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Entropy 2012, 14(12), 2413-2426; doi:10.3390/e14122413
Article

The Extension of Statistical Entropy Analysis to Chemical Compounds

1
, 1,2
 and 1,2,*
1 Centre for Water Resource Systems, Vienna University of Technology, Karlsplatz 13/E222, A-1040 Vienna, Austria 2 Institute for Water Quality, Resource and Waste Management, Vienna University of Technology, Karlsplatz 13/226, A-1040 Vienna, Austria
* Author to whom correspondence should be addressed.
Received: 23 August 2012 / Revised: 25 September 2012 / Accepted: 26 November 2012 / Published: 28 November 2012
(This article belongs to the Special Issue Concepts of Entropy and Their Applications)
Download PDF [524 KB, 24 February 2015; original version 24 February 2015]

Abstract

Statistical entropy analysis (SEA) quantifies the dilution and concentration of conservative substances (e.g., heavy metals) in a system. In this paper, the SEA concept is extended (eSEA) to make it applicable to systems in which the chemical speciation is of particular importance. The eSEA is applied to a simplified region used for crop farming. The extent to which the region concentrates or dilutes nitrogen compounds is expressed as the change in statistical entropy (DH). A detailed derivation for the calculation of DH is provided. The results are discussed for four variations of the crop farming system, showing that the efficiency of crop farming can be expressed by eSEA.
Keywords: chemical compounds; concentrating power; crop farming; diluting extent; evaluation; nitrogen; statistical entropy chemical compounds; concentrating power; crop farming; diluting extent; evaluation; nitrogen; statistical entropy
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Sobańtka, A.P.; Zessner, M.; Rechberger, H. The Extension of Statistical Entropy Analysis to Chemical Compounds. Entropy 2012, 14, 2413-2426.

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