While lumens is a bit helpful when selecting the right lighting, however aquarium lighting is mainly based on PAR now... Because planted tank lighting when going by lumens it doesn't specify how good the "bulbs" are at growing plants, Photosynthetically active radiation, often abbreviated
PAR, designates the spectral range (wave band) of solar radiation from 400 to 700
nanometers that photosynthetic organisms are able to use in the process of
photosynthesis.
Also understanding chlorophyll peaks in plants will help you in selecting the best lighting for your planted aquarium, there's 2 stages of chlorophyll; Chlorophyll A and Chlorophyll B, each one peaks at different wavelengths. This chart will help to understand...
By selecting the best "bulbs" to correlate with the peaks in chlorophyll you'll find success!
This is the reason I prefer T5HO quad fixtures for planted tanks, it allows you to use multiple bulbs that target the peaks in the chlorophyll. Here's my all time favorite bulb for T5HO...
As you can see the WavePoint Ultra Growth Wave bulb specifically targets the peaks in chlorophyll a & b, which gives you the best growth in plants.