Michael S. Rosenberg’s Laboratory

Computational Evolutionary Biology & Bioinformatics

E-mail: msr@asu.edu
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j-index (Todeschini)

The j-index (Todeschini 2011) is a modification of the h-index which allows for over-cited publications in the core to increase the overall value of the index. It uses a set of fixed categorical increases over h:

k123456789101112
Δhk50025010050251054321.51.25
$$j=h+\frac{\sum\limits_{k=1}^{12}{w_kX_k\left(h\times \Delta h_k\right)}}{\sum\limits_{k=1}^{12}{w_k} } ,$$

where \(w_k\), the weight given to each category, is simply \(1/k\), and \(X_k\left(h \times \Delta h_k\right)\) is the count of publications whose citations are at least equal to \(h \times \Delta h_k\).

Essentially this metric adds additional scores to h for publications which are cited well more than that necessary for the core, with larger weight given to those much higher than the core value (500 times the core get a weight of 1, 250 times the core get a weight of 0.5, etc.).

Example

Publications are ordered by number of citations, from highest to lowest.

Citations (Ci)42361411993222111000
Rank (i)12345678910111213141516
h = 6

k123456789101112
Δhk50025010050251054321.51.25
h×Δhk3000150060030015060302418129.07.5
Count Cih×Δhk (Xk)000000222366
Weight (wk)1.000.500.330.250.200.170.140.120.110.100.090.08
wkXk0.000.000.000.000.000.000.290.250.220.300.550.50

The sum of wkXk = 2.1034 and the sum of wk = 3.1032, therefore j = 6 + 2.1034/3.1032 = 6.6778.

History

Yearj
19971.0000
19982.1803
19993.3257
20005.4112
20016.6778
20027.7935
20039.7703
200412.1640
200514.3768
200616.8052
200718.9074
200821.1863
200925.1645
201026.4376
201128.5540
201229.8242
201332.1643
201435.2275
201537.1586
201638.3459
201738.4342

References