Brito, Heitor Cardoso de, Tarrillo, Carlos Alberto Mirez, Brito, Alexandre Faissal, Rodrigues, Jairo Lisboa, Silva, Willerson Custodio da, Can?as, Silvia Swain, and Universidade Federal dos Vales do Jequitinhonha e Mucuri (UFVJM)
Submitted by Graziela Lopes da Costa (graziela.costa@ufvjm.edu.br) on 2019-05-14T19:06:16Z No. of bitstreams: 4 license_rdf: 9 bytes, checksum: 42dd12a06de379d3ffa39b67dc9c7aff (MD5) license_rdf: 9 bytes, checksum: 42dd12a06de379d3ffa39b67dc9c7aff (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) heitor_cardoso_de_brito.pdf: 3705961 bytes, checksum: ec74ed1d3c2edae51399e1fc65eb74a0 (MD5) Approved for entry into archive by Rodrigo Martins Cruz (rodrigo.cruz@ufvjm.edu.br) on 2019-05-20T18:41:25Z (GMT) No. of bitstreams: 5 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) license_rdf: 9 bytes, checksum: 42dd12a06de379d3ffa39b67dc9c7aff (MD5) license_rdf: 9 bytes, checksum: 42dd12a06de379d3ffa39b67dc9c7aff (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) heitor_cardoso_de_brito.pdf: 3705961 bytes, checksum: ec74ed1d3c2edae51399e1fc65eb74a0 (MD5) Made available in DSpace on 2019-05-20T18:41:25Z (GMT). No. of bitstreams: 5 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) license_rdf: 9 bytes, checksum: 42dd12a06de379d3ffa39b67dc9c7aff (MD5) license_rdf: 9 bytes, checksum: 42dd12a06de379d3ffa39b67dc9c7aff (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) heitor_cardoso_de_brito.pdf: 3705961 bytes, checksum: ec74ed1d3c2edae51399e1fc65eb74a0 (MD5) Previous issue date: 2019 O presente trabalho busca explicar, com base na implementa??o de um modelo matem?tico de equa??es diferenciais, a evolu??o temporal das concentra??es do g?s di?xido de carbono atmosf?rico (CO2) a curto e longo prazos, partindo de hip?teses sobre as emiss?es do referido g?s, seu consumo atrav?s da fotoss?ntese de plantas e de dados sobre a taxa de crescimento e de mortalidade vegetal. H? um vasto referencial liter?rio que registra os malef?cios causados pelo aumento da concentra??o dos n?veis de CO2: um deles ? o aquecimento global; outro, menos conhecido, relaciona-se com a fisiologia vegetal. Para esta ?ltima, a maior intensidade de g?s carb?nico na atmosfera pode influenciar na redu??o da taxa de fotoss?ntese l?quida das plantas. O sistema de equa??es matem?ticas utilizado ? proveniente do modelo de Lotka-Volterra, tamb?m conhecido como predador-presa; o arqu?tipo aqui utilizado considera que os vegetais s?o os predadores do CO2. A coleta de dados envolveu a obten??o de informa??es hist?ricas (outubro de 2013 a outubro de 2017) dos ?ndices de mon?xido de carbono atmosf?rico provenientes de tr?s esta??es autom?ticas de monitoramento de qualidade do ar instaladas nos bairros Bom Retiro, Cariru e Cidade Nobre, na cidade de Ipatinga/MG, Brasil. Constatou-se, com um n?vel de 5% de signific?ncia e p-value de 0.579, que os valores de COatm coletados semanalmente nas tr?s esta??es podem seguir a curva Normal de distribui??o com capta??o de 213.000 ? 41.000 ppm semanais. J? em rela??o ao modelo matem?tico de Lotka-Volterra, de posse das popula??es iniciais das presas e dos predadores e do c?lculo das taxas de natalidade e mortalidade de ambos, concluiu-se que a experi?ncia se aderiu perfeitamente ao modelo de equa??es diferenciais n?o linear, com pontos de equil?brio de 2.177 ppm de CO2 e 5.329 ?rvores adultas, e ciclos de 2.057 anos. Constatou-se tamb?m que h? um d?ficit de 405 vegetais em rela??o ao n?mero de ?rvores plantadas no ano de 2017. ? importante ressaltar que a regi?o do Vale do A?o, da qual a cidade de Ipatinga faz parte, abriga grandes ind?strias de base (sider?rgicas), de bens de capital (m?quinas, metal?rgicas e equipamentos) e de consumo (ind?strias aliment?cias, papel etc.). O intuito desse trabalho ? mostrar que existem meios para se calcular a quantidade certa de vegetais para mitigar ou at? mesmo eliminar o volume de CO2 produzido pela a??o humana nas cidades. Disserta??o (Mestrado Profissional) ? Programa de P?s-Gradua??o em Tecnologia, Ambiente e Sociedade, Universidade Federal dos Vales do Jequitinhonha e Mucuri, 2019. Based on the implementation of a mathematical model of differential equations, the present work seeks to explain the temporal evolution of atmospheric carbon dioxide (CO 2) concentrations in the short and long term, based on hypotheses about the emissions of this gas, its consumption through photosynthesis of vegetables and data of growth rate and plant mortality. There is a vast literary framework that records the harms caused by the increased concentration of CO2 levels: one is global warming; another, less known, is related to plant physiology. For the latter, the higher intensity of carbon dioxide in the atmosphere may influence the reduction of the net photosynthesis rate of the plants. The mathematical equations system used comes from the Lotka-Volterra model, also known as predator-prey; the archetype used here considers that vegetables are the CO2 predators. The data collection involved the acquisition of historical information (october/2013 to october/2017) of the atmospheric carbon monoxide indices from three automatic air quality monitoring stations installed in the Bom Retiro, Cariru and Cidade Nobre neighborhoods, in the city of Ipatinga/MG, Brasil. It was found at a level of 5% significance and p-value of 0.579, that the COatm values collected at the three stations can follow the Normal distribution curve with capture of 213,000 ? 41,000 ppm weekly. In relation to the Lotka-Volterra's mathematical model, with the initial populations of prey and predators and calculating of birth and death rates of both, it was concluded that the experiment adhered perfectly to the model of nonlinear differential equations, with equilibrium points of 2,177 ppm CO2 and 5,329 adult trees and cycles of 2,057 years.It was also observed that there is a deficit of 405 plants in relation to the number of trees planted in the year 2017. It is important to point out that the 'Vale do A?o' region, in which the Ipatinga's city forms part, shelters large basic industries (steel mills), industrials sector (machinery, metallurgical and equipment) and consumption (food industries, paper etc.). The aim of this work is to show that there are ways to calculate the right amount of vegetables to mitigate or even eliminate the amount of CO2 produced by human action in cities.