Abstract

We evaluated the potential of simulated annealing as a reliable method for optimizing thinning rates for single even-aged stands. Four types of yield models were used as benchmark models to examine the algorithm’s versatility. Thinning rate, which was constrained to 0–50% every 5 years at stand ages of 10–45 years, was optimized to maximize the net present value for one fixed rotation term (50 years). The best parameters for the simulated annealing were chosen from 113patterns, using the mean of the net present value from 39 runs to ensure the best performance. We compared the solutions with those from coarse full enumeration to evaluate the method’s reliability and with 39 runs of random search to evaluate its efficiency. In contrast to random search, the best run of simulated annealing for each of the four yield models resulted in a better solution than coarse full enumeration. However, variations in the objective function for two yield models obtained with simulated annealing were significantly larger than those of random search. In conclusion, simulated annealing with optimized parameters is more efficient for optimizing thinning rates than random search. However, it is necessary to execute multiple runs to obtain reliable solutions.

Highlights

  • Optimizing the thinning rate for single stands is a fundamental problem in improving the economy of forest management

  • We evaluate the potential performance of SA in optimizing thinning rates for single even-aged stands, using plural yield models based on stand density management diagram (SDMD)

  • The Ns trajectory of the best runs of each yield model was almost identical to that of the respective coarse FE (CFE). These results suggest that SA can provide an approximate global optimum for similar yield models to those used in this study, if the parameters are optimized and the best solution is chosen from multiple runs

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Summary

Introduction

Optimizing the thinning rate for single stands is a fundamental problem in improving the economy of forest management. 65.4% of private forest owners in Nagano Prefecture own areas < 1 ha in extent, and 90.6% own areas smaller than 5 ha [1]. They have little leeway in performing spatial optimization, and it is important to optimize the thinning rates applied to single stands to improve profitability. Recent developments in computing enable rapid quantitative optimization with no experimental knowledge. Approaches that reduce the computing costs are required. DP and NP have been widely used and have been further developed based on comparison with each other

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