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) | 47 | 26 | 19 | 15 | 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 | 47 | 52 | 57 | 60 | 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 | 8 |
| 1999 | 26 |
| 2000 | 35 |
| 2001 | 60 |
| 2002 | 110 |
| 2003 | 168 |
| 2004 | 273 |
| 2005 | 390 |
| 2006 | 580 |
| 2007 | 756 |
| 2008 | 930 |
| 2009 | 1080 |
| 2010 | 1254 |
| 2011 | 1392 |
| 2012 | 1708 |
| 2013 | 2124 |
| 2014 | 2385 |
| 2015 | 2497 |
| 2016 | 2868 |
| 2017 | 3012 |
| 2018 | 3146 |
| 2019 | 3354 |
| 2020 | 3601 |
| 2021 | 3850 |
| 2022 | 3934 |
| 2023 | 4041 |
| 2024 | 4068 |
References
- Levene, M., T. Fenner, and J. Bar-Ilan (2019) Characterisation of the χ-index and the rec-index. Scientometrics 120:885-896.