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For Dual-record system, in the context of human population, the popularChandrasekar-Deming model incorporates only the time variation effect oncapture probabilities. How-ever, in practice population may undergo behavioralchange after being captured first time. In this paper we focus on theDual-record system model (equivalent to capture- recapture model with twosampling occasions) with both the time as well as behavioral responsevariation. The relevant model suffers from identifiability problem. Twoapproaches are proposed from which approximate Bayes estimates can be obtainedusing very simple Gibbs sampling strategies. We explore the features of our twoproposed methods and their usages depending on the availability (ornon-availability) of the information on the nature of behavioral responseeffect. Extensive simulation studies are carried out to evaluate theirperformances and compare with few available approaches. Finally, a real dataapplication is provided to the model and the methods.

Approximate Bayesian Solution for Estimating Population Size from Dual-record System