Cited by 34Oceanographic and Atmospheric ProcessesOcean Waves and Remote SensingFluid Dynamics and Turbulent Flows

Deep Cycle Turbulence in Atlantic and Pacific Cold Tongues

Open access
Moum, James N., Hughes, Kenneth G., Shroyer, Emily L., Smyth, William D., Cherian, Deepak, Warner, Sally J., Bourlès, Bernard, Brandt, Peter +1 more·2022·Geophysical Research Letters

Published version of a preprint

Abstract

Multiyear turbulence measurements from oceanographic moorings in equatorial Atlantic and Pacific cold tongues reveal similarities in deep cycle turbulence (DCT) beneath the mixed layer (ML) and above the Equatorial Undercurrent (EUC) core. Diurnal composites of turbulence kinetic energy dissipation rate, ϵ, clearly show the diurnal cycles of turbulence beneath the ML in both cold tongues. Despite differences in surface forcing, EUC strength and core depth DCT occurs, and is consistent in amplitude and timing, at all three sites. Time-mean values of ϵ at 30 m depth are nearly identical at all three sites. Variations of averaged values of ϵ in the deep cycle layer below 30 m range to a factor of 10 between sites. A proposed scaling in depth that isolates the deep cycle layers and of ϵ by the product of wind stress and current shear collapses vertical profiles at all sites to within a factor of 2.

AI snapshot

Written from the paper’s full text.

TL;DR

Multiyear moored χpod measurements show deep cycle turbulence beneath the mixed layer in both the Atlantic and Pacific cold tongues, with clear diurnal cycling at all three sites. A depth scaling that isolates the deep cycle layer and ε scaled by wind stress times current shear collapse vertical profiles across sites to within a factor of 2.

Key findings

  • Deep cycle turbulence persists at 0°140°W, 0°23°W, and 0°10°W; diurnal composites show nighttime increases beneath the mixed layer. At 0°140°W, day-to-night increases in means and medians are about a factor of 10, and modes differ by more than a factor of 10.
  • Time-mean ε at 30 m depth is nearly identical at all three sites, while averaged ε in the deep cycle layer below 30 m varies by up to a factor of 10 between sites. The decrease from maximum ε to EUC core depth is a factor of 10 at 10°W (EUC core at 61 m), factor of 6 at 23°W (73 m), and factor of 4 at 140°W (103 m).
  • The frequency of Ri < 1/4 increases upward from the EUC core: 75% at 20 m at 140°W and 23°W, and 50% at 10°W; the 50% metric occurs at roughly half the distance from the EUC core depth to the sea surface.
  • Scaling ε by τ·Sh/ρ0 and depth by (z−MLD)/(zEUC−MLD) collapses profiles from the three sites to within a factor of 2; the long-term scaled value is about 0.2, close to the 1984 estimate, versus 0.86 for strong night-only DC in November 2008.

Methods

  • Moored χpod turbulence measurements at 0°140°W (TAO/TRITON, from September 2005; 15-year record) and at 0°23°W and 0°10°W (PIRATA, from 2014). Temperature profiles from main moorings and velocity from nearby subsurface ADCPs were used; χ, ε, and KT were computed from fast thermistor measurements with speed and stratification inputs.
  • Diurnal composites used 10-minute averaged ε binned at 10-minute intervals in local time over 24 hours centered at midnight. Data were flagged for small Tz (<0.001 K m−1). At 29 m, 0°140°W, the data consist of 242,879 independent 10-minute intervals representing 1,686 days.
  • Scaling analysis applied daily data first scaled in depth as (z−MLD)/(zEUC−MLD) and ε scaled by τ·Sh/ρ0, then bin-averaged in scaled depth; 95% confidence limits used non-parametric bootstrap statistics.

Limitations

  • The paper states that quantification of the full zonal and meridional extent of deep cycle turbulence via direct measurement remains an outstanding and important task; the Atlantic analysis is described as a first comprehensive look at the χpod records there.
  • The paper notes that at 10°W the depths where Ri < 1/4 occurs most frequently are likely shallower than 20 m and not sampled by PIRATA velocity sensors, so Ri is not computed there; flagging for small Tz also reduces data later in the night when the mixed layer infrequently descends to 29 m at the Pacific site and earlier to 21 m at the Atlantic sites.
  • Evident from the text: the analysis is limited to three equatorial sites, the uppermost χpods are significantly deeper than the 90th percentile of mixed layer depths, and local time is used instead of solar time (stated to differ by at most 17 minutes annually at the equator). The paper does not include a dedicated Limitations section.

