sustainability Article Anthropization and Growth of the Electricity Grid as Variables for the Analysis of Urban Infrastructure Manuel Ayala 1,* , Diego Huaraca 1, José Varela-Aldás 1 , Andrea Ordóñez 2 and Genís Riba 3 1 Centro de Investigación en Mecatrónica y Sistemas Interactivos, Universidad Tecnológica Indoamérica, Ambato 180107, Ecuador;
[email protected] (D.H.);
[email protected] (J.V.-A.) 2 Departamento de Arquitectura y Urbanismo, Universidad Técnica Particular de Loja, Loja CP 11-01-608, Ecuador;
[email protected] 3 Centro de Diseño de Equipos Industriales, Universitat Politècnica de Catalunya-Barcelona Tech, 08034 Barcelona, Spain;
[email protected] * Correspondence:
[email protected] Received: 18 December 2019; Accepted: 11 February 2020; Published: 17 February 2020 Abstract: City growth goes together with the development of infrastructure, and the power network is one of the most relevant towards economic development. The study of urban infrastructure through the analysis of anthropization coupled with power network growth can produce a tool that supports sustainable infrastructure planning, both economic and environmental. The case study focuses on Ambato, Ecuador, in the period from 1950 to 2019, and assesses quantitatively the changes in the city layout and the evolution of its power network. The data are adjusted to a sigmoid-type objective function through a non-linear least squares problem, that is solved using the Broyden–Fletcher–Goldfarb–Shanno (BFGS) method. Anthropization data show how the urban area grew during the study period: 37% (1950–1960), 53% (1960–1970), 80% (1970–1980), 35% (1980–1990), 39% (1990–2000), 38% (2000–2010), and 11% (2010–2019), mostly at the expense of agricultural land.