Slip rates on the Fish Springs fault, Owens Valley, California, deduced from cosmogenic 10Be and 26Al and soil development on fan surfaces Paul H. Zehfuss* Department of Geology, Humboldt State University, Arcata, California 95521, USA Paul R. Bierman Department of Geology, University of Vermont, Burlington, Vermont 05405, USA Alan R. Gillespie Department of Geological Sciences, University of Washington, Seattle, Washington 98195, USA Raymond M. Burke Department of Geology, Humboldt State University, Arcata, California 95521, USA Marc W. Caffee Center for Accelerator Mass Spectrometry, Lawrence Livermore National Laboratory, Livermore, California 94550, USA ABSTRACT Long-term deformation along the Fish Springs fault in Owens Valley, California, is recorded by offset landforms, including a previously dated cinder cone (39Ar/40Ar, 314 6 36 ka, 2s), several debris-flow fans and levees deposited by Birch Creek, stream channels, and lava flows of nearby Crater Mountain. The 10Be and 26Al model exposure ages (n 5 68) delimit fan ages and suggest that deposition stopped after ca. 136, 15, 13, and 8 ka. One fan remains active and has undergone deposition throughout the Holocene. Soil development on three fans, where boulders were sampled for 10Be and 26Al analysis, also indicates distinct ages. Together, soil development and cosmogenic isotope data suggest that fan deposits correlate with the Tahoe and late Tioga glaciations. Soil profile development index values from Fish Springs are low compared with those determined elsewhere, *Present address: Department of Geological Sciences, University of Washington, Seattle, Washington 98195; e-mail: [email protected]. 1 GSA Data Repository item 2001xx, PD1 values for soil pits and cosmogenic ages for nearest sampled boulders, is available on the Web at http: //www.geosociety.org/pubs/ft2001.htm. Requests may also be sent to Documents Secretary, GSA, P.O. Box 9140, Boulder, CO 80301; e-mail: [email protected]. suggesting relatively slow rates of soil formation for fan surfaces at Fish Springs and/or modification of soil profiles by surface processes during or following soil formation. Age estimates and measured offsets of the fans are consistent with a long-term vertical slip rate of 0.24 6 0.04 m k.y.–1 for the Fish Springs fault over the past 300 k.y. Keywords: fans, faulting, isotopes, Owens Valley, soils. INTRODUCTION Debris-flow fan deposits in Owens Valley, along the eastern base of the Sierra Nevada, provide data that record displacement along the dominant structure, the Owens Valley fault zone. Fan deposition along the Sierra Nevada has been linked to periods of glaciation (Gillespie, 1982). Because fan deposition is episodic, it is possible to assign meaningful age ranges to fan surfaces, which at Fish Springs are dissected and offset by faults. The Fish Springs fault is 10 km south of Big Pine, California, between the Sierra Nevada and Inyo Ranges (Fig. 1). The fault displaces debris-flow fan surfaces deposited by Birch Creek, active and abandoned stream channels, a cinder cone, and lava flows of Crater Mountain (Figs. 2 and 3). The Fish Springs fault is a strand of the predominantly right- lateral Owens Valley fault zone, but is distinct from the main fault trace in two ways: (1) displacement at Fish Springs appears to be solely vertical (Martel et al., 1987, 1989), and (2) the fault strikes due north as opposed to N208W, the average strike of the 110-km-long Owens Valley fault zone (Beanland and Clark, 1994). The entire 110 km length of the Owens Valley fault zone last ruptured in the earthquake of March 26, 1872, which is thought to have measured near 8.0 on the Richter scale. The Fish Springs fault also probably ruptured during the earthquake of 1872, locally producing vertical displacements of ;1 m (Martel, 1984; Beanland and Clark, 1994). Martel et al. (1987, 1989) measured offsets and estimated displacement rates at Fish Springs. In their study, relative-weathering criteria were used to correlate fans of different ages with nearby glacial deposits exhibiting similar degrees of weathering. Existing data on the timing of Sierra Nevada glacial maxima were used to estimate the ages of displaced fan surfaces. One fan, offset 3.3 6 0.3 m, was correlated by Martel et al. (1987) to the Tioga glaciation (oxygen isotope stage 2). Another fan, offset 31 6 3 m, was correlated with the Tahoe glaciation (oxygen isotope stage 4 or 6). The cinder cone is displaced 76 6 8 m and has a 39Ar/40Ar age of 314 6 36 ka (2s; Martel et al., 1987). On the basis of these data, Martel et al. (1989) calculated the average late Qua- GSA Bulletin; February 2001; v. 113; no. 2; p. 000–000; 11 figures; 5 tables. For permission to copy, contact Copyright Clearance Center at www.copyright.com q 2001 Geological Society of America ZEHFUSS et al. Figure 1. Generalized map showing location of the Owens Valley fault zone. Location of study area is shown by box. Fault location is from Beanland and Clark (1994). ternary displacement rate for the Fish Springs fault as 0.24 6 0.04 m k.y.–1. Advancements in numerical and relative dating techniques have improved our ability to estimate the ages of geologic surfaces. The accumulation of cosmogenic isotopes results from the interaction of cosmic rays with materials at the Earth’s surface. Using assumed rates of isotope production, the exposure age of a surface can be estimated from the abundance of cosmogenic isotopes preserved in the surface material (Lal, 1988). In situ2produced cosmogenic isotopes have been used in Owens Valley to estimate directly the timing of debris-flow fan deposition near Lone Pine (Fig. 1; Bierman et al., 1995a). To define the ages of fan surfaces deposited at Fish Springs, we measured cosmogenic 10Be and 26Al produced in quartz extracted from 34 granitic boulder samples (Table 1).The 10Be and 26Al data enable estimation of faulting rates using direct age estimates of the offset fan surfaces. They also allow us to determine whether faulting rates have been constant or whether they have varied over the past 300 k.y. Soil development is useful as a mapping tool and provides rough estimates of surface age. Indices quantifying the degree of soil development (Harden, 1982; Harden and Taylor, 1983) provide a relative means of dating of geomorphic features, but detailed investigations of well-dated soil chronosequences have not been published for Owens Valley fans. We Figure 2. (A) Geologic map of Fish Springs fault, debris fan units, cinder cone, lava from Crater Mountain, and other landforms superimposed on aerial photograph (134-15 from BLM CA01-77, 9/30/77). Locations of soil pits are shown by rectangles. Contacts are dashed where uncertain. Bar and ball are on relative downthrown side. The location of scarp profile L on the west fan is shown in white. Remaining scarp profiles are shown in Figure 4A. (B) Cosmogenic sample sites. Letters correspond with samples listed in Table 1. used the profile development index (PDI) of Harden (1982) to quantify the degree of soil development in 11 soil pits (Table A1). Although soils do not provide direct estimates of fan surface age, they confirm the relative age differences defined by the fan units and compliment the cosmogenic age estimates by showing how processes at the surface may have influenced boulder exposure. METHODS Previous study at Fish Springs by Martel et al. (1987) and Martel (1984) provided a map of the fault and fan surfaces based on relative differences in surface weathering. Three fans, the west, north, and south, were mapped. Our work introduces additional fan units and detail to the map of Martel et al. (1987) (Fig. 2A). Mapping Fan units were differentiated by observing variations in relative boulder weathering, crosscutting relations, and clast lithology (Fig. 2A). Different degrees of weathering on fan boulders (such as flaking and rock varnish development) as well as differences in the de- Geological Society of America Bulletin, February 2001 SLIP RATES ON THE FISH SPRINGS FAULT, OWENS VALLEY, CALIFORNIA Figure 2. Continued gree of fan surface soil reddening helped us to distinguish fans of different relative ages. The lithology of boulder- and cobble-size debris was used to differentiate fan units; some fans (north fans B and C, Fig. 2A) contain distinctive volcanic and metamorphic lithologies among abundant granitic clasts. Analysis of aerial photographs augmented the field work. Cosmogenic Dating Sampling and Sample Preparation We sampled 34 granitic boulders from fans for