holocene paleoseismicity in the fold and thrust belt of the hikurangi subduction zone, eastern north...
TRANSCRIPT
Tecronophysics, 163 (1989) 185-195 Elsevier Science Publishers B.V., Amsterdam - Printed in The Netherlands
185
Holocene paleoseismicity in the fold and thrust belt of the Hikurangi subduction zone, eastern North Island,
New Zealand
K.R. BERRYMAN ‘, Y. OTA 2 and A.G. HULL **
I New Zealand Geological Suruey, P.O. Box 30368, Lower Hutt (New Zealand)
’ Ge0graph.v department, Yokoh~a Nationat university, Hodoga~a-K~, Yokohama 240 (~apan~
(Received April 20,1988; accepted May 8.1988)
Abstract
Berryman, K.R., Ota, Y. and Hull, A.G., 1989. Holocene paleoseismicity in the fold and thrust belt of the Hikurangi subduction zone, eastern North Island, New Zealand. In: N.-A. Miimer and J. Adams (Editors), Paleoseismicity and Neotectonics. Tectonophysics, 163: 185-195.
Along the 500 km long eastern coastline of the North Island, New Zealand there are, at most, seven distinct
Holocene marine terraces aged 7 ka B.P. or less. The highest of the terraces is 27 m above present-day mean sea level. The coastal region is subdivided into fourteen distinct subregions based on radiocarbon ages of marine deposits overlying wave-cut shore platforms and geographic distribution of similarly-aged terraces.
Holocene marine terraces are the result of uplift associated with large earthquakes (co-seismic deformation). This conclusion is based on characteristic stepped terrace morphology, clustering of ages of terrace deposits within
subregions. and the occurrence of co-seismic uplift in historic time. Differential uplift across structures and distinct age variations at subregion boundaries are also characteristic.
Recurrence intervals of uplift in any one terrace sequence vary from - 0.4 ka to - 2.0 ka, and individual amounts of uplift vary from - 1.0 m to - 4.0 m. In the past - 2.5 ka ages from all terraces within subregions indicate at least 21 paleoseismic events affecting coastal areas of eastern North Island in that period. These events cluster in time, and
in separate parts of eastern North Island several earthquakes occurred - 0.3,0.6,1.0, 1.5, 2.1 and 2.3 ka B.P. Our data strongly support the concept of segmentation of deformation along the subduction margin.
The likely cause of coastal uplift is movement on steep reverse faults (local structures rather than the subduction thrust) that propagate from or near the subduction thrust some 20-2.5 km below the region. Earthquakes of moment magnitude 7.3-8.0 are estimated to be associated with these fault movements.
In~~uction
Part of the present boundary between the Australian and Pacific plates in the southwest Pacific is along the Hikurangi Trough, east of the 500 km long eastern coastline of the North Island, New Zealand. The magnitude of the relative plate
* Present address: Department of Geological Sciences, Uni- versity of California, Santa Barbara, CA 93106 (U.S.A.).
Q 1989 Elsevier Science Publishers B.V.
vector varies from 45 to 55 mm/yr, and is ori- ented approximately normal to the Hikurangi Trough in the north and increasingly oblique to the south.
Recent studies of the age and distribution of Holocene marine terraces along the east coast of the North Island (Fig. 1) have been described in terms of a paleoseismicity record in various parts of the region (Berryman, 1983; Ota et al., 1983; Hull, 1987; Ota et al., in press, a). This paper
186
I I I I 178’E 178-E 179-E 18t
IIIw -p Pakarae Rwe~
Cape KIdnappers
Fw 2
0 50 100 km
Paleogene
0 Neogene and Quaternary
175’E 176’E 177-E 178-E 179-E I I 1 I I
38-S
Fq 5
39-s
40’S
41’S
18C I
Fig. 1. Locality map showing plate tectonic setting and place names mentioned in text. After Walcott (1978a).
summaries these data, presents the case that each
terrace in each subregion represents co-seismic
uplift and assesses the spatial and temporal distri-
bution of the seismic events causing the uplift.
