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1 Spatial Modelling of the Terrestrial Environment - Georeferencial

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Flood Inundation <strong>Modelling</strong> Using LiDAR and SAR Data 103<br />

very recently lack <strong>of</strong> data has been <strong>the</strong> central problem ra<strong>the</strong>r than <strong>the</strong> reverse. Nor can<br />

standard sensitivity, calibration and uncertainty analysis techniques be smoothly transferred<br />

to distributed problems. In many cases <strong>the</strong>se are designed to operate with limited amounts <strong>of</strong><br />

point data ra<strong>the</strong>r than distributed fields. It is likely that as we increasingly move to distributed<br />

calibration and validation, <strong>the</strong>n new methodologies will be required to achieve, for example,<br />

distributed calibration against distributed data, use <strong>of</strong> distributed classification and shape<br />

data in uncertainty analysis and to assess spatially distributed, and <strong>of</strong>ten highly non-linear<br />

(Bates et al., 1998b), sensitivities in distributed models. None <strong>of</strong> <strong>the</strong>se methodologies has<br />

yet been adequately researched.<br />

In moving to an increasingly complex analysis <strong>of</strong> model spatial behaviour we should<br />

also not lose sight <strong>of</strong> <strong>the</strong> fact that end-users will require better guidance in order to evaluate<br />

correctly <strong>the</strong> information being imparted to <strong>the</strong>m. Scientific uncertainty and risk have<br />

proved difficult concepts to communicate, yet to continue with a view <strong>of</strong> models as single<br />

deterministic predictors seems flawed and, one suspects, susceptible to legal challenge.<br />

The value <strong>of</strong> spatial data is that it forces modellers to uncover and analyse uncertainties<br />

previously suppressed in <strong>the</strong> calibration process and our challenge is to both incorporate it<br />

in our models and provide a more realistic view <strong>of</strong> <strong>the</strong> science that we are able to achieve.<br />

Acknowledgements<br />

The research reported in this chapter has been made possible by a number <strong>of</strong> research grants<br />

but in particular UK Natural <strong>Environment</strong> Research Council grant number GR3 CO 030 and<br />

<strong>the</strong> European Union Framework 5 grant ‘Development <strong>of</strong> an European Flood Forecasting<br />

System’.<br />

References<br />

Alsdorf, D., Melack, J.M., Dunne, T., Mertes, L.A.K., Hess, L.L. and Smith, L.C., 2000, Interferometric<br />

radar measurements <strong>of</strong> water level changes on <strong>the</strong> Amazon flood plain, Nature, 404,<br />

174–177.<br />

Aronica, G., Bates, P.D. and Horritt, M.S., 2002, Assessing <strong>the</strong> uncertainty in distributed model<br />

predictions using observed binary pattern information within GLUE, Hydrological Processes, 16,<br />

2001–2016.<br />

Aronica, G., Hankin, B. and Beven, K., 1998, Uncertainty and equifinality in calibrating distributed<br />

roughness coefficients in a flood propagation model with limited data, Advances in Water<br />

Resources, 22, 349–365.<br />

Bates, P.D., 2000, Development and testing <strong>of</strong> a sub-grid scale model for moving boundary hydrodynamic<br />

problems in shallow water, Hydrological Processes, 14, 2073–2088.<br />

Bates, P.D. and De Roo, A.P.J., 2000, A simple raster-based model for floodplain inundation, Journal<br />

<strong>of</strong> Hydrology, 236, 54–77.<br />

Bates, P.D. and Hervouet, J.-M., 1999, A new method for moving boundary hydrodynamic problems<br />

in shallow water, Proceedings <strong>of</strong> <strong>the</strong> Royal Society <strong>of</strong> London, Series A, 455, 3107–3128.<br />

Bates, P.D., Horritt, M. and Hervouet, J.-M., 1998b, Investigating two dimensional finite element<br />

predictions <strong>of</strong> floodplain inundation using fractal generated topography, Hydrological Processes,<br />

12, 1257–1277.<br />

Bates, P.D., Horritt, M., Smith, C. and Mason, D., 1997, Integrating remote sensing observations <strong>of</strong><br />

flood hydrology and hydraulic modelling, Hydrological Processes, 11, 1777–1795.

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