# Michael S. Rosenberg’s Laboratory

Computational Evolutionary Biology & Bioinformatics

E-mail: msr@asu.edu
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## scientist's level

The scientist's level (Mitropoulos 2009) is an attempt to quantitatively break scientist's into broad categories of advancement based on a combination of their total citations and publications. It is expressed as Lv, where v represent the overall level and L the progress within v. Functionally, these values are logarithmic decompositions of the sum of citations and publications, such that v represents the integer value of the (base 10) logarithm of the sum (i.e., v = 0 when the sum is less than 10, v = 1 when the sum is between 10 and 99, v = 2 when the sum is between 100 and 999, etc.), and L is the integer value of the sum divided by 10v (i.e., if v = 2, L = 1 if the sum is between 100 and 199, L = 2 if the sum is between 200 and 299, etc.).

$$v=\text{floor}\left[\log\left(C^P + P\right)\right]$$$$L^v=\text{floor}\left(\frac{C^P + P}{10^v}\right)$$

L can be any integer from 1 to 9, while v will generally be an integer between 0 and 5 (a v of 6 would require > 1 million combined citations and publications).

Because of this structure and the limited possible values of these measures, one could readily combine these into a single value as,

$$\text{level}=v.L=v + \frac{L}{10}.$$

YearLv = [v, L]
1997[0, 7]
1998[1, 1]
1999[1, 4]
2000[1, 7]
2001[2, 1]
2002[2, 2]
2003[2, 3]
2004[2, 6]
2005[2, 8]
2006[3, 1]
2007[3, 1]
2008[3, 1]
2009[3, 2]
2010[3, 2]
2011[3, 3]
2012[3, 3]
2013[3, 4]
2014[3, 4]
2015[3, 4]
2016[3, 5]
2017[3, 5]

## References

• Mitropoulos, A.C. (2009) Is it more difficult to write or to cite a paper? Journal of Engineering Science and Technology Review 2(1):68–70.