Food for Thought: Lower-Than-Expected Crop Yield Stimulation with Rising CO2 Concentrations

Abstract

Model projections suggest that although increased temperature and decreased soil moisture will act to reduce global crop yields
by 2050, the direct fertilization effect of rising carbon dioxide concentration ([CO2]) will offset these losses. The CO2 fertilization factors used in models to project future yields were derived from enclosure studies conducted approximately
20 years ago. Free-air concentration enrichment (FACE) technology has now facilitated large-scale trials of the major grain
crops at elevated [CO2] under fully open-air field conditions. In those trials, elevated [CO2] enhanced yield by ∼50% less than in enclosure studies. This casts serious doubt on projections that rising [CO2] will fully offset losses due to climate change.

Full text

Food for Thought: Lower-Than-
Expected Crop Yield Stimulation
with Rising CO
2
Concentrations
Stephen P. Long,
1,2,3
*
Elizabeth A. Ainsworth,
4,1,3
Andrew D. B. Leakey,
3,1
Josef No
¨
sberger,
5
Donald R. Ort
4,1,2,3
Model projections suggest that although increased temperature and decreased soil moisture will act
to reduce global crop yields by 2050, the direct fertilization effect of rising carbon dioxide
concentration ([CO
2
]) will offset these losses. The CO
2
fertilization factors used in models to project
future yields were derived from enclosure studies conducted approximately 20 years ago. Free-air
concentration enrichment (FACE) technology has now facilitated large-scale trials of the major
grain crops at elevated [CO
2
] under fully open-air field conditions. In those trials, elevated [CO
2
]
enhanced yield by È50% less than in enclosure studies. This casts serious doubt on projections
that rising [CO
2
] will fully offset losses due to climate change.
M
uch effort has been put into linking
models of climate and crop growth to
project future changes in crop yields
and food supply across the globe (1–4). Pro-
jections reviewed by the Intergovernmental
Panel on Climate Change (IPCC) suggest that
increased temperature and decreased soil mois-
ture, which would otherwise reduce crop yields,
will be offset by the direct fertilization effect
of rising carbon dioxide concentration (ECO
2
^)
(5–7). The IPCC projections suggest that total
crop yield may rise when averaged across the
globe, but this net gain will result from generally
lower yields in the tropics and increased yields in
temperate zones. The accuracy of these projec-
tions and thus future food security depend crit-
ically on the magnitude of the CO
2
fertilizati on
effect under actual growing conditions.
Atmospheric ECO
2
^ has risen from È260
parts per million (ppm) approximately 150 years
ago to 380 ppm today (8). Yet ECO
2
^ is marked-
ly uniform across the globe; so, in contrast to
temperature and soil moisture, there is no con-
sistent spatial variation on which to estimate
yield responses to increasing ECO
2
^. Similarly, it
is not ea sy to alter ECO
2
^ experimentally around
a crop in the field. As a result, most information
about crop responses to elevated ECO
2
^ is ob-
tained from studies in greenhouses, laboratory
controlled-environment chambers, and transpar-
ent field chambers, where released CO
2
may be
retained and easily controlled. These settings
have provided the basis for projecting CO
2
fer-
tilization effects on the major food crops: maize,
rice, sorghum, soybeans, and wheat.
Crops sense and respond directly to rising
ECO
2
^ through photosynthesis and stomatal
conductance, and this is the basis for the fer-
tilization effect on yield (9). In C
3
plants, meso-
phyll cells containing ribulose-1,5-bisphosphate
carboxylase-oxygenase (RuBisCO) are in direct
contact with the intercellular air space that is
connected to the atmosphere via stomatal pores
in the epidermis. Hence, in C
3
crops, rising
CO
2
increases net photosynthetic CO
2
uptake
because RuBisCO is not CO
2
-saturated in
today_s atmosphere and because CO
2
inhibits
the competing oxygenation reaction leading to
photorespiration. RuBisCO is highly conserved
across terrestrial plants, so instantaneous re-
sponses to increased ECO
2
^ may be generalized
across C
3
plants, including rice, soybeans, and
wheat. In theory, at 25-C, an increase in ECO
2
^
from the present-day value of 380 ppm to that
of 550 ppm, projected for the year 2050, would
increase C
3
photosynthesis by 38% (9). In con-
trast, in C
4
crops such as maize and sorghum,
RuBisCO is localized to bundle sheath cells in
which CO
2
is concentrated to three to six times
atmospheric ECO
2
^ (10). This concentration is
sufficient to saturate RuBisCO and in theory
would prevent any increase in CO
2
uptake with
rising ECO
2
^.AlthoughC
4
crops may not show
a direct response in photosynthetic activity, an
indirect increase in the efficiency of water use
via reduction in stomatal conductance may still
increase yield (9).
