1 Supplementary Material 2 Allison et al., Seismic evidence for lithospheric modification beneath the Mojave Neovolcanic 3 Province, southern California, Submitted to Geophys. Res. Lett., Sep. 2013 4 5 Data 6 We retrieved waveform data from broadband seismic stations (Figure 1b; see also Table 7 S1) archived at the IRIS Data Management Center (DMC) and the Southern California 8 Earthquake Data Center using the Standing Order for Data [Owens et al., 2004] seismic data 9 request framework. We selected events from May 1991 to May 2012 with mb≥5.5 from the 10 National Earthquake Information Center’s Weekly Hypocenter Data File catalog for epicentral 11 distances between 30° and 95° from our study region (Figure S1; Table S1). We filtered the raw 12 waveforms with a 0.02 Hz high pass and a 10% taper. We then viewed each individual trace and 13 removed RFs in which the coherence phase was not the highest amplitude arrival, were 14 particularly monochromatic, contained a negative coherence phase, or a coherence phase with no 15 other spikes. This trace editing yielded 7,445 RFs suitable for further analysis (Table S1). 16 Table S1: Stations and events used for the receiver function (RF) portion of this study. Station (Network Code and Station Code) CI.ADO Range of Events Obtained (Year and Julian Day) Latitude Longitude (°N) (°E) Total RFs Used Events in Analyses Retrieved 2004 (003) - 2012 (140) 34.5505 -117.4339 2504 0 CI.BBR 2000 (175) - 2012 (121) 34.2623 -116.9208 3364 0 CI.BEL 2001 (115) - 2012 (121) 34.0006 -115.9982 3106 615 CI.BKR 1999 (202) - 2002 (032) 35.2693 -116.0703 550 22 CI.BLA 2000 (166) - 2009 (002) 34.0695 -116.389 2152 380 1 CI.BLA2 2009 (242) - 2012 (121) 34.0693 -116.3899 1116 95 CI.CCC 2001 (174) - 2012 (121) 35.5249 -117.3645 3174 78 CI.CLT 1999 (353) - 2012 (121) 34.0928 -117.3169 3504 0 CI.DAN 1998 (267) - 2011 (231) 34.6375 -115.3811 3396 68 CI.DSC 2002 (320) - 2009 (292) 35.1426 -116.104 1825 185 CI.FHO 2010 (093) - 2012 (121) 34.0936 -116.9359 864 0 CI.FUR 2002 (003) - 2012 (140) 36.467 -116.8632 2670 212 CI.GMR 2006 (123) - 2011 (059) 34.7846 -115.6599 1399 299 CI.GSC 1997 (216) - 2011 (231) 35.3018 -116.8057 3645 161 CI.HEC 2004 (032) - 2011 (231) 34.8294 -116.335 2411 117 CI.IRM 2002 (013) - 2012 (121) 34.1574 -115.1451 2883 432 CI.JVA 2001 (115) - 2012 (121) 34.3662 -116.6127 3184 432 CI.LDF 2000 (002) - 2011 (091) 35.1307 -115.1842 2999 137 CI.LUG 1999 (202) - 2012 (121) 34.3656 -117.3668 2632 0 CI.MCT 2001 (032) - 2012 (121) 34.2265 -116.0407 3181 443 CI.MPM 1998 (232) - 2012 (140) 36.058 -117.489 3374 424 CI.MSC 2009 (116) - 2012 (121) 34.0385 -116.6479 1195 0 CI.MTP 1999 (202) - 2011 (091) 35.4843 -115.5532 3069 240 CI.NBS 2002 (010) - 2012 (121) 34.7803 -116.558 2889 358 CI.NEE 1993 (107) - 2006 (204) 34.823 -114.596 1975 0 CI.NEE2 2006 (217) - 2011 (231) 34.7676 -114.6188 1456 124 CI.PDM 2001 (336) - 2012 (121) 34.3034 -114.1415 2682 514 CI.RRX 2001 (019) - 2012 (121) 34.8753 -116.9968 3178 0 2 CI.SBPX 2001 (003) - 2005 (228) 34.2324 -117.2348 208 0 CI.SHO 2004 (003) - 2011 (231) 35.8995 -116.2753 2358 64 CI.SLA 1999 (079) - 2012 (140) 35.8909 -117.2833 3562 277 CI.SNO 2008 (344) - 2012 (121) 34.0351 -116.8078 1290 0 CI.SVD 1991 (142) - 2012 (140) 34.1065 -117.0982 4036 329 CI.TUQ 2004 (001) - 2011 (059) 35.4358 -115.9239 2168 148 CI.VTV 1993 (107) - 2012 (140) 34.5606 -117.3296 4389 387 TA.U10A 2006 (169) - 2008 (286) 36.4193 -116.3297 657 0 TA.U11A 2006 (173) - 2008 (286) 36.423 -115.3835 652 0 TA.U12A 2006 (173) - 2008 (285) 36.4321 -114.5388 646 85 TA.U13A 2007 (048) - 2008 (313) 36.4151 -113.9653 506 0 TA.V11A 2006 (169) - 2008 (286) 35.8384 -115.4305 635 51 TA.V12A 2006 (173) - 2008 (286) 35.7266 -114.8511 643 135 TA.V13A 