Abstract

RAMOS ARAUJO, Cristina  and  GUERRERO HIDALGO, Hitler. Application of fractional calculus to a series of temperatures of the Andean zone. Perfiles [online]. 2020, vol.1, n.24, pp.54-61. ISSN 2477-9105.  https://doi.org/10.47187/perf.v1i24.79.

Data analysis is an approach to understand phenomena with complex dynamics. Multidimensional Scaling allows the visualization of systems behavior and also captures its space-time evolution. While fractional calculation, applied through Fractional State Space Portrait permits to identify clusters in data groups, including meteorological variables such as temperature. Aimed at this, the mutually multivariate information has been used to find the optimal derivative order that has resulted in an improved revealing of the dynamic temperature system in 11 meteorological stations in the province of Chimborazo during 2015. On the map of the State Space Fractional Portrait two large clusters that represent the two typical seasons of an equatorial tropical climate can be identified. Such clusters are strongly influenced by the numerous microclimates present in this heterogeneous territory.

Keywords : Multidimensional Scaling; Fractional State Space Portrait; Chimborazo.

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