How have CO
2
fertilization factors been
derived? Most models used to predict future
crop yields, including those within the IPCC
(5), are from two families: the Decision Sup-
port System for Agrotechnology Transfer
(DSSAT) (6, 11, 12) and the Erosion Produc-
tivity Impact Calculator (EPIC) (13–15). Studies
using DSSAT assume CO
2
fertilization factors
based on the method of Peart et al.(3), which
used summaries for soybeans (16), maize (17),
wheat (18), and rice (18). Studies using EPIC
(13–15) assume CO
2
fertilization factors based
on the method of Stockle et al.(4), which
parameterized a CO
2
response function to
reproduce the mean yield stimulations reported
for elevated [CO
2
] by Kimball (18). Tracing
DSSAT and EPIC methods back reveals that the
magnitude of the CO
2
fertilization effects in
these models is primarily based on data from
three literature reviews from the 1980s (16–18).
The CO
2
fertilization effects reported in these
reviews for the major crops are given in Table 1
RESEARCH ARTICLES
1
Department of Plant Biology,
2
Department of Crop Sci-
ences,
3
Institute for Genomic Biology, University of Illinois
at Urbana Champaign, 1201 West Gregory Drive, Urbana, IL
61801, USA.
4
Photosynthesis Research Unit, U.S. Depart-
ment of Agriculture–Agricultural Research Service, 1201
West Gregory Drive, Urbana, IL 61801, USA.
5
Institute for
Plant Sciences, ETH Zurich, 8902 Zurich, Switzerland.
*To whom correspondence should be addressed. E-mail:
stevel@life.uiuc.edu
Table 1. Percentage increases in yield, biomass, and photosynthesis of crops grown at elevated
[CO
2
] (550 mmol mol
j1
) relative to ambient [CO
2
] in enclosure studies versus FACE experiments.
Data for enclosure studies were summarized by Kimball (18), Cure and Acock (17), and Allen et al.
(16) and in Fig. 2. Mean response ratios from these reviews were adjusted to an elevated [CO
2
]of
550 mmol mol
j1
by means of the nonrectangular hyperbolic functions for C
3
and C
4
species from
Fig. 2. The values that summarize all chamber studies shown in Fig. 2 are given in the row entitled
‘‘enclosure studies.’’ Percentage increases for FACE studies were generated by meta-analysis [see
supporting online material (SOM) and table S2] (37).
Source Rice Wheat Soybeans C
4
crops
Yield
Kimball (1983) 19 28 21 –
Cure and Acock (1986) 11 19 22 27
Allen et al. (1987) – – 26 –
Enclosure studies – 31 32 18
FACE studies 12 13 14 0*
Biomass
Cure and Acock (1986) 21 24 30 8
Allen et al. (1987) – – 35 –
FACE studies 13 10 25 0*
Photosynthesis
Cure and Acock (1986) 35 21 32 4
FACE studies 9 13 19 6
*Data from only 1 year in Leakey et al.(30).
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1918

after adjustment to estimate crop performance at
a common [CO
2
] of 550 ppm. Collectively, the
fertilization factors averaged across the C
3
crops
(rice, wheat, and soybeans) are 24% for yield,
27% for biomass, and 29% for photosynthesis.
The responses for maize were lower except for
yield, which was reported to increase by 27%
(Table 1). All studies included in the reviews
used enclosures, such as controlled e nvironmen-
tal chamber s, transparent f ield enclosures, or
open-top chambers. Since the 1980s, many fur-
ther chamber studies have been conducted.
When these are compiled for wheat and soy-
beans, an even larger yield fertilization factor of
31% is suggested (Table 1). Although this is a
wealth of data on which to project a CO
2
fertil-
ization effect for crops across the globe, no
agrochemic al or plant-breedi ng company would
base its business plan for a new chemical or
variety solely on greenhouse studies without
rigorous field trials (19, 20). Yet our current
projections of future world food supply are
based on such potentially inadequate data.
