# Michael S. Rosenberg’s Laboratory

Computational Evolutionary Biology & Bioinformatics

E-mail: msr@asu.edu
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## 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.

Yearm
19971.0000
19981.0000
19991.0000
20001.2500
20011.2000
20021.1667
20031.2857
20041.3750
20051.4444
20061.5000
20071.5455
20081.5833
20091.7692
20101.7143
20111.7333
20121.6875
20131.7059
20141.7778
20151.7895
20161.7500
20171.6667