Model-written summary. Check it against the paper before relying on it.

Integrity signals

Registry

Crossref · 10.1029/2021gl097345

Cites

30 of 30 references verified0 citation errors · 0 not checkable

Statistics

Nothing to recompute.

Claims the paper makes

3 of 21 cited sources checked · 1 supported · 0 flagged · accuracy not yet measured

  • Study design and conductcitation

    Confidence in these measurements is justified by previous comparisons between 16-day averages of ε from shipboard profiling (using shear probes) and multiple χpods on both the TAO mooring and an additional nearby mooring that showed agreement to within a factor of 2.

    “Confidence in these measurements is justified by previous comparisons between 16-day averages of ϵ from (i) shipboard profiling (using shear probes) and (ii) multiple χpods on both the TAO mooring and an additional nearby mooring that showed agreement to within a factor of 2 (Perlin & Moum, 2012).”
    Quote in the paperSubstantial claim1 of 1 sources checked
    • cites Perlin & Moum, 2012 source

      Split into 2 atoms — 0 confirmed, 2 partially supported, 0 disputed, 0 misattributed, 0 unverifiable. Expand the claim to see per-atom verdicts.

      Experimental — accuracy not yet measured
  • Interpretationreasoning

    The influence of TIW-induced mixing on long term means is less than expected from the measurements made in 2008.

    “This suggests that the influence of TIW-induced mixing on long term means is less than expected from the measurements made in 2008 (Moum et al., 2009;Inoue et al., 2012Inoue et al., , 2019)).”
    Quote in the paperSubstantial claim1 of 3 sources checked
    • cites Moum et al., 2009 source
    • cites Inoue et al., 2012 source
    • cites Inoue et al., 2019 source

      Section 6 (Summary; page unavailable) says the largest diffusivity and heat flux occurred during an anomalous fourth TIW, while Section 5.1 says the dependence of diffusivity and heat flux on TIW phase was less clear across the observed waves. These findings support caution about extrapolating from the intense 2008 event, but the paper does not assess TIW-induced mixing's influence on long-term means or compare it with expectations from those measurements. (LLM, conf=0.79)

      Experimental — accuracy not yet measured
  • Findingown data

    In each case, the 50% metric occurs at roughly 1/2 the distance from the EUC core depth to the sea surface.

    “In each case, the 50% metric occurs at roughly 1/2 the distance from the EUC core depth to the sea surface.”
    Quote in the paperNot a substantial claim
  • Findingown data

    Commonalities in the vertical structure and magnitude of the statistic %Ri < 1/4 are revealed by scaling the depth to isolate the DC layer such that the vertical coordinate is (z-MLD)/(zEUC-MLD).

    “Commonalities in the vertical structure and magnitude of the statistic %Ri < 1/4 are revealed by scaling the depth (where z = -depth) to isolate the DC layer such that the vertical coordinate is (z-M LD)/(z EU C -M LD), where M LD is the depth of the ML base and z EU C is the EUC core depth (Figure 3b).”
    Quote in the paperSubstantial claim
  • Findingcitation

    Commonalities in the vertical structure and magnitude of ε are seen via scaling of ε by τ•Sh/ρ0, where τ is the surface wind stress, Sh is the mean value of Sh over the DC layer and ρ0 a mean water density.

    “Commonalities in the vertical structure and magnitude of ϵ are seen via scaling of ϵ by τ •Sh/ρ 0 , where τ is the surface wind stress, Sh is the mean value of Sh over the DC layer and ρ 0 a mean water density (Smyth et al., 2017).”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites Smyth et al., 2017 source
  • May combine two claims. 15
  • The quote only partly states this claim. 2
  • Classified as probably not a substantial claim. 1
  • May combine two claims.

    Findingcitation

    The present test uses long-term averages and therefore includes many times when the DC turbulence is expected to be weak or absent, e.g., daytime and spring minima.

    “In contrast, the present test uses long-term averages and therefore includes many times when the DC turbulence is expected to be weak or absent, e.g., daytime and spring minima (Pham et al., 2017;Smyth et al., 2021).”
    Quote in the paperSubstantial claim1 of 2 sources checked
    • cites Pham et al., 2017 source
    • cites Smyth et al., 2021 source
  • May combine two claims.

    Findingown data

    The ranges of EUC core depths (based on hourly data) are deepest at 140°W and shallow from 23°W to 10°W.