Why might chamber studies be inadequate
for predicting future yields? Many chamber
studies used plants grown in pots, which are
now known to alter the response of plants to
elevated [CO
2
](21). Most of the field studies
used open-topped and transparent-walled
chambers, up to 2 m in diam eter. Despite being
partially open to the atmosphere, important en-
vironmental differences remain. In a chamber
carefully designed to minimize environmental
differences, receiving È75% of full sunlight,
the temperature inside the chamber was 4.3-C
warmer and the water vapor pressure deficit
was 0.8 kPa higher (22) than outside the
chamber. The transmission of sunlight into the
chambers was lower and the ratio of diffuse to
direct sunlight increased. Other chamber types
would cause even greater perturbation of the
natural environment. All chambers alter air
flow and intercept rainfall. Access by pests
and diseases is restricted, but if they gain ac-
cess, higher humidity and more shelter may
accentuate epidemics. As a result, the effect of
the chamber on plants is often greater than that
of elevated [CO
2
](23). In agronomic trials,
buffer rows are used between treatments; typ-
ically the width of this zone is twice the height
of the crop. Because of the small practical size
of chambers, most or all of the treated crop will
be within this zone, which could exaggerate the
response to elevated [CO
2
](23). To overcome
these limitations, free-air concentration enrich-
ment (FACE) was developed.
How does FACE work? A typical FACE ap-
paratus consists of a 20-m-diameter plot within
the crop field (Fig. 1A), in which CO
2
is re-
leased just above the crop surface on the upwind
side of the plot. Wind direction, wind velocity,
and [CO
2
] (or ozone concentration) are mea-
sured at the center of the plot. Fast-feedback
computer control then adjusts the positions and
amount of CO
2
released at different points
around the plot. These systems have been en-
gineered so that they can operate continuously
from sowing to harvest and maintain [CO
2
]
within the plot to within T10% of the target
level, either 550 or 600 ppm, for È90% of the
time (9, 24–26) (Fig. 1B). Elevated [CO
2
]de-
creases transpiration and therefore evaporative
cooling, so that in sunlight the crop is warmer.
This can serve to illustrate the uniformity of
treatment (Fig. 1B).
Mini-FACE systems as small as 1 m in di-
ameter have been developed and have proved
invaluable in ecosystem studies where the focus
is on the effect of increased input of carbon
(27), but they do not escape the problems of
enclosures with respect to scale. Avoiding edge
effects associated with small plots is critical
when the objective is to determine an exact
CO
2
fertilization factor for crops. Our analysis
has therefore been limited to full-size FACE
systems of plots 98 m in diameter, investigating
the five major global food crops and managed
pasture systems (table S1): wheat at Maricopa,
Arizona, USA, in 1992, 1993, 1996, and 1997;
managed grassland at Eschikon, Switzerland,
from 1993 to 2002; managed pasture at Bulls,
New Zealand, from 1997 to 2002; sorghum at
Maricopa, Arizona, USA, in 1998 and 1999;
rice at Shizukuishi, Japan, from 1998 to 2000;
and soybeans at Urbana-Champaign, Illinois,
USA, from 2001 to 2005 and maize at the same
location in 2002 and 2004 (26, 28).
What have we learned from the FACE ex-
periments? The response of plant production to
[CO
2
] is approximately hyperbolic, increasing
linearly at subambient concentration and satu-
rating at around 800 to 2000 ppm. The ratio of
yield at treatme nt [CO
2
] to yield at atmospheric
[CO
2
] was calculated for over 340 independent
chamber studies. Hyperbolas of the response
of yield to [CO
2
] were then fit for wheat, soy-
beans, and C
4
grains (maize and sorghum
combined) (Fig. 2). Only one replicated FACE
experiment was conducted with each of these
crops, but these experiments were repeated over
2 to 5 years. It was notable that for each crop,
the stimulation of yield observed in FACE
experiments fell well below (about half) the
value predicted from chambers (Fig. 2). This
was apparent for total biomass and most marked
for photosynthesis. Notably, the stimulation of
photosynthesis by elevated [CO
2
]inenclosure
studies of rice was four times the value observed
in the rice FACE experiment (Table 1). With so
few FACE studies, it might be thought that
these lower values are the result of chance.
Table 1 shows that for three key production
measures in four crops, only 1 of the 12 items is
not lower than the chamber equivalent. The
probability of this outcome being attributed to
chance is remote (P 0 0.003).
