Tide modeling using partial least squares regression
File version
Accepted Manuscript (AM)
Author(s)
Ndehedehe, Christopher
Attai, Hosanna
Griffith University Author(s)
Primary Supervisor
Other Supervisors
Editor(s)
Date
Size
File type(s)
Location
License
Abstract
This research explores the novel use of the partial least squares regression (PLSR) as an alternative model to the conventional least squares (LS) model for modeling tide levels. The modeling is based on twenty tidal constituents: M2, S2, N2, K1, O1, MO3, MK3, MN4, M4, SN4, MS4, 2MN6, M6, 2MS6, S4, SK3, 2MK5, 2SM6, 3MK7, and M8. The 1st, 2nd, and 3rd PLSR components are selected from 40 PLSR components for the modeling based on the computed variances, Yloadings, and Yscores. The PLSR results are compared with those of the LS. The normality of the model residuals are evaluated by the Jarque–Bera statistical test. The computed probabilities of the normality test for 1st, 2nd, and 3rd PLSR components and LS are p = 0.0611, p = 0.0656, p = 0.916, and p = 0.0517, respectively, which all indicate p > 0.05, and imply that the residuals are normally distributed. The nature of tide criterion is verified by computing the tidal form factor F. The computed tidal form factor for the 1st, 2nd, and 3rd PLSR components and LS are F = 0.1794, F = 0.1696, F = 0.1599, and F = 0.1848 respectively. All the models satisfy the semidiurnal criterion of 0 ≤ F ≤ 0.25 at the 95% confidence level, since the observed tide is characteristically semidiurnal. The computed coefficient of determination for the 1st, 2nd, and 3rd PLSR components and LS are r2 = 0.9134, r2 = 0.9825, r2 = 0.9933, and r2 = 0.7861 respectively. These results prove that the PLSR model outperformed the conventional LS model, and therefore, a viable alternative to the conventional LS model.
Journal Title
Ocean Dynamics
Conference Title
Book Title
Edition
Volume
Issue
Thesis Type
Degree Program
School
Publisher link
DOI
Patent number
Funder(s)
Grant identifier(s)
Rights Statement
Rights Statement
© 2020 Springer Berlin / Heidelberg. This is an electronic version of an article published in Ocean Dynamics, 2020. Ocean Dynamics is available online at: http://link.springer.com/ with the open URL of your article.
Item Access Status
Note
This publication has been entered in Griffith Research Online as an advanced online version.
Access the data
Related item(s)
Subject
Geology
Oceanography
Geomatic Engineering
Persistent link to this record
Citation
Onuwa, O; Ndehedehe, C, Tide modeling using partial least square regression, Ocean Dynamics, 2020