rec-index
The rec-index (Levene et al. 2019) is the area of the largest rectangle which can fit under the citation curve; similar to how h2 is the area of the largest square.
Example
Publications are ordered by number of citations, from highest to lowest.
| Citations (Ci) | 57 | 26 | 16 | 12 | 11 | 10 | 4 | 3 | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Rank (i) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 |
| i×Ci | 57 | 52 | 48 | 48 | 55 | 60 | 28 | 24 | 18 | 10 | 11 | 12 | 13 | 0 | 0 | 0 | 0 | 0 |
The largest rectangle which can fit under the citation curve has an area of 60.
History
| Year | rec |
|---|---|
| 1997 | 2 |
| 1998 | 9 |
| 1999 | 28 |
| 2000 | 35 |
| 2001 | 60 |
| 2002 | 115 |
| 2003 | 135 |
| 2004 | 266 |
| 2005 | 384 |
| 2006 | 585 |
| 2007 | 760 |
| 2008 | 930 |
| 2009 | 1086 |
| 2010 | 1266 |
| 2011 | 1512 |
| 2012 | 1824 |
| 2013 | 2133 |
| 2014 | 2436 |
| 2015 | 2712 |
| 2016 | 3068 |
| 2017 | 3264 |
| 2018 | 3367 |
| 2019 | 3598 |
| 2020 | 3878 |
| 2021 | 4095 |
| 2022 | 4215 |
| 2023 | 4368 |
| 2024 | 4550 |
| 2025 | 4550 |
References
- Levene, M., T. Fenner, and J. Bar-Ilan (2019) Characterisation of the χ-index and the rec-index. Scientometrics 120:885-896.