Within the context of forest multifunctionality there is a great challenge for forest management policies and legislation to evolve from purely economic management to a management that considers also ecological and recreational values and social estate preservation associated with a forest. Because of this multifunctional aspect of the forest, it is important to integrate the socio-economic behaviour in forest management strategies as a part of the forest system. Focusing on two challenges facing society that forest management must address today, we use the viability theory, in order to establish the room for manoeuvre of a forest owner whose forest would provide both, timber production and biodiversity preservation services. These services have to be maintained despite low growth due to climate change.