**Page description appears here**

“Systematic Analysis of Parameter Identifiability for Improved Fitting of a Biological Wastewater Model to Experimental Data”

Authors: Cristina Ferrero Sarmiento, Qian Chai, Marta D. Dez, Sverre H. Amrani and Bernt Lie,
Affiliation: Telemark University College, Norsk Hydro and BioTek AS, Porsgrunn
Reference: 2006, Vol 27, No 4, pp. 219-238.

     Valid XHTML 1.0 Strict

Keywords: ASM2d, identifiability analysis, parameter estimation, model fitting

Abstract: In this paper, a general description of wastewater treatment based on activated sludge is given, with emphasis on the ASM2d model. Particular emphasis has been given to make the presentation readable without a too detailed prior knowledge of wastewater treatment. Next, a method for experimental parameter identifiability analysis is described. After a presentation of the wastewater treatment plant at Duvbacken in Gvle, Sweden, the experimental identifiability of the dynamic model is analyzed. Out of the 45 original parameters in the model, the analysis indicates that with the given experimental conditions, 12 parameters can be identified.

PDF PDF (219 Kb)        DOI: 10.4173/mic.2006.4.2

DOI forward links to this article:
  [1] Bernt Lie, David Di Ruscio, Rolf Ergon, Bjrn Glemmestad, Maths Halstensen, Finn Haugen, Saba Mylvaganam, Nils-Olav Skeie and Dietmar Winkler (2009), doi:10.4173/mic.2009.3.4
  [2] Long Ho, Cassia Pompeu, Wout Van Echelpoel, Olivier Thas and Peter Goethals (2018), doi:10.3390/w10101410

[1] BAILEY, J. E. OLLIS, D. F. (1986). Biochemical Engineering Fundamentals, Second edn, McGraw-Hill, New York.
[2] BARD, Y. (1974). Nonlinear Parameter Estimation, Academic Press, New York.
[3] BECK, J. V. ARNOLD, K. J. (1977). Parameter Estimation in Engineering and Science, Wiley, New York.
[4] BELSLEY, D. A. (1991). Conditioning Diagnostics, Collinearity and Weak Data in Regression. John Wiley and Sons, New York.
[5] BRUN, R., KHNI, M., SIEGRIST, H., GUJER, W. REICHERT, P. (2002). Practical identifiability of ASM2d parameters - systematic selection and tuning of parameter subsets, Water Research 36(16), 4113 - 4127 doi:10.1016/S0043-1354(02)00104-5
[6] BRUN, R., REICHERT, P. KNSCH, H. R. (2001). Practical identifiability analysis of large environmental simulation models, Water Resour. Res. 3.4, 1015 - 1030 doi:10.1029/2000WR900350
[7] DUENAS DIEZ, M., FJELD, M., ANDERSEN, E. LIE, B. (2006). Validation of a compartmental population balance model of an industrial leaching process: The Silgrain process, Chem. Engng. Sci. 61, 229 - 245 doi:10.1016/j.ces.2005.01.047
[8] HENZE, M., GUJER, W., MINO, T., MATSUO, T., WENTZEL, M. C., MARAIS, G. V. R. VAN LOOSDRECHT, M. C. M. (1999). Activated sludge model no 2d, ASM2D, Wat. Sci. Tech. 39(1), 165 - 182 doi:10.1016/S0273-1223(98)00829-4
[9] HENZE, M., GUJER, W., VAN LOOSDRECHT, M. C. M. MINO, T. (2000). Activated Sludge Models ASM1, ASM2, ASM2d and ASM3, Vol. 9 of Scientific and Technical Report, IWA Publishing.
[10] HENZE, M., HARREMOS, P., LA COUR JANSEN, J. ARVIN, E. (1996). Wastewater Treatment: Biological and Chemical Processes, Second edn, Springer, Berlin.
[11] HOLMBERG, A. (1982). On the parameter identifiability of microbial growth models incorporating michaelesmenten type nonlinearities, Math. Biosci. 62, 23 - 43 doi:10.1016/0025-5564(82)90061-X
[12] JEPPSON, U. (1993). On the verifiability of the activated sludge system dynamics, Tekn. lic. dissertation, Lund Institute of Technology.
[13] LJUNG, L. (1999). System Identification: Theory for the User, Second edn, Prentice Hall, Upper Saddle River, New Jersey.
[14] LJUNG, L. GLAD, S. T. (1994). On global identifiability for arbitrary model parameterizations, Automatica 30(2), 265 - 276 doi:10.1016/0005-1098(94)90029-9
[15] METCALF EDDY, I. (2003). Wastewater Engineering: Treatment and Reuse, Fourth edn, McGraw Hill, New York.
[16] OLSSON, G. NEWELL, B. (1999). Wastewater Treatment Systems, Modelling, Diagnosis and Control, IWA Publishing, London.
[17] POHJANPALO, H. (1978). System Identifiability Based on the Power Series Expansion of the Solution, Mathematical Biosciences 41, 21 - 33 doi:10.1016/0025-5564(78)90063-9
[18] RAWLINGS, J. B. EKERDT, J. G. (2002). Chemical Reactor Analysis and Design Fundamentals, Nob Hill Publishing, Madison, Wisconsin.
[19] SMITH, W. R. MISSEN, R. W. (1991). Chemical Reaction Equilibrium Analysis: Theory and Algorithms, Krieger Publishing Company, Malabar, Florida.
[20] SDERSTRM, T. STOICA, P. (1989). System Identification, Prentice Hall International.
[21] STEWART, G. (1987). Collinearity and least squares regression, Statistical Science .1, 68 - 84 doi:10.1214/ss/1177013439
[22] WALTER, E. PRONZATO, L. (1997). Identification of Parametric Models from Experimental Data, Springer.

  title={{Systematic Analysis of Parameter Identifiability for Improved Fitting of a Biological Wastewater Model to Experimental Data}},
  author={Sarmiento, Cristina Ferrero and Chai, Qian and Dez, Marta D. and Amrani, Sverre H. and Lie, Bernt},
  journal={Modeling, Identification and Control},
  publisher={Norwegian Society of Automatic Control}


Oct 2018: MIC reaches 3000 DOI Forward Links. The last 1000 took 2 years and 5 months.

May 2016: MIC reaches 2000 DOI Forward Links. The first 1000 took 34 years, the next 1000 took 2.5 years.

July 2015: MIC's new impact factor is now 0.778. The number of papers published in 2014 was 21 compared to 15 in 2013, which partially explains the small decrease in impact factor.

Aug 2014: For the 3rd year in a row MIC's impact factor increases. It is now 0.826.

Dec 2013: New database-driven web-design enabling extended statistics. Article number 500 is published and MIC reaches 1000 DOI Forward Links.

Jan 2012: Follow MIC on your smartphone by using the RSS feed.


July 2011: MIC passes 1000 ISI Web of Science citations.

Mar 2010: MIC is now indexed by DOAJ and has received the Sparc Seal seal for open access journals.

Dec 2009: A MIC group is created at LinkedIn and Twitter.

Oct 2009: MIC is now fully updated in ISI Web of Knowledge.