Tectonic setting
The present boundary between the Australian Outcropping rocks of the continental border-
and Pacific plates extends northeast through New land are composed largely of terrigenous, late
Zealand from the Puysegur Trench in the south- Cenozoic trench-fill sediment offscraped from the .
west to the Hikurangi Trough, 50-150 km east of
the shoreline of the North Island (Weissel et al.,
1976) (Fig. 1). Along the east coast of the North
Island the Pacific Plate is being subducted be-
neath the Australian Plate at the Hikurangi Trough
(Adams and Ware, 1977; Walcott 1978a, b; Re-
yners, 1980).
Frontal Rtdge Forearc Basin Htghest Accretlonary Ridge
maln ranges coastal hills
sea
I
0 50km I 4
Fig. 2. Diagrammatic cross-section of eastern North Island just south of Hawke Bay. Black represents pre-late Cretaceous greywacke
basement. Cross-hatching represent late Cretaceous. Coarse stipple represents early Tertiary. Fine stipple represents late Tertiary and
white represents Quatemary. The coastal study area is on the coastal margin of the highest accretionary ridge. Based on sections by
Kingma (1962) and Van der Lingen and Pettinga (1980).
187
Fig.
rive]
3. Aerial view westwards of Holocene marine terraces at the mouth of the Pakarae River. The prominent, high terrace above the
. is TI of Fig. 5. An active fault disrupts the terrace sequence on the far (southwest) side of the river. Photo A14791a. D.L.
Homer, N.Z. Geological Survey.
subducting plate and subsequently uplifted (Lewis,
1980). An imbricate thrust system underlying
asymmetric fold structures has developed roughly
parallel to the continental slope and the Hikurangi
Trough (Lewis, 1971; Lewis and Bennett, 1985;
Davey et al., 1986).
The western portion of the imbricate thrust
system is exposed near the present coastline, where
a zone of coastal hills records rapid uplift (Pet-
tinga, 1982) (Fig. 2). To the west, late Cenozoic
sedimentary basins have been uplifted and dis-
rupted by normal faulting, and further west, near
the axial ranges of the North Island, the region is
disrupted by both contractional and translational
structures (Fig. 2).
Uplifted marine terraces of both Holocene and
last interglacial age occur extensively in coastal
areas (Figs. 3 and 4). Terraces are often landward
tilted (Yoshikawa et al., 1980; Berryman, 1983;
Ota et al., 1983) and suggest deformation in re-
sponse to convergence on west-dipping faults of
the imbricate thrust system.
Age estimates of Holocene marine terraces
Ages of individual terraces have been obtained
from radiocarbon dating of shell and wood
material incorporated in beach deposits that over-
lie marine-cut shore platforms. Throughout much
of the study area, shore platforms are cut in soft
late Cenozoic sedimentary rocks, but in the south
they are cut in harder Cretaceous and older, weakly
metamorphosed, flysch sediments (Fig. 1). To the
northeast of Hawke Bay (Fig. 1) airfall volcanic
ash layers are also found within marine and ter-
restrial deposits underlying the terraces, providing
additional age control.
Uncertainties in the amount and timing of up-
lift of the elevated marine terrace sequences arise
from sample height with respect to present mean
188
# 9 : 3 Terraces
3200.5400~.5600 Y6P
,y.y , 176’ (+3). 6700 yBP 178’E I
Fig. 4. Fourteen tectonic subregions on east coast of North
Island, on the basis of radiocarbon ages of Holocene marine
terraces. Faults associated with coastal uplift are tentatively
located in subregions 3, 5, 13, and 14.
sea level, sample height with regard to former
mean sea level, the radiocarbon dating method
and relation of dated sample to time of uplift. In
the following paragraphs we discuss each of these
considerations.
Sample elevation with respect to present mean sea
level
All samples were from beach deposits overlying
marine-cut shore platforms. The elevation of the
shore platform at the sample collection site (or
ideally at the shoreline-angle) was measured by
Abney or automatic level as an elevation above
local sea level. These heights are regarded as accu-
rate to kO.5 m.
Elevations were then corrected to mean sea
level by interpolation to published tide tables for
several locations along the east coast (Ministry of
Transport, 1984). Maximum tidal range is 1.9 m
for outer coastal areas with a mean of about 1.6
m. Errors introduced by this factor are estimated
to be less than +0.3 m.
Sample height with regard to former mean sea level
Gibb (1986) has shown that the sea level
fluctuated by only about kO.5 m since the
culmination of the postglacial transgression about
6.5 ka B.P.
