Adhikary, S. K., Yilmaz, A. G., and Muttil, N.: Optimal design of rain gauge
network in the Middle Yarra River catchment, Australia, Hydrol. Process.,
29, 2582–2599, https://doi.org/10.1002/hyp.10389, 2015.

Agarwal, A.: Unraveling spatio-temporal climatic patterns via multi-scale
complex networks, Universität Potsdam, Potsdam, 2019.

Agarwal, A., Marwan, N., Rathinasamy, M., Merz, B., and Kurths, J.: Multi-scale event synchronization analysis for unravelling climate processes: a wavelet-based approach, Nonlin. Processes Geophys., 24, 599–611, https://doi.org/10.5194/npg-24-599-2017, 2017.

Agarwal, A., Marwan, N., Maheswaran, R., Merz, B., and Kurths, J.:
Quantifying the roles of single stations within homogeneous regions using
complex network analysis, J. Hydrol., 563, 802–810, https://doi.org/10.1016/j.jhydrol.2018.06.050,
2018a.

Agarwal, A., Maheswaran, R., Marwan, N., Caesar, L., and Kurths, J.:
Wavelet-based multiscale similarity measure for complex networks, Eur. Phys.
J. B, 91, 296, https://doi.org/10.1140/epjb/e2018-90460-6, 2018b.

Agarwal, A., Caesar, L., Marwan, N., Maheswaran, R., Merz, B., and Kurths,
J.: Network-based identification and characterization of teleconnections on
different scales, Sci. Rep.-UK, 9, 8808, https://doi.org/10.1038/s41598-019-45423-5, 2019.

Arenas, A., Díaz-Guilera, A., Kurths, J., Moreno, Y., and Zhou, C.:
Synchronization in complex networks, Phys. Rep., 469, 93–153,
https://doi.org/10.1016/j.physrep.2008.09.002, 2008.

Boers, N., Rheinwalt, A., Bookhagen, B., Barbosa, H. M. J., Marwan, N.,
Marengo, J., and Kurths, J.: The South American rainfall dipole: A complex
network analysis of extreme events: BOERS ET AL., Geophys. Res. Lett.,
41, 7397–7405, https://doi.org/10.1002/2014GL061829, 2014.

Boers, N., Goswami, B., Rheinwalt, A., Bookhagen, B., Hoskins, B., and
Kurths, J.: Complex networks reveal global pattern of extreme-rainfall
teleconnections, Nature, 566, 373–377, https://doi.org/10.1038/s41586-018-0872-x, 2019.

Bullmore, E. and Sporns, O.: The economy of brain network organization, Nat.
Rev. Neurosci., 13, 336–349, https://doi.org/10.1038/nrn3214, 2012.

Chacon-Hurtado, J. C., Alfonso, L., and Solomatine, D. P.: Rainfall and streamflow sensor network design: a review of applications, classification, and a proposed framework, Hydrol. Earth Syst. Sci., 21, 3071–3091, https://doi.org/10.5194/hess-21-3071-2017, 2017.

Chen, D., Lü, L., Shang, M.-S., Zhang, Y.-C., and Zhou, T.: Identifying
influential nodes in complex networks, Phys. Stat. Mech. Its Appl., 391,
1777–1787, https://doi.org/10.1016/j.physa.2011.09.017, 2012.

Conradt, T., Koch, H., Hattermann, F. F., and Wechsung, F.: Precipitation or
evapotranspiration? Bayesian analysis of potential error sources in the
simulation of sub-basin discharges in the Czech Elbe River basin, Reg.
Environ. Change, 12, 649–661, https://doi.org/10.1007/s10113-012-0280-y, 2012.

Conticello, F., Cioffi, F., Merz, B., and Lall, U.: An event synchronization
method to link heavy rainfall events and large-scale atmospheric circulation
features, Int. J. Climatol., 38, 1421–1437, https://doi.org/10.1002/joc.5255, 2018.

