contemporary h-index
The contemporary h-index (Sidiropoulos et al. 2007) is designed to give more weight to the citations of recent publications and less weight to the citations of older publications. In its most general form, the contemporary score for a specific publication is
$$S^C_i=\gamma \left(Y-Y_i+1\right)^{-\delta}C_i.$$The contemporary h-index for an author, hC, is calculated similarly to the standard h-index, in that an author has a score of hC if hC of their articles (ranked by SC) have SC ≥ hC.
$$h^C=\underset{i}{\max}\left(i \leq S^C_i\right)$$Sidiropuolos et al. (2007) set γ = 4 and δ = 1. These choices have the consequence of making this metric virtually identical to the hpd-index, except measured on a four year cycle rather than a decade.Example
Publications are ordered by adjusted number of citations, from highest to lowest.
| Citations (Ci) | 57 | 12 | 26 | 16 | 11 | 10 | 4 | 2 | 1 | 1 | 3 | 1 | 1 | 0 | 0 | 0 | 0 | 0 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Age (Y − Yi + 1) | 5 | 2 | 5 | 4 | 5 | 5 | 3 | 2 | 1 | 1 | 5 | 2 | 2 | 5 | 4 | 2 | 1 | 1 |
| Adjusted Citations (\(S^{C}_i\)) | 45.60 | 24.00 | 20.80 | 16.00 | 8.80 | 8.00 | 5.33 | 4.00 | 4.00 | 4.00 | 2.40 | 2.00 | 2.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| Rank (i) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 |
| hC = 6 |
The largest rank where \(i \leq S^{C}_i\) is 6.
History
| Year | hC |
|---|---|
| 1997 | 2 |
| 1998 | 4 |
| 1999 | 4 |
| 2000 | 6 |
| 2001 | 6 |
| 2002 | 8 |
| 2003 | 10 |
| 2004 | 12 |
| 2005 | 14 |
| 2006 | 16 |
| 2007 | 17 |
| 2008 | 20 |
| 2009 | 19 |
| 2010 | 22 |
| 2011 | 23 |
| 2012 | 22 |
| 2013 | 23 |
| 2014 | 23 |
| 2015 | 24 |
| 2016 | 25 |
| 2017 | 24 |
| 2018 | 24 |
| 2019 | 24 |
| 2020 | 24 |
| 2021 | 24 |
| 2022 | 25 |
| 2023 | 25 |
| 2024 | 25 |
References
- Sidiropoulos, A., D. Katsaros, and Y. Manolopoulos (2007) Generalized Hirsch h-index for disclosing latent facts in citation networks. Scientometrics 72(2):253–280.