Data for: Pan-Antarctic assessment of ocean wave induced flexural stresses on ice shelves

A mathematical model (Bennetts et. al, 2022, doi.org/10.1029/2022GL100868) is used to analyse the ocean wave transfer to the Ross Ice Shelf flexure. The results showed significant impact of shelf geometry and wave period on flexural strain. The presented study further investigates the impact of geometrical variations on shelf flexure by doing a case study on the Larsen C Ice Shelf. The analysis also extended to multiple ice shelves to providing statistical relationships between shelf flexure and ice shelf thickness and seabed variation across the range of wave periods (swell, infra-gravity, and extremely long period waves). The geometry data of ice shelves are collected from the Bedmap2 dataset (Fretwell et al, 2013, doi.org/10.5194/tc-7-375-2013) and feed into our model to calculate the corresponding flexural strain and stored in our data files. Our dataset consists of MAT-files which require MATLAB to read the data. The folder includes a data folder and some MATLAB functions to produce the figures as shown in the paper (Jie et. al, (submitted 2023)). The data folder consists 7 MAT files named "Fig_number" where each file is for generating the corresponding figure. Data file named "3km_divided_thick_updated" includes all the input/output data collected of 15 ice shelves for statistical analysis. We also made a comparison between BedMachine3 and BEDMAP2 (BedMachine3 (Morlighem, Mathieu, et al. 2020, https://www.nature.com/articles/s41561-019-0510-8) is another dataset containing Antarctic geometry data). The data "Larsen_bedmachine3" and "Larsen_bedmap2" include the outputs (flexure strain) of the Larsen C Ice Shelf using the geometry from BedMachine3 and BEDMAP2 and "Larsen_map_Bedmachine" and "Map_Larsen_c" and are for producing the maps of Larsen C from BedMachine3 and BEDMAP2 respectively.Eight MATLAB scripts are included to recreate results from Jie et al (submitted). "Fig_1_model" is for producing a geometry of Larsen C using BEDMAP2, "Fig_2_3_varying_geometry" is for geometry variation analysis for Larsen C, "Fig_4_strain_profile" is to show the strain for all the transects covering Larsen C, "Fig_5_Box_plot_with_period_Outliners" is for producing box-plot of strain with outliers for Larsen C, "Fig_6_Box_plot_with_period_all_shelf" is for producing median strain over wave periods for 15 ice shelves, "Fig_7_8_Box_plot_with_shelves_correlation_log" and "Fig_9_correlation_and_periods" are showing the correlation of strain and shelf front thickness / water cavity depth. "Fig_10_Box_plot_with_period_Outliners" is showing a comparison of BedMachine3 and BEDMAP2 using Larsen C as an example.

本研究采用数学模型（Bennetts等人，2022，doi.org/10.1029/2022GL100868）分析海洋波浪向罗斯冰架（Ross Ice Shelf）的挠曲传递过程。研究结果表明，冰架几何形态与波浪周期对挠曲应变具有显著影响。本研究进一步针对拉森C冰架（Larsen C Ice Shelf）开展案例研究，以探究几何形态变化对冰架挠曲的影响。此外，本分析还扩展至多冰架场景，旨在建立冰架挠曲与冰架厚度、以及不同波浪周期（涌浪、亚重力波及超长周期波）范围内海底地形变化之间的统计关系。冰架几何形态数据取自Bedmap2数据集（Bedmap2 dataset，Fretwell等人，2013，doi.org/10.5194/tc-7-375-2013），并输入至本模型以计算对应的挠曲应变，最终存储于本数据集的文件中。本数据集包含MAT格式文件（MAT-files），需使用MATLAB软件（MATLAB）读取数据。数据集文件夹包含一个数据子文件夹与若干MATLAB函数，用于复现论文（Jie等人，2023年投稿）中的相关图表。数据子文件夹内含7个名为"Fig_number"的MAT文件，每个文件对应生成一幅指定图表。名为"3km_divided_thick_updated"的数据文件包含了用于统计分析的15座冰架的全部输入/输出数据。本研究还对比了BedMachine3数据集（BedMachine3）与BEDMAP2数据集：BedMachine3数据集（BedMachine3，Morlighem, Mathieu等人，2020，https://www.nature.com/articles/s41564-019-0510-8）是另一套包含南极地区几何形态数据的数据集。数据文件"Larsen_bedmachine3"与"Larsen_bedmap2"分别包含基于BedMachine3与BEDMAP2的几何形态数据计算得到的拉森C冰架挠曲应变结果；"Larsen_map_Bedmachine"与"Map_Larsen_c"则分别用于基于BedMachine3与BEDMAP2生成拉森C冰架的可视化地图。本数据集附带8个MATLAB脚本，用于复现Jie等人（已投稿）的研究结果：1. "Fig_1_model"：基于BEDMAP2生成拉森C冰架的几何形态；2. "Fig_2_3_varying_geometry"：针对拉森C冰架开展几何形态变化分析；3. "Fig_4_strain_profile"：展示覆盖拉森C冰架的全部断面的应变分布；4. "Fig_5_Box_plot_with_period_Outliners"：生成包含异常值的拉森C冰架应变箱线图（Box-plot）；5. "Fig_6_Box_plot_with_period_all_shelf"：生成15座冰架在各波浪周期下的应变中位数箱线图（Box-plot）；6. "Fig_7_8_Box_plot_with_shelves_correlation_log"与"Fig_9_correlation_and_periods"：展示应变与冰架前缘厚度/水腔深度之间的相关性；7. "Fig_10_Box_plot_with_period_Outliners"：以拉森C冰架为例，对比BedMachine3与BEDMAP2数据集的计算结果。