Many plants show compensatory regrowth after herbivory and dormant buds oft
en have an important role in compensatory responses. Theoretical models hav
e shown that herbivore damage may select for a bud bank, i.e., a pool of do
rmant buds that are protected from herbivory and that are activated after h
erbivore damage. Earlier models assumed that undamaged plants cannot activa
te their dormant buds without damage, although they apparently have suffici
ent resources for successful seed production through the additional shoots
dormant buds could produce. However, many plants are able to gradually acti
vate buds over an extended period of time without any cue from damage. The
aim of this study was to analyze how herbivory imposes selection for gradua
l mobilization of the bud bank. I assume that selection pressures that affe
ct the fraction of buds active at each time point include damage by herbivo
res, time left to the end of season, and the opportunity costs of dormant b
uds. I modelled bud dynamics with gradual activation when there is a single
damage event and (i) when the seed set of a shoot is not dependent on the
time it is active, or (ii) when the seed set of a shoot diminishes with lat
er activation. In addition, I analyzed how (iii) risk of repeated herbivory
affects selection for gradual activation. Under these models, gradual acti
vation is optimal over a wide range of herbivory pressures. Selection appea
rs to favour activation of all buds at the beginning of the season only whe
n herbivore pressure is weak and when early shoots have a higher seed set t
han late shoots. Alternatively, strong herbivore pressure and late damage m
ay select for a large bud bank throughout the growing season, without gradu
al activation; the bud bank is only mobilized after damage. In this case, d
amaged plants can overcompensate, i.e. they have a higher seed set than und
amaged plants with the same bud activation pattern. Selection for overcompe
nsation demands a stronger herbivore pressure in this current model than in
earlier bud bank models. The model never predicts selection for overcompen
sation when there is a risk of repeated herbivory.