, Code availability. The script is available upon request from the authors

, The supplement related to this article is available on

, Author contributions. NLM, MM, and RM designed the study. ON provided the dataset. MM and NLM built the methodology and analyzed the results. MM wrote the paper with contributions from NLM, PR, and RM

L. Alfieri, L. Feyen, P. Salamon, J. Thielen, A. Bianchi et al., Modelling the socio-economic impact of river floods in Europe, Nat. Hazards Earth Syst. Sci, vol.16, pp.1401-1411, 2016.

J. Baume and M. Poirson, Modélisation numérique d'un écoulement permanent dans un réseau hydraulique maillé à surface libre, en régime fluvial, pp.95-100, 1984.

G. E. Box and G. M. Jenkins, Time series analysis: Forecasting and control Holden-Day, 1976.

R. A. Brown and G. B. Pasternack, Bed and width oscillations form coherent patterns in a partially confined, regulated gravelcobble-bedded river adjusting to anthropogenic disturbances, Earth Surf. Dynam, vol.5, pp.1-20, 2017.

R. A. Brown, G. B. Pasternack, and W. W. Wallender, Synthetic river valleys: Creating prescribed topography for form-process inquiry and river rehabilitation design, Geomorphology, vol.214, pp.40-55, 2014.

P. A. Carling and H. G. Orr, Morphology of riffle-pool sequences in the River Severn, Proc. Land, vol.25, pp.369-384, 2000.

R. A. Carmona, W. L. Hwang, and B. Torrésani, Multiridge detection and time-frequency reconstruction, vol.47, pp.480-492, 1999.
URL : https://hal.archives-ouvertes.fr/hal-01223139

N. J. Clifford, Formation of riffle-pool sequences: field evidence for an autogenetic process, Sediment. Geol, vol.85, pp.39-51, 1993.

G. Dury, Osage-type underfitness on the River Severn near Shrewsbury, pp.399-412, 1983.

K. M. Frothingham and N. Brown, Objective identification of pools and riffles in a human-modified stream system, Mid. Stat. Geogr, vol.35, pp.52-60, 2002.

D. Gabor, Theory of communication. Part 1: The analysis of information, J. Inst. Elect. Eng. Pt. III, vol.93, pp.429-441, 1946.

C. Gangodagamage, E. Barnes, and E. Foufoula-georgiou, Scaling in river corridor widths depicts organization in valley morphology, Geomorphology, vol.91, 2007.

K. Gregory, A. Gurnell, C. Hill, and S. Tooth, Stability of the pool-riffle sequence in changing river channels, River Res. Appl, vol.9, pp.35-43, 1994.

A. Grinsted, J. C. Moore, and S. Jevrejeva, Application of the cross wavelet transform and wavelet coherence to geophysical time series, Nonlin. Processes Geophys, vol.11, pp.561-566, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00302394

A. Harvey, Some aspects of the relations between channel characteristics and riffle spacing in meandering streams, Am. J. Sci, vol.275, pp.470-478, 1975.

C. Hauer, G. Mandlburger, and H. Habersack, Hydraulically related hydro-morphological units: description based on a new conceptual mesohabitat evaluation model (MEM) using LiDAR data as geometric input, River Res. Appl, vol.25, pp.29-47, 2009.

C. Hauer, G. Unfer, M. Tritthart, E. Formann, and H. Habersack, Variability of mesohabitat characteristics in riffle-pool reaches: Testing an integrative evaluation concept (FGC) for MEMapplication, River Res. Appl, vol.27, pp.403-430, 2011.

H. Higuchi, J. Lewalle, and P. Crane, On the structure of a twodimensional wake behind a pair of flat plates, Phys. Fluids, vol.6, pp.297-305, 1994.

D. L. Hogan, Channel morphology of unlogged, logged, and debris torrented streams in the Queen Charlotte Islands, Ministry of Forests and Lands, 1986.

I. G. Jowett, A method for objectively identifying pool, run, and riffle habitats from physical measurements, N. Zeal. J. Mar. Freshw. Res, vol.27, pp.241-248, 1993.

G. G. Katul and M. B. Parlange, Analysis of land surface heat fluxes using the orthonormal wavelet approach, Water Resour. Res, vol.31, pp.2743-2749, 1995.

G. G. Katul and M. B. Parlange, The spatial structure of turbulence at production wavenumbers using orthonormal wavelets, Bound.-Lay. Meteorol, vol.75, pp.81-108, 1995.

G. G. Katul, M. B. Parlange, and C. R. Chu, Intermittency, local isotropy, and non-Gaussian statistics in atmospheric surface layer turbulence, Phys. Fluids, vol.6, pp.2480-2492, 1994.

