  Mariana trench is the deepest place on the Earth. It crosses four tectonic
plates of the Pacific Ocean: Mariana, Caroline, Pacific and Philippine. The
formation of the trench is caused by the complex interconnection of various
environmental factors. The aim of this study was to describe and characterize
various impact factors affecting formation of the Mariana trench geomorphology
and continental margin environments using R programming language and
mathematical algorithms of correlation methods written on R code. To record the
system of geological, tectonic, geographic, oceanological and bathymetric
features affecting Mariana trench , a combination of statistical methods, GIS
and R programming codes were applied. The questions answered are as follows:
which factors are the most influencing for the Mariana trench morphology, and
to what extend do they affect its development? Is sedimental thickness of the
ocean trench basement more important factors for the trench formation comparing
to the steepness slope angle and aspect degree? Three methods of computing were
tested: Pearson correlation, Spearman correlation, Kendall correlation,
numerical correlogram, correlation matrix and cross-correlatios to analyze
environmental impact factors. The correlogram matrices are computed and
visualized by R scripting libraries. Complex usage of programming tools,
mathematical statistics and geospatial analysis enabled to get a differentiated
understandings of the hadal environments of the Mariana trench. The results
revealed 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 of
the trench basement and igneous volcanic areas causing earthquakes play the
most essential role in the geomorphology of the trench.
