Michael S. Rosenberg’s Laboratory

Computational Evolutionary Biology & Bioinformatics

E-mail: msr@asu.edu
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career years h-index by average citations per year

The career years h-index by average citations per year (Mahbuba and Rousseau 2013) is similar to the other two career years h-indices, but is based on the average number of citations generated per publication per year, rather than on the total publications or total citations for each year. One creates a list of years ranked by average citation count per publication for all publications from that year. This list is then processed in the same manner as a typical h-type index, namely the career years h-index by average citations per year is the largest value h for which at least h years have publications with an average of h citations.

$$\text{career years }h\text{ by average citations per year}=\underset{i}{\max}\left(i\leq \frac{C_i}{P_i}\right).$$

Because the average number of citations will often not be an integer, the authors recommend interpolating between this and the next largest value, as with the real h-index, in order to more accurately estimate the metric.

$$h_{int}=\frac{\left(h+1\right)\frac{C_h}{P_h}-h\frac{C_{h+1}}{P_{h+1}}}{1-\frac{C_{h+1}}{P_{h+1}}+\frac{C_h}{P_h}}.$$

Example

Years are ordered by average number of citations per publication from that year, from highest to lowest.

Year (yi)19971998200019992001
Publications (Pi)51514
Citations (Ci)77114023
Average Citations per Publication(Ci/Pi)15.4011.008.002.000.75
Rank (i)12345
h = 3

The largest rank where i ≤ Ci/Pi is 3. The interpolated rank betweeen this and the next largest value is 3.89.

History

YearCareer years hint by avg cites
19971.0000
19982.0000
19992.4000
20003.5000
20013.8889
20025.6250
20035.9091
20046.8462
20057.5000
20068.6667
200710.2500
200811.4000
200911.4762
201012.5909
201113.7647
201214.4211
201314.7200
201415.2941
201515.7241
201615.7500
201715.7500

References