analysis of in situ2produced 10Be and 26Al (Fig. 2B). We sampled one boulder twice (FSF-V; Table 1) to assess the reproducibility of our analyses. Boulder sample FSF-I had insufficient quartz for analysis. Samples were collected from the upper 124 cm of boulders using a hammer and chisel. Boulders for sampling were selected on the basis of shape and size; where possible, we sampled those with flat tops, diameters .1 m, and heights .1 m above the ground surface. Sites suggesting complex erosion and burial histories were avoided. Sample sites were marked on aerial photographs and 1:24 000 U.S. Geological Survey topographic maps. A Garmin 75 global positioning system (GPS) was used to locate sample sites to within ;20 m. Preparation for sample analysis involved isolating and purifying quartz through density separation and acid-etching of crushed samples (Kohl and Nishiizumi, 1991). Following dissolution of 30245 g of quartz in hydrofluoric acid (HF), multiple inductively coupled argon plasma spectrometer2optical emission (ICP-OE) analyses of the HF solution were used to determine the abundance of stable Al. A Be carrier (250 mg) was added prior to dissolution. Fe was removed using anion exchange. Ti was removed by pH-specific precipitation. Be and Al were separated using cation exchange, precipitated as hydroxides, and converted to oxides. BeO and AlO3 were mixed with Ag and packed in targets for analysis. Accelerator mass spectrometric (AMS) analysis of samples to determine isotope ratios was performed at Lawrence Livermore National Laboratory. Ratios were normalized to internal standards prepared by Nishiizumi. Extraction and target preparation were carried out at the University of Vermont. Data Reduction and Age Modeling Cosmogenic ages are estimated using interpretive models. Although the analysis of cosmogenic nuclide abundance in a particular sample may be both precise and accurate, translation of these data into reliable estimates of age depends on the accuracy of the production rate and the validity of age-model assumptions. While it appears increasingly likely that actual production rates are less than those proposed by Nishiizumi et al. (1989) (Clark et al., 1995; Larsen, 1996; Stone et al., 1998), we have chosen to calculate our ages with the rates of Nishiizumi et al. (1989) (Table 1), 6.03 (10Be) and 36.8 (26Al) atoms g–1 yr–1, because such calculations allow us to compare our ages directly with those calculated by others. We also calculate ages using the production rates of Larsen (1996) (Table 1), 5.17 (10Be) and 30.4 (26Al) atoms g–1 yr–1, following the recent acceptance of lower production rates. At this time, production rates are not known with certainty, nor do we know which of the different production rate estimates is correct. Additional uncertainties in site-specific nuclide production rates result from altitude and latitude corrections needed to normalize production rates and the production induced by muons (Brown et al., 1995), which we assumed to be zero. We scaled production rates for altitude and latitude using spallation-only normalization of Lal (1991). Inheritance, or prior exposure of a sampled surface to cosmic rays, leads to higher than expected abundances of cosmogenic nuclides. Boulders on fan surfaces at Fish Springs may have experienced inheritance as a result of prior exposure in moraines, higher portions of the fan surfaces, or on the mountain front. Our model for fan surface dating using cosmogenic nuclides assumes that at the time of deposition boulders on fan surfaces contained no 10 Be and 26Al. Erosion from boulder surfaces attenuates the concentration of cosmogenic isotopes, thus reducing the apparent age of the sample. Bierman et al. (1995b) calculated erosion rates ranging from 0.4 to 0.9 cm k.y.–1 for granitic rock in Alabama Hills ;60 km south of Fish Springs. The maximum erosion rate allowed by the concentrations of cosmogenic isotopes we measured in the oldest boulders (from west fan) at Fish Springs is 0.4 cm k.y.–1. Considering this rate as an upper limit, we propose that 0.2 6 0.1 cm k.y.–1 is a reasonable estimate of erosion rates on Fish Springs boulders. Table 1 provides erosion-corrected age estimates assuming an erosion rate of 0.2 6 0.1 cm k.y.–1. Erosion-corrected ages were cal- Geological Society of America Bulletin, February 2001 ZEHFUSS et al. Figure 3. (A) Fish Springs fault displacing the fans (w—west fan, n—north fan group, s—south fan) and cinder cone (cc). Photo is looking northwest toward Crater Mountain (in background). (B) Fish Springs fault displacing the cinder cone. Photo is looking south toward Poverty Hills (in background). Scarp on north fan B deposits (nB) and mouth of abandoned channel are seen in the foreground. Figure 4. (A) Map showing scarp profile locations (enlargement of Fig. 2A). Profile L, to the south, is shown in Figure 2A. (B) Scarp profiles A (north fan A), H (north fan C), and L (west fan). (C) Technique to calculate vertical separation (vs) and vertical displacement (vd) shown for all profiles in Table 2. Vertical displacements calculated assuming a fault dip of 598 (taken from Martel, 1984). Fan surface slope ranges from 28 to 48 among profiles. Geological Society of America Bulletin, February 2001 SLIP RATES ON THE FISH SPRINGS FAULT, OWENS VALLEY, CALIFORNIA Figure 5. (A) Sampled boulder FSF-Y, west fan (140 6 28 ka). Boulder is very weathered and fractured. (B) Sampled boulder FSFAG, south fan (3.8 6 0.7 ka). Boulder is fresh and is exposed well above the fan surface (.1 m). culated using the model of Nishiizumi et al. (1991), N 1 5 (1 2 e2( l1re L21 )t ) P (l 1 reL21 ) (1) where N 5 nuclide concentration, P 5 production rate, r 5 average rock density (2.7 g cm–3), L5 absorption mean free path (165 g cm–2), l 5 decay constant of the radionuclide (4.6 3 10–7[10Be] and 9.9 3 10–7[26Al]), and t 5 time. By assuming a constant rate of erosion (e 5 0.2 6 0.1 cm k.y.–1), the erosioncorrected age of a sample was estimated by solving for time (t). Maximum and minimum limits of erosion corrected ages were calculated using the quadratic sum of erosion-rate uncertainty and analytic error of individual samples. We assigned an error to our age estimates based on measurement uncertainties. Uncertainties in the scaling of exposure altitude and latitude, as well as magnetic-field variation over time, affect the calculated ages systematically. We assume that uncertainties in measured isotope abundance, prior exposure history, and boulder erosion affect model age calculations randomly. We estimate the exposure age of each sampled boulder by calculating weighted averages of individual 10Be and 26Al measurements (Table 1). Weighted averages were calculated using xwav 6 swav 5 Owx 6 1 Ow Ow ! i i (2) i i where xwav 5 weighted average of sample, wi 5 (1/si2), xi 5 individual Be and Al measurements, and si 5 measurement error (Taylor, 1982). Weighted averages of boulders from the same fans were averaged arithmetically (6 one standard deviation) to calculate fan age (Table 1). Soil Development We excavated 11 soil pits using a backhoe at sites on three (of five) different fan surfaces. Sites were located on the same surfaces sampled for cosmogenic dating in an attempt to reveal stratigraphic relations among different fan units based on soil properties. Detailed field descriptions of soil horizons and soil properties were made using standard nomenclature (Soil Survey Staff, 1975; Birkeland, 1984). Soil properties were described, sampled, and analyzed by Zehfuss to standardize the descriptions. Samples collected from each horizon were analyzed for particle size at Humboldt State University using settling tubes and sieves (Singer and Janitzky, 1986). We used the PDI (Harden, 1982; Harden and Taylor, 1983) to quantify soil development in each soil pit (Appendix 1). PDI values were calculated using the four soil properties shown by Harden and Taylor (1983) to be most strongly correlated with age: clay films, rubification, texture, and dry (or moist) consistence. Properties described from the lowermost C horizons in each pit were used to characterize the parent material. Depth normalization has a minimal effect on PDI values in our study because the Cox horizons were used as the parent materials, yielding index values of 0 for those horizons. A negative consequence of using the Cox horizon in lieu of a single parent material is that profile index values may be too low, because the assumed Cox values of 0 may not accurately depict the degree of