Journal article

Estimation of parameters in complex 15N tracing models by Monte Carlo sampling


Authors listMüller, C; Rütting, T; Kattge, J; Laughlin, RJ; Stevens, RJ

Publication year2007

Pages715-726

JournalSoil Biology and Biochemistry

Volume number39

Issue number3

ISSN0038-0717

DOI Linkhttps://doi.org/10.1016/j.soilbio.2006.09.021

PublisherElsevier


Abstract
The most widely used method to quantify gross N transforination rates in soils is based on N-15 dilution and enrichment principles. To identify rate parameters, N-15-tracing experiments are analysed by models that are linked to algorithins that try to minimize the misfit between modelled and observed data. In Currently available N-15-tracing models optimization algorithms are based oil the Levenberg-Marquardt method that is suitable for the determination of small number of parameters. Therefore, these models are restricted to a few processes. Methods based on Monte Carlo sampling have the potential to overcome restrictions on parameter numbers but have not been tested for application in N-15-tracing models. Here, for the first time, we use a Markov chain Monte Carlo (MCMC) method with a tracing model to simultaneously determine the probability density functions (PDFs) of the whole set of parameters for a previously published data set [Muller, C., Stevens, R.J., Laughlin, R.J., 2004. A N-15 tracing model to analyse N transformations in old grassland soil. Soil Biology & Biochemistry 36, 619-632]. We show that the MCMC method can simultaneously determine PDFs of more than 8 parameters and demonstrate for the first time that it is possible to optimize models where transformations are described by Michaelis-Menten kinetics. Setting the NH4+ oxidation rate to Michaelis-Menten kinetics reduced the misfit by 19%. Together with monitoring diagnostics for parameter convergence, the MCMC method is a very efficient and robust technique to determine PDFs for parameters in N-15-tracing models that Contain large number of N transformations and complex process descriptions. (c) 2006 Elsevier Ltd. All rights reserved.



Citation Styles

Harvard Citation styleMüller, C., Rütting, T., Kattge, J., Laughlin, R. and Stevens, R. (2007) Estimation of parameters in complex 15N tracing models by Monte Carlo sampling, Soil Biology and Biochemistry, 39(3), pp. 715-726. https://doi.org/10.1016/j.soilbio.2006.09.021

APA Citation styleMüller, C., Rütting, T., Kattge, J., Laughlin, R., & Stevens, R. (2007). Estimation of parameters in complex 15N tracing models by Monte Carlo sampling. Soil Biology and Biochemistry. 39(3), 715-726. https://doi.org/10.1016/j.soilbio.2006.09.021


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