All shell samples dated in the present study are
intertidal in habitat and most cannot tolerate more
than 3 m water depth. Two genera that were
commonly dated, Nerita and Melagraphia, re-
quire emergence during each tidal cycle for
survival.
The formation of marine-cut shore platforms in
relation to mean sea level also introduces uncer-
tainties in calculating uplift. In microtidal en-
vironments, such as along the east coast of the
North Island, wave-cut shore platforms are almost
always formed within the tidal range (Kirk, 1977;
Trenhaile and Layzell, 1981; Hull, 1987). Half the
mean tidal range (kO.8 m) is considered a rea-
sonable overall uncertainty due to these factors.
The overall error due to height and sea level
uncertainties is estimated as the square root of the
sum of the squares, i.e.:
/(0.5)2 + (0.3)2 + (0.5)2 + (0.8)2 = 1.1 m
Radiocarbon dating
All ages quoted are calculated on the Libby
half-life of 5568 years. Errors are derived from
laboratory counting statistics. At the two standard
deviation level they generally represent 5-10% of
the age of the sample. Where multiple dates are
available from a single terrace they are generally
indistinguishable at two standard deviations.
Relationship of dated sample to time of uplift
In most places along the outer, exposed, parts
of the eastern North Island coastline, the present
shore platform has only a sporadic and ephemeral
cover of beach deposits. Therefore the ages of
sediments preserved on uplifted shore platforms
do not vary appreciably and are considered to be
close to the time of emergence above marine con-
ditions.
A feature of tectonic deformation on coasts in
many circum-Pacific areas such as Alaska and
Japan is subsidence between major co-seismic up-
lift events. In Alaska, subsidence for up to 1300
years occurred prior to the uplift associated with
the 1964 Prince William Sound Earthquake
(Plafker, 1969) and in Japan rapid subsidence of
10 mm/y occurred for 20-30 yrs prior to the 1923
Kanto Earthquakes (Matsuda et al., 1978). Hull
(1987) noted that on an uplifted shore platform at
Cape Kidnappers radiocarbon ages of samples
tend to decrease as one approached the former
shoreline angle, consistent with subsidence. In
general, the date of the youngest sample will closely
approximate the time of uplift. In this study we
accept the youngest age obtained from each ter-
race (provided it falls within 95% confidence limits
of ages of other samples from that terrace) as the
time of uplift.
Summary of age estimates: spatial and temporal
relations
About 150 samples from beach and estuarine
deposits of Holocene age have been dated from
marine terrace sequences along the east coast of
the North Island (Singh, 1971; Berryman, 1983;
Ota et al., 1983; Hull 1987; Ota et al., in press, a)
(Fig. 4). The samples have been obtained from
terrace sequences that range in elevation from
only about 1 m above mean sea level (a.m.s.1.) up
to 27 m a.m.s.1. at Pakarae River (Fig. 1) and
have, at most, seven distinct levels at Pakarae
River and south Wairarapa. At Mahia Peninsula
(Fig. 1) six distinct levels have been mapped, but
in other areas the Holocene plain consists of less
than six terraces in areas further from the
Hikurangi Trough, such as in Hawke’s Bay and
Poverty Bay (Fig. 1). These areas are to the west
of the zone of rapid uplift in the coastal hills and
suggests there is either vertical tectonic stability or
subsidence in the forearc basin (Fig. 2).
The oldest terrace in many of the sequences
corresponds to the culmination of transgressive
estuarine deposits that accumulated during the
189
rise in sea level from the last glacial lowstand. The
age of the culmination terrace ranges from about 6
ka B.P. to 7 ka B.P. being older in more rapidly
uplifted areas and younger in lower uplift areas
(Ota et al., in press, b). The mean age of the
culmination is in agreement with Gibb’s (1986)
generalised New Zealand Holocene sea level curve
that did not utilise data from the study area.
