Optimizing forest road planning in a sustainable forest management area in the Brazilian Amazon.

The construction of forest roads in Brazilian Amazon is costly and has a significant environmental impact. Several practices and principles must be observed to comply with legislation, to preserve the remaining forest, and to ensure sustainable exploitation. Road planning is complex in this context, based on the number of aspects and variables that must be considered. This research aimed to evaluate computational methods' effectiveness in planning forest roads, optimizing resources to reduce damage to the remaining forest, compared to traditional planning methods. The study area was a native forest under a sustainable forest management regime located in municipalities of Terra Santa and Oriximiná, in Pará, in Brazilian Amazon. Data obtained from area made it possible formulate six instances of different sizes. A binary integer linear programming model was used, solved using CPLEX software, and Dijkstra, Bellman-Ford, Dial, and D'Esopo-Pape shortest path algorithm, implemented in C programming language. During processing of instances, the time taken to obtain the solution increased according to size of instance, however, time difference was not significant. Among the evaluated algorithms, the D'Esopo-Pape algorithm showed the best performance. The evaluated methods were effective in obtaining an optimal solution for proposed forest road planning. The solutions obtained using computational methods more effectively considered the restrictions associated with sustainable forest management, in contrast to those derived from the traditional planning by forestry company.

Metaheuristics applied for storage yards allocation in an Amazonian sustainable forest management area.

In the sustainable management of Amazonian forests, it is essential to carry out the optimal planning of logging infrastructures to reduce costs and environmental impacts. However, there is a high degree of complexity due to the number of variables involved. Among these infrastructures, wood storage yards are of utmost importance as they directly influence the opening of forest roads and trails. The objective of this research was to evaluate the allocation of wood storage yards through exact solution and metaheuristics in a forest management area. The study area was a native forest under sustainable forest management regime located in the Brazilian Amazon. Three instances were formulated involving 5947 trees and 3172 wood storage yards facilities. We used a binary integer programming model solved by CPLEX and the metaheuristics Greedy Randomized Adaptive Search Procedure (GRASP), Tabu Search (TS), Variable Neighborhood Search (VNS) and Simulated Annealing (SA). GAP values increased as a function of instances. Although all metaheuristics obtained significant solutions with shorter processing times, only SA obtained feasible solutions in all executions for all three instances. In general, the metaheuristics were efficient in obtaining feasible solutions faster than CPLEX, which represents the feasibility of the planning of allocation storage large areas, and without significant losses of best-known solution. The SA presented the best performance in the three evaluated instances. Contribution of this study can be highlighted: evaluation of alternative computational methods for planning the allocation of wooden storage yards; evidence was obtained of effectiveness and efficiency of assessed metaheuristics and, the applicability of approximate methods in this problem was evaluated.

Optimal selective logging regime and log landing location models: a case study in the Amazon forest / Regime de corte seletivo ótimo em modelos de locação de pátios de estocagem de madeira: um estudo de caso na floresta amazônica

ABSTRACT Reduced-impact logging is a well known practice applied in most sustainable forest management plans in the Amazon. Nevertheless, there are still ways to improve the operational planning process. Therefore, the aim of this study was to create an integer linear programming (ILP) to fill in the knowledge gaps in the decision support system of reduced impact logging explorations. The minimization of harvest tree distance to wood log landing was assessed. Forest structure aspects, income and wood production were set in the model, as well as the adjacency constraints. Data are from a dense ombrophylous forest in the western Brazilian Amazon. We applied the phytosociological analysis and BDq method to define the selective logging criteria. Then, ILP models were formulated to allow the application of the constraints. Finally, 32 scenarios (unbalanced forest, UF, and balanced forest, BF) were generated and compared with real executed plans (RE). Robust results were achieved and the expected finding of each scenario was met. The feasibility to integrate ILP models in uneven-aged forest management projects was endorsed. Consequently, the UF and BF scenarios tested were efficient and concise, introducing new advances for forest management plans in the Amazon. The proposed models have a high potential to improve the selective logging activities in the Amazon forest.

