Abstract
The aim of this study was to model the individual height and volume of eucalyptus wood in two integrated crop-livestock-forest systems (ICLF1 and ICLF2) in Campo Grande, a city in the state of Mato Grosso do Sul, Brazil. Classic nonlinear growth models were adjusted for height (Logistic, Gompertz, Richards, Weibull, Van Bertalanffy, Brody, Mitscherlich, and Chapman and Richards) and volume (Shumacher-hall nonlinear, Takata, Honner, Logistic, Gompertz, and Weibull) in two structural arrangements: ICLF1, with a spacing of 14 x 2 m and density of 357 trees ha-1, and ICLF2, with a spacing of 22 x 2 m and density of 227 trees ha-1. Diameter at Breast Height (DBH) measurements were performed in 100% of trees, with measurements of the total height of some individuals and a rigorous scaling procedure in diameter classes. According to the calculated value of Student's t-test, there was no significant evidence that DBH and the average height of the trees were different between ICLF1 and ICLF2. Based on the Akaike information criterion (AIC), the corrected Akaike information criterion (AICC) and the Bayesian information criterion (BIC), the Richards model was selected to estimate heights and the Takata model was selected to estimate the volume.
Highlights
24 billion tons of fertile soils become useless annually, especially as a result of adopting agricultural systems that do not include soil conservation techniques (Heinrich-Böll-Stiftung, 2015)
The experiment was conducted at Embrapa Gado de Corte in Campo Grande, a city of the state of Mato Grosso do Sul in the southwest of the Cerrado biome, with geographical coordinates of 20o27’ S and 54o47’ W at 530-m altitude in the watershed of the Piraputanga River
The treatments consisted of two spatial arrangements of eucalyptus in two Integrated crop-livestock-forest systems (ICLFs) systems
Summary
24 billion tons of fertile soils become useless annually, especially as a result of adopting agricultural systems that do not include soil conservation techniques (Heinrich-Böll-Stiftung, 2015). Integrated crop-livestock-forest systems (ICLFs) are presented as an alternative to those models because they integrate forestry and agricultural activities in the same area (Machado, Madari, & Balbino, 2010). The State of Mato Grosso do Sul, located in the Cerrado biome (Brazilian Savannah), has an estimated area of 500 thousand hectares of ICLFs in addition to the traditional vocation of livestock farming (Wruck, Behling, & Antonio, 2015). A tree is a dynamic biological organism that is constantly changing. This change is affected by the genetic capability of the species and its interactions with the environment, which vary according to age, the production capacity of the location, the degree of use of the productive potential and the silvicultural treatments applied (Campos & Leite, 2013). It is necessary to measure that change over the years using different techniques and methodologies, among which mathematical modelling can be highlighted as having played a very important role in forest management
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