I wrote the MATLAB scripts to analyse the data and carried out the analysis.• I co-developed the suite of vector-tensor statistics together with Prof. Koh Tieh Yong.• Prof. Koh Tieh Yong explained the relation between the scalar variance and the mean wind speed and provided the relevant proofs in Appendix C and D. Chapter 5 is submitted to Journal of Wind Engineering & Industrial Aerodynamics as J.-J. Tieo, M. Skote, N. Srikanth. Suitability of power-law extrapolation for wind speed estimation on a tropical island. (2019). Under review.The contributions of the co-authors are as follows:• Dr. Narasimalu Srikanth provided the lidar wind data used in the project.• I wrote and edited the drafts of the manuscript. Prof. Martin Skote revised the manuscript and Dr. Narasimalu Srikanth reviewed it.• I wrote the MATLAB scripts needed to carry out the analysis and analysed the results.• I developed the alternative wind profile models proposed in the study. Prof. Martin Skote suggested the use of an inverse tangent-based function.• Dr. Narasimalu Srikanth provided the discourse on the lidar method and error included in Section 5.3.2.