development. One benefit of using the Cox horizon as the parent material is that we account for differences in sedimentological characteristics among deposits by relating soil properties directly to the material on which the soils are formed. Harden and Taylor (1983) demonstrated that the PDI is an effective tool for describing soil development with respect to age because rates of development for many soil properties are similar in different climate zones. We compared PDI values generated from this study with those from Harden and Taylor (1983) and Slate (1996) in order to contrast rates of soil development on fans at Fish Springs with rates observed elsewhere. Fault Scarp Profiles Scarp profiles (A though K) were made at 11 locations along the main trace of the Fish Springs fault using total station survey equipment (Fig. 4A). Profile L, shown in Figure 2A, and profile M (Fig. 4A) characterize the morphology of a smaller scarp located ;200 m west of the main trace. The slope of the original, unfaulted fan surface (a) was identified on both sides of the fault and was used to estimate vertical separation (Fig. 4, B and C). Martel (1984) estimated the dip of the Fish Springs fault as 598 to the east. Vertical displacements were calculated assuming that the Fish Springs fault has a dip of 598 (Fig. 4C; Table 2). Geological Society of America Bulletin, February 2001 ZEHFUSS et al. RESULTS AND INTERPRETATIONS Each fan at Fish Springs represents multiple episodes of debris-flow and stream deposition and consists of complex assemblages of levees, channels, and channel fills. The fan surfaces are composed of large granitic boulders (to ;4 m in diameter), gravel, and sand. Channel walls and road cuts provide crosssectional views of the fan sediments, exposing debris flows to a few meters thick that bury older deposits, some capped with well-developed soils. Four major faulted fan units, located both north and south of the cinder cone, were identified in this study. A fifth fan unit (the youngest, s in Fig. 2) emanates from modern Birch Creek, and does not appear to have been offset, or its surface has been modified since offset. Our fan map (Fig. 2) differs somewhat from that of Martel et al. (1987), primarily in the lateral extent and subdivision of the north fan. Where units are similar, their nomenclature has been maintained. Fan Units Patterns of deposition for the fans at Fish Springs have been influenced by the fault, cinder cone, and channels eroded into the fan surfaces. The oldest fan units make up a large proportion of the total fan surface area near the fault. Young fan units have filled channels incised into older fan surfaces on the upthrown block, and spread out over the surface of the downthrown block (Fig. 2A). The most recent deposition has been limited to a fan east of the fault and south of the cinder cone. Fan Units West of Scarp The west fan unit represents the oldest and most heavily weathered of the faulted fan units. Its discolored surface appears reddish on aerial photographs (Fig. 2A) and in the field. Variable degrees of weathering across the surface suggest a complex history of erosion and sedimentation. Large boulders are infrequent, and some are heavily weathered, having elephant-skin texture and heavy varnish coatings (Fig. 5A). Subparallel channels, oriented east-west, have eroded the surface of the west fan, forming swales in the topography, which in some places have been filled by subsequent debris flows. The most prominent channel at Fish Springs is the modern stream channel of Birch Creek. The stream has incised deeply the west fan, forming a broad, meandering channel that continues east of the fault scarp and south of the Fish Springs cinder cone. Incision of the west fan by Birch Creek and Figure 6. 26Al and 10Be model exposure ages for 34 samples. Ages were calculated using production rates of Nishiizumi et al. (1989) assuming zero erosion. Error bars reflect uncertainty in ages, propagating only counting statistics, blank, and carrier uncertainties. Fan units are identified by letters (Fig. 2B). Figure 7. PDI (soil profile development index) values and maximum clay percent in the B horizons of soils from the south fan, north fan A, and the west fan. PDI values generally increase with age. Age control from average 10Be and 26Al age estimates for the nearest boulders (Appendix 1) was calculated using production rates of Nishiizumi et al. (1989), assuming an erosion rate of 0.2 6 0.1 cm k.y.21. Geological Society of America Bulletin, February 2001 SLIP RATES ON THE FISH SPRINGS FAULT, OWENS VALLEY, CALIFORNIA TABLE 1. COSMOGENIC ISOTOPE DATA FOR FISH SPRINGS DEBRIS FAN BOULDERS Sample 26 Map Be Al elevation* measured measured 6 21 † 6 (m) (10 atom g ) (10 atom g21)† 10 West fan FSF-X 1280 1.55 6 0.04 9.28 6 0.50 FSF-Y 1285 1.74 6 0.05 9.19 6 0.42 FSF-Z 1290 1.26 6 0.03 8.09 6 0.38 FSF-AA 1290 1.63 6 0.06 10.11 6 0.49 FSF-AB 1315 1.53 6 0.06 8.77 6 0.40 FSF-AC 1307 1.75 6 0.05 11.87 6 0.54 FSF-AD 1303 1.58 6 0.04 10.37 6 0.48 FSF-AE 1300 1.53 6 0.04 9.48 6 0.43 Arithmetic mean of sample ages 6 1 standard deviation North fan A Group 1 FSF-A 1264 0.22 6 0.01 1.24 6 0.07 FSF-B 1265 0.18 6 0.01 1.04 6 0.05 FSF-C 1265 0.17 6 0.01 0.94 6 0.05 FSF-D 1256 0.19 6 0.01 1.15 6 0.06 FSF-E 1255 0.20 6 0.01 1.17 6 0.05 FSF-F 1256 0.18 6 0.01 1.20 6 0.06 FSF-U 1250 0.20 6 0.02 1.26 6 0.15 FSF-V1** 1261 0.19 6 0.01 1.24 6 0.06 FSF-V2** 1261 0.18 6 0.01 1.18 6 0.06 FSF-W 1261 0.17 6 0.01 1.19 6 0.07 Arithmetic mean of sample ages 6 1 standard deviation Group 2 FSF-M 1239 0.26 6 0.01 1.64 6 0.08 FSF-O 1239 0.27 6 0.01 1.74 6 0.08 Arithmetic mean of sample ages 6 1 standard deviation Group 3 FSF-N 1239 0.41 6 0.01 2.54 6 0.12 FSF-T 1256 0.42 6 0.02 2.62 6 0.14 Arithmetic mean of sample ages 6 1 standard deviation Al/10Be Production rates of Nishiizumi et al. (1989) 26 Be model age§ (k.y.) 10 Al model age§ (k.y.) Production rates of Larsen (1996) Be and 26Al Average age# (ky) 26 10 Zero erosion 0.2 6 0.1 cm k.y.21 erosion 10 Be and 26Al Average age# (ky) Zero erosion 0.2 6 0.1 cm k.y.21 erosion 5.98 5.30 6.40 6.22 5.73 6.79 6.56 6.19 6 6 6 6 6 6 6 6 0.36 0.29 0.35 0.37 0.33 0.36 0.35 0.33 105.6 118.1 84.0 111.4 103.2 118.1 109.3 103.6 106.7 6 6 6 6 6 6 6 6 6 2.9 3.6 2.3 3.9 3.8 3.3 2.9 2.8 10.9 106.5 105.1 90.4 117.2 99.3 136.7 121.7 108.2 110.6 6 6 6 6 6 6 6 6 6 5.7 .8 4.3 5.7 4.5 6.2 5.6 4.9 14.3 105.8 113.4 85.4 113.3 101.6 122.1 111.9 104.7 107.3 6 6 6 6 6 6 6 6 6 2.9 3.6 2.3 3.9 3.8 3.3 2.9 2.8 10.9 133.5 140.2 103.3 146.3 125.8 161.9 145.3 132.6 136.1 6 6 6 6 6 6 6 6 6 19.9 28.1 10.8 23.7 19.1 28.0 22.0 18.9 17.2 125.0 135.1 100.9 134.5 121.6 144.3 132.2 123.9 127.2 6 6 6 6 6 6 6 6 6 3.4 4.2 2.7 4.5 4.4 3.8 3.4 3.3 12.9 168.5 181.3 127.2 184.1 160.4 196.4 180.1 166.1 170.5 6 6 6 6 6 6 6 6 6 32.5 48.7 16.3 39.4 30.6 48.4 36.6 30.5 20.9 5.64 5.75 5.51 6.10 5.84 6.59 6.39 6.57 6.48 7.06 6 6 6 6 6 6 6 6 6 6 0.42 0.49 0.47 0.48 0.46 0.49 0.89 0.47 0.54 0.57 14.8 12.4 11.9 13.0 13.6 12.6 13.3 12.8 12.4 11.5 12.8 6 6 6 6 6 6 6 6 6 6 6 0.7 0.8 0.8 0.7 0.8 0.7 1.0 0.6 0.8 0.7 0.9 13.7 11.7 10.8 13.0 13.0 13.6 14.0 13.8 13.2 13.4 13.0 6 6 6 6 6 6 6 6 6 6 6 0.8 0.6 0.5 0.7 0.6 0.7 1.6 0.7 0.6 0.7 1.0 14.3 12.0 11.1 13.0 13.2 13.1 13.5 13.3 12.9 12.4 12.9 6 6 6 6 6 6 6 6 6 6 6 0.7 0.8 0.8 0.7 0.8 0.7 1.0 0.6 0.8 0.7 0.9 14.7 12.2 11.3 13.3 13.5 13.4 13.8 13.5 13.2 12.7 13.2 6 6 6 6 6 6 6 6 6 6 6 0.8 0.8 0.8 0.8 0.9 0.7 1.1 0.6 0.8 0.7 0.9 17.0 14.3 13.3 15.4 15.9 15.6 15.9 15.7 15.4 14.7 15.3 6 6 6 6 6 6 6 6 6 6 6 0.8 1.0 1.0 0.8 1.0 0.8 1.2 0.7 1.0 0.8 1.0 17.5 14.7 13.7 15.9 16.3 16.0 16.3 16.1 15.8 15.1 15.7 6 6 6 6 6 6 6 6 6 6 6 0.9 1.1 1.1 1.0 1.1 0.9 1.3 0.8 1.1 0.9 1.0 6.33 6 0.43 6.51 6 0.39 18.0 6 0.9 18.6 6 0.7 18.3 6 0.4 18.7 6 0.9 19.9 6 1.0 19.3 6 0.9 18.3 6 0.9 19.0 6 0.7 18.7 6 0.5 19.0 6 1.0 19.7 6 0.8 19.3 6 0.5 21.8 6 1.0 22.5 6 0.8 22.1 6 0.5 22.6 6 1.2 23.4 6 1.0 23.0 6 0.6 6.28 6 0.37 6.24 6 0.44 28.0 6 1.0 28.0 6 1.2 28.0 6 0.1 29.0 6 1.4 28.9 6 1.6 28.9 6 0.1 28.3 6 1.0 28.4 6 1.2 28.3 6 0.1 29.9 6 1.4 29.9 6 1.6 29.9 6 0.1 33.4 6 1.1 33.6 6 1.4 33.5 6 0.1 35.6 6 1.7 35.8 6 1.9 35.7 6 0.1 North fan C FSF-R†† 1255 0.33 6 0.02 2.00 6 0.10 FSF-S 1255 0.21 6 0.01 1.37 6 0.07 FSF-P1 1255 0.18 6 0.01 1.30 6 0.08 FSF-Q 1255 0.20 6 0.01 1.24 6 0.07 Arithmetic mean of sample ages 6 1 standard deviation 6.08 6.48 7.30 6.14 6 6 6 6 0.43 0.39 0.63 0.49 22.4 14.6 12.6 14.0 13.7 6 6 6 6 6 1.1 0.5 0.7 0.8 1.1 22.5 15.6 15.1 14.1 15.0 6 6 6 6 6 1.1 0.8 1.0 0.8 0.8 22.5 15.0 13.5 14.1 14.2 6 6 6 6 6 1.1 0.5 0.7 