> - "Playing sounds of healthy coral on reefs makes fish return" (2019) https://news.ycombinator.com/item?id=36450824#36465577 and other Coral Restoration links
Have to nitpick though, umbrellas protect you from falling water, parasols block light.
A problem is that corals need algae to photosinthesize so too much shadow is also bad.
Another is that the shadowed water will be still hot, because the cold water moves away with the tides and oceanic temperature inertia is too powerful. So now corals could have two problems instead one problem. Feel good solution.
A better focus would be to use some kind of system to move deep water up using the reef topology. Would be noisy and obtain permits will be a real pain in the ass, but at least could work for a while to protect entire ecosystems in small areas that can be used later to seed other areas around.
In the meanwhile as this is not easy, this small umbrellas are time consuming to build and can dislodge and hit other corals potentially breaking or damaging fragile species that need decades to grow, a floating and well anchored second hand jumping bed would be much more efficient, relatively less risky to crash against submerged corals, and a little more durable. Many owners of jumping beds with holes on it, would be glad to get rid of... donate them for free for a good cause. At least this is needed just in summer and will need to be removed before winter storms turns it into garbage. Small fishes will use also this platforms for refuge so corals could also benefit of that.
Watching the health of the colony constantly to see if there is too much shadow is essential, Also place it out of the fishermen way and never on ship routes. And this can't be used in areas with seals.