Intro: lines 40-44 repeat lines 35-39!

Line 59: 'biolectricalal' ---> 'biolectrical'

In Subsection 2.2, 11 complexity measures are introduced without providing corresponding references for all of them. I would appreciate if for every information measure there will be a corresponding reference in 2.2.

Regarding the application of various complexity measures to the Earth system, there have been a couple of useful reviews by Balasis et al. (2013, 2023).

Please provide a reference for Equation (6).

Line 46: 'We emphases' ---> 'We emphasize'

Subsection 4.1, line 60: "The convergence of multiple critical points...": could you please specify the mentioned critical points here? This is a very abstract sentence.

Please check and comment upon these recent findings on the plants behavior for the April 2024 total solar eclipse in the USA (https://news.iu.edu/live/news/35529-eclipses-give-iu-researcher-a-glimpse-into-plants):

"When the moon blocked the midday sun, the plants behaved as if it were time for rest. When the light returned just a few minutes later, they went into shock. The rapid transition from dark to light altered biochemical processes of the plant for several hours following the event, disrupting the circadian rhythm of the shrub."

Section 5:

Why do we need all these sophisticated information theory measures and a quantum field theory model to study how plants behave during an eclipse? What's the merit of doing all these analyses? Is this just for the shake of science? What all these analyses could tell us about the system under study? And which is actually the system in our case? Is it the particular forest or the Earth system?

In authors' words: "Our findings show that collective phenomena have emerged in both plant and animal groups, hinting at the intriguing possibility of a fundamental commonality in how patterns of behaviour propagate across different organisms." What's the benefit of this interesting conclusion?

The sun-tree coupling system reminds me of another externally driven complex system: the solar-terrestrial coupling system in Heliophysics. The latter refers to the solar wind - magnetosphere interaction leading to a magnetic storm, but also includes the possible solar eclipse effect to the Earth's magnetic field. Could you please comment upon it and find possible similarities and differences between the two coupling systems? Complexity refers also to the observation of a universal behavior around critical points in completely different systems.

References

Balasis, G., R. V. Donner, S. M. Potirakis, J. Runge, C. Papadimitriou, I. A. Daglis, K. Eftaxias, and J. Kurths, Statistical mechanics and information-theoretic perspectives on complexity in the Earth system, Entropy, 15 (11), 4844–4888; doi:10.3390/e15114844, 2013.

Balasis, G., Balikhin, M.A., Chapman, S.C. et al. Complex Systems Methods Characterizing Nonlinear Processes in the Near-Earth Electromagnetic Environment: Recent Advances and Open Challenges. Space Sci Rev 219, 38 (2023). https://doi.org/10.1007/s11214-023-00979-7

I am impressed with the way the authors have responded to my remarks and made corresponding revisions in their manuscript.

I am pleased to recommend the publication of this manuscript in Royal Society Open Science.

I am sure it would make a significant contribution to the topic of complex systems science.