HYDROLOGICAL PROCESSES Hydrol. Process. 17, 1691–1710 (2003) Published online 5 March 2003 in Wiley InterScience (www.interscience.wiley.com). DOI: 10.1002/hyp.1210

Determining long time-scale hyporheic zone flow paths in Antarctic streams

Michael N. Gooseff,1* Diane M. McKnight,1 Robert L. Runkel2 and Bruce H. Vaughn1 1 Institute of Arctic and Alpine Research, University of Colorado, Boulder, CO, 80309-0450, USA 2 U. S. Geological Survey, Mail Stop 415, Denver Federal Center, Denver, CO, 80225, USA

Abstract: In the McMurdo Dry Valleys of Antarctica, glaciers are the source of meltwater during the austral summer, and the streams and adjacent hyporheic zones constitute the entire physical watershed; there are no hillslope processes in these systems. Hyporheic zones can extend several metres from each side of the stream, and are up to 70 cm deep, corresponding to a lateral cross-section as large as 12 m2, and water resides in the subsurface year around. In this study, we differentiate between the near-stream hyporheic zone, which can be characterized with stream tracer experiments, and the extended hyporheic zone, which has a longer time-scale of exchange. We sampled stream water from Green Creek and from the adjacent saturated alluvium for stable isotopes of D and 18O to assess the significance and extent of stream-water exchange between the streams and extended hyporheic zones over long time-scales (days to weeks). Our results show that water residing in the extended hyporheic zone is much more isotopically enriched (up to 11‰ Dand2Ð2‰ 18O) than stream water. This result suggests a long residence time within the extended hyporheic zone, during which fractionation has occurred owing to summer evaporation and winter sublimation of hyporheic water. We found less enriched water in the extended hyporheic zone later in the flow season, suggesting that stream water may be exchanged into and out of this zone, on the time-scale of weeks to months. The transient storage model OTIS was used to characterize the exchange of stream water with the extended hyporheic zone. Model results yield exchange rates (˛) generally an order magnitude lower (105 s1) than those determined using stream-tracer techniques on the same stream. In light of previous studies in these streams, these results suggest that the hyporheic zones in Antarctic streams have near-stream zones of rapid stream-water exchange, where ‘fast’ biogeochemical reactions may influence water chemistry, and extended hyporheic zones, in which slower biogeochemical reaction rates may affect stream-water chemistry at longer time-scales. Copyright  2003 John Wiley & Sons, Ltd.

KEY WORDS isotope transport; OTIS; Dry Valleys; hyporheic zone

INTRODUCTION Fluvial hydrological flow paths, and in particular hyporheic exchange processes, have been identified as important for understanding aquatic biogeochemical cycling (Harvey and Bencala, 1993; Mulholland et al., 1997; Gooseff et al., in press). White (1993) noted that there is no single definition or method of delineation of the hyporheic zone that applies for all hyporheic zone studies, although Harvey and Bencala (1993) developed the following hydrological definition: a subsurface flow path parallel to stream flow in which water that was recently in the stream mixes with subsurface water and will shortly return to the stream. As Bencala (2000) points out, ‘hyporheic zones influence the biogeochemistry of stream ecosystems by increasing solute residence times.’ The extent of the actively exchanging hyporheic zone within the adjacent wetted zone of a typical stream cannot be measured directly (i.e. vertical extent versus lateral extent). Current methods for characterizing hyporheic zone influences on stream processes generally require a stream-tracer injection experiment and subsequent inverse modelling to fit model output to observed data using the transient storage

* Correspondence to: Michael N. Gooseff, Department of Aquatic Watershed and Earth Resources, Utah State University, 5210 Old Main Hill, Logan, UT 84322-5210, USA. E-mail: [email protected] Received 22 February 2002 Copyright  2003 John Wiley & Sons, Ltd. Accepted 6 August 2002 1692 M. N. GOOSEFF ET AL.

(TS) model developed by Bencala and Walters (1983). Harvey et al. (1996) have discussed the reliability of the stream-tracer approach to characterize hyporheic exchange. Their results show that the method is reliable for characterizing ‘near-stream’ flow paths and storage zones, that is, flow paths that exchange on the time- scale of the experiment (generally hours to a few days), and that the technique most reliably characterizes this exchange at low baseflow conditions. The tracer method is not sensitive to slower exchange with storage zones more distant from the stream, because the time-scale of exchange into and out of ‘distant’ hyporheic zones is greater than the duration of the stream-tracer experiment. In this study, we define the hyporheic zone as the area of saturated alluvium adjacent to the stream that exchanges water and solutes, on any time-scale, with the stream. Further, we will distinguish between two hyporheic zones, (i) the near-stream hyporheic zone, which is readily characterized by the stream-tracer technique, as described by Harvey et al. (1996), and has time-scales of exchange on the order of hours, and (ii) the extended hyporheic zone, in which exchange with the stream occurs on the time-scale of days to weeks or longer. We propose that the extended hyporheic zone is tenuously connected to the stream, and we expect that over a long time (weeks to months), the influence of the stream on the extended hyporheic zone, and vice versa is detectable. The streams of the Antarctic Dry Valleys provide a unique environment in which to study fluvial processes. The streams are fed by glacial meltwater during the austral summer, a period of constant sunlight. Because there is no vegetation, the extent of the wetted sediment adjacent to the stream, which comprises the hyporheic zone, can be measured directly, unlike temperate streams. There is no regional groundwater system in contact with the streams (Chinn, 1993), thus all water within the adjacent wetted zone comes from the stream. The exchange of stream water between the stream and the near-stream hyporheic zone has been characterized in two Dry Valley streams in previous tracer experiments: Huey Creek (Runkel et al., 1998) and Green Creek (McKnight et al., 1999). Both studies found that the porous alluvium of the streambeds allowed for rapid rates of near-stream hyporheic exchange. Consequences of rapid exchange between the stream and the near-stream hyporheic zone are increased weathering rates of streambed material (Lyons et al., 1997; Maurice et al., 2002; Gooseff et al., in press) compared with temperate watersheds, and increased nutrient uptake as stream water flows toward the closed-basin lakes on the valley floors (McKnight et al., 1999). Physical cross-sectional wetted areas adjacent to streams are much larger than the storage zone size identified by previous tracer experiments in Dry Valley streams (Conovitz, 2000). We hypothesize that all of this extensive wetted cross- sectional area comprises an actively exchanging hyporheic zone, and that previous tracer methods have not identified long timescale extended hyporheic exchange. Many recent studies have focused on the discretization of water flow paths and water residence times in the environment using stable isotopes (Stout, 1967; Hooper and Shoemaker, 1986; Kennedy et al., 1986; Turner et al., 1987; Maule´ and Stein, 1990; McDonnell et al., 1991; Cooper et al., 1993; Kendall and Caldwell, 1998). Other studies have shown that the flow path water takes and its residence time in the environment (e.g. in the subsurface of a hillslope) strongly influence the quality of water observed in streams (Kennedy, 1971; Pilgrim et al., 1979; Cirmo and McDonnell, 1997). The most commonly used stable isotopes as hydrological tracers are deuterium (D) and 18O. Stable isotopes can be used in hydrograph separation, to discern subsurface flow from overland flow as well as to discern spring snowmelt contribution to stream flow (Cooper et al., 1991, 1993; McDonnell et al., 1991; Stewart and McDonnell, 1991; McNamara et al., 1997). Stable isotopes can also be used to quantify hydrological fluctuations in glacially dominated catchments (Epstein and Sharp, 1959; Theakstone and Knudsen, 1996), and as an indicator of permafrost and active layer contributions to local hydrology (McLean et al., 1999). Modelling isotope transport and fractionation in groundwater systems (Krabbenhoft et al., 1990; Johnson and DePaolo, 1997) has provided a framework for similar studies in other hydrological systems. Studies of stable isotopes with respect to hydrological and atmospheric interactions in temperate streams have been reported. McKenna et al. (1992) investigated bank storage of enriched Lake Tahoe water in the Truckee River, USA. Gremillion and Wanielista (2000) reported evaporative υ18O enrichment by roughly 1‰ of water in the Econlockhatchee River, USA, compared with other watershed sources (groundwater, precipitation). Simpson