0.8 0.7 23.4 15.3 13.7 14.4 14.5 6 6 6 6 6 1.3 0.6 0.7 0.9 0.8 26.7 17.7 16.0 16.7 16.8 6 6 6 6 6 1.3 0.6 0.9 0.9 0.9 28.1 18.3 16.4 17.2 17.3 6 6 6 6 6 1.6 0.7 1.0 1.0 0.9 North fan B FSF-G 1256 0.15 6 0.01 0.89 6 0.04 FSF-H 1246 0.09 6 0.01 0.51 6 0.03 FSF-J 1249 0.11 6 0.01 0.77 6 0.05 FSF-L 1246 0.11 6 0.01 0.70 6 0.04 FSF-K†† 1249 0.35 6 0.01 2.10 6 0.11 Arithmetic mean of sample ages 6 1 standard deviation 5.95 5.97 6.81 6.08 5.97 6 6 6 6 6 0.42 0.63 0.78 0.55 0.36 10.3 5.8 7.8 7.8 24.3 7.9 6 6 6 6 6 6 0.5 0.5 0.7 0.5 0.8 1.8 10.1 5.7 8.7 7.8 23.9 8.1 6 6 6 6 6 6 0.5 0.3 0.6 0.4 1.2 1.8 10.2 5.8 8.3 7.8 24.2 8.0 6 6 6 6 6 6 0.5 0.5 0.7 0.5 0.8 1.8 10.4 5.8 8.4 7.9 25.3 8.1 6 6 6 6 6 6 0.5 0.5 0.7 0.5 1.1 1.9 12.1 6.9 9.9 9.3 28.5 9.6 6 6 6 6 6 6 .6 0.6 0.8 0.6 1.0 2.1 12.4 7.0 10.1 9.5 30.1 9.7 6 6 6 6 6 6 0.6 0.6 0.8 0.6 1.4 2.2 South fan FSF-AF FSF-AG FSF-AH 1260 1259 1260 0.10 6 0.01 0.05 6 0.01 0.02 6 0.01 0.65 6 0.04 6.60 6 0.60 0.29 6 0.02 5.98 6 1.16 0.13 6 0.02 6.58 6 3.13 6.6 6 0.5 3.2 6 0.6 1.4 6 0.6 7.2 6 0.4 3.1 6 0.2 1.5 6 0.3 6.9 6 0.5 3.2 6 0.6 1.5 6 0.6 7.1 6 0.5 3.2 6 0.6 1.5 6 0.6 8.3 6 0.5 3.8 6 0.7 1.8 6 0.7 8.3 6 0.5 3.8 6 0.7 1.8 6 0.7 *Map elevation used for production rate calculation. † Errors include isotope ratio, blank, and carrier uncertainties. § Errors on individual 10Be and 26Al estimates reflect only analytic uncertainty. #10 Be and 26Al average ages are weighted averages of 10Be and 26Al model ages for each sample. Average ages were calculated assuming zero erosion and 0.2 6 0.1 cm k.y.21 erosion from boulder surfaces. The erosion rate error of 0.1 cm k.y.21 is compounded with analytic error of individual samples. **Replicate samples from different location on top of one boulder. †† Model ages not included in calculation of average surface exposure ages. Geological Society of America Bulletin, February 2001 ZEHFUSS et al. migration of the creek channel north of the cinder cone provided a series of conduits for the deposition of a suite of north fans, termed collectively in this paper as the north fan group. West of the fault, the younger north fan deposits are easily distinguished from the west fan; the younger deposits are rough and bouldery in comparison. Exposed north fan boulders are less weathered and sit prominently on the surface (Fig. 5B). In some areas, deposits of the north fan group are a veneer on the thicker west fan, appearing in road cuts, channel walls, and trenches as 122-m-thick strata overlying older buried soils. In places, isolated boulders of the younger, north fan group overlie heavily weathered boulders of the west fan. Fan Units East of the Scarp Fan surfaces east of the scarp were created during periods of repeated fault displacements, permitting debris flows passing through the upthrown block to escape the confinement of channels and form coalescing fans on the downthrown block. Here, the distinction among members of the north fan group becomes clearer. In order of decreasing relative age, the fans east of the scarp are north fans C and A, north fan B, and south fan. Debris flows composing north fan C were channeled through basalt from Crater Mountain, resulting in a fan surface containing large, angular, locally derived basaltic boulders in addition to granitic boulders from the Sierra Nevada. Granitic boulders are as much as 2 m in diameter and are moderately weathered. North fan A is the largest fan in the north fan group. Its surface is characterized by moderately weathered boulders (diameter #4 m) that are flaking and have well-developed varnish. The degree of boulder weathering of north fan A is comparable to that of north fan C. North fan B represents the last member of the northern fan group to be built by Birch Creek before the active channel was diverted to the south, where it is today. An abandoned channel, incised into north fan A west of the scarp, provided a path for the water and debris that shaped north fan B. The topography is rough; the surface is littered with cobbles and boulders forming distinct levees on both sides of the channel east of the fault. Variability in weathering and cosmogenic ages (Table 1) of exposed boulders suggests that material from previous deposits may have been reworked and incorporated into this fan. Basalt clasts derived from Crater Mountain are found in the north fan B deposits, providing a lithologic distinction from north fan A, immediately to the north. TABLE 2. SCARP PROFILE DATA FOR THE FISH SPRINGS FAULT Profile A† B† C† D† E§ F G H I J# K L M Vertical separation (m) Vertical displacement (m)* 3.9 3.2 3.7 3.5 4.3 1.0 1.5 2.7 3.2 0.5? 18.6 2.5 1.6 4.0 3.3 3.8 3.6 4.5 1.0 1.5 2.8 3.3 0.5 19.3 2.6 1.7 Location North fan A North fan A North fan A North fan A North fan B, levee Channel of north fan North fan B, levee North fan C North fan C Channel of north fan Lava West fan, west of main West fan, west of main B C fault fault *Calculated as shown in Figure 4C assuming a fault dip of 598 (Martel,1984) † Surface gradient on upthrown side was used to reconstruct the prefaulting fan surface. Downthrown surface has steeper gradient probably due to draping of an existing scarp at the time of deposition (Fig. 9). § Levee appears to drape a preexisting scarp in addition to being faulted. Actual amount of displacement could not be determined. Vertical separation and vertical displacement are probably overestimates. # Scarp is not clearly defined. Small step in topography up channel may represent a nick point. The south fan is the youngest fan at Fish Springs. Its apex is where the fault intersects the modern channel of Birch Creek, which has incised the west fan. Like north fan B, the south fan is mapped only east of the fault, on the downthrown block. The surface is cobbly and contains large (diameter #4 m) fresh boulders deposited near the apex. Birch Creek continues to play an active role in the morphologic development of the fan. A trench dug in the middle to distal portions of the fan (trench 6; Fig. 2A) revealed a complex fluvial and mudflow stratigraphy, and at least one buried soil. Neither our mapping nor that of Martel (1984) has identified a continuation of the Fish Springs fault scarp in the south fan, indicating that the fan surface has not been offset significantly since the most recent deposition. Immediately south of the cinder cone is a flat surface intermediate in height between the west and south fan surfaces. The surface, termed the tread, is bounded on the west by the main Fish Springs fault and on the east by another east-dipping fault striking northeast. Debris shed from the western scarp has accumulated on the tread, forming small colluvial wedges at the break in slope. Cosmogenic Nuclide Model Ages Model 10Be and 26Al ages from boulders on different fans vary from a few thousand years to older than 100 ka (Table 1). These ages reflect accumulation of nuclides and are interpreted here as the minimum duration of exposure of boulders sampled at the fan surface, and represent the timing of debris-flow deposition (Table 3). The 10Be and 26Al model ages are well cor- related (Fig. 6), yielding an r2 value of 0.988. Regression analysis indicates 26Al/10Be for this data set is 6.12, consistent with prior estimates (Nishiizumi et al., 1989). Replicate samples from the top surface of boulder FSF-V have statistically inseparable 10Be concentrations (0.19 6 0.01 and 0.18 6 0.01 3 106 atoms g–1) and 26Al abundances (1.24 6 0.06 and 1.18 6 0.06 3 106 atoms g–1; Table 1). The reproducibility of these analyses and the strong correlation between ages calculated using both isotopes indicate that the variability in boulder ages on the same surface results from factors other than analytic uncertainties. For most surfaces, age variability between boulders exceeds analytic uncertainty, implying that differences between boulder ages result from geologic processes such as time- transgressive deposition, periods of boulder burial and exposure, inheritance, and/or erosion. Cosmogenic 10Be and 26Al age estimates in combination with geomorphic data from this study permit delineation of seven boulder populations (Table 1). Eight boulders sampled from the west fan have weighted average model ages (10Be and 26Al) from 103 to 162 ka, assuming an erosion rate of 0.2 6 0.1 cm k.y.–1. The mean model age and standard deviation are 136 6 17 ka. Cosmogenic age estimates for the west fan are significantly affected by the erosion correction (;30% older) while ages for the younger fans change little (,3% older) (Table 1). Ages from north fan A cluster into three distinct groups (Table 1). The 10 boulders of group 1 range in weighted average model age from 11.3 to 14.7 ka, assuming an erosion rate of 0.2 6 0.1 cm k.y.