2007 (070) - 2008 (286) 35.8522 -113.984 475 104 TA.W12A 2006 (086) - 2008 (286) 35.301 -114.8701 711 51 TA.W13A 2006 (087) - 2010 (148) 35.099 -113.8854 1213 278 TA.X13A 2006 (074) - 2008 (286) 34.5935 -113.8302 705 200 17 18 We note that while we retrieved events for stations ADO, BBR, CLT, FHO, LUG, MSC, 19 NEE, RRX, SBPX, SNO, U10A, U11A, and U13A we did not use the data in our RF study, as 20 the seismograms were of significantly lower quality. Most of these stations with lower quality 21 seismograms are located near the San Andreas Fault where we were able to maintain very good 22 coverage despite their removal. Stations U10A, U11A, and U13A are located along the northern 3 23 boundary of our study area where coverage is more sparse, however their exclusion was 24 necessary to maintain the quality of our analysis. Figure S1 shows a map of events used in this 25 study. 26 27 Methods 28 Receiver Functions 29 We used the Ligorria and Ammon [1999] iterative deconvolution approach, which 30 minimizes the misfit between the observed horizontal (radial or transverse) seismogram 31 compared to the vertical seismogram convolved with the predicted receiver function. In this 32 method, we first rotated the horizontal seismograms to radial (R) and transverse (T). We then 33 used 34 (http://eqseis.geosc.psu.edu/~cammon/HTML/RftnDocs/rftn01.html 35 compute receiver functions. In this method, we first cross-correlate the vertical component with 36 the radial to estimate the lag and amplitude of the first and largest spike which of the RF. Next, 37 we convolve the RF, at first consisting of just one spike, with the vertical-component 38 seismogram, and subtract it from the radial component. We repeat the procedure for other spikes, 39 estimating both the lag and amplitude, to complete the final RF. In this way, we reduce the 40 difference between the RF+vertical and the radial seismogram until it is insignificant. We repeat 41 this same process for the transverse component RFs. We used a Gaussian parameter of 2.5 for 42 this study. the software package distributed by Chuck and links Ammon therein) to 43 To manage the thousands of seismograms computed for this study, we utilized the 44 FuncLab system [Eagar and Fouch, 2012]. FuncLab is a package of MATLAB scripts that is 45 capable of handling large datasets for commonly utilized RF analyses. FuncLab contains a set of 4 46 graphic user interfaces (GUIs) to guide both basic and advanced users through a range of RF 47 analyses. We use FuncLab version 1.5.3 in our study for both the H-κ and common conversion 48 point stacking methods outlined in the following two paragraphs. 49 To evaluate individual station characteristics, we used the H-κ stacking method to 50 estimate the depth to the Moho (H) and the ratio Vp/Vs (κ) beneath a seismic station [Zhu and 51 Kanamori, 2000]. This method assumes a simple configuration of an isotropic, flat-lying, 52 homogeneous layer over a half-space. In this computation, we used equations from Eagar et al. 53 [2011], modified for a spherical Earth from Zhu and Kanamori [2000], to calculate the travel 54 time between the direct P and the Ps, as well as crustal reverberations PpPs and PsPs+PpSs, for 55 each RF within an H-κ grid space. We use all three phases in the calculation to allow for a more 56 accurate determination of H and κ. As travel times are calculated for each grid value of H and κ, 57 the amplitudes of all RFs from a single station are summed using the stacking equation from 58 Eagar et al. [2011], using different weighting terms for each arrival. For the direct Ps, as well as 59 crustal reverberations PpPs and PsPs+PpSs, we used relative stacking weights of 0.5, 0.3, and 60 