Copyright  2003 John Wiley & Sons, Ltd. Hydrol. Process. 17, 1691–1710 (2003) LONG TIME-SCALE HYPORHEIC FLOW PATHS 1693 and Herczeg (1991) also studied stream-water enrichment owing to evaporation on the River Murray in southeast Australia. They found that υD enrichment was C0Ð62‰ for 1% loss of water volume. In this study we use stable isotopes of stream and substream water as a natural hydrological tracer to discern the hydrological flow path and the residence times of water in Dry Valley stream systems. We hypothesize that isotopic signatures of the water residing in the extended hyporheic zone will be enriched compared with the isotopic signature of flowing stream water. We further propose that this enrichment in the extended hyporheic zone is probably the result of evaporation (during the summer) and sublimation (during the winter) of the water through the porous sediments. Enrichment of the water from evaporation and sublimation suggests that extended hyporheic water has a longer and slower flow path than water in the stream, allowing ample time for these processes to occur. This hypothesis is tested using the TS model to simulate stable isotope observations (D and 18O) from the stream and the extended hyporheic zone. Resulting exchange parameter values provide order-of-magnitude estimates of water residence time within extended hyporheic zones, and the time-scale of its influence on stream biogeochemistry. The magnitude of isotopic signature difference between the stream and subsurface water, as well as an evaporation fractionation constraint using simple evaporation pan experiments, suggest that stream-water exchange occurring with the extended hyporheic zone influences the isotopic signature of the stream. To the best of our knowledge, this is the first study in which stable isotope data are used to model hyporheic exchange.

Site description The McMurdo Dry Valleys of Antarctica are made up of many alpine, piedmont and terminal glaciers, permanently ice-covered closed basin lakes, bare ice-free soils and stream channels. The climate is very cold and dry. The average annual air temperature is 20 °C, and annual lake-ice-cover ablation rates are of the order of 0Ð35 m (Clow et al., 1988; Chinn, 1993). Our study focuses on Delta Stream and Green Creek, in the basin in (Figure 1). Delta Stream originates near the Howard Glacier, along the southern border of the valley. It is the longest stream in Taylor Valley, at 11Ð2 km, and is gauged about 100 m upstream of its mouth. Green Creek is approximately 1 km long and originates at the south-eastern tongue of the Canada Glacier, and is gauged halfway down its length. Continuous discharge was computed from 15-min pressure-transducer stage data and a stage–discharge relationship was developed for each stream gauging station (Von Guerard et al., 1995). At the height of the austral summer, meltwater is produced at the glaciers and flows down sandy alluvial stream channels. Stream discharge ranges from extended periods of zero flow to peaks of the order of 100 L s1 (Figure 2). The flow season generally lasts 6 to 12 weeks. Stream flow is the main source of water and nutrients to the closed basin lakes on the valley floors. The main loss of water from these lakes is ablation of their 4 to 6 m thick ice covers (Chinn, 1993). The streambed alluvium is very porous, and becomes saturated as stream flow progresses down the channel when glacial melt begins. At the beginning of the summer, the active layer is still frozen with stream water from the previous flow season, and the amount of interstitial space within streambed alluvium is at a mini- mum (Figure 3A). Stream flow generally becomes continuous in late November or early December, and the streambed is continually wetted. Obvious lateral wetted zones are established up to several metres from the edge of the stream over several weeks (Conovitz, 2000). As the summer progresses, the active layer thaws and the depth to permafrost is generally from 30 to 70 cm (Figure 3B). Permafrost acts as a vertical barrier to water penetration underneath the stream (Conovitz et al., 1998, Conovitz, 2000). Storage of stream water in the streambed material represents a large reservoir of water, as much as 11 088 m3 in Delta Stream and 990 m3 in Green Creek. During colder, low-flow years, the amount of water in the hyporheic zone can be several times the amount of water in the stream (Bomblies, 1998; McKnight et al., 1999). The cross-sectional wetted area (i.e. the physical size of the combined near-stream and extended hyporheic zones) is measured directly by driving a thin, rigid steel rod into the observed wetted streambed alluvium at 1 m intervals across the stream until permafrost or an obstruction was reached, following the method of Conovitz (2000). This method is minimally invasive to the streambed and hyporheic zone, and it is accurate

Copyright  2003 John Wiley & Sons, Ltd. Hydrol. Process. 17, 1691–1710 (2003) 1694 M. N. GOOSEFF ET AL.

