Optical access technologies allow service providers to propose high bandwidth services in both directions (upstream and downstream) and thus to develop values added services. Passive Optical Network (PON) technologies offer, in the upstream, a controlled access to a shared media. Dedicated control mechanisms to the upstream channel have been proposed by ITU-T for Gigabit-capable Passive Optical Network (G-PON) and 10 Gigabit-capable Passive Optical Network (XG-PON1). Such mechanisms rely on Dynamic Bandwidth Allocation (DBA) procedures that manage bandwidth allocation according to customers requirements. This paper focuses on comparing two such DBA algorithms: Status Reporting (SR) in which the customer explicitly reports its backlog, and Non Status Reporting (NSR) in which the Optical Line Termination (OLT) infers customers' requirements by assessing how previously allocated resources were used. We develop several models in order to illustrate the respective performances of SR and NSR.