Marine terrace data in the Pakarae River area
(Figs. 3, 5 and Table 1) serves as a representative
example of the geomorphology and terrace age
data obtained. A total of seven terraces of marine
origin are distributed on either side of the Pakarae
River. All terraces have been dated and range in
age from c. 0.6 ka B.P. to c. 6.7 ka B.P. The
morphology is characterised by subhorizontal ter-
TABLE 1
Radiocarbon dates from Holocene marine terrace deposits at
Pakarae River, subregion 3
Site Material Code No. 14C date Height Terrace
(N.Z.) a (yrs B.P.) b a.m.s.1. ’
(m)
A shell 7088 6920 + 240 23.4 Tl
A shell 5572 6740 f 300 22.0 Tl
A wood 10460 + 9160+360 3.6 Tl
A shell 10459 * 9960 + 500 3.6 Tl
B she11 7113 549Ok 120 12.7 T2
B shell 7126 8120+200 9.1 Tl
C shell 7047 2700* 90 7.0 T4
D shell 10464 * 7710 f 300 3.4 Tl
E shell 7101 168Ok 120 4.1 T5
F shell 7078 1570* 130 1.9 T5
G shell 7131 682Ok 180 c.10 Tl
G shell 7124 6880 f 200 c.11 Tl
H shell 7130 3910 f 140 12.8 T3
I she11 7104 2450+100 11.0 T4
J shell 6489 1030+ 80 4.2 T6
J shell 6490 1000+ 70 3.2 T6
K shell 6460 1625+ 70 7.5 T5
Code number refers to dates from the Institute of Nuclear
Sciences (I.N.S.), D.S.I.R. Radiocarbon Laboratory, New
Zealand. * indicates samples dated at Gakushuin University
Laboratory, Japan.
Radiocarbon ages are in relation to Libby f life with 2
standard deviation confidence limits. Shell ages from INS
calculated with respect to N.Z. Shell std; Ai4C of -41%.
All INS ages are corrected for isotopic fractionation by
normalizing to A13C of - 25% relative to PDB.
Heights are considered accurate to + 1.1 m relative to former
sea level position at time of beach deposit accumulation.
190
(a)
Tl A _~n
m volcanic ash
m drift pumice
B s&
m sand
m gravel
m basement mudstone
- wood
Q +Q shell
BR beach ridge
0 sand dune
T4 T3 J,
10
0 0
(bf
Fig. 5. G~rno~hoio~c~ map (a) and cross-sections (b) of the coastal Pakarae River area. The sequence of marine terraces is
labelted TI-T7. Letters refer to location where the samples have been obtained for radiocarbon dating. Cross-section locations are
shown. All radiocarbon dates have 2 standard deviation uncertainties. P.F.-Pakarae Fault. Fine stippling-dunes; dashes-beach
ridges, Wk-Wbakatane Ash (- 4800 yrs B.P.).
191
race treads that represent marine abrasion during
tectonic and distinct terrace risers that represent
each uplift event. The terrace sequence is also
disrupted by the active Pakarae Fault.
In coastal Wairarapa (Figs. 1 and 4) four subre-
gions have been distinguished, each of which has
different terrace age sequences adjacent to one
another. For example a subregion to the southwest
of Flat Point (Figs. 1 and 4) has a terrace se-
quence comprising seven levels, the lower three of
which have ages of c. 1, 2, and 3.5 ka B.P. To the
northeast of Flat Point the youngest two terraces
of the sequence have ages of c. 0.6 and 1.5 ka B.P.
Dates are not available from many of the higher
and older terraces in the sequences.
Mechanism of uplift of Holocene marine terraces
The Holocene marine terrace sequences dis-
cussed above have identical morphology along the
whole east coast of the North Island and we
propose that co-seismic uplift is the mechanism of
formation of the terraces. Our arguments (out-
lined below) for a co-seismic uplift mechanism are
similar to those of Hull (1987).
That the uplift is co-seismic is supported by
three main lines of evidence: (1) characteristic
stepped terrace morphology, (2) clustering of ages
of terrace deposits with statistically significant
gaps between successive terraces, and (3) historic
occurrence of co-seismic coastal uplift in New
Zealand in 1855 (Ongley, 1943; Wellman, 1967)
and 1931 (Henderson, 1933; Marshall, 1933; Hull,
1986). Differential uplift across structures and dis-
tinct age differences for the timing of uplift of
adjacent structures rule out episodes of increased
storminess on aseismically uplifting coasts as the
mechanism of terrace formation (cf. Lajoie, 1986,
p. 102).
The assigned age for each terrace is therefore
considered to be the time of a past, moderate-large
magnitude earthquake uplifting the coastal area.