Donges, J. F., Zou, Y., Marwan, N., and Kurths, J.: Complex networks in
climate dynamics: Comparing linear and nonlinear network construction
methods, Eur. Phys. J. Spec. Top., 174, 157–179,
https://doi.org/10.1140/epjst/e2009-01098-2, 2009.

Donges, J. F., Petrova, I., Loew, A., Marwan, N., and Kurths, J.: How complex
climate networks complement eigen techniques for the statistical analysis of
climatological data, Clim. Dynam., 45, 2407–2424,
https://doi.org/10.1007/s00382-015-2479-3, 2015.

Ekhtiari, N., Agarwal, A., Marwan, N., and Donner, R. V.: Disentangling the
multi-scale effects of sea-surface temperatures on global precipitation: A
coupled networks approach, Chaos Interdiscip. J. Nonlinear Sci., 29,
063116, https://doi.org/10.1063/1.5095565, 2019.

Fang, K., Sivakumar, B., and Woldemeskel, F. M.: Complex networks, community
structure, and catchment classification in a large-scale river basin, J.
Hydrol., 545, 478–493, https://doi.org/10.1016/j.jhydrol.2016.11.056, 2017.

Ferster, B., Subrahmanyam, B., and Macdonald, A.: Confirmation of
ENSO-Southern Ocean Teleconnections Using Satellite-Derived SST, Remote
Sens., 10, 331, https://doi.org/10.3390/rs10020331, 2018.

Gao, C., Wei, D., Hu, Y., Mahadevan, S., and Deng, Y.: A modified evidential
methodology of identifying influential nodes in weighted networks, Phys.
Stat. Mech. Its Appl., 392, 5490–5500, https://doi.org/10.1016/j.physa.2013.06.059,
2013.

Halverson, M. J. and Fleming, S. W.: Complex network theory, streamflow, and hydrometric monitoring system design, Hydrol. Earth Syst. Sci., 19, 3301–3318, https://doi.org/10.5194/hess-19-3301-2015, 2015.

Haylock, M. R., Hofstra, N., Klein Tank, A. M. G., Klok, E. J., Jones, P. D., and New, M.: A European daily high-resolution gridded data set of surface temperature and precipitation for 1950–2006, J. Geophys. Res., 113, D20119, https://doi.org/10.1029/2008JD010201, 2008.

Hohn, M. E.: An Introduction to Applied Geostatistics, Comput. Geosci.,
17, 471–473, https://doi.org/10.1016/0098-3004(91)90055-I, 1991.

Hou, B., Yao, Y., and Liao, D.: Identifying all-around nodes for spreading
dynamics in complex networks, Phys. Stat. Mech. Its Appl., 391,
4012–4017, https://doi.org/10.1016/j.physa.2012.02.033, 2012.

Jensen, P., Morini, M., Karsai, M., Venturini, T., Vespignani, A., Jacomy,
M., Cointet, J.-P., Mercklé, P., and Fleury, E.: Detecting global bridges
in networks, J. Complex Netw., 4, 319–329, https://doi.org/10.1093/comnet/cnv022,
2016.

Jha, S. K., Zhao, H., Woldemeskel, F. M., and Sivakumar, B.: Network theory
and spatial rainfall connections: An interpretation, J. Hydrol., 527,
13–19, https://doi.org/10.1016/j.jhydrol.2015.04.035, 2015.

Johnston, K., VerHoef, J. M., Krivoruchko, K., and Lucas, N.: Using ArcGISGeostatistical Analyst, ArcGIS Manual by ESRI, Redlands, CA, USA, 2001.

Keum, J., Kornelsen, K., Leach, J., and Coulibaly, P.: Entropy Applications
to Water Monitoring Network Design: A Review, Entropy, 19, 613,
https://doi.org/10.3390/e19110613, 2017.

Kitsak, M., Gallos, L. K., Havlin, S., Liljeros, F., Muchnik, L., Stanley,
H. E., and Makse, H. A.: Identification of influential spreaders in complex
networks, Nat. Phys., 6, 888–893, https://doi.org/10.1038/nphys1746, 2010.

