Author response:
The following is the authors’ response to the previous reviews
Public Reviews:
Reviewer #1 (Public review):
Weaknesses
(1) One of the main EEG results is based on the weighted phase lag index (wPLI) between oscillations in the alpha and theta bands. In my opinion, this is problematic, as wPLI measures the locking of oscillations at the same frequency. It quantifies how reliably the phase difference stays the same over time. If these oscillations have different frequencies, the phase difference cannot remain consistent. Even worse, modeling data show that even very small fluctuations in frequency between signals make wPLI artificially small (Cohen, 2015).
In response authors stated : "Additionally, the present study referenced previous research by using the wPLI index as a measure of cross-frequency coupling strength31,64-66"
Unfortunately, after checking those publications, we can see that in paper 31 there is no mention of "wPLI" or "PLV." In 64 and 65, the authors use wPLI, but only to measure same-frequency coherence, whereas cross-frequency coupling is computed by phase-amplitude coupling or cross-frequency coupling also known as n:m-PS. In 66, I cannot find any cross-frequency results, only cross-species analysis. This is very problematic, as it indicates that the authors included references in their rebuttal without verifying their relevance.
31 de Vries, I. E. J., van Driel, J., Karacaoglu, M. & Olivers, C. N. L. Priority Switches in Visual Working Memory are Supported by Frontal Delta and Posterior Alpha Interactions. Cereb Cortex 28, 4090-4104, doi:10.1093/cercor/bhy223 (2018).
64 Delgado-Sallent, C. et al. Atypical, but not typical, antipsychotic drugs reduce hypersynchronized prefrontal-hippocampal circuits during psychosis-like states in mice: Contribution of 5-HT2A and 5-HT1A receptors. Cerebral Cortex 32, 870 3472-3487 (2022).
65 Siebenhühner, F. et al. Genuine cross-frequency coupling networks in human resting-state electrophysiological recordings. PLoS Biology 18, e3000685 (2020).
66 Zhang, F. et al. Cross-Species Investigation on Resting State Electroencephalogram. Brain Topogr 32, 808-824, doi:10.1007/s10548-019-00723-x (2019).
We thank the reviewer for this critical methodological correction. We fully agree that the weighted phase lag index (wPLI) is designed for same-frequency phase synchronization and is not appropriate for cross-frequency coupling (CFC). In our original rebuttal, we incorrectly cited references that did not support the use of wPLI for CFC. We apologize for this error and have thoroughly revised our analysis and manuscript.
What we have done:
(1) Replaced wPLI with proper 1:2 cross-frequency phase synchrony (CFS).
We now compute 1:2 CFS using the phase-locking value (PLV) between theta (4–7 Hz) and alpha (8–14 Hz) oscillations, following established methodologies (Siebenhühner et al., 2020, PLoS Biol; Palva et al., 2005, J Neurosci). Specifically, for each electrode pair we compute:
.The factor 2 accounts for the 1:2 frequency ratio (theta:alpha = 1:2).
(2) Updated all relevant sections – Methods (“Interregional connectivity”), Results (Figure 8, Figure 9), Discussion, and Figure legends – replacing “wPLI” with “1:2 CFS (PLV)” and providing the correct formula and citations.
(3) Corrected the reference list to include the appropriate methodological papers (Siebenhühner et al., 2020; Palva et al., 2005) and removed irrelevant citations.
We believe this revision fully resolves the reviewer’s concern. Notably, the empirical results remained qualitatively unchanged (PLV and wPLI gave highly consistent values due to the absence of zero‑lag artifacts in cross‑frequency coupling), so the main conclusions of the paper are unaffected.
(2) Another result from the electrophysiology data shows that the attentional capture effect is positively correlated with the mean amplitude of alpha power. In the presented scatter plot, it seems that this result is driven by one outlier. Unfortunately, Pearson correlation is very sensitive to outliers, and the entire analysis can be driven by an extreme case. I extracted data from the plot and obtained a Pearson correlation of 0.4, similar to what the authors report. However, the Spearman correlation, which is robust against outliers, was only 0.13 (p = 0.57) indicating a non-significant relationship.
Cohen, M. X. (2015). Effects of time lag and frequency matching on phase based connectivity. Journal of Neuroscience Methods, 250, 137-146
We thank the reviewer for raising this important statistical issue. We have conducted a thorough robustness analysis and revised our interpretation accordingly.
What we have done:
(1) Removed the original scatter plot (Figure 7) to avoid overinterpretation. No replacement figure is provided; instead, all results are reported in text.
(2) Conducted leave‑one‑out cross‑validation.
The Pearson correlation remained positive across all 24 iterations (range: 0.183–0.497, mean r = 0.430 ± 0.055), confirming that no single participant solely drove the direction of the effect.
(3) Reported Spearman rank correlation (r = 0.13, p = 0.57), which is more robust to univariate outliers.
(4) Acknowledged the sensitivity – p‑values from leave‑one‑out iterations ranged from 0.0158 to 0.4025, indicating that statistical significance is not fully robust to sample composition.
(5) Revised the text to present this as preliminary evidence rather than a definitive conclusion. Specifically, we state: “Thus, we interpret this as preliminary evidence that occipital alpha activity may be associated with the priority state within VWM, warranting replication in larger samples.” The Discussion also includes a dedicated limitation paragraph.