Thepaperpresentsa0-Dmodelofanalluvialwatercourseschematizedintwoconnectedreaches,evolvingatthelongtime-scaleandunderthehypothesisofLocalUniformFlow.Eachreachisdefinedbyitsgeometry(constantlengthandwidth,time-changingslope)andgrain-sizecompositionofthebed,whilethesedimenttransportiscomputedusingasedimentratingcurve.Theslopeevolutionisprovidedbya0-Dmassbalanceandtheevolutionofthebedcompositioniscomputedbya0-DHiranoequation.Asystemofdifferentialequations,solvedwithapredictor-correctorscheme,isderivedandappliedtotheschematicwatercoursetosimulatethemorphologicalresponsetochanginginitialconditions,andtheevolutiontowardslong-termequilibriumconditions.Differentlyfromasingle-reach0-Dschematizationwithuniformgrain-size,besidesthesimplificationsadopted,themodelproposedheresimulatesthebehaviourofalluvialriversinaphysically-basedway,showingagrain-sizefininginthedownstreamdirectionaccompaniedbymilderslopes,andatendencytodevelopconcavelongitudinalprofiles.