Commonwealth Glacier Lost Seal Many Stream Huey Creek Glaciers Taylor Pond Valley

McKnight Creek

Aiken Creek

FRYXELL Canada Stream LAKE GuerardVon Stream

Canada Glacier

Green Creek

Harnish Crescent Stream Stream

N

Delta 0 1000 2000 Stream

Scale in meters

Howard Crescent Glacier Glacier

Figure 1. Map of the Lake Fryxell basin, lower Taylor Valley, Antarctica. Dots represent locations of stream gauges. McMurdo Sound is approximately 8 km to the east of this map area within 1 m2. Cross-sectional areas have been measured as large as 12 m2 in Dry Valley streambeds. Porosity of the alluvium is of the order of 0Ð33 (Conovitz, 2000), corresponding to c.4m2 of porous space in the wetted streambed. Alternatively, stream-tracer techniques have identified cross-sectional hyporheic storage 2 areas (defined later as AS) generally less than 0Ð5m, with the exception of one reach in Huey Creek, which was 3Ð07 m2 (Table I) (Runkel et al., 1998).

METHODS Sample collection One synoptic survey on Delta Stream was carried over 7+ km of the stream, on 18 January 1994. Fourteen stream-water samples were collected in 30-mL polyethylene bottles as liquid water and taken back to camp

Copyright  2003 John Wiley & Sons, Ltd. Hydrol. Process. 17, 1691–1710 (2003) LONG TIME-SCALE HYPORHEIC FLOW PATHS 1695

(a) 180

160

140

) 120 -1

100

80

60 Discharge Rate (L s 40

20

0

05-Jan-94 12-Jan-94 19-Jan-94 26-Jan-94 02-Feb-94 09-Feb-94 (b) 120

100 )

-1 80

60

40 Discharge Rate (L s

20

0

08-Dec-9915-Dec-99 22-Dec-99 29-Dec-99 05-Jan-00 12-Jan-0019-Jan-0026-Jan-0002-Feb-00 Figure 2. Hydrographs from (A) Delta Stream for the 1993–1994 season, and (B) Green Creek for the 1999–2000 flow season. Arrows denote the dates of synoptic sampling campaigns to be frozen. All samples were then shipped back to Boulder, CO, for analysis of υDandυ18OattheStable Isotope Laboratory at the Institute of Arctic and Alpine Research (INSTAAR). A comprehensive sampling of Green Creek was conducted in the 1999–2000 flow season. Four synoptic sampling campaigns were completed on 7 December 1999, 21 December 1999, 7 January 2000 and 23 January 2000. Water samples for isotopic analysis of υDandυ18O were collected from three stream sites: 0 m, 59 m and the mouth of the stream, and 508 m, where 0 m corresponds to the injection point of a previous stream- tracer experiment. Three sample transects were established at 161 m (transect 1), 257 m (transect 2), and 357 m (transect 3) (Figure 4), each of which had four sampling points: (1) the stream, (2) an in-stream well

Copyright  2003 John Wiley & Sons, Ltd. Hydrol. Process. 17, 1691–1710 (2003) 1696 M. N. GOOSEFF ET AL.

(a) Frozen infiltration from previous season

active layer

permafrost

10 – 12 m

(b) Wetted zone

3 – 5 m

40 – 70 cm active layer

permafrost

Figure 3. Schematic lateral cross-sectional diagram of streambed alluvium (A) prior to austral summer stream flow and (B) when the streams are flowing. Figures not drawn to scale

Table I. Transient storage model parameter values found in previous stream tracer studies of conservative solutes in Dry Valley streams

Experimental Parameter reach 2 1 2 1 2 D (m s ) A (m ) ˛ (s ) AS (m )

Huey Creek, 1993a 0–213 m 0Ð50Ð11–0Ð18 1Ð07 ð 103 0Ð20 213–457 m 0Ð50Ð10–0Ð17 5Ð43 ð 104 0Ð25 457–762 m 0Ð50Ð10–0Ð18 1Ð62 ð 102 0Ð14 762–1052 m 0Ð50Ð19–0Ð01 4Ð67 ð 104 3Ð07 Green Creek, 1995 0–50 m 0Ð50Ð02–0Ð07 3Ð5 ð 105 0Ð05 50–226 m 0Ð50Ð02–0Ð07 1Ð9 ð 104 0Ð40 226–327 m 0Ð50Ð02–0Ð07 2Ð7 ð 104 0Ð39 327–497 m 0Ð50Ð02–0Ð07 1Ð1 ð 104 0Ð07

a From Runkel et al. (1998). in the thalwag of the stream, and (3 and 4) two lateral wells placed 2 m and 4 m away from the edge of the stream (Figure 5). The wells were constructed of 5Ð1-cm diameter PVC pipe, capped at one end and slotted with a saw. In-stream well slots spanned a distance of 5 cm and were screened with 1 mm mesh screen, and effective sample depth was approximately 15–20 cm. Lateral wells were slotted over their entire length, sampling a range of subsurface depths, but roughly 20 cm at most. Water was pumped from each well with

Copyright  2003 John Wiley & Sons, Ltd. Hydrol. Process. 17, 1691–1710 (2003) LONG TIME-SCALE HYPORHEIC FLOW PATHS 1697

N

Approximately 50 m

Transect 3 Y#

# Y#$T Flow Direction Transect 2 Transect 1 # Y#

Y# Algal Transect Stream Gauge

Sampling point or Y# transect

Figure 4. Map of sampling transect locations on Green Creek. Contour intervals represent 1 m of elevation change

Left Hand Bank

Instream Well Well A Well B

2 m

4 m

Figure 5. Well placement near Green Creek at three transects, each to a depth of roughly 20 cm below ground surface or streambed a Nalgene hand pump and poured into 30-mL polyethylene bottles. Wells were not purged beforehand owing to very slow refill rates and limitations of field logistics. Duplicate sample sets were made, when the sample volume was sufficient (>30 mL). The first set of samples were frozen the same day and remained frozen until being thawed just before isotopic analysis. The second set was filtered the same day and refrigerated for major ion analysis. The lateral wells at transect 2 yielded water only during the second and third synoptics. During the fourth synoptic, lateral wells at transects 1 and 2 were dry, and no sample was collected. On 11 January 2000, a batch evaporation pan experiment was conducted at the Lake Hoare field camp (on the west side of the Canada Glacier). At 0925 hours, 4Ð0 L of stream water was collected from nearby

Copyright  2003 John Wiley & Sons, Ltd. Hydrol. Process. 17, 1691–1710 (2003) 1698 M. N. GOOSEFF ET AL.