Konapala, G. and Mishra, A.: Review of complex networks application in
hydroclimatic extremes with an implementation to characterize
spatio-temporal drought propagation in continental USA, J. Hydrol., 555,
600–620, https://doi.org/10.1016/j.jhydrol.2017.10.033, 2017.

Kurths, J., Agarwal, A., Shukla, R., Marwan, N., Rathinasamy, M., Caesar, L., Krishnan, R., and Merz, B.: Unravelling the spatial diversity of Indian precipitation teleconnections via a non-linear multi-scale approach, Nonlin. Processes Geophys., 26, 251–266, https://doi.org/10.5194/npg-26-251-2019, 2019.

Liu, J., Xiong, Q., Shi, W., Shi, X., and Wang, K.: Evaluating the importance
of nodes in complex networks, Phys. Stat. Mech. Its Appl., 452, 209–219,
https://doi.org/10.1016/j.physa.2016.02.049, 2016.

Mishra, A. K. and Coulibaly, P.: Developments in hydrometric network design:
A review, Rev. Geophys., 47, RG2001, https://doi.org/10.1029/2007RG000243, 2009.

Molkenthin, N., Rehfeld, K., Marwan, N., and Kurths, J.: Networks from Flows
– From Dynamics to Topology, Sci. Rep.-UK, 4, 4119, https://doi.org/10.1038/srep04119, 2015.

Oesterle, H.: Reconstruction of daily global radiation for past years for
use in agricultural models, Phys. Chem. Earth Pt. B, 26, 253–256, https://doi.org/10.1016/S1464-1909(00)00248-3, 2001.

Okamoto, K., Chen, W., and Li, X.-Y.: Ranking of Closeness Centrality for
Large-Scale Social Networks, in Frontiers in Algorithmics, vol. 5059, edited
by: Preparata, F. P., Wu, X., and Yin, J., Springer Berlin
Heidelberg, Berlin, Heidelberg, 186–195, 2008.

Österle, H., Werner, P., and Gerstengarbe, F.: Qualitätsprüfung,
Ergänzung und Homogenisierung der täglichen Datenreihen in
Deutschland, 1951–2003: ein neuer Datensatz, 7. Deutsche Klimatagung, Klimatrends: Vergangenheit und Zukunft, 9–11 Oktober 2006, München, 2006.

Ozturk, U., Marwan, N., Korup, O., Saito, H., Agarwal, A., Grossman, M. J.,
Zaiki, M., and Kurths, J.: Complex networks for tracking extreme rainfall
during typhoons, Chaos Interdiscip. J. Nonlinear Sci., 28, 075301,
https://doi.org/10.1063/1.5004480, 2018.

Paluš, M.: Linked by Dynamics: Wavelet-Based Mutual Information Rate as
a Connectivity Measure and Scale-Specific Networks, in Advances in Nonlinear
Geosciences, edited by: Tsonis, A. A., Springer International
Publishing, Cham, 427–463, 2018.

Putthividhya, A. and Tanaka, K.: Optimal Rain Gauge Network Design and
Spatial Precipitation Mapping based on Geostatistical Analysis from
Colocated Elevation and Humidity Data, Int. J. Environ. Sci. Dev., 3, 124–129,
https://doi.org/10.7763/IJESD.2012.V3.201, 2012.

Quiroga, R. Q., Kraskov, A., Kreuz, T., and Grassberger, P.: Performance of
different synchronization measures in real data: A case study on
electroencephalographic signals, Phys. Rev. E, 65, 041903,
https://doi.org/10.1103/PhysRevE.65.041903, 2002.

