Competitive Exclusion and Axiomatic Set-Theory: De Morgan's Laws, Ecological Virtual Processes, Symmetries and Frozen Diversity.
Acta Biotheor
; 64(1): 85-98, 2016 Mar.
Article
en En
| MEDLINE
| ID: mdl-26801920
This work applies the competitive exclusion principle and the concept of potential competitors as simple axiomatic tools to generalized situations in ecology. These tools enable apparent competition and its dual counterpart to be explicitly evaluated in poorly understood ecological systems. Within this set-theory framework we explore theoretical symmetries and invariances, De Morgan's laws, frozen evolutionary diversity and virtual processes. In particular, we find that the exclusion principle compromises the geometrical growth of the number of species. By theoretical extending this principle, we can describe interspecific depredation in the dual case. This study also briefly considers the debated situation of intraspecific competition. The ecological consequences of our findings are discussed; particularly, the use of our framework to reinterpret coupled mathematical differential equations describing certain ecological processes.
Palabras clave
Texto completo:
1
Colección:
01-internacional
Base de datos:
MEDLINE
Asunto principal:
Biodiversidad
/
Ecología
/
Evolución Biológica
Tipo de estudio:
Prognostic_studies
Límite:
Humans
Idioma:
En
Revista:
Acta Biotheor
Año:
2016
Tipo del documento:
Article
País de afiliación:
Chile
Pais de publicación:
Países Bajos