← Back to introduction

h-rate

Originaly defined by Hirsch (2005), this metric is also known as the m-quotient, m-ratio index, age-normalized h-index, and Carbon h-factor. It measures the rate at which the h-index has increased over the career of a researcher. It is calculated simply as:

$$m=\frac{h}{Y-Y_{0}+1},$$

where \(h\) is the h-index in year \(Y\) and \(Y_{0}\) is the year of the researcher's first publication (the denominator of this equation is the academic age of the researcher).

The above estimation is essentially just the slope of the line from the start of a researcher's career (0 publications, 0 citations) through the most recent estimate of their h-index.

History

Yearm
19971.0000
19981.0000
19991.0000
20001.2500
20011.2000
20021.3333
20031.5714
20041.5000
20051.6667
20061.7000
20071.7273
20081.7500
20091.9231
20101.8571
20111.9333
20122.0000
20131.9412
20141.8889
20151.8421
20161.7500
20171.7619
20181.6818
20191.6087
20201.5833
20211.6000
20221.5769
20231.5556
20241.5000