“…In the unperturbed dipole magnetic field f ce ∝ L 3 and f pe ∝ L 2 (see the empirical model in Sheeley et al (2001)), which will give E ∝ L 1 with dE/dL < 0 (observed at larger L, around 06:47:30 UT). Substorm injections, however, transport hot ion populations (Birn et al, 2015;Gkioulidou et al, 2014Gkioulidou et al, , 2016Ukhorskiy et al, 2017Ukhorskiy et al, , 2018) that may form localized regions of magnetic field depletion (so-called magnetic dips, Xia et al, 2019;Zhu et al, 2021) filled by EMIC waves (see He et al, 2017;Yin et al, 2022;Yu et al, 2023;. This magnetic field depletion will result in a weaker radial gradient of f ce , that is f ce ∝ L 3+q with q > 0 ( Xia et al, 2019;Zhu et al, 2021), and this effect may make f ce /f pe ∝ L 1+q increase with decreasing L (i.e., dE/dL > 0, observed around 06:47:45 UT).…”