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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
199814.0000
199944.0000
200078.0000
2001141.0000
2002254.0000
2003397.0000
2004635.0000
2005932.0000
20061343.0000
20071790.0000
20082248.9205
20092746.3763
20103342.7225
20114045.9650
20124736.1032
20135490.4477
20146191.3455
20156894.6267
20167594.0069
20178193.1499
20188815.2699
20199410.4131
202010007.3250
202110642.3250
202211239.7898
202311742.1667
202411704.3033

References