Table II. Well samples from four sequential purges of a lateral well on Green Creek on 10 January 2001

Time υD υ18O D excess

1245 244 29Ð8 5Ð8 1430 245 29Ð9 5Ð7 1530 245 30Ð0 5Ð4 1630 245 30Ð0 5Ð2

Andersen Stream, placed in a pan (water depth was c. 5 cm, surface area was c.0Ð09 m2) on top of an activated stirring plate to simulate stream-water movement. The water was sampled initially for baseline values and then repeatedly sampled on a 1-h interval until 1630 hours, when the experiment ended. Samples of approximately 75 mL of pan water were collected manually; 30 mL for isotope analysis, 45 mL for water quality analysis. Evaporation was calculated from evapoconcentration rate of Cl and SO4 samples from the evaporation pan. Wells were not purged during the 1999–2000 sampling. During the 2000–2001 flow season a lateral well was re-established on the left-hand bank of Green Creek. The well was sampled about a week after installation, purged four times, each purging was sampled for isotopic analysis (Table II). The mean air temperature was 4Ð4 °C, main relative humidity was 78%, and the mean wind speed was 3Ð51 m s1 for the date of additional well purging, as recorded at the Lake Fryxell meteorological station (http://huey.colorado.edu). The data presented in Table II suggest that the wells did not act as evaporative conduits, and that well samples are representative of subsurface water.

Sample analysis All water sample D and 18O analysis was carried out at the Stable Isotope Laboratory at INSTAAR. For 18 O, a CO2 –H2O equilibration method was used. Isotope ratios were determined on a Micromass (formerly VG) SIRA Series II mass spectrometer (the use of trade names is for identification purposes only and does not constitute endorsement by the U.S. Geological Survey). Results are reported relative to V-SMOW standard, to a precision of š0Ð10‰ (typically less). For D analyses, an automated flow-through uranium reduction furnace was used to analyse up to 56 samples in an automated run. Isotope ratios are determined on a dedicated Micromass (formerly VG) SIRA Series II mass spectrometer. Results are reported relative to V- SMOW standard, to a precision of š1Ð0‰ (typically š0Ð5‰). This analysis works best for relatively ‘clean’ water with low or normal conductivity (Vaughn et al., 1998). Water samples taken for major ion analysis were filtered immediately with 0Ð45 µm GFC filters. Solute concentrations were determined by ion chromatography at the Crary Laboratory, McMurdo, Antarctica (Welch et al., 1996). Reactive silicate was determined using a standard colorimetric method (Mullin and Riley, 1955) at the Byrd Polar Research Center, Columbus, OH. All ion analyses are accurate to within 5% of the concentration.

Transient storage modelling To characterize the exchange between the stream and an extensive hyporheic zone, we used a one- dimensional stream solute transport model, OTIS (Runkel, 1998), which was modified to account for evaporation fractionation   ∂υ Q ∂υ 1 ∂ ∂υ υ q in-stream R D R C AD R C ˛υ υ  EV EV 1 ∂t A ∂x A ∂x ∂x S R V

∂υS A in-storagezone D ˛ υR υS2 ∂t AS

Copyright  2003 John Wiley & Sons, Ltd. Hydrol. Process. 17, 1691–1710 (2003) LONG TIME-SCALE HYPORHEIC FLOW PATHS 1699

2 1 2 where D is the dispersion coefficient (m s ), A is the cross-sectional area of the stream (m ), AS is the cross-sectional area of the storage zone (m2), ˛ is the storage zone exchange coefficient between the stream 1 and the storage zone (s ), υR is the main channel isotope abundance (‰), υS is the storage zone isotope abundance (‰), x is the distance downstream (m), t is time (s), Q is stream flow rate (m3 s1), V is the 3 volume of stream water in a control volume (m ), qEV is the evaporation rate from a single control volume 3 1 (m s )andυEV is the isotopic abundance of evaporating water (‰). The isotopic abundance of evaporating water was characterized using the equilibrium model by Craig and Gordon (1965) Ł ˛ υR hυA ε υEV D 3 1 h ε103 where ˛* is the equilibrium fractionation factor, h is the relative humidity of the air above the stream, as a decimal of 1Ð0, ε is the kinetic fractionation factor, defined as [1000 (1 ˛*)], ε is the total fractionation 18 factor, assumed to be 4Ð64 for D and 5Ð27 for O, and υA is the isotope abundance of atmospheric moisture (‰). UCODE, a universal inverse model (Poeter and Hill, 1998), was used to regress optimal values of ˛ and υEV. UCODE incorporates analysis of model output sensitivities of all observations to parameter perturbation into a modified Gauss–Newton optimization approach. Equation (3) was then used to calculate values of υA, 18 from the regressed values of υEV.TheυA abundances should be more similar to precipitation υDandυ O abundances than υEV abundances. Our application of the TS model is slightly different than the typical application using stream-tracer experiment techniques, in which the TS model is used to fit stream solute breakthrough curves from a conservative tracer. The typical approach results in optimized values of D, A, ˛ and AS, to characterize advection and hyporheic exchange processes. In this study, parameter values for the above equations (except ˛ and υEV, which are regressed) are supplied by measurements and reasonable values from previous tracer experiments in Dry Valley streams (Table I). Additionally, the TS model was modified so that initial conditions could be defined for the stream and hyporheic zone. The period between 21 December 1999 and 07 January 2000 (384 h), was modelled as a transient simulation for the stream reach from 59 m to 508 m. Lateral well observations were averaged for each transect. A steady stream flow of 0Ð017 m3 s1, the average flow for this time period, was used for the modelling. Parameterization of the TS model was accomplished using representative hydrological parameters from previous tracer experiments on Green Creek, as well as field measurements from Green Creek. The dispersion coefficient (D) was fixed at 0Ð5m2 s1,andA was fixed at 0Ð06 m2 for all reaches, based on stream-flow measurement records. The evaporation rate derived from the pan evaporation experiment (see Results section) was applied to the entire stream reach, assuming a surface area of 5 m2 for each control volume. The initial conditions in the stream and in the extended hyporheic zone are defined by the data collected in the second synoptic (21 December 1999), spatially linearly interpolated between sample sites. The upstream boundary condition is also defined by the collected data. We used the upstream isotope abundances linearly interpolated through time between the dates of the two synoptic sampling campaigns. The isotopic abundance of the source of the water, glacier ice, changes, as does the transport time from the glacier to the headwater pond and the channel throughout the season. There is also no precipitation contribution to stream flow. Therefore, no part of the stream is acting as a constant end-member, as is ideally assumed in typical isotope hydrology studies. 2 2 2 2 Values of AS in these simulations were fixed at 2Ð98 m ,2Ð36 m ,3Ð95 m and 3Ð00 m from upstream to downstream, based on wetted zone measurements corrected for porosity (0Ð33), accounting for 10 cm of unsaturated sediment in the lateral wetted zone. These values represent large single storage zones in the TS model, in this case simulating a single extended hyporheic zone for each stream control volume and include the physical areas of both the near-stream and extended hyporheic zones. These values are larger than AS

