I found many indices measuring flowering synchrony among individuals of one species, but, I am looking for an indice that quantifies flowering synchrony among species. Thank you.
Take a look at some of Beverley Rathcke's papers on community phenology patterns from the 1980s/90s.
It's been some time since I thought seriously about it, but Augspurger's index should be modifiable to deal with different species rather than different individuals - I used it in the attached paper.
You could think in time as a resource and use a overlap index to estimate synchrony between species. The index range from 0 (no overlap) up to 1 (total overlap). The species are lines in your dataset and months are the columns, inside cells you can have the percentage of individual activity per month.