Habitat amount and connectivity in forest planning models: Consequences for profitability and compensation schemes

2021 ◽  
Vol 283 ◽  
pp. 111982
Author(s):  
Andrey Lessa Derci Augustynczik
2007 ◽  
Vol 37 (10) ◽  
pp. 2010-2021 ◽  
Author(s):  
Samuel D. Pittman ◽  
B. Bruce Bare ◽  
David G. Briggs

Forest planning models have increased in size and complexity as planners address a growing array of economic, ecological, and societal issues. Hierarchical production models offer a means of better managing these large and complex models. Hierarchical production planning models decompose large models into a set of smaller linked models. For example, in this paper, a Lagrangian relaxation formulation and a modified Dantzig–Wolfe decomposition – column generation routine are used to solve a hierarchical forest planning model that maximizes the net present value of harvest incomes while recognizing specific geographical units that are subject to harvest flow and green-up constraints. This allows the planning model to consider forest-wide constraints such as harvest flow, as well as address separate subproblems for each contiguous management zone for which detailed spatial plans are computed. The approach taken in this paper is different from past approaches in forest hierarchical planning because we start with a single model and derive a hierarchical model that addresses integer subproblems using Dantzig–Wolfe decomposition. The decomposition approach is demonstrated by analyzing a set of randomly generated planning problems constructed from a large forest and land inventory data set.


2021 ◽  
Vol 8 (1) ◽  
Author(s):  
José M. González-González ◽  
Miguel E. Vázquez-Méndez ◽  
Ulises Diéguez-Aranda

Abstract Background Forest management planning involves deciding which silvicultural treatment should be applied to each stand and at what time to best meet the objectives established for the forest. For this, many mathematical formulations have been proposed, both within the linear and non-linear programming frameworks, in the latter case generally considering integer variables in a combinatorial manner. We present a novel approach for planning the management of forests comprising single-species, even-aged stands, using a continuous, multi-objective formulation (considering economic and even flow) which can be solved with gradient-type methods. Results The continuous formulation has proved robust in forest with different structures and different number of stands. The results obtained show a clear advantage of the gradient-type methods over heuristics to solve the problems, both in terms of computational time (efficiency) and in the solution obtained (effectiveness). Their improvement increases drastically with the dimension of the problem (number of stands). Conclusions It is advisable to rigorously analyze the mathematical properties of the objective functions involved in forest management planning models. The continuous bi-objective model proposed in this paper works with smooth enough functions and can be efficiently solved by using gradient-type techniques. The advantages of the new methodology are summarized as: it does not require to set management prescriptions in advance, it avoids the division of the planning horizon into periods, and it provides better solutions than the traditional combinatorial formulations. Additionally, the graphical display of trade-off information allows an a posteriori articulation of preferences in an intuitive way, therefore being a very interesting tool for the decision-making process in forest planning.


2013 ◽  
Vol 61 (4) ◽  
pp. 824-836 ◽  
Author(s):  
Rodolfo Carvajal ◽  
Miguel Constantino ◽  
Marcos Goycoolea ◽  
Juan Pablo Vielma ◽  
Andrés Weintraub

2021 ◽  
Author(s):  
José Mario González-González ◽  
Miguel Ernesto Vázquez-Méndez ◽  
Ulises Diéguez-Aranda

Abstract Background: Forest management planning involves deciding which silvicultural treatment should be applied to each stand and at what time to best meet the objectives established for the forest. For this, many mathematical formulations have been proposed, both within the linear and non-linear programming frameworks, in the latter case generally considering integer variables in a combinatorial manner. We present a novel approach for planning the management of forests comprising single-species, even-aged stands, using a continuous, multi-objective formulation (considering economic and even flow) which can be solved with gradient-type methods.Results: The continuous formulation has proved robust in forest with different structures and different number of stands. The results obtained show a clear advantage of the gradient-type methods over heuristics to solve the problems, both in terms of computational time (efficiency) and in the solution obtained (effectiveness): their improvement increases drastically with the dimension of the problem (number of stands). Conclusions: It is advisable to rigorously analyze the mathematical properties of the objective functions involved in forest management planning models. The continuous bi-objective model proposed in this paper works with smooth enough functions and can be efficiently solved by using gradient-type techniques, does not require to set management prescriptions in advance, and avoids the division of the planning horizon into periods, providing better solutions than the traditional combinatorial formulations. The graphical display of trade-off information allows a posteriori articulation of preferences in an intuitive way, therefore being a very interesting tool for the decision-making process in forest planning.


Author(s):  
P. V. D. dos Santos ◽  
A. Silva ◽  
A. Augustynczik ◽  
J. Arce

The application of operations research techniques has led to a substantial improvement in the economic and ecologic efficiency of forest management, both for planted and natural forests. Forest planning addresses problems in different hierarchical levels that involve specific planning horizons and formulation complexity. This study proposes an historical perspective on the development of forest planning models in the last five decades, with a focus on the operational level. The emergence of operations research applied to forest planning problems can be dated back to the 60’s, with an intensification of this line of research on the 80’s and 90’s, accompanying the fast development on the available computing power. In the 90’s, forest planning problems started to be classified according to hierarchical levels in strategic, tactical and operational. While the strategic and tactical levels address decisions on the long- and medium-term, the operational level deals with short-term decisions, typically involving harvesting machinery allocation and transportation of forest products. In this sense, the operational planning is characterized by a high level of complexity of the planning models and economic importance to forest management. We conclude that despite the increasing number of publications related to forest planning, the operational level remains underrepresented and efforts to integrate decisions across the different hierarchical levels of forest planning are required.


1995 ◽  
Vol 25 (9) ◽  
pp. 1416-1424 ◽  
Author(s):  
Alan T. Murray ◽  
Richard L. Church

This paper examines various structural representations of adjacency conditions in forest planning problems. It will be shown that alternative representations can rival traditional approaches, which is counter to much of the mathematical modeling and formulation literature. Analysis was conducted on a number of forest planning problems in order to draw some general conclusions on adjacency constraint representations. This is the first time that these structures have been compared in a comprehensive way. This paper provides insights into solution performance using different constraint structures and will help further the development of improved methodologies for analyzing environmental problems that must incorporate increased spatial detail.


Water Policy ◽  
2007 ◽  
Vol 9 (6) ◽  
pp. 631-643 ◽  
Author(s):  
Pete Bettinger ◽  
C. P. Holliday ◽  
M. Scott Threadgill ◽  
Carol A. Hyldahl

Forest planners provide decision makers with a wide array of information for making strategic decisions across broad landscapes. While wildlife and fisheries habitat concerns have strongly influenced the management of national forests over the past decade, the quantity and quality of water is now becoming one of the top priorities. Competition for downstream use of water and instream flows required to maintain or improve aquatic habitat conditions, suggest that the US Forest Service considers water yields to be an important measure of output from new forest plans. While significant research has been focused on the development of hydrologic models, the challenge is to now apply what has been learned to policy analysis. And when assessing a resource that moves across a landscape, a multi-ownership perspective may be needed. This paper describes the main aspects of water yield models and thoughts regarding the challenges planners and policy makers may face when integrating them with forest planning models.


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