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Abbreviations
- \(\overline \psi\) :
-
model state variables
- \({\overline \psi ^{\rm{o}}}\) :
-
observed state variables
- t :
-
time
- \(\bar r\) :
-
space coordinates
- ā:
-
parameter set
- \(\bar \theta\) :
-
normalized parameter set
- \(\bar \eta\) :
-
(weighted) residuals
- s :
-
cubic splines
- \(\bar \bar J\) :
-
(weighted) sensitivity matrix (Jacobian)
- λ:
-
Marquardt parameter
- i :
-
state variables (i = 1, 2, …, n)
- j :
-
sampling times (j = 1, 2, …, m i )
- k :
-
estimatable parameters (k = 1, 2, …, p)
- r :
-
iterations in parameter search (r = 0, 1, 2, …)
- ¯:
-
(single bar) vector quantity
- \(\bar \bar\) :
-
(double bar) matrix
- T :
-
transposition
- 0 :
-
(zero) initial guess, and
- o :
-
observed value
References
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Mejer, H., Jørgensen, S.E., and Kamp-Nielsen, L. (1980b). A sediment phosphorus model. Proceedings of the Task Force Meeting on Lake Balaton Modeling. Veszprém. 27–30 August, 1979. Vol. II, pp. 104–131.
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© 1983 International Institute for Applied Systems Analysis, Laxenburg/Austria
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Mejer, H., Jørgensen, L. (1983). Identification Methods Applied to Two Danish Lakes. In: Beck, M.B., van Straten, G. (eds) Uncertainty and Forecasting of Water Quality. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82054-0_7
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DOI: https://doi.org/10.1007/978-3-642-82054-0_7
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