Copyright  2003 John Wiley & Sons, Ltd. Hydrol. Process. 17, 1691–1710 (2003) 1700 M. N. GOOSEFF ET AL. values previously published for temperate streams, the largest of which was reported as 2Ð0m2 in reach 2 of Little Lost Man Creek, CA (Bencala, 1984; Runkel, 2002). Because the hyporheic zone is in general quite heterogeneous, a sample at any one point at any one time may be unique to that point and time. To overcome this limitation, we assumed that the average of the two lateral well-sample values at each transect, for each sampling date was representative of the extended hyporheic zone. If one were to assume that a hyporheic sample at any one point is representative of all water that is the same distance away from the stream (in a defined band surrounding the stream), any number of nested storage zones could be modelled, each likely to have a unique time-scale of exchange, and unique AS and ˛ values. The representation presented here intentionally forces long residence times to be produced because large storage zones are defined. Thus, our results are indicative only of the time-scale of exchange between the stream and the extended hyporheic zone.

RESULTS Evaporation pan experiment During the 1999–2000 flow season, a batch evaporation pan experiment was run to constrain the rate of evaporation and the effects of evaporation on isotopic enrichment. Figure 6A presents the change of water volume in the evaporation pan, including evaporation and sampling, and the evapoconcentration of conservative solutes Cl and SO4. The pan volume data assume a constant evaporation rate during the time of the experiment, found to be 7Ð14 ð 108 ms1 (6Ð17 mm day1), as determined from modelling evapoconcentration of Cl and SO4. From the data presented in Figure 6B, an evaporation enrichment rate can be calculated as 1‰ h1 for υDand0Ð2‰ h1 for υ18O. As expected, the D excess (Figure 6C), computed as [υD 8*υ18O], decreased with time, owing to the evaporation enrichment.

Green Creek synoptic sampling The solute data from the stream and lateral wells in Green Creek indicate generally higher concentrations of major ions in the wells compared with the stream (Figure 7) for two of the three transects. Transect 3 exhibits a different pattern because the alluvium at the base of the lateral wells was flooded at higher flows. For the other transect locations, the increased concentrations of all major ions in the extended hyporheic zone, compared with the stream, suggest that the water sampled from the lateral wells had been in storage a longer time than the time-scale of advective transport in the stream. Thus, the solute differences between the stream and hyporheic waters are evidence of increased residence time and biogeochemical differences between the stream and the extended hyporheic zone. This is further supported by the depleted isotopic abundances of the lateral well samples on 07 January 2000, compared with stream water at transect 3 (Figure 8). The data from the first Green Creek synoptic (Figure 8A) shows a strong downstream enrichment of 8‰ υDand1Ð3‰ υ18O. A comparison of enrichment rates (based on travel times for flow conditions at the time of sampling) reported in Table III indicates that stream enrichment is probably not the result of evaporation alone. Depleted stream water mixing with enriched waters in the hyporheic zone is probably the only other process that could contribute. Assuming the evaporation enrichment rates from the pan experiment apply, evaporation would account for only 1‰ υD enrichment and 0Ð2‰ υ18O enrichment. Further synoptic sampling after the wells were established showed smaller enrichments along the stream length (Figures 8B–D), about 2‰ υD and less than 0Ð5‰ υ18O on 21 December 1999, and about 3‰ υDand about 0Ð5‰ υ18O on 07 January 2000. Stream flow on 21 December 1999 was 42Ð6Ls1, corresponding to a travel time of roughly 33 min, and the flow rate on 07 January 2000 was 7Ð2Ls1 (Figure 2). The water sampled from the lateral wells was enriched by as much as 11‰ υDand2Ð2‰ υ18O compared with stream water for both 21 December 1999 and 07 January 2000. At the same time, water in the in-stream wells was also slightly enriched with respect to stream water. With the exception of 23 January 2000, the downstream enrichment appears to result from both evaporation fractionation and mixing with enriched hyporheic waters.

Copyright  2003 John Wiley & Sons, Ltd. Hydrol. Process. 17, 1691–1710 (2003) LONG TIME-SCALE HYPORHEIC FLOW PATHS 1701

(a) 5.5 4.0 ) -1 5.2 3.8 Cl Col5 vs Col6 4.9 SO Col5 4vs Col7 water Col2 vs Col3 in pan 3.6 4.6 Volume (L)

3.4 4.3 Solute Concentration (mg L

4.0 3.2

(b) -229 D -28.0 18O

-230

-28.5 -231 O (‰) D (‰) 18 d d

-232

-29.0 -2333

(c) 0

-1

-2

-3

D Excess (‰) -4

-5

-6 0123456 Hour of Evaporation Experiment

Figure 6. Evaporation pan experiment results: (A) volume and conservative solute data, (B) υDandυ18O data, and (C) D excess. Note, steep drops in pan water volume represent sample acquisition

The decreasing isotope abundances of lateral well waters in the downstream direction (Figure 8B and C) do not represent a significant trend. The lateral wells at transect 3 were flooded in high flow events, so the isotope abundances at that location more closely resemble stream-water isotope abundances. The lateral wells at transects 1 and 2 more likely represent hyporheic zone heterogeneity. The lateral well locations in transect 2 may be in better contact with the stream than the lateral well locations in transect 1. However, there is no physical evidence to suggest that connections between the stream and the extended hyporheic zones are enhanced at downstream locations, compared with upstream locations.

Copyright  2003 John Wiley & Sons, Ltd. Hydrol. Process. 17, 1691–1710 (2003) 1702 M. N. GOOSEFF ET AL.

