This site looks briefly at some of the scientific explanations. Excerpts:
(The following is taken from “Agricultural Ecology” by Girolami Azzi): Radishes sown with a rising moon blossom in 50-60 days when temperatures are reasonably high: sown with a waning moon, the interval between sprouting and blooming is much longer, so permitting the plant to develop the meaty root mass utilised by man.
The main environmental factor triggering flowering is the length of the night, (a form of photoperiodism). Plant photoperiodic processes are perfectly capable of responding to light levels much lower than those experienced at full moon, so it would be surprising if plants did not respond to the phases of the moon.
If the moon can affect the flowering times of plants, then the distinction between “above ground plants” and “below ground plants”, makes more sense: in the case of “below ground crops” (onions, carrots, turnips etc.) flowering is usually undesirable; but this is not the case with many “above ground crops” such as sweetcorn and beans.
Now, this does make a certain amount of sense to me. I know from some research I did in response to another question on this board that artificial light (eg. streetlights) can affect plant growth and health, often negatively. In the example given above, radishes produce good root growth until they flower, and begin to produce seed. At that point, the plant’s energy goes into seed production for next year’s crop. So if I can time my planting so there is a longer period before the radish plant is cued to begin seed production, I get a longer period of root growth. With a plant like peas or beans, where the seed is what we eat, I want the plant to flower as soon as possible.
Another possibility:
Lunar cycles can influence the activity, behaviour and breeding of animals. Plants are vulnerable in the first few days after germination, planting at a phase of the moon when pests are active could reduce the yield. The Malayan black rice bug is a serious pest, and seems to be caught more in light traps at full moon. Gerbils in the Negev desert forage for food most at new moon, when they are less at risk from owls. It seems likely to me that mice and rats (which can eat a lot of newly planted seed) might do the same.
That doesn’t sound unreasonable, either.
I doubt that there is a single factor at work here. Perhaps some plants are more affected by seasonal light differences, others are more susceptible to pests, and still others might be affected cyclically by something else we haven’t yet thought of?
It’s not necessarily that the tidal force has a specific effect on a specific plant, in and of itself. But perhaps that force, in combination with other factors such as length of daylight and the variable nighttime light from the moon, cues the plants to grow in ways that are most beneficial.
In any case, I’m still open to the possibility that following the lunar cycle does help gardeners give their plants the best start.