E. Keller, Development of alluvial stream channels: a five-stage model, Geol. Soc. Am. Bull, vol.83, pp.1531-1536, 1972.

E. Keller and W. Melhorn, Bedforms and fluvial processes in alluvial stream channels: selected observations, pp.253-283, 1973.

E. Keller and W. Melhorn, Rhythmic spacing and origin of pools and riffles, Geol. Soc. Am. Bull, vol.89, pp.723-730, 1978.

A. Knighton, Asymmetry of river channel cross-sections: Part I. Quantitative indices, Earth Surf, Proc. Land, vol.6, pp.581-588, 1981.

D. Knighton, Fluvial forms and processes: a new perspective, 2014.

G. M. Kondolf, Geomorphological stream channel classification in aquatic habitat restoration: uses and limitations, Aquat. Conserv.: Mar. Freshw. Ecosyst, vol.5, pp.127-141, 1995.

A. Krueger and K. Frothingham, Application and comparison of geomorphological and hydrological pool and riffle quantification methods, Geogr. Bull, vol.48, pp.85-95, 2007.

P. Kumar, Role of coherent structures in the stochastic-dynamic variability of precipitation, J. Geophys. Res.-Atmos, vol.101, pp.26393-26404, 1996.

P. Kumar and E. Foufoula-georgiou, A multicomponent decomposition of spatial rainfall fields: 1. Segregation of large-and smallscale features using wavelet transforms, Water Resour. Res, vol.29, pp.2515-2532, 1993.

B. Lashermes and E. Foufoula-georgiou, Area and width functions of river networks: New results on multifractal properties, Water Resour. Res, vol.43, p.9405, 2007.

C. J. Legleiter, A geostatistical framework for quantifying the reach-scale spatial structure of river morphology: 1. Variogram models, related metrics, and relation to channel form, Geomorphology, vol.205, pp.65-84, 2014.

L. Leopold, M. Wolman, and J. Miller, Fluvial processes in geomorphology, 1964.

J. M. Lilly and S. C. Olhede, Higher-order properties of analytic wavelets, IEEE T. Sig. Process, vol.57, pp.146-160, 2008.

J. M. Lilly and S. C. Olhede, On the analytic wavelet transform, IEEE T. Inform. Theory, vol.56, pp.4135-4156, 2010.

J. M. Lilly and S. C. Olhede, Analysis of modulated multivariate oscillations, vol.60, pp.600-612, 2011.

S. Mallat, A wavelet tour of signal processing, 1999.

J. Mckean, D. Nagel, D. Tonina, P. Bailey, C. W. Wright et al., Remote sensing of channels and riparian zones with a narrow-beam aquatic-terrestrial LIDAR, Remote Sens, vol.1, pp.1065-1096, 2009.

J. Milne, Bed-material size and the riffle-pool sequence, Sedimentology, vol.29, pp.267-278, 1982.

J. Milne and D. Sear, Modelling river channel topography using GIS, Int. J. Geogr. Inform. Sci, vol.11, pp.499-519, 1997.

D. R. Montgomery, J. M. Buffington, R. D. Smith, K. M. Schmidt, and G. Pess, Pool spacing in forest channels, Water Resour. Res, vol.31, pp.1097-1105, 1995.

J. Muzy, E. Bacry, A. , and A. , Multifractal formalism for fractal signals: The structure-function approach versus the wavelet-transform modulus-maxima method, Phys. Rev. E, vol.47, pp.875-884, 1993.
URL : https://hal.archives-ouvertes.fr/hal-01557138

O. Navratil, Débit de pleins bords et géométrie hydraulique: une description synthétique de la morphologie des cours d'eau pour relier le bassin versant et les habitats aquatiques, 2005.

O. Navratil, M. Albert, E. Herouin, and J. Gresillon, Determination of bankfull discharge magnitude and frequency: comparison of methods on 16 gravel-bed river reaches, Earth Surf, Proc. Land, vol.31, pp.1345-1363, 2006.

J. C. Neal, N. A. Odoni, M. A. Trigg, J. E. Freer, J. Garcia-pintado et al., Efficient incorporation of channel cross-section geometry uncertainty into regional and global scale flood inundation models, J. Hydrol, vol.529, pp.169-183, 2015.

E. K. Ng and J. C. Chan, Geophysical applications of partial wavelet coherence and multiple wavelet coherence, J. Atmos. Ocean. Tech, vol.29, pp.1845-1853, 2012.

C. F. Nordin, Statistical properties of dune profiles, vol.562, 1971.

V. Nourani, A. H. Baghanam, J. Adamowski, and O. Kisi, Applications of hybrid wavelet -Artificial Intelligence models in hydrology: A review, J. Hydrol, vol.514, pp.358-377, 2014.