45 8 Transect 1, 161 m 40 stream 35 lateral wells 6 30 25 4 20 15 2 10 5 0 0 45 8 Transect 2, 257 m 40 35 6 30 25 4 20 15 2 10 5

Solute Concentration (mg/L) 0 Solute Concentration (mg/L) 0

45 8 Transect 3, 357 m 40 35 6 30 25 4 20 15 2 10 5 0 0 SiKSO Mg 4 Cl Na Ca

Figure 7. Solute concentration averages from Green Creek stream and lateral well locations for all synoptics from five to six stream samples per transect, and three to five lateral well samples per transect. Error bars represent standard deviations

-243 (a) (b) (c) (d) -246 -249 -252

D (‰) stream δ -255 in-stream well lateral well A -258 lateral well B

-29

-30

-31 O (‰) stream 18

δ -32 in-stream well lateral well A -33 lateral well B 0 100 200 300 400 500 0 100 200 300 400 500 0 100 200 300 400 500 0 100 200 300 400 500 Distance Downstream (m)

Figure 8. Observed isotopic abundances of D and 18O from the four synoptic surveys on Green Creek, (A) 07 December 1999, (B) 21 December 1999, (C) 07 January 2000, and (D) 23 January 2000

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Table III. Fractionation rates for stream synoptic data and evaporation pan experiment

Travel Flow rate D fractionation 18O fractionation time (h) (L s1) rate (‰ h1) rate (‰ h1)

Evaporation 6Ð5a 0 C1 C0Ð2 pan experiment Delta Stream 24 3Ð0 C1 C0Ð1 18 January 1994 Green Creek 4Ð90Ð4 C2 C0Ð3 7 December 1999 Green Creek 0Ð542Ð6 C4 C0Ð7 21 December 1999 Green Creek 2Ð37Ð2 C1 C0Ð2 7 January 2000 Green Creek 5Ð30Ð4 C0b C0Ð0b 23 January 2000

a Evaporation pan experiment lasted for 6Ð5 h; and therefore, is not a true travel time. b Fractionation rates found to be less than analytical precision of isotope abundances.

Delta stream synoptic sampling The results of the Delta Stream synoptic study are presented in Figure 9. Over the more than 7 km of stream length from glacier to lake, there is a substantial overall enrichment of stream water, with respect to both D and 18O. The enrichment was not a smooth increase downstream. At roughly 1Ð5 km from the glacier, a strong increase in both υDandυ18O was observed, just downstream from a small pond. The pond increased the residence time of the water, allowing more time for evaporation fractionation before stream water continues down the channel. The variability in the reach from about 2 km to 5Ð5 km probably resulted from both evaporation (causing enrichment) and mixing with recently stored waters from the hyporheic zone, which may have been more depleted. The D-excess decreasing trend presented in Figure 9B suggests that some of this enrichment was the result of evaporation, particularly the large drop after the pond, around 1Ð5km.

Transient storage modelling results The TS model simulations for both D and 18O resulted in excellent fits with respect to the stream observations, but compromised fits to the hyporheic zone observations (Figure 10). This is a result of using the 18 same ˛ and υEV values for each reach in Equation (1). The modelling of D and O transport resulted in optimal ˛ values of 1Ð18 ð 105 s1 and 1Ð36 ð 105 s1, respectively. These values are independent measures of exchange, and generally are an order of magnitude lower than those reported in other Dry Valley hyporheic investigations (Table I). Optimized values of υEV were 271‰ for υD, with 95% confidence intervals of 38‰ and 504‰ and 43Ð0‰ for υ18O, with 95% confidence intervals of 4Ð9‰ and 81Ð2‰. These 18 υEV values correspond to reasonable υA values of 126‰ for υD, and 8Ð9‰ for υ O. The UCODE-produced composite scaled sensitivity values for ˛ were an order of magnitude greater in both simulations than for υEV, suggesting that the data set contained more information for parameterizing ˛. Additional model runs were made for D transport for two cases: (i) no evaporation, and therefore no evaporation fractionation, and (ii) no hyporheic exchange, therefore no lateral mixing (Figure 11). It is clear from the comparison of these alternative scenarios that the stream isotope abundances are greatly dependent upon the evaporation fractionation, as there is little difference between the optimized model fit (which is the same as that presented in Figure 10A) and the no exchange scenario. In comparison with the fractionation rates calculated in Table III, it appears that stream-water evaporation is responsible for more than 1‰ h1

Copyright  2003 John Wiley & Sons, Ltd. Hydrol. Process. 17, 1691–1710 (2003) 1704 M. N. GOOSEFF ET AL.

(a) -208 -24.0 D 18 -210 O -24.5

-212 -25.0

-214 -25.5 O (‰) D (‰) 18 δ δ -216 -26.0

-218 -26.5

-220 -27.0 (b) -4

-6

-8

-10

-12

D excess (‰) D excess -14

-16

-18 0 1000 2000 3000 4000 5000 6000 7000 Distance Downstream (m) Figure 9. Data from Delta Stream synoptic, 18 January 1994: (A) isotopic abundances and (B) D excess for D enrichment, as a simple interpretation of the evaporation pan experiment data would suggest. On the other hand, the extended hyporheic zone isotope abundances are greatly dependent on the exchange, as there is no change in the simulated extended hyporheic zone abundances for the no exchange case. The extended hyporheic zone is also sensitive to the evaporation fractionation, as the resulting extended hyporheic zone abundances are depleted, compared with the optimized results.

DISCUSSION Conceptual model We propose that the entire extensive wetted cross-sectional areas adjacent to Dry Valley streams are actively exchanging hyporheic zones, comprised of a near-stream hyporheic zone and an extended hyporheic zone, each exchanging over different time-scales. The near-stream hyporheic zone is well connected to the stream and exchanges relatively quickly with stream-water, on the scale of hours (Runkel et al., 1998). This near-stream zone experiences stream-water exchange on the time-scale of stream-water travel time from the glacier to the lake, which is quantifiable with stream-tracer injection techniques. The second storage zone, the extended hyporheic zone, represents the farther reaches of the wetted zone in which there is slow exchange with the stream. The connection between the stream and the extended hyporheic zone is characterized by longer flow paths and longer time-scales of exchange. In this study, near-stream and extended hyporheic zones have been lumped together as represented in the TS modelling, mainly because the data set did not include sufficient spatial resolution to test a multiple storage zone model in which these two zones could be distinguished. Other studies have considered multiple storage zones with respect to stream solute transport. Castro and Hornberger (1991) found evidence of multiple parallel flow paths, each with a unique time-scale of interaction

