| Abstract: | Fractal properties of the Pareto probability distribution are used to generalize "the 20/80 law." The 20/80 law is a heuristic law that has evolved over the years into the following rule of thumb for many populations: 20 percent of the population accounts for 80 percent of the total value. The general p100/q100 law in probabilistic form is defined with q as a function of p, where p is the population proportion and q is the proportion of total value. Using the Pareto distribution, the p100/q100 law in fractal form is derived with the parameter q being a fractal, where q unexpectedly possesses the scale invariance property. The 20/80 law is a special case of the p100/q100 law in fractal form. The p100/q100 law in fractal form is applied to petroleum fieldsize data to obtain p and q such that p100% of the oil fields greater than any specified scale or size in a geologic play account for q100% of the total oil of the fields. The theoretical percentages of total resources of oil using the fractal q are extremely close to the empirical percentages from the data using the statistic q. Also, the empirical scale invariance property of the statistic q for the petroleum fieldsize data is in excellent agreement with the theoretical scale invariance property of the fractal q. ?? 1995 Oxford University Press. |
| Genre: | Article |
| ProdID: | 70018867 |
| Citation Author: | Crovelli, R. A. |
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| Citation End Page: | 241 |
| Citation Issue: | 3 |
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| Citation Language: | English |
| Citation Larger Work Title: | Nonrenewable Resources |
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| Citation Number Of Pages: | 9 |
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| Citation Search Results Text: | The generalized 20/80 law using probabilistic fractals applied to petroleum field size; 1995; Article; Journal; Nonrenewable Resources; Crovelli, R. A. |
| Citation Start Page: | 233 |
| Citation Volume: | 4 |
| Citation Year: | 1995 |
| Type: | citation/reference |
| Text: | The generalized 20/80 law using probabilistic fractals applied to petroleum field size; 1995; Article; Journal; Nonrenewable Resources; Crovelli, R. A. |
| URL (THUMBNAIL): | http://pubs.er.usgs.gov/thumbnails/outside_thumb.jpg |
| URL (DIGITAL OBJECT IDENTIFIER): | http://dx.doi.org/10.1007/BF02257575 |
| Date Other: | Sun, 1 Jan 1995 00:00 -0600 |
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