The yield formula and bradford's law

Jan H. Haspers

Journal of the American Society for Information Science, 1976, vol. 27, issue 5, 281-287

Abstract: The relation between a number of n top producing journals and their cumulative yield R(n)—articles, loans—is expressed by a yield graph (Figs. 1 and 3). Graphically, by linearization of the yield graph (Figs. 2 and 4), the following yield formula is deduced (Fig. 5): \documentclass{article}\pagestyle{empty}\begin{document}$ R\left(n \right) = h\log \left({\frac{n}{u} + 1} \right) + R\left(0 \right)\;{\rm for}\,n \ge 0 $\end{document} h, u and R(0) are constants. The yield formula needs three constants to fit the observed data, while Bradford's formulations suffice with two constants. Bradford's verbal formulation is a particular case of the yield formula, namely for R(0) = 0. Linearization of the yield graph will be achieved by plotting R(n) against log (n + u). A method for the estimation of the number of “core” journals is given.

Date: 1976
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