Abstract

In the present article, we will describe some extensions of an agroforestry model that has been proposed and computationally implemented in [7]. Our generalizations consist of the inclusion of two additional species of tree, one culture, and a declaration of regeneration tours as variables definable by us as a parameter and the weight allocation by rentability of the treeless soil utilization as well as an exhaustive exploration of the different soil utilization scenarios in order to obtain the one who gives the best economic performance.

Highlights

  • The problem of forest regeneration in lands whose land use is shared between forest preservation, agri­ culture, or cattle grazing has been one of the great challenges of forest preservation

  • We are inspired by the work carried out by [7] where the problem of economic and sustainable optimization of pastures in the Andalusian region in southern Spain is studied. He proposes a model of eco­ nomic and agroforestry optimization where land use for grazing, agriculture, and sowing of oaks and cork oaks is combined

  • Based on the initial distribution of surfaces as well as non­negativity restrictions of the variables involved, a MATLAB linprog toolbox for linear optimization routine is called that produces the decisions that will be made at each time step, and this information feeds the dynamic model that describes the behavior over time of the system from the appli­ cation of the decisions calculated by the linear opti­ mizer mentioned above

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Summary

Introduction

The problem of forest regeneration in lands whose land use is shared between forest preservation, agri­ culture, or cattle grazing has been one of the great challenges of forest preservation. We are inspired by the work carried out by [7] where the problem of economic and sustainable optimization of pastures in the Andalusian region in southern Spain is studied In this article, he proposes a model of eco­ nomic and agroforestry optimization where land use for grazing, agriculture, and sowing of oaks and cork oaks is combined. This exhaustive test of the possible ini­ tial distributions can be costly in terms of calculation time, which we try to alleviate by means of a random sampling of the space of possible initial distributions of bare soil This model expands and refines [5] by allowing a more flexible framework for land use re­ placeability and tree species selection. That is what our contribution in this article consists of, which will be described of this work

Optimal management of forest systems based on environmental economic behavior
Age of the existing trees on the farm
Livestock activities directly affect the processes of natural regeneration
15. Different discount rates are considered
Current dynamics of European forest systems
Dynamic optimization
Optimal control Model description
Control vectors of our model
The state vector movement law of our model
The control variable constrains of our model
Control Optimization Objective function of our model
Our model control optimization
Matlab implementation of our model
Definition and representation of a scenario
Generation of the table of all possible scenarios
Sorting the table and selection of the best scenario
Results
State variables of David Martín Barroso model
Control vectors of David Martín
The state vector movement law of David
The control variable constrains of David
State Variables of our model first variation
Full Text
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