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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
2003400.0000
2004639.0000
2005941.0000
20061353.0000
20071795.0000
20082254.9205
20092749.3365
20103353.6889
20114056.6976
20124751.7173
20135507.0379
20146201.8723
20156906.0570
20167602.1537
20178212.0136
20188835.0867
20199434.1423
202010032.0924
202110679.8003
202211292.0134
202311798.9710
202412282.7044

References