The terrace data indicate that paleoseismic
events have uplifted only discrete parts of the
coastline and that the boundaries between regions
are reasonably fixed in time and space. For exam-
ple, terrace age data from Mahia Peninsula and
Pakarae River (Fig. 1) illustrate similar ages for
some terraces (paleoseismic events) but significant
differences for others. At Mahia Peninsula, the
width of the zone of uplift associated with the
Lachlan Anticline (Fig. 1) is about 10 km. The
Lachlan Anticline extends to the northeast and
lies about 20 km offshore of the Pakarae River
locality. Parallel to the Lachlan Anticline, but
only 2-3 km offshore of Pakarae River, bathymet-
ric data indicate a possible fault which may be
responsible for coastal uplift there.
From these studies, we believe that the identifi-
cation of co-seismic terraces younger than about
2.5 ka B.P. is reasonably complete. The age distri-
bution of terraces provides a criterion for subdi-
viding the study area into subregions with unique
terrace age sequences (Fig. 4). A total of fourteen
subregions are recognised. Some subregions are
characterised by rapid uplift, some by a lack of
Holocene uplift, and some (for instance in the
inner Hawke Bay area associated with co-seismic
uplift in 1931) by subsidence interrupted by infre-
quent uplift at perhaps 10 ka intervals (Hull,
1986).
Discussion
Analyses of Holocene marine terraces indicate
there is a distinct spatial and temporal distribu-
tion of paleoseismic events in the study area (Fig.
6). Episodes of activity occurred 0.3, 0.5-0.6,
0.9-1.0, 1.5-1.6, 2.0-2.1 and 2.3-2.4 ka B.P. Two
subregions experienced uplift about 0.3 ka B.P.,
three subregions about 0.5-0.6 ka B.P., three sub-
regions 0.9-1.0 ka B.P. and five subregions about
1.5 ka B.P. The data show that there have been
periods of high seismicity separated by periods of
relative quiescence. Dating resolution is not good
enough to show the spatial sequence of earth-
quakes within any one episode of high activity.
Recurrence intervals of periods of increased
seismicity are not constant and range from 200 to
500 years. The last active period, with the excep-
tion of the 1931 Hawke’s Bay Earthquake, was
about 0.3 ka B.P.
The 1931 event may signal the beginning of a
new phase of activity, although its occurrence in a
subregion experiencing uplift with only very long
recurrence intervals makes this unlikely.
192
CAPE PALLISER 1931 Earthquake
EAST CAPE
(a)
SUBREGIONS i 1716lErl [Ij
1 14 1131121 11 1 lalsl I 3 I 2 I k I
0 100 200
1 1 4
300 400 500 km
(b)
Fig. 6. a. Coast-parallel plot showing the clustering in time of paleoseismic events in coastal areas of eastern North Island into five
episodes (shading) for the period back to 2.5 ka B.P. Symbol height encompasses 2 standard deviation dating uncertainty (dashed line
in upper zone is 1 standard deviation) and symbol length represents the length of the region that may be affected by individual
paleoseismic events. b. Schematic plan view of the spatial distribution of subregions. Subregions closer to the Hikurangi Trough are
toward the bottom of the figure. Length of symbols in (a) correspond to subregion positions in (b).
For a few of the subregions, we identify faults
that are likely to cause coastal uplift (Fig. 4).
These are reverse faults at the trailing edge of the
imbricate thrust system associated with deforma-
tion of the continental borderland. The reverse
faults may propagate upward from a decollement
surface a little above the subducting oceanic crust
(Davey et al., 1986). The depth of the decollement
beneath the study area is 20-25 km (Reyners,
1980; Davey et al., 1986).
The dimensions of coastal uplift in some of the
subregions can be used to calculate the seismic
moment (Hanks and Kanamori, 1979) (Table 2)
and thus estimate the possible moment magnitude
range of earthquakes associated with coastal up-
lift. For five subregions where a reliable estimate
of their length and the likely location of causative
faults are known the derived moment magnitude
is in the range 7.3-8.0 (Table 2). Some of the
parameters we use for moment magnitude calcula-
tions are derived from dislocation modelling of
the 1931 Hawkes Bay earthquake by Haines and
Darby (1987). Dislocation modelling of that event,
using both geologic and vertical and horizontal
geodetic data, has shown that coastal uplift was
associated with movement on a west-dipping re-
verse fault that ruptured from near the subduction
thrust. There are close similarities between the
1931 event and prehistoric coastal uplift events in
terms of the style of deformation, length of re-
gions affected by a single uplift and the magnitude
of uplift. Haines and Darby (1987) have calcu-
lated that there was an average of about 8 m of
dip-slip movement on the fault causative of about
2.5 m of coastal uplift near Napier during the
1931 earthquake. Thus the 1931 event is a very
useful analogy and the moment magnitudes
calculated in Table 2 are entirely reasonable for
the region.
