Predicting wave run-up on rubble-mound structures using M5 model tree

Abstract

Predictionofrun-uplevelisakeytaskindesignofthecoastalstructures.Forthedesignofthecrest level ofcoastalstructures,thewaverun-uplevelwitha2%exceedanceprobability, Ru2%, ismost commonlyused.Inthisstudy,theperformanceofM5modeltreeforpredictionofthewaverun-upon rubble-moundstructureswasinvestigated.Themainadvantageofmodeltrees,unliketheothersoft computingtools,istheireasieruseandmoreimportantlytheirunderstandablemathematicalrules. ExperimentaldatasetofVanderMeerandStamwasusedfordevelopingmodeltrees.Theconventional governingparameterswereselectedastheinputvariablesandtheobtainedresultswerecompared with VanderMeerandStam'sformula,recommendedbythe CoastalEngineeringManual(CEM,2006). The predictiveaccuracyofthemodeltreeapproachwasfoundtobesuperiortothatofVanderMeer and Stam'sempiricalformula.Furthermore,tojudgethegeneralizationcapabilityofthemodeltree method,themodeldevelopedbasedonlaboratorydatasetwasvalidatedwiththeprototyperun-up measurementsontheZeebruggebreakwater,Belgium.Resultsshowthatthemodeltreeismore accuratethanempiricalformulasandTSFuzzyapproachinestimatingthefull-scalerun-up.