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(a) -243 initialCol 20stream vs Col observation 22 initialCol 20hyporheic vs Col 22observation finalCol stream 28 vs Colobservation 30 -246 finalCol hyporheic 28 vs Col observation 30 streamCol 28 model vs Col output 30 hyporheicCol 28 vs model Col 30 output

-249 D (‰)

δ -252

-255

-258

(b) -29 initialCol 20 stream vs Col observation 23 initialCol 28 hyporheic vs Col 23 observation finalCol stream28 vs Col observation 31 finalCol hyporheic28 vs Col observation31 streamCol 28 model vs Col output 31 -30 hyporheicCol 28 vs model Col 31 output

-31 O (‰) 18 δ

-32

-33 0 100 200 300 400 500 Distance Downstream (m)

Figure 10. Model input, goal and simulated abundances for (A) υDand(B)υ18O for a 384 h simulation. Storage zone start and end abundances are averages of observations from lateral wells A and B from each transect with the stream. In an exercise to test multiple competing storage zones, Choi et al. (2000) found that multiple competing storage zones were difficult to distinguish unless they were associated with markedly different solute fluxes. The model represented here considers a single storage zone and identifies only long-term exchange. Several more intermediate storage zones may exist, and a model that incorporates a variety of time-scales of exchange may be a more accurate representation of the real system. Such a model must be supported with appropriate data and the appropriate tracer. Stable isotopes proved to be an effective long-term tracer in this study. The heterogeneity of the hyporheic zone is one significant challenge to be considered in designing a study that would provide appropriate data to support a multiple nested storage zone model. An alternative conceptual model with several nested storage zones would suggest some interaction between the near-stream and extended hyporheic zones. This interaction probably would result in a non-linear

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-246 optimized no evaporation Hyporheic abundances no exchange

-249

-252 D (‰) δ

-255 Stream abundances

-258 0 100 200 300 400 500 Distance Downstream (m) Figure 11. Alternative model outputs for assuming no evaporation and no hyporheic exchange (˛ D 0) relationship between the stream and any of possibly several nested storage zones. The influence of the stream on a distant nested storage zone, with several intermediates in between, is complicated by the intermediate zones, whose interaction between each other would be difficult to detect.

Extended hyporheic zone interaction Evidence of interaction between the stream and the extended hyporheic zone is provided by a comparison of the synoptic isotope abundance ratios (Figure 8). From 21 December 1999 to 07 January 2000, there is a depletion of the υDandυ18O signals in the extended hyporheic zone. Evaporation of the extended hyporheic waters would leave the remaining water more enriched, rather than depleted. Therefore, there must be some influx of depleted stream water into the extended hyporheic zone, and assuming there is some limited mixing within the porous medium, the overall isotopic signal of extended hyporheic waters would be more depleted. We have modelled a steady flow condition, which was not observed (Figure 2) during the 1999–2000 flow season on Green Creek. Hyporheic exchange is known to be driven by hydraulic head gradients (Harvey and Bencala, 1993; Wondzell and Swanson, 1996), and it is likely that the high discharges in Green Creek (around 28 December 1999) forced greater and more extensive hyporheic exchange than lower discharges. Our data do not have adequate temporal resolution to resolve such an effect. The solute and isotope abundance data from the extended hyporheic zone suggest a long residence time compared with the time-scale of stream-water advection. Extended hyporheic zone water is characterized by higher dissolved solute concentrations (Figure 7) and much more enriched isotopic abundances (Figure 8). Longer flow paths that require longer residence times for stream water exchange provide enough time and substrate contact to allow dissolution of minerals and salts, and allow more time for evaporation to fractionate the water in the extended hyporheic zone. We expect that hyporheic water enriches as a result of evaporation in the summer and sublimation during the winter, as well as from the seasonal freeze–thaw cycles that control the state of water within the hyporheic zone. As expected, the large extended hyporheic zones that were defined in the TS modelling, exchanged with the stream at rates lower than those found in either of the two stream-tracer experiments, and at generally lower rates than any previously published in hyporheic research literature, with the exception of Uvas Creek, reach number 4 (Bencala, 1984).

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Re-assessed Uvas Creek model results using parameter estimation techniques found that an ˛ value of 2Ð5 ð 105 s1 for reach 4 resulted in a better simulation fit to the data (D. Scott, Landcare New Zealand, personal communication 2002). The results presented here yield values of the average time a molecule remains in extended hyporheic storage D AS/˛A) (Thackston and Schnelle, 1970) that range from 33Ð5days to 64Ð6 days, two orders of magnitude higher than 0Ð2 days, the greatest storage found in a stream-tracer experiment in Green Creek in 1995, and generally larger than those reported by Runkel (2002) in temperate streams. Exchange fluxes into and out of the extended hyporheic zone D ˛A (Harvey et al., 1996) range from 7Ð08 ð 107 to 8Ð16 ð 107 m2 s1, two orders of magnitude lower than those reported by Harvey et al. (1996) for St Kevin Gulch, and slightly higher than 7 ð 107 m2 s1, the lowest possible exchange flux computed for Green Creek (Table I). Additionally, the results show that the fractionation resulting from evaporation is 10 times greater (1Ð5 ð 103‰s1) than the enrichment influence from exchange (1Ð0 ð 104‰s1), by computing the respective dυR/dt components of Equation (1). This is in contrast to the results presented in Table III, which are based on stream transport times at the time of sampling, assuming a steady-state condition along the length of the stream. The stream fractionation rates in Table III represent a very short time-scale, probably not representative of the long-term influence of extended hyporheic zone interactions. Near-stream hyporheic exchange and variable climate conditions may be influencing the relative influence of mixing and evaporation on downstream isotopic enrichment on such short time-scales. Over the 17 day simulation, the stream-water fractionation dependence also is obvious from Figure 11, as simulations with no evaporation kept stream isotope abundances much more depleted than those observed on 7 January 2000. There appears to be little stream-water isotope abundance dependence on the extended hyporheic exchange as there is very little change in the results for the simulation without exchange. On the other hand, the extended hyporheic zone is obviously greatly dependent upon the exchange. For the simulation with no exchange, there is no change in the extended hyporheic zone isotope abundances; yet for the optimized and no evaporation simulations, the extended hyporheic zone isotope abundances react strongly, becoming more depleted, closer to the abundances of the stream water. Given that the TS simulations are more sensitive to evaporation than exchange, it is important to note that the evaporation rate found here, 6Ð2mmday1 by evapoconcentration calculations, is larger than evaporation rates found by Simpson and Herczeg (1991) of 4Ð3mmday1 in the River Murray, Australia, 2Ð7mmday1 reported by Gibson et al. (1998) for pan experiments in Yukon, Canada, and 5 mm day1 for a high Arctic lake (Woo, 1980). The pan evaporation rate found here also is lower than the potential evaporation rate of 7Ð0mmday1, calculated using the energy balance method (Chow et al., 1988) for the period of modelling (21 December 1999 to 07 January 2000), assuming 45 W m2 sensible heat flux and ground heat flux. Further, a slight change in the evaporation would not greatly change the resulting exchange parameter value in this study. The conclusion would be similar—there is long-timescale exchange in the extended hyporheic zones of these streams of the order of weeks or more. 18 Regressed values of υEV are generally similar to the values of υR for both D and O, consistent with our 18 estimates of stream evaporation. Values of υA for either D or O could not be found in the literature for this area. It is expected that υA values should be similar to precipitation isotope abundance values. The mean isotope abundances of eight fresh snow samples from the Canada Glacier are 220‰ for D, and 27Ð9‰ for 18 O. The υA values found here are not very close to these means. An alternative assumption is that atmospheric moisture is derived from the ocean, given the proximity to the ocean. Those abundances would be expected to be much more enriched, probably closer to 0‰ for both D and 18O. In addition, Equation (3) assumes that equilibrium conditions exist between the evaporating water and the atmosphere, which is not necessarily appropriate for this field setting. Given these limitations, the TS model results do not change with respect to exchange. For the large extended hyporheic zone, the time-scale of exchange is much longer than that characterized by solute tracer experiments. One of the limitations of our modelling approach is the lack of temporal parameter change with respect to changes in stream flow. A definitive quantification of changes in TS parameters, dependent on flow rate,