Our study also sheds some light on the seismic
193
TABLE 2
Calculation of moment magnitudes
Subregion Fault plane dimensions MO c
M, d
3
5
12
13
14
length uplift fault slip a fault area b
(km) (m) (m) (m2 X 10”)
25 2-4 6-8 0.5-1.1
150 l-4 5-8 2.5-5.2
25 l-2 5-6 0.4-0.6
30 l-2 5-6 0.5-0.8
75 l-3 5-8 1.3-2.6
(Nm x 102’)
1.5- 3.2 7.4-7.6
7.7-15.5 7.8-8.0
1.2- 1.9 7.3-7.4
1.5- 2.3 7.4-7.5
3.8- 1.7 7.6-7.8
a Assessed by analogy with dislocation modelling of the 1931 Hawke’s Bay Earthquake (Haines and Darby, 1987).
’ Assumes rupture initiation on or close to the subduction thrust 20-25 km below the site and that the faults dip at - 60”
’ MO = seismic moment assuming a rigidity of 3 X 10” Nrn-’
d M, = moment magnitude calculated from the equation: M, = ~(log,,M, - 9.1). (Hanks and Kanamori, 1979).
potential of other reverse faults deforming the
borderland offshore towards the Hikurangi
Trough. There are as many as fourteen ridges with
associated reverse faults in various transects across
the offshore part of the continental borderland
(Lewis and Bennett, 1985). We have shown that
along the inner margin of this borderland a series
of major earthquakes affect parts of eastern North
Island for 100-200 year periods, followed by
quiescence for perhaps 200-500 years. While there
have been some historic earthquakes in the off-
shore area, there is a major deficiency if the rate
of activity recognised from the Holocene marine
terrace sequence is extrapolated to each of the
many structures recognised offshore. This de-
ficiency leads us to conclude that the steepest and
probably oldest faults of the accretionary border-
land, which now occur within the highest accre-
tionary ridge, have the highest large earthquake
potential. While it seems likely that the border-
land is extending outward by progressive deforma-
tion, at the leading edge of the imbricate thrust
system (Davey et al., 1986), the movement on the
equivalent reverse faults may be aseismic because
the sediment is too soft or pore-water pressures
are too high.
Conclusions
We conclude that the sudden coastal uplift
recorded by uplifted marine terraces is associated
with movement on the older individual faults of
the imbricate thrust system within the continental
borderland. Although a large coastal landslide,
with a submarine toe region resembling a reverse
fault, has been described from one part of the
study area (Pettinga, 1985) the phenomenon does
not seem to be widespread in coastal areas. Simi-
larly, although normal faults are described from
onshore parts of eastern North Island (Mazen-
garb, 1984) they appear to be largely westward of
the zone of reverse faults causing coastal uplift.
The style of coastal uplift with strong landward
tilting is inconsistent with normal faulting.
No rupture of the subduction thrust occurred
during the 1931 Hawke’s Bay earthquake (Haines
and Darby, 1987) and similarly we have found no
evidence that any of the 21 paleoseismic events
inferred to have occurred in the past - 2.5 ka B.P.
along the inner margin of the Hikurangi subduc-
tion system, have been associated with major co-
seismic movement of the subduction thrust. We
believe coastal deformation can be primarily at-
tributed to movement on west-dipping reverse
faults within the accretionary prism.
Acknowledgements
Support for this work came from Japanese
Ministry of Education, Science and Culture (grants
60041029 and 61043025) and New Zealand Geo-
logical Survey. We thank Nozomi Iso, Takahiro
Miyauchi, Katsuhiko Ishibashi, Len Brown, Deb-
bie Fellows, Brad Pillans, Dave Francis, Colin
194
Mazenbarb, Kenichiro Y amashina and Masumi
Miyoshi for assistance with various parts of the
fieldwork. Keith Lewis, Simon Lamb, Harvey
Kelsey and John Adams provided very helpful
reviews of the manuscript.
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