Progress in Earth andPlanetary Science

Ye and Aiki ﻿Progress in Earth and Planetary Science(2024) 11:43
https://doi.org/10.1186/s40645-024-00640-z

Open Access

CORRECTION

Correction: Wind stress curl as a driving
force of annual waves in the upper ocean
for interpreting energetics at all latitudes
Kaiwen Ye1*   and Hidenori Aiki2,3Correction to: Progress in Earth and Planetary Science(2024) 11:29
https://​doi.​org/​10.​1186/​s40645-​024-​00630-1

In Eqs. 16a, 16b, 16c, 16d, the angle brackets whichindicates a vector in the horizontal direction were notadded, the correct Eq. 16a is:H1 ρ0 up, H1 ρ0 vp

After publication of the article [1], it was brought to ourattention that there are some equations and reference
need to be corrected:
In Eq. 9a, it should be "u^2 + v^2" under the root symbol, the correct Eq. 9a is:
2y2x
u2 + v2 τwind+ τwind

In Eq. 15, the integration symbol should be 3 times
taller, the correct Eq. 15 is: 022yxekm
ekm
τwind U+ τwind V= ρ0A Uzekm + Vzekm dz−∞

The original article can be found online at https://​doi.​org/​10.​1186/​s40645-​
024-​00630-1.
*Correspondence:
Kaiwen Yeyekaiwen1998academic@gmail.com
1
Graduate School of Environmental Studies, Nagoya University, Nagoya,Japan
2
Institute for Space–Earth Environmental Research, Nagoya University,Nagoya, Japan
3
Application Laboratory, Japan Agency for Marine–Earth Scienceand Technology, Yokohama, Japan

Equation 16b:
 2  2  pp
H1 ρ0 up +, H1 ρ0 vp −2f y2f x

Equation 16c: pϕ   pϕ  , H1 ρ0 vp −H1 ρ0 up +2 y2 xEquation 16d:
 pϕ   pϕ  yx− ϕτwind , H1 ρ0 vp −+ ϕτwind
H1 ρ0 up +2 y2 xIn the first reference, the name ‘Swadhin KB, Toshio Y’should be replaced by ‘Behera SK, Yamagata T’, the correct reference is:
Aiki H, Zhai X, Greatbatch RJ (2016) Energetics of theglobal ocean: the role of mesoscale eddies. In: Behera
SK, Yamagata T (eds) Indo-Pacific climate variability
and predictability. World scientific series on Asia–Pacificweather and climate, vol 7. World Scientific, Singapore,pp. 109–134. https://​doi.​org/​10.​1142/​97898.​14696.​623_​0004.

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Ye and Aiki P﻿ rogress in Earth and Planetary Science(2024) 11:43

Besides, some minor grammar related errors are alsocorrected. The height of equation 6b and equation 6c areadjusted.
The original paper has been updated.

Reference
Ye K, Aiki H (2024) Progress Earth Planet Sci 11:29. https://​doi.​org/​10.​1186/​
s40645-​024-​00630-1

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