1 Intensified Diapycnal Mixing in the Midlatitude Western 2 Boundary Currents 3 Zhao Jing*& and Lixin Wu& 4 5 *Department of Oceanography, Texas A&M University, College Station, TX77840, USA 6 Email: jingzhao198763@tamu.edu 7 Phone :1-979-676-0762 8 &Physical Oceanography Laboratory, Ocean University of China, Qingdao, China 9 Email: lxwu@ouc.edu.cn 10 Phone: 86-532-82032852 11 12 13 14 15 16 17 18 19 20 21 22 1 23 24 Fig S1 The horizontal wavenumber spectra of geostrophic vorticity computed from the 25 sea level anomaly during the period June 2004-May 2006 (blue) and January 4-22, 2005 26 (red). The region used here is 142oE-149oE, 31oN-38oN. Note that most of the enstrophy 27 is contained in the horizontal wavenumber band (2 3) 10 5 rad m-1. 28 29 30 31 32 33 34 35 36 37 2 38 39 Fig S2 (a) Time series of wind work; (b) Mean near-inertial kinetic energy from June 40 to November 2004 (blue) and that during December 2004- January 2005. The shaded 41 regions are the 90%-confidence intervals computed from the bootstrap method. The 42 values are computed from the ADCP records. 43 44 45 46 47 48 49 50 51 52 53 54 3 55 56 Fig S3 The mean dissipation rate in December-March (red) and in April-November 57 (blue) at (a) Mooring 1, (b) Mooring 2, (c) Mooring 3, and (d) Mooring 7. Results at 58 Mooring 4, 5 and 6 are discarded due to the strong vertical excursion of the moorings. 59 60 61 62 63 64 65 66 67 68 69 70 71 72 4 73 Qi within 150-200 m under negative- and positive- g 74 Fig S4 PDFs of vertical mean 75 conditions. The PDFs are computed using the ADCP data at all the moorings over the 76 entire period (Jun 2004- May 2006). As 150-200 m is below the mixed layer, vertical 77 mean 78 downward near-inertial energy flux. It should be noted that the near-inertial wind work 79 plays a dominant role in the near-inertial energy budget. As the wind work is only 80 available at Mooring 7 during Jun 2004-Oct 2005, we are not able to isolate the effect 81 of relative vorticity from wind work at the other sites and the other periods. However, 82 we expect that the aliasing due to wind work should be significantly reduced by 83 averaging over all the sites and periods as the near-inertial wind work is generally 84 independent from the relative vorticity. Qi within 150-200 m can be treated as a rough measurement for the strength of 85 86 87 88 5 89 90 Fig S5 Vertical wavenumber spectra for (a) strain and (b) buoyancy-frequency- 91 normalized shear. The spectra are binned with respect to the GM-normalized strain and 92 shear variance with the legend representing the ratio of the number of profiles with 93 GM-normalized strain and shear variance within a certain range to the number of total 94 profiles. The grey dashed line represents GM model spectrum with the dotted line 95 representing the saturated model spectrum. The black solid line in (b) denotes the 96 spectrum for shear noise computed by quadratic fitting ( 0 k 2 ) the observed shear 97 spectra at high-wavenumber end. 98 99 100 101 102 103 104 105 6 2 106 Table S1 Correlation coefficient of dissipation rate to near-inertial shear variance S i , 107 super-inertial shear variance S s , and background stratification N 2 . 2 S i2 S s2 N2 300-600 m 0.51 0.10 0.13 450-750 m 0.48 0.09 -0.17 600-900 m 0.52 0.14 0.29 750-1050 m 0.59 0.17 0.18 900-1200 m 0.58 0.14 0.19 1050-1350 m 0.40 0.11 -0.09 108 7