Rheinwalt, A., Goswami, B., Boers, N., Heitzig, J., Marwan, N., Krishnan, R.,
and Kurths, J.: Teleconnections in Climate Networks: A Network-of-Networks
Approach to Investigate the Influence of Sea Surface Temperature Variability
on Monsoon Systems, in Machine Learning and Data Mining Approaches to
Climate Science, edited by: Lakshmanan, V., Gilleland, E., McGovern, A., and
Tingley, M., Springer International Publishing, Cham, 23–33, 2015.

Rheinwalt, A., Boers, N., Marwan, N., Kurths, J., Hoffmann, P.,
Gerstengarbe, F.-W., and Werner, P.: Non-linear time series analysis of
precipitation events using regional climate networks for Germany, Clim.
Dynam., 46, 1065–1074, https://doi.org/10.1007/s00382-015-2632-z, 2016.

Rossi, M., Kirschbaum, D., Valigi, D., Mondini, A., and Guzzetti, F.:
Comparison of Satellite Rainfall Estimates and Rain Gauge Measurements in
Italy, and Impact on Landslide Modeling, Climate, 5, 90,
https://doi.org/10.3390/cli5040090, 2017.

Saxena, A., Malik, V., and Iyengar, S. R. S.: Estimating the degree centrality ranking, 8th International Conference on Communication Systems and Networks (COMSNETS), 5–10 January 2016, IEEE, Bangalore, 2016, 1–2, https://doi.org/10.1109/COMSNETS.2016.7440022, 2016.

Sivakumar, B. and Woldemeskel, F. M.: Complex networks for streamflow dynamics, Hydrol. Earth Syst. Sci., 18, 4565–4578, https://doi.org/10.5194/hess-18-4565-2014, 2014.

Stosic, T., Stosic, B., and Singh, V. P.: Optimizing streamflow monitoring
networks using joint permutation entropy, J. Hydrol., 552, 306–312,
https://doi.org/10.1016/j.jhydrol.2017.07.003, 2017.

Tobler, W. R.: A Computer Movie Simulating Urban Growth in the Detroit
Region, Econ. Geogr., 46, 234–240, https://doi.org/10.2307/143141, 1970.

Tupikina, L., Molkenthin, N., López, C., Hernández-García, E.,
Marwan, N., and Kurths, J.: Correlation Networks from Flows. The Case of
Forced and Time-Dependent Advection-Diffusion Dynamics, edited by: Gao, Z.-K., PLOS ONE, 11, e0153703, https://doi.org/10.1371/journal.pone.0153703, 2016.

Wadoux, A. M. J.-C., Brus, D. J., Rico-Ramirez, M. A., and Heuvelink, G. B.
M.: Sampling design optimisation for rainfall prediction using a
non-stationary geostatistical model, Adv. Water Resour., 107, 126–138,
https://doi.org/10.1016/j.advwatres.2017.06.005, 2017.

Webster, R. and Oliver, M. A.: Geostatistics for Environmental Scientists,
John Wiley & Sons, Ltd, Chichester, UK, 2007.

Xu, P., Wang, D., Singh, V. P., Wang, Y., Wu, J., Wang, L., Zou, X., Liu,
J., Zou, Y., and He, R.: A kriging and entropy-based approach to raingauge
network design, Environ. Res., 161, 61–75,
https://doi.org/10.1016/j.envres.2017.10.038, 2018.

Yeh, H.-C., Chen, Y.-C., Chang, C.-H., Ho, C.-H., and Wei, C.: Rainfall
Network Optimization Using Radar and Entropy, Entropy, 19, 553,
https://doi.org/10.3390/e19100553, 2017.

Zhang, X., Zhu, J., Wang, Q., and Zhao, H.: Identifying influential nodes in
complex networks with community structure, Knowl.-Based Syst., 42, 74–84,
https://doi.org/10.1016/j.knosys.2013.01.017, 2013.

Zlatić, V., Božičević, M., Štefančić, H., and
Domazet, M.: Wikipedias: Collaborative web-based encyclopedias as complex
networks, Phys. Rev. E, 74, 016115, https://doi.org/10.1103/PhysRevE.74.016115, 2006.