0.2, respectively, although we adjusted these values at stations with very few RFs. We use a grid 61 range of 20-40 km for H and 1.4-2.1 for κ, with step sizes of 0.5 km and 0.01, respectively, but 62 altered the range somewhat at a few stations where these values were broad enough for the 63 stacking method to select secondary peaks. The final H and κ values are selected where the 64 stacking equation is maximized. From κ, we can calculate Poisson’s ratio (σ), an elastic property 65 that measures the fractional deformation of a solid, which generally ranges from 0.25-0.35 in 66 crustal rocks, but increases rapidly beyond that with partial melt content. 67 To determine 3D impedance contrast structure, we computed Common Conversion Point 68 (CCP) stacks using all viable RF traces. We first divided the study volume into imaging points, 5 69 which later become the center points of stacking bins. We computed piercing points of the 70 converted Ps waves using the spherical travel time equation from Eagar et al. [2011]. In 71 FuncLab, we completed a three-step process to compute CCP stacks, beginning with 1D ray 72 tracing, followed by a time-to-depth migration (assignment of RF amplitudes at each depth to 73 CCP bins), and finally the stacking itself [Eagar and Fouch, 2012]. We divided our imaging 74 volume into 10 km wide bins laterally with a step of 5 km between bins, and 1 km bins in depth 75 to 60 km. We utilize the resulting 3D CCP imaging volume of relative impedance contrasts in 76 concert with H-κ results and ANT models to interpret detailed 3D structure of the MNVP and 77 surrounding region. 78 Ambient Noise Tomography 79 Ambient-noise tomography is based on the principle that the cross-correlation of 80 background seismic noise recorded at two seismometers approximates the Green’s function of 81 seismic waves traveling between the two recorders. While ambient noise has been used to 82 calculate P-wave velocities [e.g., Roux et al., 2005], it is generally used to measure Rayleigh 83 waves [e.g., Shapiro et al., 2005; Yang et al., 2007; Bensen et al., 2008]. Due to the geometry of 84 wave front spreading and their slower rate of attenuation, surface waves have larger amplitudes 85 than body waves, making them easier to identify and measure. Ambient-noise tomography is 86 advantageous over earthquake-generated surface wave tomography in that it does not require 87 earthquakes and measures shorter periods and is therefore sensitive to shallower structures. The 88 primary energy sources for ambient-noise tomography are ocean storms and atmospheric 89 disturbances, which typically have peaks in amplitude at periods of 15 and 7.5 seconds 90 [Friedrich et al., 1998; Bensen et al., 2007]. 6 91 We briefly outline the general process for calculating seismic velocities using ambient- 92 noise tomography in this paper. For a more detailed explanation of the data processing refer to 93 Bensen et al. [2007]. We first retrieved 1 Hz vertical component data were retrieved from 94 regional temporary and permanent stations archived at the IRIS (Incorporated Research 95 Institutions for Seismology) DMC (Data Management Center). Most stations are part of either 96 the USArray Transportable Array (TA) or Caltech regional networks. The instrument response 97 was removed from all seismograms and data were cut into 1-day increments. Seismograms from 98 each day were then bandpass filtered from 5 to 150 seconds and the data were normalized to 99 remove signals resulting from earthquakes or other discrete events. This was done using a 100 running-absolute-mean normalization method [Bensen et al., 2007]. Once normalized, a Fast 101 Fourier Transform (FFT) was used to convert the data into the frequency domain where the data 102 were whitened and cross-correlations were calculated every day for station pairs. These daily 103 station cross-correlations were transformed back in the time domain and stacked into month and 104 then yearlong increments. From these stacked cross-correlations, the signal-to-noise ratio (SNR) 105 was calculated and those inter-station measurements with a SNR less than 15 were discarded. 