Multi-objective forestry requires new decision support systems to aid
the forest owner and foresters in the planning of future treatment sch
edules. The analytic hierarchy process (AHP), based on pairwise compar
ison data and Saaty's eigenvector method, is one technique that has be
en proposed to make such qualitatively different objectives as income
from timber sales and scenic beauty of forest landscape commensurable.
A weak point of the methodology has been the lack of a statistical th
eory behind it. We have earlier shown how classical regression techniq
ues can be used to provide a statistical assessment of the uncertainty
of the estimated ratio-scales. In this paper we extend the results to
a multi-level decision hierarchy commonly used in forest planning, We
also provide a Bayesian extension of the regression technique. The ad
vantage of the Bayesian approach is that it provides summaries of expe
rt views that are easily understood by decision makers who may not hav
e extensive understanding of statistical concepts, On the basis of the
Bayesian analysis, one can calculate, for example, how likely it is t
hat (in the view of the expert) a given forest plan is better than any
other plan being compared.