–1. The mean age and standard deviation are 13.2 6 0.9 ka (n 5 10). Geological Society of America Bulletin, February 2001 SLIP RATES ON THE FISH SPRINGS FAULT, OWENS VALLEY, CALIFORNIA We take this result to be the time of abandonment of the faulted portion of north fan A because it incorporates a large boulder population and because the sampled boulders in this group are near the fault scarp where the age of the faulted surface is probably best represented. Boulders from group 2 (FSF-M, FSFO) of north fan A have model ages and standard deviations of 19.0 6 1.0 ka and 19.7 6 0.8 ka. Boulders from group 3 (FSF-N, FSFT) of north fan A have model ages and standard deviations of 29.9 6 1.4 ka and 29.9 6 1.6 ka. These more heavily dosed boulders are located at the margins of north fan A, where contacts with other fans to the north and south form low points in the topography. Boulders in groups 2 and 3 probably represent outcrops of older debris flows that were buried by younger deposits containing boulders composing group 1. Age estimates from boulder groups 2 and 3 are not included in the calculation of displacement rates because we cannot confidently assign vertical displacements to these two fan surfaces. Exposure ages for three boulders on north fan C, assuming an erosion rate of 0.2 6 0.1 cm k.y.–1, range from 13.7 to 15.3 ka, with a mean and standard deviation of 14.5 6 0.8 ka (n 5 3). A fourth boulder, FSF-R, has an average model exposure age of 23.4 6 1.3 ka, much greater than the other boulders examined from this surface, possibly a result of inheritance. This boulder was not included in the calculation of average fan surface age. Age estimates for north fan C are not statistically distinct from north fan A. North fan B contains the youngest boulders of the north fan group. The fan is dissimilar to other deposits at Fish Springs; boulders on its surface are weathered to different degrees, and are generally smaller and better rounded than boulders from north fans A and C. Calculated model ages assuming an erosion rate of 0.2 6 0.1 cm k.y.–1 range from 5.8 to 10.4 ka, with a mean of 8.1 6 1.9 ka (n 5 4). The variability in boulder weathering and model boulder ages for this fan is likely a result of the reworking of older fan strata. Boulder FSF-K has an estimated age of 25.3 6 1.1 ka, and is significantly older than other boulders sampled from north fan B, probably a result of prior exposure. FSF-K was not included in the calculation of average fan exposure age. South fan boulders range in model age from 1.5 to 7.1 ka (n 5 3), assuming an erosion rate of 0.2 6 0.1 cm k.y.–1. Boulders sampled from this surface are fresh, very large, and tall (tops as much as 2 m above the fan surface). Boulder ages were not combined into an average for this surface because the ages prob- TABLE 3. SUMMARY OF AGE AND DISPLACEMENT DATA FOR GEOMORPHIC UNITS AT FISH SPRINGS Martel et al. (1987) Unit This study Unit (k.y.) Relative age (k.y.) Relative Age (k.y.)* Cinder cone West West North fan C North fan Tahoe Stage 4 or Stage 6 § 65–75 128–195§ Tioga 10.6–26† Tahoe Stage 6 135–210# Tioga 15–25# North fan A North fan North fan B North fan South fan South fan Holocene Tioga 10.6–26† Holocene Numerical age (m) Displacement 314 6 36† 76 6 8† 136 6 17 (171 6 21) 14.5 6 0.9 (17.3 6 0.9) 13.2 6 1.0 (15.7 6 1.0) 8.1 6 1.9 (9.7 6 2.2) 7.1, 3.2, 1.5 (8.3, 3.8, 1.8) 31 6 3† 3.1 6 0.4** 3.7 6 0.3** 1.3 6 0.3** unfaulted *Ages (except for cinder cone) are average model exposure ages and standard deviation calculated using production rates of Nishiizumi et al. (1989) and Larsen (1996) (in parentheses) assuming an erosion rate of 0.260.1 cm ky21. † Ar-Ar age and displacement of Martel et al. (1987). § Birkeland et al.,1971; Smith, 1979; Atwater et al., 1986; Mezger and Burbank, 1986 (cited in Martel et al.,1987). # Ages from Gillespie and Molnar (1995). Correlation of Tahoe with stage 6 after Burke and Birkeland (1979). **Average and standard deviation for displacement measurements in Table 2. Displacements in profiles J and E (Table 3) are excluded from average displacements of north fans C and B (respectively) calculated for this table. ably represent multiple periods of debris-flow deposition. Variability could also be the result of inheritance. Soil Development and Weathering Soil profiles reveal significant differences in the degree of weathering between the fans. Field observations and laboratory analysis of soil profiles from the west fan, north fan A, and the south fan indicate distinct ages for each deposit (Appendix 1). PDI values and maximum clay percents in the B horizon increase with increasing fan age, as estimated by relative weathering of fan surfaces, crosscutting relations, separation of tectonically offset surfaces, and cosmogenic exposure age estimates of the nearest sampled boulders (Appendix 1; Figs. 7 and 8). Soils developed on the west fan are easily distinguished from the younger north fan and south fan soils on the basis of subsurface boulder weathering, reddening, and the presence of a Bt horizon having elevated clay content (Appendix 1; Fig. 8). However, results from field, laboratory, and PDI calculations for the three sites on the west fan are variable (Appendix 1; Fig. 7). Clay films were identified in only two of three west fan pits, and a significant degree of reddening (to 7.5YR hue) was detected in just one of the profiles. Although each of the soils described on this surface contains a Bt horizon, laboratory analysis revealed maximum clay percents ranging from 17.5% to 32.7% (Appendix 1). PDI values also have a broad range (2.9218.4), primarily reflecting variation in clay films and rubification. Six soils studied on north fan A are moderately developed (Appendix 1). Typically, the profiles have Bw horizons (with the exception of a Bt horizon in soil 7) with a modest increase in clay percents relative to upper and lower horizons (Fig. 8). Unlike the west fan soils, clay films are absent from north fan A profiles, and boulder and cobble disintegration in the subsurface is minimal. The degree of reddening is noticeably less in soils of north fan A than in soils of the west fan. Probably the most conspicuous difference between soils formed on the two surfaces is the degree of variability in soil development (Fig. 7). Much variability is observed in the group of west fan sites, whereas north fan A soils are relatively similar. Soil PDI values for north fan A range from 2.2 to 3.7, and maximum clay percents range from 5.4% to 11.4% (Appendix 1). The consistency of soils data from north fan A is similar to the consistency of cosmogenic age estimates of group 1 on the same fan surface. Soil pit 9, dug into the surface of north fan A near the cinder cone (Fig. 2A), revealed a well-developed buried B horizon (Appendix 1). The degree of development as well as proximity to the west fan surface suggest that the west fan soil is shallowly buried by the younger north fan A deposit. Soil pit 6 dug into the surface of the south fan exposed two buried soils in stratified fluvial and debris-flow deposits (Fig. 8). The uppermost soil is developed in a layer of fluvial deposits and has a PDI value of 0 (Appendix 1). This layer was probably deposited recently by localized stream activity (Fig. 2A). The buried horizons are in debris-flow deposits Geological Society of America Bulletin, February 2001 ZEHFUSS et al. and have PDI values of 1.5 (b) and 4.0 (b2). We used the PDI of the uppermost buried horizon (1.5) to estimate soil development because our cosmogenic age control comes from large boulders that were probably deposited during debris-flow deposition rather than stream deposition. The PDI for the lowest buried horizon (4.0) is similar to values calculated for north fan A (2.223.8), and suggests that a fan surface similar in age to north fan A may be buried by younger south fan deposits. Vertical Displacements At its midpoint, near the cinder cone, the Fish Springs fault scarp attains its greatest displacement. The scarp gradually decreases in height on both sides of the cinder cone, eventually pinching out in the lavas of Crater Mountain 2 km to the north and in alluvium abutting Poverty Hills 2 km to the south. Our scarp profiles are located within 1 km of the cinder cone, where we assume that the displacement gradient is minimal. The