recI, recP
The [recI, recP] metrics (Levene et al. 2020) are a two-dimensional expansion of the rec-index, where recI is the largest vertical (influential) rectangle that can fit under the citation curve and recP is the largest horizontal (prolific) rectangle that can fit under the citation curve. The minimum size of both is the area of the h-square; the larger of the two is equal to the rec-index.
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 |
| h = 6 | ||||||||||||||||||
| i×Ci | 57 | 52 | 48 | 48 | 55 | 60 | ||||||||||||
| recI | ||||||||||||||||||
| min(h, Ci) | 6 | 4 | 3 | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | |||||
| min(h, Ci)×i | 36 | 28 | 24 | 18 | 10 | 11 | 12 | 13 | 0 | 0 | 0 | 0 | 0 | |||||
| recP |
History
| Year | [recI, recP] |
|---|---|
| 1997 | [1, 2] |
| 1998 | [9, 9] |
| 1999 | [28, 12] |
| 2000 | [35, 25] |
| 2001 | [60, 36] |
| 2002 | [115, 56] |
| 2003 | [135, 110] |
| 2004 | [266, 165] |
| 2005 | [376, 234] |
| 2006 | [580, 272] |
| 2007 | [760, 384] |
| 2008 | [924, 462] |
| 2009 | [1080, 600] |
| 2010 | [1266, 650] |
| 2011 | [1512, 812] |
| 2012 | [1824, 1024] |
| 2013 | [2142, 1089] |
| 2014 | [2436, 1156] |
| 2015 | [2712, 1225] |
| 2016 | [3068, 1260] |
| 2017 | [3264, 1369] |
| 2018 | [3367, 1369] |
| 2019 | [3584, 1369] |
| 2020 | [3864, 1444] |
| 2021 | [4080, 1560] |
| 2022 | [4200, 1681] |
| 2023 | [4354, 1764] |
| 2024 | [4508, 1806] |
References
- Levene, M., M. Harris, and T. Fenner (2020) A two‑dimensional bibliometric index reflecting both quality and quantity. Scientometrics.