# Correction to: Shigaraki UAV-Radar Experiment (ShUREX): overview of the campaign with some preliminary results

Lakshmi Kantha, Dale Lawrence, Hubert Luce, Hiroyuki Hashiguchi, Toshitaka Tsuda, Richard Wilson, Tyler Mixa, Masanori Yabuki

► To cite this version:

Lakshmi Kantha, Dale Lawrence, Hubert Luce, Hiroyuki Hashiguchi, Toshitaka Tsuda, et al. Correction to: Shigaraki UAV-Radar Experiment (ShUREX): overview of the campaign with some preliminary results. Progress in Earth and Planetary Science, 2018, 5 (1), pp.art. 48. 10.1186/s40645-018-0210-9. [hal-02024241](https://hal HAL Id: [hal-02024241](https://hal HAL Id: [hal-02024241](https://amu.hal.science/hal-02024241) [https://amu.hal.science/hal-02024241](https://amu.hal.science/hal-02024241)

Submitted on 2 Sep 2021

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CORRECTION

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# Correction to: Shigaraki UAV-Radar Experiment (ShUREX): overview of the campaign with some preliminary results

Lakshmi Kantha¹, Dale Lawrence¹, Hubert Luce², Hiroyuki Hashiguchi<fnref n="3" />*, Toshitaka Tsuda<fnref n="3" />, Richard Wilson⁴, Tyler Mixa¹ and Masanori Yabuki<fnref n="3" />

## Correction

An error in computing the spectral level from time series data from UAV-borne sensors was discovered after this article (Kantha et al. 2017) was published. This error has to do with inadvertent use of non-variance preserving Hanning window during spectral analysis, which leads to significant underestimate of the TKE dissipation rate $\epsilon$ derived from pitot tube data, structure function parameter $C_T^2$ from cold wire data, and dissipation rate of temperature variance $\chi_T$ and structure function parameter $C_n^2$. $\epsilon$ was underestimated by an average factor of about 5.1, and $C_T^2$ and $C_n^2$ by about 3.0. In addition, the coefficient in

$$ \chi_T = 0.9309 C_T^2 \epsilon^{1/3} \quad (8) $$

relating $\chi_T$ and $C_T^2$ and $\epsilon$ should have been 0.3125, but instead was 0.9309, a factor of ~3 higher. However, since both $C_T^2$ and $\epsilon$ were underestimated by a factor of 3 and 5.1, respectively, $\chi_T$ was underestimated by a factor of just 1.7.

Therefore, $\epsilon$ values in Figs. 12, 13, 15 and 16 should be multiplied by 5.1, $C_T^2$ values in Fig. 17 by 3.0, $\chi_T$ values in Fig. 18 by 1.7 and $C_n^2$ values in Fig. 19 by 3.0. The discussions in the text should be correspondingly modified. The lead author accepts the responsibility and apologizes for this error.

We also take this opportunity to point out that ShUREX 2015 and 2016 data have been processed and the scientific results are available in the references (Luce et al. 2017, 2018a, b) cited in this correction. The reader is also referred to: (Luce et al. 2018c) /Luce H, Kantha L, Hashiguchi H, Lawrence D, Doddi A (2018) Turbulence Kinetic

Energy dissipation rates estimated from concurrent UAV and MU radar measurements, personal communication/ /Kantha L, Luce H, Hashiguchi H (2018) On a numerical model for extracting TKE dissipation rate from VHF radar spectral width, personal communication/.

This has now been included in this correction.

## Author details

¹Aerospace Engineering Sciences, University of Colorado, Boulder, CO 80309, USA. ²Mediterranean Institute of Oceanography (MIO), Université de Toulon, CNRS/INSU, UM 110, Toulon, France. ³Research Institute for Sustainable Humanosphere, Kyoto University, Kyoto, Japan. ⁴LATMOS-IPSL, Université Pierre et Marie Curie (UPMC), CNRS-INSU, Paris, France.

Received: 17 August 2018 Accepted: 17 August 2018

Published online: 05 September 2018

## References

Kantha L, Lawrence D, Luce H, Hashiguchi H, Tsuda T, Wilson R, Mixa T, Yabuki M (2017) Shigaraki UAV-Radar Experiment (ShUREX): overview of the campaign with some preliminary results. Prog Earth Planet Sci 4:19 https://doi.org/10.1186/s40645-017-0133-x

Luce H, Hashiguchi H, Kantha L, Lawrence D, Tsuda T, Mixa T, Yabuki M (2017) Comparisons between high-resolution profiles of squared refractive index gradient M² measured by the MU radar and UAVs during the ShUREX 2015 campaign. Ann Geophys 35:423–441 https://doi.org/10.5194/angeo-35-423-2017

Luce H, Hashiguchi H, Kantha L, Lawrence D, Tsuda T, Mixa T, Yabuki M (2018a) On the performance of range imaging technique estimated using unmanned aerial vehicles during the ShUREX 2015 campaign. IEEE Trans Geosci Remote Sens https://doi.org/10.1109/TGRS.2017.2772351

Luce H, Kantha L, Hashiguchi H, Lawrence D, Mixa T, Yabuki M, Tsuda T (2018c) Vertical structure of the lower troposphere derived from MU radar, unmanned aerial vehicle, and balloon measurements during ShUREX 2015. Prog Earth Planet Sci 5:29 https://doi.org/10.1186/s40645-018-0187-4

Luce H, Kantha L, Yabuki M, Hashiguchi H (2018b) Atmospheric Kelvin-Helmholtz billows captured by the MU radar, lidars and a fish-eye camera. Earth Planets Space (MST 15 Radar Workshop Special Issue) (accepted)

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<footnote>* Correspondence: hasiguti@rish.kyoto-u.ac.jp</footnote>

<footnote n="3">³Research Institute for Sustainable Humanosphere, Kyoto University, Kyoto, Japan</footnote>

<footnote>Full list of author information is available at the end of the article</footnote>