<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">OALibJ</journal-id><journal-title-group><journal-title>Open Access Library Journal</journal-title></journal-title-group><issn pub-type="epub">2333-9705</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/oalib.1103959</article-id><article-id pub-id-type="publisher-id">OALibJ-79840</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Biomedical&amp;Life Sciences</subject><subject> Business&amp;Economics</subject><subject> Chemistry&amp;Materials Science</subject><subject> Computer Science&amp;Communications</subject><subject> Earth&amp;Environmental Sciences</subject><subject> Engineering</subject><subject> Medicine&amp;Healthcare</subject><subject> Physics&amp;Mathematics</subject><subject> Social Sciences&amp;Humanities</subject></subj-group></article-categories><title-group><article-title>
 
 
  A “Citation Surplus” Should Be Added to the &lt;i&gt;h&lt;/i&gt;-Index
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Sergio</surname><given-names>Da Silva</given-names></name><xref ref-type="aff" rid="aff1"><sub>1</sub></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><aff id="aff1"><label>1</label><addr-line>Department of Economics, Federal University of Santa Catarina, Florianopolis, Brazil</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>professorsergiodasilva@gmail.com</email></corresp></author-notes><pub-date pub-type="epub"><day>11</day><month>10</month><year>2017</year></pub-date><volume>04</volume><issue>10</issue><fpage>1</fpage><lpage>5</lpage><history><date date-type="received"><day>21,</day>	<month>September</month>	<year>2017</year></date><date date-type="rev-recd"><day>22,</day>	<month>October</month>	<year>2017</year>	</date><date date-type="accepted"><day>25,</day>	<month>October</month>	<year>2017</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  The 
  h
  -index is the largest number 
  h
   such that 
  h
   publications have at least 
  h
   citations. The index reflects both the number of publications and the number of citations per publication. One unperceived deficiency of this metric is that it is Pareto-inefficient. A “citation surplus” would be absent and, thus, the 
  h
  -index would be efficient for a researcher if all his 
  h
   papers that are equal or above his 
  h
  -index received exactly 
  h
   
  citations. This inefficiency would not be of great concern if those 
  h
   papers were normally distributed. However, the rank from top to bottom does not decay exponentially. The decay follows the power law known in the literature as Lotka’s law. To remedy this deficiency, I suggest the 
  h
  -index be supplemented by a researcher’s citation surplus.
 
</p></abstract><kwd-group><kwd>&lt;i&gt;h&lt;/i&gt;-Index</kwd><kwd> Scientific Productivity</kwd><kwd> Scientometrics</kwd><kwd> Pareto-Efficiency</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>Cite this paper</title><p>Da Silva, S. (2017) A “Citation Surplus” Should Be Added to the h-Index. Open Access Library Journal, 4: e3959. https://doi.org/10.4236/oalib.1103959</p></sec></body><back><ref-list><title>References</title><ref id="scirp.79840-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Hirsch, J.E. (2005) An Index to Quantify an Individual’s Scientific Research Output. PNAS, 102, 16569-16572. https://doi.org/10.1073/pnas.0507655102</mixed-citation></ref><ref id="scirp.79840-ref2"><label>2</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Lotka</surname><given-names> A.J. </given-names></name>,<etal>et al</etal>. (<year>1926</year>)<article-title>The Frequency Distribution of Scientific Productivity</article-title><source> Journal of the Washington Academy of Sciences</source><volume> 16</volume>,<fpage> 317</fpage>-<lpage>323</lpage>.<pub-id pub-id-type="doi"></pub-id></mixed-citation></ref></ref-list></back></article>