Bradford's law is a pattern first described by Samuel C. Bradford in 1934 that estimates the exponentially diminishing returns of extending a search for references in science journals. One formulation is that if journals in a field are sorted by number of articles into three groups, each with about one-third of all articles, then the number of journals in each group will be proportional to 1:n:n². There are a number of related formulations of the principle.

In many disciplines this pattern is called a Pareto distribution. As a practical example, suppose that a researcher has five core scientific journals for his or her subject. Suppose that in a month there are 12 articles of interest in those journals. Suppose further that in order to find another dozen articles of interest, the researcher would have to go to an additional 10 journals. Then that researcher's Bradford multiplier b_m is 2 (ie 10/5). For each new dozen articles, that researcher will need to look in b_m times as many journals. After looking in 5, 10, 20, 40, ... journals, most researchers quickly realize that there is little point in looking further.

Different researchers have different numbers of core journals, and different Bradford multipliers. But the pattern holds quite well across many subjects, and may well be a general pattern for human interactions in social systems. Like Zipf's law, to which it is related, we do not have a good explanation for why it works. But knowing that it does is very useful for librarians. What it means is that for each specialty it is sufficient to identify the "core publications" for that field and only stock those. Very rarely will researchers need to go outside that set.

However its impact has been far greater than that. Armed with this idea and inspired by Vannevar Bush's famous article As We May Think, Eugene Garfield at the Institute for Scientific Information in the 1960s developed a comprehensive index of how scientific thinking propagates. His Science Citation Index (SCI) had the effect of making it easy to identify exactly which scientists did science that had an impact, and which journals that science appeared in. It also caused the discovery, which some did not expect, that a few journals, such as Nature and Science, were core for all of hard science. The same pattern does not happen with the humanities or the social sciences - possibly because objective truth is so much harder to establish there, or because literature use in these fields is more diffuse, with less emphasis on journals.

The result of this is pressure on scientists to publish in the best journals, and pressure on universities to ensure access to that core set of journals.

Bradford's law is also known as Bradford's law of scattering and Bradford distribution. This law or distribution in bibliometrics can be applied to the World Wide Web.

Scattering

Hjørland and Nicolaisen (2005, p. 103) identified three kinds of scattering:

• Lexical scattering. The scattering of words in texts and in collections of texts.

• Semantic scattering. The scattering of concepts in texts and in collections of texts.

• Subject scattering. The scattering of items useful to a given task or problem.

They found that the literature of Bradford's law (including Bradford's own papers) are unclear in relation to which kind of scattering is actually being measured.

Related laws and distributions

• Benford's law, originally used to explain apparently non-random sampling

• Lotka's law, describes the frequency of publication by authors in any given field.

• Pareto distribution, originally representing the distribution of wealth among individuals in a capitalist economic system.

• Power law, a general mathematical form for "heavy-tailed" distributions, with a polynomial density function. In this form, these laws may all be expressed and estimates derived.

• Zeta distribution

• Zipf's law, originally used for word frequencies

• Zipf–Mandelbrot law

See also

• PageRank

• The Long Tail

Notes and references

• Bradford, S.C. "Sources of Information on Specific Subjects". Engineering: An Illustrated Weekly Journal (London), 137, 1934 (26 January), pages 85-86.

• Hjørland, B. & Nicolaisen, J. (2005). Bradford's law of scattering: ambiguities in the concept of "subject". Proceedings of the 5th International Conference on Conceptions of Library and Information Science: 96-106.

• Nicolaisen, J. & Hjørland, B. (2007). Practical potentials of Bradford's law: A critical examination of the received view. Journal of Documentation, 63(3): 359-377. Available at: http://dlist.sir.arizona.edu/2123/