Hydrology and Earth System Sciences
Hydrology and Earth System Sciences
HESS
Articles | Volume 25, issue 2
Articles | Volume 25, issue 2
https://doi.org/10.5194/hess-25-831-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/hess-25-831-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 25, issue 2
Research article
 | 
19 Feb 2021
Research article |  | 19 Feb 2021

Objective functions for information-theoretical monitoring network design: what is “optimal”?

Hossein Foroozand and Steven V. Weijs

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Alfonso, L., Lobbrecht, A., and Price, R.: Information theory–based approach for location of monitoring water level gauges in polders, Water Resour. Res., 46, W03528, https://doi.org/10.1029/2009WR008101, 2010a. a, b, c, d, e, f, g, h, i
Alfonso, L., Lobbrecht, A., and Price, R.: Optimization of water level monitoring network in polder systems using information theory, Water Resour. Res., 46, W12553, https://doi.org/10.1029/2009WR008953, 2010b. a, b, c, d, e, f, g, h
Aydin, B. E., Hagedooren, H., Rutten, M. M., Delsman, J., Oude Essink, G. H. P., van de Giesen, N., and Abraham, E.: A Greedy Algorithm for Optimal Sensor Placement to Estimate Salinity in Polder Networks, Water, 11, 1101, https://doi.org/10.3390/w11051101 2019. a
Banik, B. K., Alfonso, L., Di Cristo, C., and Leopardi, A.: Greedy Algorithms for Sensor Location in Sewer Systems, Water, 9, 856, https://doi.org/10.3390/w9110856 2017. a, b, c, d, e, f, g, h, i, j, k, l, m, n
Barrenetxea, G., Ingelrest, F., Schaefer, G., and Vetterli, M.: The hitchhiker's guide to successful wireless sensor network deployments, in: Proceedings of the 6th ACM conference on Embedded network sensor systems, SenSys '08, 43–56, Association for Computing Machinery, Raleigh, NC, USA, https://doi.org/10.1145/1460412.1460418, 2008. a
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In monitoring network design, we have to decide what to measure, where to measure, and when to measure. In this paper, we focus on the question of where to measure. Past literature has used the concept of information to choose a selection of locations that provide maximally informative data. In this paper, we look in detail at the proper mathematical formulation of the information concept as an objective. We argue that previous proposals for this formulation have been needlessly complicated.
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