Ecological Modelling 108 (1998) 145 – 153
Modelling the population dynamics of red deer (Cerus
elaphus L.) with regard to forest development
Vlado Stankovski
a,b
, Marko Debeljak
c,
*, Ivan Bratko
a
, Miha Adamic
c
a
Faculty of Computer and Information Science, Trz as ka 25, 1000 Ljubljana, Sloenia
b
Clinical Department of Traumatology, Uniersity Clinical Centre, Zaloska 2, SI -1000 Ljubljana, Sloenia
c
Biotechnical Faculty, Department of Forestry, Uniersity of Ljubljana, Vec na pot 83, 1000 Ljubljana, Sloenia
Accepted 17 March 1997
Abstract
Recent advances in artificial intelligence in general, and in machine learning in particular, enable scientists to apply
new machine learning technics to their specific areas. In our work we apply such a machine learning technique to the
modelling of population dynamics of red deer for the 40000 hectares co-natural manage forest area on high Karst of
Notranjska in Slovenia. We used the RETIS program, a machine learning tool developed by A. Karalie ` at the
Institute Joz ef Stefan in Ljubljana. This program induces regression trees from data, and has already been applied to
several ecological problems. RETIS was applied on data, collected in the period 1976 – 1994, which included several
meteorological parameters, parameters about the state of the forest, and parameters about the population of the red
deer. Given these data about the observed system, the system RETIS automatically induces a model which has the
form of a regression tree. We evaluate our induced models qualitatively and quantitatively. For the qualitative
evaluation, we present an expert interpretation of the models. We show that quantitatively, using the models (we use
a relative prediction error) and given the meteorological parameters during winter and summer and an estimate of the
number of red deer in the area, it is possible to predict the state of the forest in the near future. This is very important
for maintaining the balance between red deer population and other parameters of the forest, which will allow
sustainable development of the complex forest ecosystem. © 1998 Elsevier Science B.V. All rights reserved.
Keywords: Models; Artificial intelligence; Population dynamics; Red deer; Forest ecosystem; Sustainable management
1. Introduction
The survival of any species in any ecosystem
depends on many inter- and intra-specific rela-
tions and their interactions with the environment
* Corresponding author. Tel.: +386 611231161 ext. 536;
fax: +386 61271169; e-mail: marko.debeljak@uni-lj.si
0304-3800/98/$19.00 © 1998 Elsevier Science B.V. All rights reserved.
PII S0304-3800(98)00025-8