, I would expect to see the same sort of distribution in bandwidth consumption. As applied to users of bandwidth, Pareto would predict that a small number of users in fact do consumer a disproportionate share of bandwidth.

I certainly can't say for sure, but would be highly surprised if in fact a Pareto distribution does not precisely describe bandwidth consumption.

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