Results from FACE experiments with C
4
crops are consistent with CO
2
having no direct
effect on photosynthesis, but there may be
an indirect effect through the amelioration of
drought stress by reduced stomatal conductance
at elevated [CO
2
](29–31). This fits the theoret-
Fig. 1. (A)Oneofthe
16 F ACE plots of soy-
beans at the University
of Illinois SoyF A CE facil-
ity . CO
2
is released into
the wind from nozzles in
the green pipe, on the
upwind side of the plot.
Release rate is determined
by wind speed and [CO
2
],
which is measured at the
center of each ring. (B)
The false-color infrared
image provides a simple
visualization of the uni-
formity of CO
2
treatment within a F ACE plot. Here the atmosphere around a
maize crop within the octagonal plot i s maintained at 550 ppm [CO
2
], whereas
the rest of the field is at the current ambient [CO
2
]ofÈ380 ppm. Maize
growing inside an elevated [CO
2
] plot was warmer in full sunlight than ma ize
growing under ambient [CO
2
] outside the plot at 15:30 on 15 July 2004. At
that time, the average canopy t emperature inside the four elevated [CO
2
]plots
at SoyF ACE was 27.9 T 0.2-C, significantly higher than canopy temperatures
under ambien t [CO
2
] outside the plots (26.8 T 0.3-C; P 0 0.03). Because the
pipes surrounding the plot are dry , they ar e warmer and so appear as white or
light yellow . Greater canopy temperatures under elevated [CO
2
]resultfrom
lower stomatal conductance, reducing latent heat loss by evapotranspiration
and leading to lower crop water use, as described in Leakey et al.(30).
RESEARCH ARTICLES
www.sciencemag.org SCIENCE VOL 312 30 JUNE 2006
1919

ical expectation that C
4
photosynthesis is CO
2
-
saturated at c urrent atmospheric [CO
2
](10);
therefore, no yield increase would be expected
for well-watered crops. Under drought, elevated
[CO
2
] increased midday photosynthesis by 23%
in sorghum (31). This failed to translate into a
significant yield increase (32). On average, no
significant yield increase has been observed for
C
4
crops or C
4
wild grasses at elevated [CO
2
]
in FACE studies (28). This is in sharp contrast
to the large stimulation of yield for well-
watered plants in chambers (Fig. 2B) used to
parameterize models. This suggests that the
consistent stimulation of C
4
crop yield by ele-
vated [CO
2
] currently applied in models is
inappropriate. At best, yield will in all prob-
ability be enhanced by elevated [CO
2
] only in
times and places of drought.
Wheat and rice FACE experiments included
nitrogen treatments. At the lowest [N] (15 to 70
kg of N ha
j1
), the average yield increase with
elevated [CO
2
] was only 9% (28), just over
one-third of that of the chamber response
(Table 1). Although this N input treatment
was considered low by the standards of
intensive agriculture in the European Union
and United States, these levels exceed the
world average and may therefore be closer to
the stimulation factor for crop yields across the
globe. Lower-than-expected yields under ele-
vated [CO
2
] are not just confined to grain
crops. For example, the major C
3
herbage
grass, Lolium perenne, also showed a yield
increase of only 9% at two locations; and at the
lowest [N] (100 to 140 kg of N ha
j1
), the yield
increase was an insignificant 1% (table S2)
(28). Although the data here apply to a single
species, L. perenne is one of the most important
and widely grown herbage grasses in the
temperate zone.
No FACE experiment has been conducted
in the tropics, but two factors emerging from
temperate studies have particular implications
for tropical crops. First, the CO
2
fertilization
effect may be small without large additions of
N. Second, FACE experiments with the major
grain crops of sub-Saharan Africa, sorghum and
maize, have so far failed to show any yield in-
crease from elevated [CO
2
]. Parry et al.(7)
projected that yield losses in these countries due
to climate change could be 10 to 30% by 2050,
but these would be ameliorated to only 2.5 to
5% when the CO
2
fertilization effect is added
(7). The FACE experiments suggest that this
amelioration may be far less than expected.
Rising surface ozone. Increased combustion
of fuels will increase not only atmospheric
[CO
2
] but also atmospheric nitrogen oxide con-
centrations, which, when coupled with climate
change, will result in a continued increase in
surface ozone concentration ([O
3
]). Many rural
areas in the tem perate zone of the Northern
Hemisphere, as well as in the tropics, are forecast
to see increases in [O
3
]ofÈ20% by midcentury
(8). Ozone is toxic to plants at concentrations as
low as 30 parts per billion (ppb). Although
chamber studies have shown large yield losses
owingtoelevated[O
3
](33), these effects are
not incorporated in current projections of future
yields (2, 8).
