2002
DOI: 10.1016/s0167-739x(02)00031-6
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Methods of sensitivity theory and inverse modeling for estimation of source parameters

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Cited by 32 publications
(24 citation statements)
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“…Monte Carlo simulation is computationally expensive for complex models so alternative techniques are sought to address this need. Variational methods using the model adjoint show promise for this purpose as they allow the tracking of influences backwards through the model (Penenko et al, 2002). However, although the technique is used in the meteorological and oceanography domain (Moore 1991;Rabier et al, 1996), very little work has been done in the physical infrastructure environmental/water or hydrological/floods areas, although it has potential, e.g.…”
Section: Use the Adjoint Methods In Hydrologymentioning
confidence: 99%
See 1 more Smart Citation
“…Monte Carlo simulation is computationally expensive for complex models so alternative techniques are sought to address this need. Variational methods using the model adjoint show promise for this purpose as they allow the tracking of influences backwards through the model (Penenko et al, 2002). However, although the technique is used in the meteorological and oceanography domain (Moore 1991;Rabier et al, 1996), very little work has been done in the physical infrastructure environmental/water or hydrological/floods areas, although it has potential, e.g.…”
Section: Use the Adjoint Methods In Hydrologymentioning
confidence: 99%
“…Effectively, it provides a local linearized inverse model, that can (1) show the sensitivity of some useful property, possibly an objective function as used in optimization, of the model's output to variations in inputs or parameters and (2) provide gradient information for use in optimizing model fit (White et al, 2003;Belanger and Vincent, 2005) or backward-in-time model runs (Neupauer and Wilson, 1999;Penenko et al, 2002). It is an alternative to the forward calculation of partial derivatives, and is particularly useful and computationally efficient for spatially distributed models.…”
Section: Use the Adjoint Methods In Hydrologymentioning
confidence: 99%
“…The (ensemble) filtering approach requires the augmentation of the state variables with the parameters (Ruiz et al, 2013). 4D-Var easily lends itself to data assimilation since the parameter variables can often be accounted for in the cost function (Penenko et al, 2002;Elbern et al, 2007;Bocquet, 2012;Penenko et al, 2012). However, it is often required to derive new adjoint operators corresponding to the gradient of the cost function with respect to these parameters if the driving mechanisms are not external forcings.…”
Section: From State Estimation To Physical Parameter Estimationmentioning
confidence: 99%
“…Then, to represent the measurement operator, a matrix H of elements h i,j =(r i , b j ) is calculated and inverted: λ=H −1 µ. A construction of this finite dimensional theory is given by Penenko et al (2002). The global source of CO 2 has been investigated this way by Bousquet et al (2000); Rödenbeck et al (2003).…”
Section: The Theoretical Backgroundmentioning
confidence: 99%