    “The ranges of EUC core depths (based on hourly data) are deepest at 140 • W and shallow from 23 • W to 10 • W (Figure 2b).”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingown data

    Despite differences in surface forcing, EUC strength and core depth, DCT persists at all three sites and is consistent between the sites.

    “Despite differences in surface forcing, EUC strength and core depth, DCT persists at all three sites, and is consistent between the sites.”
    • Also stated in: § 5 Conclusions · hedged
      “The diurnal composite distributions of Figure 4 indicate that the temporal structure of DC turbulence is a persistent feature at all of the sites, and the scalings indicate a consistency between them.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data

    Upward from the core depths, the frequency of occurrence of Ri < Ri_cr increases, to 75% at 20 m at 140°W and 23°W, and 50% at 10°W.

    “Upward from the core depths, the frequency of occurrence of Ri < Ri cr increases, to 75% at 20 m at 140 • W and 23 • W, and 50% at 10 • W.”
    Quote in the paperSubstantial claim
  • The quote only partly states this claim.

    Findingown data

    Time-mean values of ε at 30 m depth are nearly identical at all three sites.

    “These comparisons also show the averaged magnitudes of ϵ near the base of the ML (nominally 30m) to be consistent within a factor of two at the three sites.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingown data

    In Figure 3a, these scalings neatly collapse the vertical profiles of ε from the three sites to within a factor of 2 at each scaled depth and close to the value of 0.2 found for the limited data set examined by Moum et al. (1989).

    “In Figure 3a, these scalings neatly collapse the vertical profiles of ϵ from the three sites to within a factor of 2 at each scaled depth and close to the value of 0.2 found for the limited data set examined by Moum et al. (1989).”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites Moum et al., 1989 source
  • May combine two claims.

    Findingown data

    With increasing depth, the transition to larger nighttime values is delayed in time and reduced in magnitude.

    “With 224 increasing depth, the transition to larger nighttime values is delayed in time and reduced 225 in magnitude,”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data

    At 30 m depth, the sharp day to night transition in mean values of ε at 23°W is similar to that at 140°W and less so at 10°W.

    “At 30 m depth (typically near 221 the uppermost extent of the DC), the sharp day to night transition in mean values of 222 ϵ at 23 • W is similar to that at 140 • W and less so at 10 • W.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingown data

    Long-term mean values of ε are close to those from short shipboard experiments executed in the absence of tropical instability waves (TIWs) in 1984 and 1991 and an order of magnitude smaller than the 2008 measurements made during the passage of a TIW.

    “A surprising result from these averaged profiles is that long term mean values of ϵ are close to those values from short shipboard experiments executed in the absence of tropical instability waves (TIWs) in 1984 and 1991 (Figure 2d) and an order of magnitude smaller than the 2008 measurements made during the passage of a TIW (shown in Figure 2d as the solid grey line).”
    Quote in the paperSubstantial claim
  • The quote only partly states this claim.

    Findingown data

    Nighttime values of ε are smaller at 10°W and 23°W than at 140°W.

    “Night-220 time values are smaller at 10 • W and 23 • W (Figure 5).”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingown data

    At all three sites, the turbulence extends below the ML base and cycles diurnally.

    “That is, at all three sites, the turbulence extends below the ML base and cycles diurnally (properties 1 and 2 listed in the Introduction).”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Premisecitation

    The arrival of the shear layer triggers shear instability and immediately precedes enhanced turbulence, suggesting causality.

    “The arrival of the shear layer was found to trigger shear instabil-69 ity and also to immediately precede enhanced turbulence, suggesting causality.”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites Smyth et al., 2013

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

  • May combine two claims.

    Premisecitation

    The model of pulsating DC turbulence derived by Smyth et al. (2017) pertains to night-time only and was tested using data between 20 m and 70 m depth in a regime of exceptionally strong DC, November 2008 at 140W; in that case the scaled value was 0.86.

    “Note that the model of pulsating DC turbulence derived by Smyth et al. (2017) pertains to night-time only and was tested using data between 20m and 70m depth in a regime of exceptionally strong DC, [November 2008 at 140W; see (Moum et al., 2009)].In that case the scaled value was 0.86.”
    Quote in the paperSubstantial claim0 of 2 sources checked
    • cites Smyth et al., 2017 source
    • cites Moum et al., 2009 source
  • Classified as probably not a substantial claim. May combine two claims.

    Premisenone given

    DC turbulence has two defining properties: it occurs below the ML base, and it cycles diurnally.

