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The calibration of a phytoplankton growth model using batch culture data

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Abstract

The feasibility of applying nonlinear parameter estimation techniques to data from batch culture of phytoplankton is studied using simulated data. A Monod-type model for nutrient uptake and growth in phytoplankton is used for the simulation. A parameter estimation procedure is applied to these data before and after they are noise-corrupted, to obtain back-calculated values of the parameter in the model. The results indicate that nonlinear parameter estimation is well suited fpr analytical interpretation of batch-culture data.

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References

  • American Public Health Association: 1971, Standard Methods for the Examination of Water and Waste Water, 13th Edition. Wash., D.C., 874 pp.

  • Bard, Y.: 1967a. ‘A Function Maximization Method With Application to Parameter Estimation’, New York Scientific Center Report, 322.0902, IBM (May 1967).

  • Bard, Y.: 1967b, ‘Nonlinear Parameter Estimation and Programming’, SHARE Program Library, IBM #360D-13.6.003, 154 pp.

  • Bard, Y.: 1974, Nonlinear Parameter Estimation, Academic Press, New York, 341 pp.

    Google Scholar 

  • Caperon, J. W.: 1965, ‘The Dynamics of Nitrate Limited Growth of Isochrysis galbana Populations’, Ph.D. thesis, Scripps Institution of Oceanography, LaJolla, California, 71 pp.

    Google Scholar 

  • Caperon, J.: 1968, Ecology, 49, 866.

    Google Scholar 

  • Caperon, J. and Meyer, J.: 1972a, Deep-Sea Research, 19, 601.

    Google Scholar 

  • Caperon, J. and Meyer, J.: 1972b, Deep-Sea Research, 19, 619.

    Google Scholar 

  • Carroll, C. W.: 1961, Operations Research, 9, 169.

    Google Scholar 

  • Chen, C. W. and Orlob, G. T.: 1972, ‘Ecologic Simulation for Aquatic Environments’, Prepared for OWRR C-2044, WRE 1-0500, Final Report U.S. Dept. Int., 156 pp.

  • DiToro, D. M., O'Connor, D. J., and Thomann, R. V.: 1971, Nonequilibrium Systems in Natural Water Chemistry, American Chemical Society, Wash., D.C., pp. 131–180.

    Google Scholar 

  • Dowd, J. E. and Riggs, D. S.: 1965, J. Biol. Chem., 240, 863.

    Google Scholar 

  • Droop, M. R.: 1973a, J. Phycol., 9, 264.

    Google Scholar 

  • Droop, M. R.: 1973b, Amer. Zool., 13, 209.

    Google Scholar 

  • Dugdale, R. C.: 1967, Limnology and Oceanography, 12, 685.

    Google Scholar 

  • Eisenpress, H. and Greenstadt, J.: 1966, Econometrica, 34, 851.

    Google Scholar 

  • Eppley, R. W. and Coatsworth, J. L.: 1968, J. Phycol. 4, 151.

    Google Scholar 

  • Eppley, R. W. and Strickland, J. D. H.: 1968, Advances in Microbiology of the Sea, Vol. 1, Academic Press, London, pp. 23–62.

    Google Scholar 

  • Eppley, R. W. and Thomas, W. H.: 1969, J. Phycol., 5, 375.

    Google Scholar 

  • Eppley, R. W., Rogers, J. N., and McCarthy, J. J.: 1969, Limnology and Oceanography, 14, 912.

    Google Scholar 

  • Eppley, R. W., Reid, F. M. H., and Strickland, J. D. H.: 1970, Bull. Scripps. Instn. Oceanogr., 17, 33.

    Google Scholar 

  • Fuhs, G. W.: 1969, Phycology, 5, 312.

    Google Scholar 

  • Greenstadt, J.: 1967, Math Comp., 2, 360.

    Google Scholar 

  • Grenney, W. J., Bella, D. A., and Curl, H. C., Jr.: 1973, Biotechnology and Bioengineering, 15, 331.

    Google Scholar 

  • Maclsaac, J. J. and Dugdale, R. C.: 1969, Deep-Sea Research, 16, 45.

    Google Scholar 

  • MacIsaac, J. J. and Dugdale, R. C.: 1972, Deep-Sea Research, 19, 209.

    Google Scholar 

  • Phillips, O. M.: 1973, The American Naturalist, 107, 73.

    Google Scholar 

  • Prober, R., Haines, Y. Y., Teraguchi, M., and Mass, W. H.: 1972, Water-1971, A. L Ch. E. Symposium Series, 68, 402.

    Google Scholar 

  • Toetz, D. W., Varga, L. P., and Loughrian, E. D.: 1973, Ecology, 54, 903.

    Google Scholar 

  • Toerien, D. F. and Huang, C. H.: 1973, Water Research, 7, 1673.

    Google Scholar 

  • Williams, P. J. le B.: 1973, Limnology and Oceanography, 18,159.

    Google Scholar 

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Lederman, T.C., Hornberger, G.M. & Kelly, M.G. The calibration of a phytoplankton growth model using batch culture data. Water Air Soil Pollut 5, 431–442 (1976). https://doi.org/10.1007/BF00280844

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  • DOI: https://doi.org/10.1007/BF00280844

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