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Stohastični proces v gozdarstvu
Zadnik Stirn, Lidija
V vsaki periodi lahko spremembo gozda zaradi rasti in poseka popišemo kot transformacijo vektorja ▫$\vec{a}=(a_1,a_2,..., a_ k,...a_n)$▫ v vektor ▫$\vec{a}'=(a'_1,a'_2,...,a'_k,..., a'_n)$▫, kjer ...▫$a_k$▫ pomeni površino ▫$k$▫-tega starostnega razreda. Če je ▫$p(j,k)$▫ verjetnost, da v eni periodi ▫$j$▫ let star gozd preide v ▫$k$▫ let star gozd, je proces v gozdu definiran kot stohastični proces z matriko prehoda ▫$P=[p(j,k)]$▫. Pri predpostavki, da se matrika prehoda s časom ne spreminja, zaporedje vektorjev ▫$\vec{a},\vec{a}',\vec{a}'', ...$▫ konvergira k verktorju ▫$\vec{a}^0$▫, ki predstavlja normalno porazdelitev gozda po starostnih razredih. Med vsemi procesi, ki vodijo k ▫$\vec{a}^0$▫, pa iščemo optimalnega s pomočjo linearnega programiranja.
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