Estimación del dióxido de carbono (CO2) capturado por biomasa aérea de la mandarina “arrayana” mediante la relación: l-sistemas y ecuaciones diferenciales

Abstract

The present investigation, arises from the interest of knowing how with the study of natural phenomena from a mathematical and geometric perspective, a methodology can be designed to estimate the amount of CO2 captured by the aerial biomass of a mandarin plant "Arrayana" by relationship: L-systems and differential equations. The variables of the plant's L-system were identified to construct its growth pattern and apply the exponential growth model that calculates its number of branches and leaves with respect to the iterations developed by the plant. To estimate the time it takes for an “Arrayana” mandarin plant to develop an iteration, the iterations of fifteen plants of this species planted at the Santo Tomas University were recorded for 13 weeks, organized by age in three blocks that randomly received four treatments of fertilizer and a placebo. The CO2 capture of the plants was estimated by extrapolating a theoretical CO2 capture value of a 15-year-old tree with its number of branches and leaves. During the field work, the placebo plants did not generate iterations and the effects of the treatments were more evident in block B; however, the plants that received the same treatment, have different sizes because they grow at varied rates. It was estimated that an average plant takes 26.8 days to perform an iteration; of the plants studied, N ° 10 was the one that captured CO2 the most from germination to completion of data collection, with 156,800E-56gr of CO2; given that it was the plant that culminated with the highest number of iterations, branches and leaves. Finally, with the recorded data, a correlation matrix and a linear regression model were performed, which showed that iterations are the most relevant variable in CO2 capture.