vertical displacements of the cinder cone (76 6 8 m) and west fan (31 6 3 m) were determined by Martel et al. (1987, 1989). The current study presents vertical displacements of the three north fan units not differentiated in previous investigations (Table 2). In addition, we present vertical displacements of lava flows from Crater Mountain and along a fault in the west fan located west of the main trace (Fig. 2). The scarps we measured are discussed in the following in order of youngest to oldest. Profiles F and G (Table 2; Fig. 4A) from north fan B have displacements of 1.0 m and 1.5 m, respectively. The 1.0 m of vertical displacement from profile F surveyed in the offset abandoned channel is consistent with a measurement of 1.1 m made by Martel et al. (1987). The scarp in profile G is also about 1.0 m in height, and probably represents the amount of offset since the deposition of north fan B, probably that of one earthquake. Profile E, from a prominent levee in north fan B, shows a vertical displacement of 4.5 m (Table 2). In profile E, a preexisting scarp is draped by a levee that is faulted. We are unable to distinguish how much of the 4.5 m of scarp height is a result of fault slip postdating the deposition of north fan B. Consequently, profile E is not included the estimates of vertical displacement for north fan B. In several profiles from north fan A (profiles A2D), the slopes on either side of the fault are not consistent (Fig. 4B, profile A). The slope of the downthrown side (;98) for these profiles is steeper than that of the upthrown side (;38). We interpret the discrepancy in slopes to indicate that deposits constituting the surface in these profiles drape a preexisting fault scarp (Fig. 9). Alternatively, this morphology may have been produced when debris flows escaped the confinement of channels incised into the upthrown block, forming a steep fan apex as they spilled onto the downthrown block. In such cases, the slope of the upthrown side (28248) was used to extend a surface from the base of the portion of the scarp, which we interpreted to represent postdepositional displacement (Fig. 4, B and C). The vertical separation between this surface and that of the upthrown block was used to estimate vertical displacement. Profiles A through D from north fan A reveal vertical displacements ranging from 3.3 to 4.0 m (Table 2). Although it is possible that the technique used to account for apparent draping of the deposits over a preexisting scarp may have led to underestimates of displacement of as much as a few meters, an average displacement and standard deviation of 3.7 6 0.3 m for north fan A measurements is consistent with the measurements of 3.3 6 0.3 m of Martel et al. (1987) at the same location. Two scarps are apparent in the profiles from north fan C (Fig. 4B, profile H). The location of the Fish Springs fault is marked by a scarp displacing the levees of north fan C. A second scarp, 15 m to the west, elevates lava ;5 m above the fan deposits. Two profiles on the north fan C levees indicate vertical displacements of 2.8 m (Fig. 4B, profile H) and 3.3 m (profile I) (Table 2). A small step in topography (0.5 m) in the abandoned channel of north fan C (profile J; Table 2) may represent a nick point. To the north, the Fish Springs fault vertically displaces lava flows (Fig. 2) by 19.3 m (profile K, Fig. 4A; Table 2). Profiles L (Fig. 2A) and M (Fig. 4B) indicate vertical displacements of 2.6 and 1.7 m, and were measured across a fault located west of the main trace in the west fan (Table 2). The scarp is heavily degraded, indicating old age, or possibly draping by west fan deposits. The fault does not displace the younger deposits of north fans A or C, implying that it has not been active since their deposition. Slip Rates The average vertical slip rate along the Fish Springs fault over the past 314 k.y. is 0.24 6 0.04 m k.y.–1, assuming the production rates of Nishiizumi et al. (1989) and a boulder erosion rate of 0.2 6 0.1 cm k.y.–1 (Table 4; Fig. 10). Using the production rates of Larsen (1996) and the same erosion rate, the average vertical slip rate over the same interval is 0.23 10.04/–0.03 m k.y.–1 (Table 4). Considering only the fan data, and correcting for erosion, the average vertical slip rate over the past 1402170 k.y. is 0.23 6 0.03 m k.y.–1 (using production rates of Nishiizumi et al., 1989) or 0.18 10.04/–0.03 m k.y.–1 (using the production rates of Larsen, 1996) (Table 4; Fig. 10). For the interval between the formation of the cinder cone and west fan (3142140 ka), the average vertical slip rate is 0.25 10.14/–0.06 m k.y.–1 (using production rates of Nishiizumi et al., 1989) or 0.31 10.21/–0.08 m k.y.–1 (using the production rates of Larsen, 1996) (Table 4; Fig. 10). DISCUSSION: SOIL DEVELOPMENT AND COSMOGENIC DATA The accuracy of our slip-rate estimates depends on the accuracy of our estimates of fan surface age. Landform surfaces can be unstable and vulnerable to modification. Thus, we consider how techniques used to date surfaces have been influenced by surface-modifying processes. The first part of the discussion reviews how soil and cosmogenic data correlate with one another and with data from other studies. We consider how soil development and cosmogenic data sets together provide clues about the postdepositional history of Fish Springs fan surfaces. Correlation of Soil Development with Other Chronosequences We compare our PDI values, calibrated using cosmogenic ages, with those calculated for soils developed at five other sites investigated by Harden and Taylor (1983) and Slate (1996). The sites and climates studied by Harden and Taylor are: Merced, California (xeric-inland); Ventura, California (xeric-coastal); Las Cruces, New Mexico (aridic); and Susquehanna Valley, Pennsylvania (udic). Slate (1996) calculated PDI values for fan surfaces in Fish Lake Valley (aridic), about 60 km northeast of Fish Springs. We compare our values with the six-property index calculated by Slate (1996), including clay films, rubification, texture, dry consistence, color lightening, and secondary carbonate. The climate of Owens Valley is semiarid. PDI values from this study are lower than PDI values for similar age soils investigated by Harden and Taylor (1983) (Fig. 11). A primary reason for lower PDI values at Fish Springs may be differences in rates of soil for- Geological Society of America Bulletin, February 2001 SLIP RATES ON THE FISH SPRINGS FAULT, OWENS VALLEY, CALIFORNIA Figure 8. Pedologic distinctions between soil pits of different ages, including depth and types of soil horizons, and change in clay percents through the profiles. Lowercase b preceded by a number indicates sequential buried horizons. mation between sites. Climate and eolian dust influx change over time and space and significantly affect rates of soil development (Bockheim, 1980; McFadden and Weldon, 1987). With the exception of Las Cruces, Fish Springs is drier than the other sites studied by Harden and Taylor (1983), leading to slower rates of soil development. Modern dust-flux rates at Las Cruces (Gile et al., 1981) are much higher than rates measured within 10 km of Fish Springs by Reheis (1997), providing an explanation for the discrepancy in soil development rates between these two sites. Differences in geomorphic surfaces on which the soils are developed affect dust- trapping efficiency. Parent materials for soils from the four different climatic regimes studied by Harden and Taylor (1983) were unconsolidated alluvial fan and fluvial deposits. Debrisflow deposits at Fish Springs are generally well consolidated and poorly sorted. Lower infiltration rates of water and eolian silt in the debris-flow deposits at Fish Springs possibly led to slow soil-formation rates in comparison to more gravel-rich substrates elsewhere. PDI values from this study are also lower than those calculated by Slate (1996) for soils formed in a similar climate on similar parent materials (Fig. 9). The lower PDI values for Fish Springs suggests that factors aside from differences in climate and parent material are influencing rates of soil development at Fish Springs. The proximity of the soil pit locations to the fault scarp (Fig. 2A) could have made them more vulnerable to increased erosion than other portions of the fan surfaces. The subsequent removal of soil constituents would result in soils that appear younger than expected. Correlation of Soil Development and Cosmogenic Age Estimates Soil development among sample sites in the west fan