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We proposed a Bayesian estimation-based inexact two-stage stochastic programming (BITSP) for identifying factors' effect on effluent trading. BITSP incorporates nutrient fate modeling with Bayesian estimation and inexact two-stage stochastic programming (ITSP). Based on the water quality protocols, Bayesian estimation is used to analyze parameter uncertainty of nutrient modeling as well as provide the random inputs for the optimization process. ITSP can then be used for dealing with multipledoi:10.1088/1755-1315/146/1/012049 fatcat:enxohkn6l5b25hlncwbzwiozua