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dynamic discounted cumulated impact (mild decay)

The dynamic discounted cumulated impact index (Järvelin and Pearson 2008; Ahlfren and Järvelin 2010) is an addendum to the discounted cumulated impact (mild decay) which cumulates across different time intervals, rather than a single fixed interval. Formally, it is a vector defined as:

$$\text{dDCI}_Y\left[j\right]=DCI_j\left[j\right] ,$$

where DCIj[j] is essentially the last item in the DCI vector for time interval j. When calculated for a career, where each subsequent interval is the length of the career up to that point, the values calculated for earlier career points are identical those same intervals for later career points, thus we just report the final value for each year, with all values up to that year actually representing the full dDCI vector.

Because DCI can be calculated with varying degrees of citation decay, dDCI is also dependent on this same decay. This version is calculated from the DCI index with a mild decay of b = 10.

History

YeardDCI (b = 10)
19972.0000
199816.0000
199944.0000
200085.0000
2001148.0000
2002258.0000
2003399.0000
2004639.0000
2005942.0000
20061351.0000
20071789.0000
20082251.9205
20092744.2968
20103350.6553
20114050.6289
20124736.5392
20135495.8064
20146197.7130
20156898.9172
20167595.9900
20178205.9484
20188819.2634
20199424.4050
202010030.5107
202110669.2741
202211274.6578
202311786.1216
202412294.1292
202512495.5146

References