Research Article

Calculating slope gradient variations in the submarine landforms by R and Python statistical libraries

Volume: 7 Number: 2 December 25, 2019
Polina Lemenkova *
EN

Calculating slope gradient variations in the submarine landforms by R and Python statistical libraries

Abstract

Multiple factors affect submarine geomorphology causing variations in the gradient slope: geological settings (rock composition, structure, permeability, erodibility of the materials), submarine erosion, gravity flows of water streams, tectonics, sediments from the volcanic arcs, transported by transverse submarine canyons. Understanding the slope geomorphology is important for the precise bathymetric mapping. However, analysis of such a complex geomorphic structure as ocean trench requires numerical computation and advanced statistical analysis of the data set. Such methods are proposed by R and Python programming languages that include libraries of machine learning algorithms for the data processing used in this research: {tidyverse}, {ggsignif}, {ggplot} and {magrittr} by R, StatsModels, Matplotlib, NumPy, Pandas and Seaborn by Python. The research workflow can be summarized in five steps: 1) Partial least squares regression analysis; 2) Violin plots, modified box plot approach; 3) Modelling variations of depth and slope gradient, facetted in multi-panel plots by 4 tectonic plates; 4) Calculating normalized steepness angle; 5) Sorting, ranking and grouping of the cross-sectioning profiles by gradient slope degree, to estimate differences in the geomorphic shapes. As a result of the ranking performed in step 5, slopes were classified into five classes based on the calculated tangent angles: strong, very strong, extreme, steep, very steep. The results show differences in the gradient slope between various segments of the Mariana Trench located in four tectonic plates: Mariana, Caroline, Pacific and Philippine Sea, performed by statistical data modelling. Programming codes and snippets are presented for repeatability of the methods in similar research tasks.

Keywords

Geomorphology,Slope Calculation,Gradient,R,Python,Programming

Supporting Institution

China Scholarship Council (CSC)

Project Number

2016SOA002

Thanks

This research was funded by the China Scholarship Council (CSC), State Oceanic Administration (SOA), Marine Scholarship of China, Grant Nr. 2016SOA002, People’s Republic of China.

References

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APA
Lemenkova, P. (2019). Calculating slope gradient variations in the submarine landforms by R and Python statistical libraries. MANAS Journal of Engineering, 7(2), 99-113. https://izlik.org/JA63DH62RB
AMA
1.Lemenkova P. Calculating slope gradient variations in the submarine landforms by R and Python statistical libraries. MJEN. 2019;7(2):99-113. https://izlik.org/JA63DH62RB
Chicago
Lemenkova, Polina. 2019. “Calculating Slope Gradient Variations in the Submarine Landforms by R and Python Statistical Libraries”. MANAS Journal of Engineering 7 (2): 99-113. https://izlik.org/JA63DH62RB.
EndNote
Lemenkova P (December 1, 2019) Calculating slope gradient variations in the submarine landforms by R and Python statistical libraries. MANAS Journal of Engineering 7 2 99–113.
IEEE
[1]P. Lemenkova, “Calculating slope gradient variations in the submarine landforms by R and Python statistical libraries”, MJEN, vol. 7, no. 2, pp. 99–113, Dec. 2019, [Online]. Available: https://izlik.org/JA63DH62RB
ISNAD
Lemenkova, Polina. “Calculating Slope Gradient Variations in the Submarine Landforms by R and Python Statistical Libraries”. MANAS Journal of Engineering 7/2 (December 1, 2019): 99-113. https://izlik.org/JA63DH62RB.
JAMA
1.Lemenkova P. Calculating slope gradient variations in the submarine landforms by R and Python statistical libraries. MJEN. 2019;7:99–113.
MLA
Lemenkova, Polina. “Calculating Slope Gradient Variations in the Submarine Landforms by R and Python Statistical Libraries”. MANAS Journal of Engineering, vol. 7, no. 2, Dec. 2019, pp. 99-113, https://izlik.org/JA63DH62RB.
Vancouver
1.Polina Lemenkova. Calculating slope gradient variations in the submarine landforms by R and Python statistical libraries. MJEN [Internet]. 2019 Dec. 1;7(2):99-113. Available from: https://izlik.org/JA63DH62RB