106 The resulting waveform for each station pair was roughly symmetric, centered on 0 seconds. The 107 positive and negative times represent the waves traveling in opposite directions along the great 108 circle path between the two stations. Dissymmetry in the waveform would result from an 109 irregular distribution of noise sources around the station. This effect is largely due to storms 110 concentrating in different hemispheres throughout the year. To increase the SNR, the time axis 111 for the negative component was multiplied by -1 and the resulting waveform stacked with the 112 positive time component, essentially folding it over the 0 second time axis and producing the 113 symmetric component. 7 114 To calculate Rayleigh wave phase velocities between stations, the stacked symmetrical 115 component of the cross-correlations were filtered over narrow bandwidths and the phase 116 velocities were measured at several periods. Measurements were made at 8, 10, 12, 14, 16, 20, 117 25, and 30 s periods. Waveforms measured at 6, 35 and 40-s periods generally had low signal-to- 118 noise ratios and were discarded. The method utilized for measuring ambient noise requires at 119 least 3 wavelengths between the stations to accurately calculate group velocity and we apply that 120 cutoff to phase velocity as well [Bensen et al., 2007]. Given the relatively small size of the array 121 compared to more common continent wide studies [e.g., Yang et al., 2007; Bensen et al., 2008] 122 there was not enough distance between many of the stations to make measurements at these 123 longer wavelengths. For these reasons, we only included ambient noise phase velocity 124 measurements made at periods between 8 and 30 s in the inversion for shear-wave velocities. 125 Using the method outlined in Barmin et al. [2001], we calculated phase velocity maps for 126 the study area at each period listed above. This is done by combining phase velocities along 127 inter-station paths to determine dispersion curves at defined grid points. In this step, we 128 experimented with grid spacing ranging from 0.5° to 0.1° and a variety of different damping 129 parameters. Given the dense station spacing, grid points located every 0.1° produced detailed 130 results that did not appear to introduce artificial error into the inversion. The damping is 131 dependent on the path density with the variable α controlling the strength of the spatial 132 smoothing, β controlling how data is merged into areas of poor data coverage and σ is the 133 smoothing length in km. We used values of α=300, β=100, and σ=100 in the penalty function to 134 best match earthquake-generated surface wave measurements. For a more detailed description of 135 the penalty functions refer to Barmin et al. [2001]. As a final quality control on the data, station 136 pairs with residuals greater than 2 seconds were removed and resolution maps were made. Phase 8 137 velocity measurements in areas with resolution lengths greater than 100 km were not included in 138 the final inversion for shear- wave velocity. Resolution can be interpreted as the minimum 139 distance at which two δ- shaped functions can be resolved [Barmin et al., 2001]. Figure S2 140 shows the resolution for this dataset. 