Until very recently, the only studies of the
effects of elevated [O
3
] on crops were conducted
in chambers, and it was unclear whether simi-
lar losses would occur under conditions of nor-
mal canopy/atmosphere coupling in the field.
Morgan et al.(34) used a FACE system adapte d
to elevate [O
3
]ratherthan[CO
2
]toexamine
whether the decreases in yield for soybeans in
central Illinois projected from chamber experi-
ments occurred in the open air. A 23% increase
in [O
3
] from an average daytime ambient con-
centration of 56 to 69 ppb over two growing
seasons decreased soybean yield by 20%. How
does this compare with the expectations estab-
lished from chamber studies? Based on a prior
compilation of chamber studies (33), the ex-
pected decrease was 8%. If the effects of [CO
2
]
and [O
3
] observed in FACE studies are additive,
then the net effect of simultaneous increases in
[O
3
]and[CO
2
], as forecast by the IPCC A1B
scenarios, would be a 5% decrease in yield,
compared with the 23% increase used to pa-
rameterize current models (Table 1). Chamber
studies suggest that elevated [CO
2
] may provide
some protection against elevated [O
3
]andthere-
fore the effects will not be additive, but this has
yet to be verified for any crop under open-air
field conditions.
What is needed? The CO
2
fertilization ef-
fects, derived from chamber experiments, cur-
rently used in crop models forecast substantial
increases in future crop production under con-
ditions associated with climate change. The
FACE experiments, conducted in open fields,
are not without their limitations (26, 35), but rep-
resent our best simulations of the future elevated
[CO
2
] environment. Our meta-analytic summary
of the FACE experiments indicates that there
will be a much smaller CO
2
fertilization effect
on yield than currently assumed, and possibly
little or no stimulation for C
4
crops.
The average yield increase at elevated [CO
2
]
for crops in FACE studies fell well short of the
Fig. 2. Effects of elevated [CO
2
] on crop yield. Data are yields at elevated [CO
2
]relativetothoseat
ambien t [C O
2
](arrow)for(A) soybeans in chambers (solid blue circles) and F ACE (blue square, hidden
behind red square) and wheat in chambers (red circles) and F ACE (red square); and (B)C
4
crops (maize
and sorghum combined) in chambers (green circles) and FACE studies (green square). Error bars
indicate mean T 90% confidence intervals around the means for the FACE studies. The chamber studies
included 115 indepe nden t measures of soybeans (21), 211 of wheat (36), and 14 of maize and
sorghum (table S3). These measures were divided into 10 classes of growth [CO
2
] in 100-ppm
increments. Plotted values are the class means of growth [CO
2
] and yield. Solid lines are the least-
squares fits for the nonrectangular hyperbolic response of yield to growth [CO
2
]fromtheseenclosure
studies of soybeans (blue line, r
2
0 0.98), wheat (red line, r
2
0 0.88), and C
4
crops (green line, r
2
0
0.99). The yield response of soybeans in c hambers to growth [CO
2
] of 900 to 999 ppm [open blue circle
in (A)] was an outlier and was excluded fr om the curve fitting. Full details of the meta-analysis methods
and results from FACE are presented in the SOM and table S2.
Fig. 3. Comparison of theoretical and actual
changes in C
3
crop production parameters at an
elevated [CO
2
] of 550 ppm relative to ambient
[CO
2
]. Theory, theoretical RuBisCO-limited photo-
synthesis at 550 ppm [(9)andSOM];A¶,mea-
sured daily integr al of carbon uptake; biomass,
final above-gro und biomass; yield, harvestable
grain yield. Err or bars indicate mean T 90%
confidence intervals. A¶,biomass,andyieldwere
measured in C
3
crops exposed to elevated [CO
2
]
in FACE experiments (table S2).
RESEARCH ARTICLES
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theoretically possible increase based on the
well-defined properties of RuBisCO (Fig. 3).
At 25-C, an increase in [CO
2
] to 550 ppm
should increase light-saturated photosynthesis
by 36%. The average increase observed for C
3
crops in FACE was 20% for the daily integral
of photosynthetic CO
2
uptake, 17% for total
biomass, and just 13% for yield (Fig. 3). This
suggests that a series of feedbacks operate in
the f ield to c onstrain realization of the potential
benefits of elevated [CO
2
]. Only with a
thorough high-priority R&D effort might we
overcome these feedbacks and achieve the
potential gains in food supply.
