Quasi-steady Lagrangian transport patterns for the Black Sea

This is the data release for the publication "Persistent Lagrangian Transport patterns in the Black Sea identified from climatological Lagrangian Coherent Structures". (https://doi.org/10.1038/s41598-025-00432-5) 1) crho is defined as the climatological attraction strength, which is expressed in terms of a dimensionless quantity. The crho matrix encompasses values of: (longitude, latitude, time). To facilitate the visualization of crho, it is recommended to utilize the colorbar value, which ranges from 0.4 to 1.3, where: Values greater than 0.5 are indicative of isolated or stagnant regions.Values ranging from 0.5 to 0.7 are indicative of low attraction strength, denoting regions of minimal stirring and mixing.Values ranging from 0.7 to 1.0 are indicative of medium attraction strength.Values of crho > 1 are indicative of high attraction strength.Finally, values greater than 1.3 are indicative of maximum attraction strength, which corresponds to maximum stirring and mixing. 2) cLCS extract persistent and recurrent Lagrangian transport patterns or quasi-steady Lagrangian transport patterns. To visualize the persistent squeezelines, it is necessary to utilize the variables clcs_xs and clcs_ys. The matrix must be permuted to the configuration: 501 x 778 x 12. The climatological attraction strength of the persistent squeezelines refers to the matrix clcs_zs (501x778x12). The following example illustrates this for the first month in Python: xs = rootgrp.variables["clcs_xs"]ys = rootgrp.variables["clcs_ys"]zs = rootgrp.variables["clcs_zs"]plt.plot(xs[0], ys[0])plt.show() In Matlab: lon=permute(clcs_xs[2 1 3]); lat=permute(clcs_ys[2 1 3]); plot(lon(:,:,1),lat(:,:,1),'k'); If you want to redo it with your databases or for another region, a Matlab package is available at: https://bitbucket.org/rodu/clcss/src/master/ Any questions? [e-mail]