141 142 Results 143 Table S2: Results for individual station receiver function analyses. The 13 stations with RFs 144 retrieved that did not meet our standards for use in the analysis have been excluded from this 145 table. Group numbers are described in the text. Some stations (8) did not possess simple enough 146 structure to utilize the H-κ method; in these cases, Moho depth was measured from moveout 147 curves. “--“ refers to no value for this analysis method. From H-κ Stack From Moveout Station Group Moho Depth (km) Vp/Vs Moho Depth (km) CI.BEL 1 28.5 1.71 -- CI.BKR 3 -- -- 25 CI.BLA 1 30 1.86 -- CI.BLA2 2 29 1.94 -- CI.CCC 3 29 1.81 -- CI.DAN 3 -- -- 26 CI.DSC 2 24 1.8 -- CI.FUR 2 -- -- 28.5 CI.GMR 1 25.5 1.74 -- CI.GSC 2 -- -- 27 9 CI.HEC 3 24 1.9 -- CI.IRM 1 29.5 1.6 -- CI.JVA 1 30 1.81 -- CI.LDF 2 -- -- 27 CI.MCT 1 29.5 1.68 -- CI.MPM 2 27 1.86 -- CI.MTP 1 23.5 1.9 -- CI.NBS 1 -- -- 27 CI.NEE2 1 26 1.72 -- CI.PDM 1 26.5 1.76 -- CI.SHO 2 30.5 1.72 -- CI.SLA 2 27 1.82 -- CI.SVD 1 30 1.92 -- CI.TUQ 2 -- -- 23 CI.VTV 1 28 1.77 -- TA.U12A 2 -- -- 26.5 TA.V11A 3 27 1.94 -- TA.V12A 1 29.5 1.76 -- TA.V13A 1 32 1.71 -- TA.W12A 3 26.5 1.98 -- TA.W13A 1 28 1.73 -- TA.X13A 1 28 1.68 -- 148 10 149 We present radial and transverse RFs binned by backazimuth for each station, sorted by 150 assigned group, in Figure S3. Group 1 stations show a strong Moho arrival that may diverge at 151 some backazimuths, a relatively weak first negative arrival, and diffuse but easy to identify 152 crustal reverberations, and produce a high percentage of high-quality RFs. Group 2 stations 153 usually display a double P-wave arrival, a strong first negative arrival, and a Moho signal that is 154 strong but widens at some backazimuths. The crustal reverberations are not as simple to 155 recognize because these stations show signs of possible basin structure, making these stations 156 only fair in terms of their data quality. Group 3 stations are located in obvious topographic basins, 157 yielding poor quality RFs that exhibit classic characteristics of basin structure exemplified by 158 strong alternating positive and negative arrivals throughout the first 15 seconds. 159 Figure S4 shows map view sections through the ambient noise tomography model, and 160 Figure S5 shows a number of vertical cross sections for both the common conversion point and 161 ambient noise tomography models centered on the Cima Volcanic Field. 162 163 Discussion 164 Table S3: Crustal model used for forward modeling RFs at station DSC. H- κ stacking analysis 165 of resulting RF indicates a 25 km thick crust with 1.825 Vp/Vs ratio, consistent with RF analysis 166 of station DSC (24 km thick crust with 1.8 Vp/Vs). Layer # Vp (km/s) Vs (km/s) Density (kg/m3) Thickness (km) 1 5.5000 3.0556 2.6900 6.0000 2 6.2000 3.4444 2.7100 9.0000 3 5.0000 2.6000 2.7100 5.0000 4 5.6000 3.1111 2.7700 2.0000 11 5 6.4000 3.5556 2.7700 1.0000 6 8.0000 4.6188 3.3300 0.0000 167 168 169 References 170 Barmin, M.P., M.H. Ritzwoller, and A.L. Levshin, (2001), A fast and reliable method for surface 171 wave tomography, Pure Appl. Geophys., 158, 1351-1375. 172 Bensen, G.D., M.H. Ritzwoller, M.P. Barmin, A.L. Levshin, F. Lin, M.P. Moschetti, N.M. 173 Shapiro, and Y. Yang, (2007), Processing seismic ambient noise data to obtain reliable 174 broad-band surface wave dispersion measurements, Geophys. J. Int., 169, 1239–1260, 175 doi:10.1111/j.1365-246X.2007.03374.x. 176 Bensen, G.D., M.H. Ritzwoller, and N.M. Shapiro, (2008), Broad-band ambient noise surface 177 wave tomography across the United States, 178 doi:10.1029/2007JB005248, 2008. 179 180 J. Geophys. Res., 113, B05306, Eagar, K.C., and M.J. Fouch, (2012), FuncLab: A MATLAB interactive toolbox for handling receiver function datasets, Seis. Res. Lett., 83(3), 596-603, doi: 10.1785/gssrl.83.3.596. 