M. P. O'neill and A. D. Abrahams, Objective identification of pools and riffles, Water Resour. Res, vol.20, pp.921-926, 1984.

N. Ozkurt and F. A. Savaci, Determination of wavelet ridges of nonstationary signals by singular value decomposition, IEEE T. Circuit. Syst. II, vol.52, pp.480-485, 2005.

G. Pasternack and R. Arroyo, RiverBuilder: River Generation for Given Data Sets, 2018.

G. Pasternack and M. Zhang, River Builder User's Manual For Version, 2020.

G. B. Pasternack and R. A. Brown, Ecohydraulic Design of Riffle-Pool Relief and Morphological Unit Geometry in Support of Regulated Gravel-Bed River Rehabilitation, Ecohydraulics, p.337, 2013.

G. B. Pasternack and L. A. Hinnov, Hydrometeorological controls on water level in a vegetated Chesapeake Bay tidal freshwater delta, Estuar. Coast. Shelf Sci, vol.58, pp.367-387, 2003.

K. Richards, The morphology of riffle-pool sequences, Earth Surf, Proc. Land, vol.1, pp.71-88, 1976.

K. Richards, Channel width and the riffle-pool sequence, Geol. Soc. Am. Bull, vol.87, pp.883-890, 1976.

J. F. Rodríguez, C. M. García, and M. H. García, Threedimensional flow in centered pool-riffle sequences, Water Resour. Res, vol.49, pp.202-215, 2013.

D. L. Rosgen, The cross-vane, w-weir and j-hook vane structures . . . their description, design and application for stream stabilization and river restoration, in: Designing successful stream and wetland restoration projects, Am. Soc. Civil Eng, pp.1-22, 2001.

A. Rossi, N. Massei, and B. Laignel, A synthesis of the time-scale variability of commonly used climate indices using continuous wavelet transform, Global Planet, Change, vol.78, pp.1-13, 2011.

F. Saleh, A. Ducharne, N. Flipo, L. Oudin, and E. Ledoux, Impact of river bed morphology on discharge and water levels simulated by a 1D Saint-Venant hydraulic model at regional scale, J. Hydrol, vol.476, pp.169-177, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00762622

B. Schaefli, D. Maraun, and M. Holschneider, What drives high flow events in the Swiss Alps? Recent developments in wavelet spectral analysis and their application to hydrology, Adv. Water Resour, vol.30, pp.2511-2525, 2007.

K. Schneider and O. V. Vasilyev, Wavelet methods in computational fluid dynamics, Annu. Rev. Fluid Mech, vol.42, pp.473-503, 2010.
URL : https://hal.archives-ouvertes.fr/hal-01024632

S. Schweizer, M. E. Borsuk, I. Jowett, and P. Reichert, Predicting joint frequency distributions of depth and velocity for instream habitat assessment, River Res. Appl, vol.23, pp.287-302, 2007.

D. M. Thompson, Random controls on semi-rhythmic spacing of pools and riffles in constriction-dominated rivers, Earth Surf, Proc. Land, vol.26, pp.1195-1212, 2001.

D. J. Thomson, Spectrum estimation and harmonic analysis, Proc. IEEE, vol.70, pp.1055-1096, 1982.

C. Torrence and G. P. Compo, A practical guide to wavelet analysis, B. Am. Meteorol. Soc, vol.79, pp.61-78, 1998.

M. A. Trigg, M. D. Wilson, P. D. Bates, M. S. Horritt, D. E. Alsdorf et al., Amazon flood wave hydraulics, J. Hydrol, vol.374, pp.92-105, 2009.

R. Wadeson, A geomorphological approach to the identification and classification of instream flow environments, S. Afr. J. Aquat. Sci, vol.20, pp.38-61, 1994.

J. M. Wheaton, G. B. Pasternack, and J. E. Merz, Spawning habitat rehabilitation -I. Conceptual approach and methods, Int. J. River Basin Manage, vol.2, pp.3-20, 2004.

J. R. Wyrick and G. Pasternack, Geospatial organization of fluvial landforms in a gravel-cobble river: beyond the riffle-pool couplet, vol.213, pp.48-65, 2014.

J. R. Wyrick, A. E. Senter, and G. B. Pasternack, Revealing the natural complexity of fluvial morphology through 2D hydrodynamic delineation of river landforms, Geomorphology, vol.210, pp.14-22, 2014.

C. T. Yang, Formation of Riffles and Pools, Water Resour. Res, vol.7, pp.1567-1574, 1971.