is highly variable, while cosmogenic age estimates for boulder samples are much less variable. Soils appear underdeveloped for their estimated age when compared with other data sets (i.e., Harden and Taylor, 1983; Slate, 1996). Conversely, cosmogenic ages seem to correspond well with the anticipated Tahoe age for the west fan surface. Discrepancies between characteristics of soil PDI and cosmogenic data from the west fan may be explained by degradation of the original surface morphology and by the position of sample sites relative to geomorphic features such as the Fish Springs fault scarp and other landforms common to debris-flow surfaces in Owens Valley, such as levees, channels, and terraces. Degradation of these features over time by processes such as soil creep, bioturbation, slope wash, and rain splash (Whipple and Dunne, 1992) serves to redistribute material and weathering products and ultimately smooth the fan surface. Boulders sampled for cosmogenic analysis on the west fan may have been buried or ex- posed by the same processes of surface aggradation and degradation that affected the soils. The variability of cosmogenic data may be explained by differences in the position of sampled boulders relative to a degrading landform, such as the fault scarp. The lesser scatter in boulder ages than in soil development probably reflects the greater resistance of boulders to translocation and erosion. Further, we sampled large boulders in an effort to minimize the impact of local surface processes on exposure ages. DISCUSSION: SLIP RATES Integrated over 300 k.y., the average vertical slip rate for the Fish Springs fault is 0.24 6 0.04 m k.y.–1 (Table 4; Fig. 10). Slip rates calculated using fan ages estimated using the production rates of Larsen (1996) (Table 4; Fig. 10) are also consistent with a long-term, integrated slip rate of 0.24 6 0.04 m k.y.–1 (Table 4). A linear relationship between displacement and surface age is consistent with our data when they are interpreted using the rates of Nishiizumi et al. (1989), implying that if the production rates are correct, the rate of vertical displacement has been constant, or nearly so, since formation of the cinder cone at 314 ka (Fig. 10; Table 4). However, the estimated west fan age calculated using the production rates of Larsen (1996) and an erosion rate of 0.2 6 0.1 cm k.y.–1 affects the displacement- Geological Society of America Bulletin, February 2001 ZEHFUSS et al. Figure 9. Progression of events resulting in different surface slopes on either side of fault. Stage 1 shows a faulted surface. At stage 2, fan deposition buries the fault scarp. In stage 3, a displacement event breaks the young, wedge-shaped deposit. age relationship (Fig. 10) sufficiently to suggest that rates have varied over the past 314 k.y. (Table 4). Thus, slip rates calculated by this study are sensitive to age model assumptions including production rates, erosion, and the relevance of mean boulder ages to actual fan age, particularly when considering the age of the west fan. In addition, about 200 k.y. years elapsed between the formation of the cinder cone and west fan, during which slip rates may have varied significantly. The relation of slip rates calculated for the Fish Springs fault to those determined for the Owens Valley fault zone is difficult to assess. Beanland and Clark (1994) used vertical and right-lateral slip measured for the 1872 earthquake near Lone Pine (Lubetkin and Clark, 1987, 1988) and other sites to suggest that an average ratio of 6:1 described the relative components of horizontal:vertical motion along the fault zone during that event. They applied the 6:1 ratio to the vertical displacement determined by Martel et al. (1989) at Fish Springs to estimate horizontal slip for the fault zone there, cautioning a large degree of uncertainty. Martel et al. (1987) and Beanland and Clark (1994) found no horizontal slip on the Fish Springs fault. The main trace of the Owens Valley fault zone immediately east of the Fish Springs fault is assumed to accommodate all of the horizontal strain at that location along the fault zone (Beanland and Figure 10. Estimated vertical slip rates for the Fish Springs fault. Uncertainties in vertical displacement and cosmogenic age are shown. Ages calculated using production rates of Nishiizumi et al. (1989) assuming an erosion rate of 0.2 6 0.1 cm k.y.21 are shown as bold error bars, and the integrated slip rate determined using those ages is indicated as the slope of the solid line. Ages calculated using the production rates of Larsen (1996) and assuming an erosion rate of 0.2 6 0.1 cm k.y.21 are shown as thin error bars, and slip rates (from fan data, and cinder cone and west fan data) are indicated by the slope of the dashed lines. Also shown are mean ages for the west fan calculated using both sets of production rates assuming zero erosion. TABLE 4. DISPLACEMENT RATES FOR THE FISH SPRINGS FAULT Unit interval Production rates of Nishiizumi et al. (1989) Production rates of Larsen (1996) Time interval (k.y.) Displacement rate* (m k.y.–1) Time interval (k.y.) Displacement rate* (m k.y.–1) Integrated rate (all data)† 314 to 0 0.24 6 0.04 314 to 0 Integrated rate (fan data)§ 136 to 0 0.23 6 0.03 171 to 0 314 to 136 0.25 1 0.14 0.25–0.06 314 to 171 0.23 1 0.04 0.23–0.03 0.18 1 0.04 0.18–0.03 0.31 1 0.21 0.31–0.08 Cinder cone to west fan *Errors on displacement rates were calculated using a Monte Carlo simulation (1s). † Includes ages and displacements of cinder cone and fans. § Includes ages and displacements of all fans. Clark, 1994). Accepting this assumption, we calculate an average rate of 1.4 m k.y.–1 of horizontal slip rate for the Owens Valley fault zone in the Fish Springs vicinity based on our fan ages. This rate is similar to the rate of 1.5 m k.y.–1 calculated by Beanland and Clark (1994) and is also consistent with the 0.722.2 m k.y.–1 strike-slip rate reported by Lubetkin and Clark (1988) for the Owens Valley fault zone. CONCLUSIONS The 10Be and 26Al data from this study support the interpretation that significant sedimentation on Fish Springs fan surfaces occurred during Sierra Nevada glaciations. The ages of north fans A and C, 13 and 15 ka, appear to correlate with the Tioga glaciation, ca. 15225 ka (Gillespie and Molnar, 1995). The age of the west fan, estimated as Geological Society of America Bulletin, February 2001 SLIP RATES ON THE FISH SPRINGS FAULT, OWENS VALLEY, CALIFORNIA Figure 11. PDI (soil profile development index) values from this study (regression line 1) and Harden and Taylor (1983) and Slate (1996) (regression line 2) versus numeric age. Error bars are shown for ages and/or Log10(PDI) values from Slate (1996) and this study because we chose to present average and standard deviation of multiple measurements. PDI values from Fish Springs soils are lower than the others, probably reflecting differences in rates of soil development and/or soil erosion. 1032162 ka, may correspond with the older Tahoe (stage 6) glaciation, ca. 1352210 ka (Burke and Birkeland, 1979; Gillespie and Molnar, 1995). The degree of boulder weathering on the west fan surface is similar to that of nearby Tahoe glacial deposits. Ages from the south fan suggest that deposition on fans at Fish Springs is not strictly limited to glacial periods, although the volume of Holocene deposits is small. Large, fresh boulders on the surface suggest that large debris flows have funneled through the southern Birch Creek channel, forming the south fan during the Holocene. Modern stream activity and fluvial stratigraphy on the south fan demonstrate that isolated fan surfaces are now being eroded, at least locally. Similar activity has occurred on fans investigated near Lone Pine (Lubetkin and Clark, 1988; Bierman et al., 1995a). The 10Be and 26Al estimates of fan exposure ages at Fish Springs are similar to age estimates for other Owens Valley fans, suggesting that fan-building episodes may be linked in time. Bierman et al. (1995a) measured 10Be and 26Al in boulders on fans near Lone Pine, part of a glaciated drainage 60 km to the south. The surface exposure age of a Lone Pine fan (Qg1) similar in size and degree of weathering to the west fan is 98.2 6 30.1 ka (10Be) and 67.3 6 18.8 ka (26Al), using production rates of Nishiizumi et al. (1989) and assuming zero boulder erosion. The age of another Lone Pine fan interpreted by Lubetkin and Clark (1988) to be correlated with the Tioga glaciation is 11.6 6 3.7 ka (10Be) and 11.7 6 3.6 ka (26Al). This age is similar