    “To summarize, DC turbulence has two defining properties: 71 (1) it occurs below the ML base, and”
    • Also stated in: § 72 · plain
      “72 (2) it cycles diurnally.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Premisecitation

    Data from χpods at 140°W has shown how the DC varies with the ENSO cycle and is a fundamental part of the underlying Bjerknes feedback that governs transitions between ENSO phase states.

    “Data from the χpods at 140 • W has shown how the DC varies with the El Nino-Southern Oscillation (ENSO) cycle and is a fundamental part of the underlying Bjerknes feedback (Warner & Moum, 2019) that governs transitions between ENSO phase states.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Warner & Moum, 2019 source
  • May combine two claims.

    Study design and conductcitation

    Moored turbulence measurements using χpods have time resolution sufficient to resolve the diurnal cycle and extend over many years at a few sites.

    “Moored turbulence measurements using χpods (Moum & Nash, 2009) have time resolution sufficient to resolve property (2) and now also extend over many years at a few sites.”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites Moum & Nash, 2009 source
  • May combine two claims.

    Interpretationreasoning

    DC turbulence is a persistent and consistent feature of the cold tongues in general.

    “This should provide some confidence that DC turbulence is a persistent and consistent feature of the cold tongues in general.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: The three measurement sites (0° 140°W, 0° 23°W, 0° 10°W) are representative of the equatorial Atlantic and Pacific cold tongues in general.
17 of 17
  • The paper relies on this without support.

    The three measurement sites (0° 140°W, 0° 23°W, 0° 10°W) are representative of the equatorial Atlantic and Pacific cold tongues in general.

    “This should provide some confidence that DC turbulence is a persistent and consistent feature of the cold tongues in general.”
  • The paper relies on this without support.

    Deep cycle turbulence dominates the downward mixing of heat in the equatorial cold tongues.

    “This mixing is dominated by deep cycle (DC) turbulence, a well-documented feature of the central equatorial Pacific cold tongue.”
2 of 2

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

Each contradiction between two passages listed here was confirmed by an independent check.

  • Dissipation profiles are assigned to the wrong Figure 3 panel

    Minor

    The text says Figure 3a shows the scaled dissipation profiles, but the caption identifies panel (a) as temperature and panel (c) as scaled dissipation.

1 of 1

Cites

Flagged first, then by citations

1 of the 31 references couldn’t be matched to a known paper.

Research works printed but not linked: 1

  1. Warner S. J., 2020, χpod and GusT processing manual

Cited by

Sorted by citations

Authors
Moum, J. N., Hughes, K. G., Shroyer, E. L., Smyth, W. D., Cherian, D., Warner, S. J., Bourlès, B., Brandt, P., & Dengler, M.
Affiliations
  • Oregon State University (US)
  • Office of Naval Research (US)
  • NSF National Center for Atmospheric Research (US)
  • Brandeis University (US)
  • Institut de Recherche pour le Développement (FR)
  • Christian-Albrechts-Universität zu Kiel (DE)
  • GEOMAR Helmholtz Centre for Ocean Research Kiel (DE)
Corresponding author
Moum, James N.
Venue
Geophysical Research Letters
Published
2022-04-18
Volume
49
Issue
8
ISSN
  • 0094-8276 (ISSN-L)
  • 1944-8007
OpenAlex
W4225984861
Cited by
34
References
31
Citations by year
2026: 2 · 2025: 10 · 2024: 13 · 2023: 7 · 2022: 2
FWCI
3.86
Type
journal article
Language
en
Open access
Locations
  • Geophysical Research Letters (publishedVersion, cc-by-nc-nd)
  • Helmholtz Centre for Ocean Research Kiel (GEOMAR) (acceptedVersion)
  • Institutional Archive of Ifremer (French Research Institute for Exploitation of the Sea) (submittedVersion, other-oa)
  • Zenodo (CERN European Organization for Nuclear Research) (submittedVersion, cc-by)
Funders
National Science Foundation (1256620, 1431518, 2048631, 1851520)
Topics
  • Physical Sciences › Earth and Planetary Sciences › Oceanography › Oceanographic and Atmospheric Processes
  • Physical Sciences › Earth and Planetary Sciences › Oceanography › Ocean Waves and Remote Sensing
  • Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
Keywords
Equatorial Undercurrent, cold tongue, equatorial Atlantic, equatorial Pacific, turbulence kinetic energy dissipation rate, diurnal cycle, mixed layer, wind stress, current shear, vertical profiles

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