RESUMO A exploração de impacto reduzido é uma prática bem conhecida e aplicada na maioria dos planos de manejo florestal sustentável na Amazônia. Todavia, ainda há a possibilidade de melhoria do processo de planejamento da operação. Diante da falta de métodos auxiliares à tomada de decisão, o objetivo do trabalho foi desenvolver modelos de programação linear inteira (PLI) para suprir esta demanda. Considerou-se a minimização da distância entre as árvores exploradas e os pátios de estocagem de madeira. Aspectos estruturais, econômicos e produtivos foram incorporados ao modelo, bem como restrições de adjacência. Os dados derivam de uma floresta ombrófila densa na Amazônia Ocidental. Previamente, utilizou-se uma análise fitossociológica e o método BDq como critério de remoção. Posteriormente, modelos de PLI foram formulados para exemplificar as aplicações. Finalmente, 32 cenários (para floresta desbalaceada, UF, e floresta balanceada, BF) foram gerados e comparados com o plano executado no campo (RE). Resultados robustos foram obtidos e atenderam às expectativas de cada cenário. A viabilidade da integração dos modelos de PLI em projetos de manejo de florestas ineqüiâneas foi testado. Os cenários UF e BF testados foram eficientes e concisos, confirmando seu potencial para aumentar a eficiência de planos de exploração madeireira e manejo florestal na Amazônia.

Seleção de modelos polinomiais para representar o perfil e volume do fuste de Tectona grandis L. f / Selection of polynomial models to represent the profile and volume of the bole of Tectona grandis L. f

A precisão do volume de um povoamento florestal torna-se importante à medida que as empresas florestais integram verticalmente suas atividades e o resíduo da elaboração de um produto torna-se matéria-prima para outros. Os estudos realizados objetivaram avaliar a acurácia dos modelos polinomiais propostos por Schõepfer (1966), Hradetzky (1976) e Goulding & Murray (1976), na estimativa dos diâmetros e volumes ao longo do fuste de Tectona grandis L.f. de quatro povoamentos localizados na microrregião do Baixo Rio Acre e, ainda, testar a identidade do melhor modelo polinomial, avaliando-se a adequação de manter as áreas agrupadas ou segregá-las em grupos menores ou individualmente. A base de dados foi constituída de 159 árvores cubadas rigorosamente. Na avaliação da acurácia dos modelos foram empregadas estatísticas de desvio médio, desvio padrão das diferenças, soma dos quadrados dos resíduos relativos e resíduos percentuais. O modelo Goulding & Murray (1976) gerou as melhores estimativas de diâmetros e volumes ao longo do fuste, seguido pelos modelos Hradetzky (1976) e Schõepfer (1966). O teste de identidade de modelo mostrou ser mais adequado realizar ajustes independentes para as áreas 1 e 4 e para o subgrupo 2 e 3.

The precise estimate of the volume of a forest stand become important as forest enterprises integrate vertically their activities and the residue of the manufacture of a product becomes the raw material for the manufacture of other. The accomplished studies aimed to evaluate the accuracy of the polynomial models proposed by Schõepfer (1966), Hradetzky (1976) and Goulding & Murray (1976) in the estimate of the diameters and volumes along the bole of Tectona grandis L.f from four stands situated in the Baixo Rio Acre micro region and further, to test the identity of the best polynomial model by evaluating the adequacy of maintaining the grouped areas or segregate them into smaller groups or singly. The data base was made up of 159 trees scaled rigorously. In the evaluation of the accuracy of the models, the statistics of average deviation, standard deviation of differences, square summation of relative residue and percent residue. The Goulding & Murray (1976) model was generated the best estimates of diameters and volume along the bole, followed by the models of Hradetzky (1976) and Schõepfer (1966). The model identity test proved more adequate to perform independent fit for areas 1 and 4 and for subgroup 2 and 3.