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Geodynamic and natural hazards processesproduce among other effects deformation and gravity changes which can bemeasured, using space and ground-based techniques. It is widely recognized thatobtaining high temporal rate and high spatial resolution data over wide areascould enhance our mapping capability of such hazardous processes. However, itis also necessary to develop new mathematical (analytical and/or numerical)models and methods for a correct interpretation and, eventually forecast. This bookis dedicated to the description of theoretical models, inversion techniques andtheir application to observational geodetic and geophysical data sets in activegeodynamic areas and affected by natural hazards. This book compiles part of the paperspresented at the 15th Annual conference of the InternationalAssociation for Mathematical Geosciences held in Madrid, Spainduring September 2-6, 2013. This conference had the special topic of "Mathematicsof the Planet Earth" emphasizing the recent importance of modelling in ourunderstanding of Geoscience problems. In this regard, the session XIII "Deformationmodelling, Geodynamics and Natural Hazards" served to discuss modelling andobservational works of structural and deformation processes (e.g., geodesy,seismology) relevant to the study of Geodynamics and Natural Hazards.