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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
199815.0000
199944.0000
200084.0000
2001145.0000
2002256.0000
2003399.0000
2004641.0000
2005946.0000
20061359.0000
20071796.0000
20082257.9205
20092752.3365
20103353.6889
20114058.6976
20124754.7173
20135510.0379
20146203.9120
20156905.0111
20167605.9167
20178217.5744
20188835.6724
20199436.6652
202010034.5592
202110687.3357
202211300.5242
202311809.4196
202412338.0986
202512347.5118

References