The single most important indicator for lichen fauna that most researchers agrees is always the exact host tree species. (another reason again that iNat should really prioritize ecological interactions recording in better way, by standardizing multiple observation fields names used for same context and providing uniform low friction ways to record such interactions readily)
well within such species reasoning, most readily call out the PH, there is bark physical structure, bark physiochemical gradients of cations and trace elements, water holding capacity of bark, tree diameter, tree crown height, elevation of the tree, geographical latitude, tree position among other trees, tree inclination …
all of these parameters are studied, albeit sadly not in a single unified way, and each are known to influence towards certain lichen preferences. if one sees closely things above are correlated too - for example a water holding capacity can be amplified by bark fissures which inturn can happen as tree matures with correlated increase of diameter … Effects of habitat quality and fine-scale spatial structure on epiphytic lichen and bryophyte communities Moller, Kaufmann, and Hauck, 2026
so even within a single tree species, lichen diversity can differ depending on these various factors, called as β dominated communities in literature - Lichen diversity and red-listed lichen species relationships with tree species and diameter in wooded meadows Thor, Johansson, and Jonsson, 2010
obviously finding such true causative agents is not just about curious science question but also a great study for real conservation policies of lichens itself, so if a goal is to retain maximal species diversities of lichens in an agroforestry business, knowing such correlations will have immediate benefits in turn - The value of information in conservation planning: Selecting retention trees for lichen conservation Perhans, Haight, and Gustafsson, 2014
and there are types of lichens within lichens too - for example, a nitrophytic lichen usually loves high PH environment than an acidophytic lichen - but the environment and pollution is blurring that lines more and more in recent decades: Is bark pH more important than tree species in determining the composition of nitrophytic or acidophytic lichen floras? Spler, Doben and Dort 2010.
Now coming to another question occurred above, are lichens harmful per se to trees?
well context matters a lot to what is harmful as with individual goals; for example even if a certain lichen species is known to reducing growth of certain trees by interefering with tree photosynthesis and cellular respiration, … (called alleopathic intereference and is pretty common among lichens) does not definitively conclude such lichen is harmful and should be immediately cleaned out, because maybe that specific tree population level reduction is inturn gonna increase other flora given time as the environment obviously has limited resources be it space or nutrients or such.
It’s easy to talk as tree vs lichen battle in those discussion but in reality its groups of specific trees+specific lichens battles even if indirect.
For example, to a pine conservator these research looks opposing but for tree lovers and not exclusively pine lovers, it feels good: Lichens and mosses promote alternate stable plant communities in the New Jersey Pinelands
Lichens Contribute to Open Woodland Stability in the Boreal Forest Through Detrimental Effects on Pine Growth and Root Ectomycorrhizal Development