Urban form and Urban-Agricultural Eco-Efficiency as an Indicator for Sustainable Urban Development in Huancayo Province, Peru

Abstract
Aims: The urban form of each district was estimated; the entry indicators and exit indicators of urban eco-efficiency; as well as the environmental costs and economic outcomes of agricultural eco-efficiency in the 28 districts of the Huancayo Province. Study design: Descriptive-Correlational. Place and duration of study: The research project lasted 1 year, the data collection of agricultural-urban eco-efficiency was carried out from January to December 2020 by district, as well as the delimitation of productive and non-productive agricultural areas. Methodology: The World Business Council for Sustainable Development eco-efficiency model developed by Data Envelopment Analysis (DEA) was used. To estimate the Urban Form, the Landsat 8 OLI/TIRS satellite image was used. For the Ecoeficiencia Urban-Agricultural data was collected by interviewing field and respective households using probability sampling, to estimate the polluting gases by province, the Sentinel-5P satellite image was used. Pearson's r coefficient and bilateral Student's t-test were used for the statistical analysis [26; 2.05]. Results: The Urban Form presents compactness ratio 0.27, shape ratio 0.21, elasticity ratio 5.47 and population density 753.09hab/km2. The Urban-Input indicators are urban water consumption 5889116.31ML/year electric energy consumption 2062019.23MW/year, food consumption 2664.56 ton/year. The Urban-Output indicators are emission of polluting gases 40335.11 ton/year, economic revenue 279.35PEN/year and wastewater discharge 90581.38ML/year. The Environmental Costs-Agricultural are water consumption for the agricultural sector 3348.34ML/year, fertilizer consumption 69.14 ton/year and phytosanitary consumption 46 ton/year. The Economic Outputs-Agricultural are agricultural production of 4779.79 kg/year, agricultural land rent 6390.3 PEN/year, gross value of production 4854.35 PEN/year. Agricultural Eco-efficiency [Eec-Ag]=0.89 and Urban Eco-efficiency [Eec-Ur]=0.98, ratio coefficient r=-0.13 and tc=0.64. Conclusion: The 28 districts of the province of Huancayo have an Eec-Ur [Urban Eco-efficiency] of 0.98 and Eec-Ag [Agricultural Eco-efficiency] of 0.89 where it maintains the added value while generating 98% and 89% of its environmental pressures. There is no statistically significant relationship between urban eco-efficiency and agricultural eco-efficiency.