RESEARCH
| REPORTS
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simulation and analysis with K.-I.M.; and D.-P.K. and J.Y. directed
the project.
SUPPLEMENTARY MATERIALS
Materials and Methods
Figs. S1 to S3
ACKNOWLEDGMENTS
Supported by National Research Foundation of Korea grants
2008-0061983, NRF-2015R1D1A3A01019112, and NRF-
Tables S1 to S6
20. K.-I. Min, J.-O. Kim, H. Kim, J. Im, D.-P. Kim, Lab Chip 16,
977–983 (2016).
21. K. Fries, G. Finck, Ber. Dtsch. Chem. Ges. 41, 4271–4284
(1908).
2014M1A8A1074940 and by Japan Society for the Promotion of
Science Grant-in-Aid for Scientific Research (S) 26220804. Author
contributions: H.K. and K.-I.M. conceived the concept at POSTECH;
K.-I.M. fabricated the device; H.K. conducted synthetic experiments
at POSETCH and Kyoto University with K.I.; D.J.I. conducted CFD
NMR Spectra
References (25–32)
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10.1126/science.aaf1389
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GEOMORPHOLOGY
shear velocity (U*, meters per second) slightly
exceeds the critical value (U*c) at bankfull con-
ditions. This is called the near-threshold chan-
nel, for which data and theory indicate that
U*/U*c ≈ 1.1 (Fig. 1) (15, 16). Some studies, how-
ever, suggest that this treatment ignores details
of climatic variability that may exert a substan-
tial influence on landscape evolution (1, 17, 18).
Observations reveal that the statistical distribu-
tions of discharge in many rivers possess a power-
law tail (12, 13, 19), whose exponent changes
with climatic setting (17). These observations
have been interpreted to mean that channel
shape may be controlled by climate and, for
rivers with sufficiently heavy-tailed (log-log slope <
–2) discharge distributions, that the rate of sed-
iment transport could be dominated by extreme
events due to climatic variability (17), which
prevents rivers from achieving an equilibrium
geometry over geologic timescales (1, 3). Under-
standing the role of rivers in landscape evolution
requires reconciling the proposed importance of
climatic variability on channel form and dynam-
ics with the apparent equilibrium behavior im-
plied by near-universal hydraulic geometry scaling
relations (15, 20, 21).
Self-organization of river channels as
a critical filter on climate signals
Colin B. Phillips1* and Douglas J. Jerolmack2
Spatial and temporal variations in rainfall are hypothesized to influence landscape evolution
through erosion and sediment transport by rivers. However, determining the relation between
rainfall and river dynamics requires a greater understanding of the feedbacks between flooding
and a river’s capacity to transport sediment. We analyzed channel geometry and stream-flow
records from 186 coarse-grained rivers across the United States.We found that channels adjust
their shape so that floods slightly exceed the critical shear velocity needed to transport bed
sediment, independently of climatic, tectonic, and bedrock controls. The distribution of
fluid shear velocity associated with floods is universal, indicating that self-organization of
near-critical channels filters the climate signal evident in discharge. This effect blunts the
impact of extreme rainfall events on landscape evolution.
nderstanding the control of climate on the
geometry and erosion rate of rivers is es-
sential for reconstructing the geologic his-
tory of landscapes and for predicting the
response of rivers to human-accelerated
generated by climate—defined here as the magni-
tude, frequency, and phase of precipitation—is
represented by a characteristic flood (14). This
“bankfull” flood is the event whose frequency
and magnitude combine to move the most sed-
iment in the long-time limit, and it dictates
channel size (Fig. 1). The second principle applies
to gravel-bed rivers (median bed particle diam-
eter, D ≥ 10 mm), where sediment moves pre-
dominantly as bed load. Gravel-bed rivers adjust
their geometry so that the width-averaged fluid
U
climate change. A natural assumption is to link
river erosion to climate through precipitation
(1–3), yet demonstrating a clear relation is unex-
pectedly challenging (4–7). One reason is that bed-
rock river incision occurs primarily by abrasion
due to the collision of particles with the stream
bed (8) and “plucking” of loose blocks (2), and
therefore it depends on sediment supply as well
as precipitation. Another reason is that bedrock
channel geometry both influences and adjusts to
incision rate (4, 9–11). The effects of climatic varia-
bility (11–13) and bedrock channel geometry (9, 10)
on river incision rates have been explored primar-
ily with numerical models, but empirical observa-
tions remain limited.
Climatic effects on river dynamics are typically
characterized by discharge (Q, cubic meters per
second), which is strongly related to precipitation
(22), and erosion is often modeled using stream
power (the product of discharge and slope, S).
Bed-load motion, however, is driven by applied
Q >> Q bf
h>hbf
U*= ghS
h=hbf
h
S
S
D
tf
ts
U*c
In contrast to the case of bedrock systems, our
understanding of the geometry of alluvial rivers
(channels whose bed and banks are composed of
mobile sediment) is built upon two empirically
vetted theoretical principles. The first is “geomor-
phic work,” in which the wide range of flows
Q = Q bf
h=hbf
time (t)
Fig. 1. Definition sketches. (A) Channel cross section illustrating adjustment to near-threshold bed-load
transport; red regions are above the threshold of motion. The top panel shows flow exceeding bankfull
conditions that induces transport on the banks, resulting in erosion and widening of the channel, which
returns the system to near-threshold conditions (bottom). U*bf was computed from channel surveys of S
and hbf. (B) Definition sketch of a flood, with relevant parameters shown. The gray shaded area (from the
starting time ts to the finishing time tf) represents the part of a flood that is included in the integral for
1St. Anthony Falls Laboratory, University of Minnesota,
Minneapolis, MN 55414, USA. 2Department of Earth and
Environmental Science, University of Pennsylvania,
Philadelphia, PA 19104, USA.
tf
ts
3=2
potential transport, which is calculated as T ¼ ∫ ðU2* − U*2cÞ dt=ðgD520Þ for U* ≥ U*c (26).
*Corresponding author. Email: colinbphillips@gmail.com
694 6 MAY 2016 • VOL 352 ISSUE 6286
sciencemag.org SCIENCE