Deterministic Informationless Lindenmayer Sytems with Tables (DTOL) aro systems introduced for the mathematical modelling of the development of Filainontoita organisms under changing environmental conditions. The sequence equivalence problem for DTOL, i.e. the problem of determining whether the sequences of organisms produced by two given DTOL are equal, is open in the general case. We introduce hero a weaker notion of equivalence between DTOL, to be called similarity, and prove its decidability. We also prove the decidability of the original sequence-equivalence problem for some particular cases.