181 Eagar, K.C., M.J. Fouch, D.E. James, and R.W. Carlson, (2011), Crustal structure beneath the 182 High Lava Plains of eastern Oregon and surrounding regions from receiver function analysis, 183 J. Geophys. Res., 116, B02313, doi:10.1029/2010JB007795. 184 185 186 187 Friedrich, A., F. Kruger, and K. Klinge, (1998), Oceangenerated microseismic noise located with the Grafenberg array, J. Seismol., 2, 47-64. Ligorria, J.P., and C.J. Ammon, (1999), Iterative deconvolution and receiver function estimation, Bull. Seismol. Soc. Am., 89(5), 1395-1400. 12 188 189 190 Owens, T.J., H.P. Crotwell, C. Groves, and P. Oliver-Paul, (1984), SOD: Standing order for data, Seis. Res. Lett., 75(4), 515-520. Roux, P., K.G. Sabra, P. Gertsoft, W.A. Kuperman, and M.C. Fehler, (2005), P-waves from 191 cross-correlation of seismic 192 doi:10.1029/2005GL023803. noise, Geophys. Res. Lett., 32, L19303, 193 Shapiro, N.M. M.H. Ritzwoller, J.C. Mareschal, and C. Jaupart, (2005), Lithospheric structure of 194 the Canadian Shield inferred from inversion of surface-wave dispersion with thermodynamic 195 a priori constraints, Geol. Soc. Lond. Spec. Publ., Geological Prior Information: Informing 196 Science and Engineering, ed. R. Wood and A. Curtis, 239, 175-194, The Geological Society 197 of London. 198 199 200 201 Yang, Y., M.H. Ritzwoller, A.L. Levshin, and N.M. Shapiro, (2007), Ambient noise Rayleigh wave tomography across Europe, Geophys. J. Int., 168(1), 259. Zhu, L., and H. Kanamori, (2000), Moho depth variation in southern California from teleseismic receiver functions, J. Geophys. Res., 105(B2), 2969-2980. 202 203 Figure Captions 204 Figure S1. Global event map for receiver function component of this study. Pink circles are all 205 unique events retrieved for study; grey circles (overlain) are events included in analysis for at 206 least one station. Grey lines denote 30° and 95° epicentral distance range from Mojave 207 Neovolcanic Province. 208 13 209 Figure S2. a) Resolution map for ambient noise tomography at 20 seconds. Resolution is defined 210 as the minimum distance at which two d-shaped functions can be resolved. b) Inter station paths 211 used for ambient noise tomography phase velocity calculations at 20 seconds. 212 213 Figure S3. Stacked radial receiver functions from 0-30 seconds binned by backazimuth for each 214 station in RF study. Colors denote relative amplitudes; blue positive, red negative. Bars along top 215 indicate number of RFs included in each 10° bin. Description of group categories included in the 216 text. 217 218 Figure S4. Map (plan) views of ambient noise tomography model results for depth slices from 0 219 to 90 km. Depth increment shown in lower left corner of map. Colors represent % perturbation 220 from average layer model; contours annotate Vs in 0.1 km/s intervals. White triangles denote 221 volcanism with eruptive ages of 3 Ma and less from NAVDAT (http://www.navdat.org/; 222 downloaded 06/2012). 223 224 Figure S5. Cross sectional views of receiver function common conversion point (RF CCP) and 225 ambient noise tomography (ANT) results centered on the Cima Volcanic Field in 15° azimuthal 226 increments; vertical exaggeration on top topography panels only. AC - Amboy Crater; CVF - 227 Cima Volcanic Field; PC - Pisgah Crater. Locations of cross sections shown on map at top with 228 receiver function (RF) stations labeled. RF CCP stacking results shown in first 12 pages. Colors 229 denote relative amplitudes; blue positive, red negative. ANT models shown in second 12 pages. 230 Colors denote Vs in km/s. ANT results follow along same RF slices. Colors denote Vs in km/s. 14