Lagrangians of Multiannual Growth Systems

Autor: Petri P. Kärenlampi
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Foundations, Vol 3, Iss 1, Pp 115-126 (2023)
Druh dokumentu: article
ISSN: 2673-9321
DOI: 10.3390/foundations3010011
Popis: Multiannual growth systems are modeled in generic terms and investigated using partial derivatives and Lagrange multipliers. Grown stock density and temperature sum are used as independent variables. Estate capitalization increases continuously with grown stock and temperature sum, whereas capital return rate and gross profit rate reach a maximum with respect to grown stock. As two restrictions are applied simultaneously, the results mostly but not always follow intuition. The derivative of capital return rate with respect to gross profit rate is positive, and negative with respect to capitalization. The derivative of capitalization with respect to capital return rate shows some positive values, as well as that with respect to gross profit rate. The derivative of the gross profit rate is positive with respect to both capitalization and capital return rate. The results indicate a variety of alternative strategies, which may or may not be multiobjective.
Databáze: Directory of Open Access Journals