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Mariana trench is the deepest place on the Earth. It crosses four tectonicplates of the Pacific Ocean: Mariana, Caroline, Pacific and Philippine. Theformation of the trench is caused by the complex interconnection of variousenvironmental factors. The aim of this study was to describe and characterizevarious impact factors affecting formation of the Mariana trench geomorphologyand continental margin environments using R programming language andmathematical algorithms of correlation methods written on R code. To record thesystem of geological, tectonic, geographic, oceanological and bathymetricfeatures affecting Mariana trench , a combination of statistical methods, GISand R programming codes were applied. The questions answered are as follows:which factors are the most influencing for the Mariana trench morphology, andto what extend do they affect its development? Is sedimental thickness of theocean trench basement more important factors for the trench formation comparingto the steepness slope angle and aspect degree? Three methods of computing weretested: Pearson correlation, Spearman correlation, Kendall correlation,numerical correlogram, correlation matrix and cross-correlatios to analyzeenvironmental impact factors. The correlogram matrices are computed andvisualized by R scripting libraries. Complex usage of programming tools,mathematical statistics and geospatial analysis enabled to get a differentiatedunderstandings of the hadal environments of the Mariana trench. The resultsrevealed following three types of factors having the highest score: geometric(tg{\deg} slope angle), geologic (sedimental thickness) and tectonic structure.The results furthermore indicated that tectonic plates, sedimental thickness ofthe trench basement and igneous volcanic areas causing earthquakes play themost essential role in the geomorphology of the trench.

R scripting libraries for comparative analysis of the correlation methods to identify factors affecting Mariana Trench formation