Non-linear growth models for tree species used for forest restoration in Brazilian Amazon Arc of Deforestation

M. Terra, Marcos Gabriel Braz de Lima, Juliano de Paulo dos Santos, N. G. Cordeiro, Kelly Marianne Guimarães Pereira, D. Dantas, N. Calegário, S. Botelho
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Abstract

The large amount of degraded areas and productive potential of the legal reserves in Brazil make restoration an environmental demand and a commercial opportunity. We modelled the diameter growth as a function of age of eight tree species in restoration plantations in the Brazilian Amazon. From 14 years of annual forest inventory data, for each species, we tested variations of logistic function: simple logistic, logistic with covariant (plant area at the time of planting), logistic with random effect, logistic with random effect and covariant. Amongst the studied species, Schizolobium parahyba var. amazonicum, Tectona grandis and Simarouba amara showed the highest growth rates while Cordia alliodora, Cedrela odorata and three species of the genus Handroanthus showed slower growth. The gains from using the covariant in modeling were small for both fixed and mixed-effect models. Gains from the inclusion of the random effect were substantial. Mixed-effect models had the best performance in modeling the growth of the species. Our results provide basis for a critical view of the criteria and possibilities for degraded areas restoration and management practices in legal reserves of the Amazon. An economic analysis is required to ensure the viability of these areas’ sustainable exploitation.
巴西亚马逊毁林弧森林恢复树种的非线性生长模型
巴西大量退化地区和法定保护区的生产潜力使恢复成为一种环境需求和商业机会。我们将巴西亚马逊地区恢复种植园中八种树木的直径生长建模为树龄的函数。从14年的年度森林清查数据中,我们对每个物种的logistic函数的变化进行了检验:简单logistic、具有协变量的logistic(种植时的植物面积)、具有随机效应的logistic、带有随机效应和协变量的logistic。在所研究的物种中,亚马逊Schizolobium parahyba var.amazonicum、Tectona grandis和Simarouba amara表现出最高的生长速率,而大蒜Cordia alliodora、雪松Cedrela odorata和Handroanthus属的三个物种表现出较慢的生长速率。对于固定效应和混合效应模型,在建模中使用协变量的收益都很小。纳入随机效应的收益是巨大的。混合效应模型在模拟物种生长方面表现最好。我们的研究结果为批判性地看待亚马逊法定保护区退化地区恢复和管理实践的标准和可能性提供了基础。需要进行经济分析,以确保这些地区可持续开发的可行性。
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