Evolutionary Biological Data Science Laboratory

dynamic h-type-index

The dynamic h-type index (Rousseau and Ye 2008) is a measure of both the size of the core as well as how the core is changing through time. The basic index is

$$h_{dyn}=R\times v_h,$$where R is the R-index and v_h is a measure of the rate of change of the h-index through time. Rousseau and Ye (2008) suggest a number of ways to estimate v_h, including that it be determined over a fixed time interval (e.g., 5 or 10 years) to make it more contemporary. They also suggest one use the rational h rather than h because its finer grained resolution will allow for better estimates of the rate of change of h.

Here v_h for a given year is estimated as the slope of the regression of the rational h-index against year for all data points up through that year.

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