The FACE experiments clearly show that
much lower CO
2
fertilization factors should be
used in model projections of future yields;
however, the present experiments are limited in
the range of growing con ditions that they cover.
Scientists have not investigated the interactive
effects of simultaneous change in [CO
2
], [O
3
],
temperature, and soil moisture. Technological
advances suggest that large-scale open-air
facilities to investigate these interactions over
controlled gradients of variation are now pos-
sible (26). Although we have projected results
to 2050, this may be too far in the future to spur
commercial R&D, but it must not be seen as
too distant to discourage R&D in the public
sector, given the long lead times that may be
needed to avoid global food shortage.
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37. Materials and methods for meta-analyses are available as
supporting material on Science Online. Full results from
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table S2 with references in appendix S1. C
4
crop yield
responses to elevated [CO
2
] are presented in table S3
with references in appendix S2.
38. This work was supported by the Illinois Council for Food
and Agricultural Research, Archer Daniels Midland
Company, U.S. Department of Agriculture, U.S. Depart-
ment of Energy (grant DE-FG02-04ER63849), and Illinois
Agricultural Experiment Station.
Supporting Online Material
www.sciencemag.org/cgi/content/full/312/5782/1918/DC1
Materials and Methods
Tables S1 to S3
References
Appendices S1 and S2
1 March 2006; accepted 15 May 2006
10.1126/science.1114722
Frictional Afterslip Following the 2005
Nias-Simeulue Earthquake, Sumatra
Ya-Ju Hsu,
1
*
Mark Simons,
1
Jean-Philippe Avouac,
1
John Galetzka,
1
Kerry Sieh,
1
Mohamed Chlieh,
1
Danny Natawidjaja,
2
Linette Prawirodirdjo,
3
Yehuda Bock
3
Continuously recording Global Positioning System stations near the 28 March 2005 rupture of the
Sunda megathrust [moment magnitude (M
w
) 8.7] show that the earthquake triggered aseismic
frictional afterslip on the subduction megathrust, with a major fraction of this slip in the up-dip
direction from the main rupture. Eleven months after the main shock, afterslip continues at rates
several times the average interseismic rate, resulting in deformation equivalent to at least a
M
w
8.2 earthquake. In general, along-strike variations in frictional behavior appear to persist over
multiple earthquake cycles. Aftershocks cluster along the boundary between the region of coseismic
slip and the up-dip creeping zone. We observe that the cumulative number of aftershocks increases
linearly with postseismic displacements; this finding suggests that the temporal evolution of
aftershocks is governed by afterslip.
S
lip on faults occurs as a combination of
relatively continuous aseismic creep and
transient slip events. These transient events
occur as earthquakes radiating seismic waves,
and also as aseismic events with characteristic
time scales of days to years. A better understand-
ing of the physical factors that control the
relative amounts and location of seismic and
aseismic slip is a key goal in the study of fault
mechanics and in particular can affect assess-
ments of regional seismic and tsunami hazards.
After a large earthquake, postseismic deforma-
tion may result from earthquake-induced slip
along the plate interface, comm only referred to
as afterslip, and as viscoelastic relaxation in the
volume surrounding the fault rupture (1–3).
Thus, well-positioned postseismic observations
can probe the mechanical properties of sub-
duction megathrusts and the media that sur-
round them.
Geodetic and seismological investigations
suggest that typical subduction megathrust
earthquakes involve fault rupture at depths be-
tween È10 km and È50 km, and that rupture all
the way up to the trench is rare (4). However,
evidence for slip on the shallowest portions of a
megathrust has been notoriously difficult to
evaluate. We commonly assume that seismic
slip decreases in both up-dip and down-dip
directions, presumably bounded by regions
where frictional behavior of the fault does not
support stick-slip (i.e., seismic) rupture (5).
1
Division of Geological and Planetary Sciences, California
Institute of Technology, Pasadena, CA 91125, USA.
2
Re-
search Center for Geotechnology, Indonesian Institute of
Sciences, Bandung 40135, Indonesia.
3
Institute of Geo-
physics and Planetary Physics, University of California, San
Diego, La Jolla, CA 92093, USA.
*To whom correspondence should be addressed. E-mail:
yaru@gps.caltech.edu
RESEARCH ARTICLES
www.sciencemag.org SCIENCE VOL 312 30 JUNE 2006
1921