Copyright  2003 John Wiley & Sons, Ltd. Hydrol. Process. 17, 1691–1710 (2003) 1708 M. N. GOOSEFF ET AL. has not been found, although Harvey et al. (1996) note that low baseflow conditions generally allow for the best characterization of hyporheic exchange parameters because in-stream storage is restricted. Therefore, time-varying flow over the transient simulation is not supported. Consistent with that approach, evaporation was considered to be invariant with time, and the upstream boundary condition was linearly interpolated between the start and end time observations. These limitations do not appear to confound our results, as long time-scales of exchange and very low ˛ values were found.

Biogeochemical implications of extended hyporheic zone exchange Understanding hyporheic and wetted zone dynamics in Dry Valley streams is essential to understanding the biogeochemical reactions that define stream ecosystem function, and the extent to which these reactions may be taking place in transient storage zones. The extent to which the near-stream hyporheic zone is established allows for a better understanding of the time-scale of reactions that more immediately affect stream water quality, such as nitrification, denitrification, biotic assimilation (McKnight et al., 1999) and chemical weathering (Nezat et al., 2001; Gooseff et al., in press). Outer regions of the hyporheic zone presumably also host important biogeochemical reactions, such as chemical weathering, denitrification and DOC mineralization, which could come closer to a chemical equilibrium state than chemical reactions in the near-stream hyporheic zone, based on residence-time differences. The solute data show that the extended hyporheic zone water has higher concentrations of inorganic solutes than stream water (Figure 7). Evapoconcentration of extended hyporheic waters is also a likely cause of increased solute concentrations. Extended hyporheic zones may not have a great impact on stream chemistry as the hydrological fluxes are small, suggesting that the solute fluxes from the extended hyporheic zone also will be small. This work is also significant with respect to the spatial discretization of the hyporheic zone into rapidly exchanging near-stream zones that are in direct connection with the stream, and slower exchanging extended zones, which are not in direct contact with the stream. If cross-sectional areas of the hyporheic zone derived from typical stream-tracer experiment modelling are only a fraction of the total hyporheic zone (the measured wetted zone, in this case) then erroneous conclusions of faster chemical reaction rates might be taking place in deceptively small areas. Higher rates of biogeochemical processes would help explain the ability of this resilient aquatic ecosystem to proliferate despite low temperatures and short flow seasons.

CONCLUSIONS The results presented here show that there is υDandυ18O enrichment of stream water as it flows from glacier to lake in the Dry Valleys, Antarctica. Evaporation of stream water plays an important role in this fractionation but is not solely responsible for the enrichment. Mixing with heavier water stored in the extended hyporheic zone also contributes to the stream water isotopic signature, and the infiltration of lighter stream water is responsible for decreasing isotopic abundances in extended hyporheic waters over the flow season. In a novel approach, TS modelling was used to derive characteristic extended hyporheic zone time-scales of exchange, using physical measurements as parameter values. Computed hydrological hyporheic exchange fluxes were small, suggesting that accompanying solute fluxes from extended hyporheic zones also may be small, despite generally higher concentrations of solutes. The assumptions within our modelling approach allowed us to discern long time- scales of hyporheic exchange, which could not be detected with the conventional stream-tracer technique. This work focused on the hyporheic exchange processes in streams of the Dry Valleys, a cold desert environment. Dry Valley streams provide a unique opportunity to study the use of natural tracers in streams and extended hyporheic zones owing to the absence of terrestrial vegetation, precipitation and connection with a groundwater flow system. The tracing of stream-water flow paths both in and outside of the stream are important to many systems. A similar application might be made to relatively simple warm desert or alpine systems. Stable isotope tracing provides an alternative watershed tracing method to the introduction of chemical tracers in sensitive watersheds.

Copyright  2003 John Wiley & Sons, Ltd. Hydrol. Process. 17, 1691–1710 (2003) LONG TIME-SCALE HYPORHEIC FLOW PATHS 1709

ACKNOWLEDGEMENTS We are very grateful to Harry House, Ethan Chatfield, Jon Mason, Chris Jaros and Peter Conovitz for assistance in the field. Special thanks also goes to Kathy Welch for assistance with sample analysis. This work greatly benefited from discussions with Berry Lyons, Mark Williams, Jim White, Gayle Dana and Ken Bencala, colleague reviews by Roy Haggerty and Don Campbell, and three anonymous reviewers. This work was supported by NSF grants OPP-9211773 and OPP-9810219.

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