to ages of north fans A and C, 13 and 15 ka. The Lone Pine fan Qg3 of Bierman et al. (1995a) has an age of ca. 25 ka, similar to ages for the much smaller north fan A groups 2 and 3, 19 and 30 ka. Thus, at Fish Springs, a significant volume of older fan sediments may be concealed by the younger north fans B and C, and north fan A, group 1. The 10Be and 26Al model ages for Fish Springs fans provide direct numerical age estimates for a soil chronosequence that we used to calibrate PDI values. The wide scatter of PDI values, especially on the west fan, suggests that the relation of PDI values with age at Fish Springs is highly variable and that the PDI is not a reliable indicator of age here. The soils and cosmogenic data indicate that rates of soil development on Fish Springs fans are slow, as previously suggested for soils developed on the east side of the Sierra Nevada mountains (Birkeland, 1990; Berry, 1994). Comparison of Fish Springs soils with those developed on moraines of the Tahoe glaciation (Burke and Birkeland, 1979; Berry, 1994; La Farge, 1997) indicates that higher quantities of clay are present in B horizons on the west fan surfaces than on correlative moraines. Several possible explanations for this contrast are that (1) rates of eolian influx are greater on the fans because they are at lower elevations closer to the source of dust; (2) the particle-size distributions of the parent material are different, with a larger proportion of fine material in the debris-flow deposits compared to till; (3) erosion has stripped more soil away from the moraine surfaces than the fan surfaces; and (4) the moraines are younger than the fans. Our calculated displacement rate of 0.24 6 0.04 m k.y.–1 for the Fish Springs fault over the past 300 k.y. is identical to the previous estimate of Martel et al. (1989). We have made this estimate more robust by dating the surfaces of the fans directly rather than assigning ages on the basis of correlation of the fans with glacial periods. Long-term vertical displacement rates of 0.3 6 0.1 m k.y.–1 at Big Pine, and 0.4 6 0.1 m k.y.–1 near Lone Pine, were calculated by Martel et al. (1987) using the bedrock displacement along the Owens Valley fault zone as determined by Pakiser et al. (1964). These rates are only slightly higher than the rate calculated for the Fish Springs fault in this study. Although we acknowledge the large time gaps in our analysis of slip rates, we suggest that the constancy of faulting rates indicated by our data provides important information about the character of the Fish Springs fault, and perhaps the Owens Valley fault zone as a whole. Additional study to constrain faulting rates during the periods between the formation of the cinder cone, west fan, and north fan group might be insightful. Dating the offset lava flows of Crater Mountain would test our conclusions. APPENDIX Field descriptions and laboratory data for soil profiles are shown in Table A1. Geological Society of America Bulletin, February 2001 ZEHFUSS et al. TABLE A1. FIELD DESCRIPTIONS AND LABORATORY DATA FOR SOIL PROFILES Locality and Nearest Estimated age Horizon site number sampled (k.y.)† boulders West fan Soil 1 FSF-AE FSF-AD 13969 West Fan Soil 10 FSF-X 133620 West Fan Soil 11 FSF-AC 161.9628 North fan A Soil 2 nf A group 1 13.260.9 North fan A Soil 3 nfA group 1 13.260.9 North fan A Soil 4 FSF-W FSF-V1 FSF-V2 13.160.4 North Fan A Soil 5 FSF-C FSF-B 11.860.6 North Fan A nfA Soil 7 group 1 13.260.9 North Fan A nfA Soil 9 group 1 13.260.9 South Fan Soil 6 1.560.6 Tread Soil 8 FSF-AH# N.D. N.D. A Av Bt1 Bt2 Bt3 Cox A Bt1 Bt2 Bt3 Cox A Bt1 Bt2 Bt3 Bt4 Cox A1 A2 Bw1 Bw2 Cox A Av Bw1 Bw2 Cox A Av Bw Cox1 Cox2 A1 A2 Bw1 Bw2 Cox A1 A2 Bt Cox A Avj Bw1 Bw2 Btb A Bw 2Ab 2Coxb 2Bwb2 2Coxb2 A Bw1 Bw2 Cox Bw1b Bw2b Depth (cm) Munsell color (dry) 0–4 4–8 8–18 18–53 53–65 65–1291 0–5 5–32 32–49 49–71 71–138 0–7 7–24 24–43 43–58 58–91 91–174 0–4 4–13 13–31 31–58 58–1791 0–4 4–12 12–28 28–64 64–1651 0–4 4–14 14–43 43–58 58–126 0–7 7–14 14–35 35–96 95–1651 0–12 12–53 53–92 92–1421 0–4 4–20 20–38 38–83 83–1171 0–9 9–25 25–53 53–87 87–137 137–1501 0–15 15–47 47–87 87–153 153–183 183–210 10YR 6/3 10YR 6/3 7.5YR 4/4 10YR 5/4 10YR 5/6 2.5Y 5/4 10 YR 5/3 10 YR 6/4 10 YR 5/4 10 YR 6/4 2.5 Y 6/4 10 YR 6/3 10 YR 5/4 10 YR 4/4 10 YR 4/4 10 YR 5/4 2.5 Y 6/4 2.5Y 6/2 2.5Y 6/4 10YR 5/4 2.5Y5/4 10YR 5/6 10 YR 4/3 10 YR 4/3 10 YR 5/6 10 YR 5/6 2.5 Y 5/6 10 YR 5/3 10 YR 6/3 10 YR 6/3 2.5 Y 6/4 2.5 Y 6/2 2.5 Y 6/2 2.5 Y 6/2 10 YR 5/4 10 YR 5/3 2.5 Y 6/4 10 YR 5/3 10 YR 4/3 10 YR 6/4 2.5 Y 5/6 10 YR 5/3 10 YR 5/3 10 YR 6/4 10 YR 5/4 10 YR 5/6 10 YR 5/3 10 YR 5/4 10 YR 4/3 10 YR 5/4 10 YR 5/6 10 YR 6/3 10 YR 6/3 10 YR 5/4 10 YR 5/6 2.5 YR 5/4 10 YR 6/6 10 YR 5/6 Structure Gravel (%) sg 10–25 3 vc sbk ,10 sg; 2 m,c abk 25 2 c sbk 25 2 m,c abk 25 2 m abk 25–50 sg 10–25 2 c sbk ,10 2 vc sbk 10 2 c sbk;abk 10–25 2 c abk 50 sg 10–25 2 c sbk 10–25 2 c sbk 25–50 2 c abk;sbk 50 2 c abk;sbk 50 2 m,c abk 50 sg 10–25 2 c sbk ,10 2 m abk 50 2 m abk 50 2 m abk 50 sg 10–25 2 m,c sbk ,10 2 c sbk 10–25 2 m sbk 25–50 2 c abk 50 sg 10–25 1,2 m sbk ,10 2 c abk 25–50, 50 2 m abk 25–50 2 m,c abk 50 sg 25 1 c sbk 10 2- c sbk 25–50 2 m abk 50 2 m abk 50 sg 10–25 1 m sbk 10–25 2 f sbk 75 2 m abk 75 sg 10–25 2 vc sbk ,10 2 m abk 25–50 3 m,c abk 25–50 2 m,c pl;2 m abk 25 sg;1 m sbk 10–25 2 vc sbk ,10 1 vf sbk ,10 sg 50–75 1,2 m sbk 50 2 m abk 50 sg 10–25 2 c sbk 10 2 c sbk 10–25 2 c abk 25 2 c abk,2 c pr 10–25 3 m,c sbk 10–25 Consistency Wet Moist Dry so,po ss,ps s,p ss,pops ss,po so,po sopo ssps ssps sspsss-pssopo ssps ssps ssps ss-pssopo so,N.D.§ soss,po ss,pops ss,pops so,po sopo sops sopo ssps sops sopo ss-psssps ss-psssps sopo ss-pssspsssps ssps sopo ss-po ssps ssps sopo ssps ss-psssps ssps sopo sspo sopo sopo sopo sspssopo ss-po ssps ss-ps ssps ssps lo lo fi sh fi h fr eh fi vh fi h lo lo vfr so fr shfr sh fr h lo lo vfr so vfr sh vfr hvfr sh vfr h lo lo vfr so vfr so fr so vfr so N.D. lo N.D. sh N.D. sh N.D. sh N.D. sh N.D. lo N.D. sh N.D. sh N.D. h N.D. h N.D. lo N.D. so N.D. so N.D. sh N.D. h N.D. lo N.D. so N.D. vh N.D. h N.D. lo N.D. so N.D. sh N.D. vh N.D. h N.D. lo N.D. sh N.D. so N.D. lo N.D. so N.D. vh N.D. lo N.D. sh N.D. sh N.D. sh N.D. sh N.D. vh Texture Clay films ,2mm fraction (%) PDI LS SL SCL SCL SL LS LS SL SL SL SL LS SCL SCL SCL SL SL S LS SL SL LS S LS LS SL LS S LS SL SL SL S S LS LS LS S LS SL SL LS SL SL SL SL S LS LS S LS LS LS SL SL SL SL SL nil nil 2,d,pf 2,d,pf 2,d,pf nil nil nil nil nil nil nil nil 2,d,pf 2,d,pf 2,d,pf nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil nil Silt (50–2 m) Clay (,2 m) 18.52 25.80 12.05 15.46 15.84 10.62 12.18 17.10 15.49 16.43 17.27 11.85 13.94 14.55 14.84 14.88 16.84 8.39 9.42 12.62 12.57 14.45† 5.66 12.46 10.99 12.79 13.1 9.51 16.06 17.50 17.17 17.10 7.79 10.87 8.72 10.55 13.62 5.17 9.90 14.62 16.61 13.02 15.94 14.26 14.28 22.61 8.49 10.84 7.51 7.66 10.15 14.29 9.65 15.43 12.57 14.52 17.36 13.61 7.20 13.31 32.74 20.26 9.68 6.35 4.23 17.49 17.17 15.45 11.83 4.46 26.55 23.52 22.07 18.07 9.54 4.04 4.00 8.44 10.61 8.21† 3.32 5.04 5.40 9.99 8.57 3.40 6.94 10.19 9.32 6.40 1.80 1.64 4.82 8.64 6.84 4.24 6.08 10.22 8.68 5.02 7.39 11.40 11.42 18.93 3.00 5.72 4.98 4.13 5.80 7.25 4.13 11.30 8.92 9.37 11.01 11.62 18 2.9 12 3.3 3.7 3.1 2.2 3.4 3.8 0.0 1.5 4.0 ** *Abbreviations from Soil Survey Staff (1975). † Estimates ages are averages and standard deviations of ages from nearest sampled boulders calculated using the production rates of Nishiizumi et al. (1989) assuming an erosion rate of 0.260.1 cm k.y.–1. § N.D.—no data. # Youngest boulder was chosen because soil PDI reflects most recent debris flow deposition on south fan. **PDI not calculated for tread because weathering profile was formed by accumulation of sediment and weathering products acquired from above. ACKNOWLEDGMENTS Funding for the isotope analysis was from U.S. Geological Survey National Earthquake Hazard Reduction Program grant USGS 1434-HQ–97-GR– 03032 to P. Bierman and A. Gillespie. Soils work was funded by GSA and White Mountain Research Fund grants to P. Zehfuss. S. Thompson, C. Massey, G. Rhodes, J. Redwine, D. Sutherland, D. Babb, and J. Macey provided field assistance. E. Clapp, S. Neis, and J. Southon helped with cosmogenic analysis. This paper benefited from early reviews by S. Gran, K. Nichols, K. Jenning, D. Santos, and A. Noren. Additional reviews by M. Reheis, S. Reneau, and S. Pezzopane are greatly appreciated. We thank the residents of Fish Springs, J. 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