  A social-ecological network is a formal representation of a corresponding
social-ecological system, and encodes a relation within a given system as an
interaction. Conventionally, such networks have been defined as encoding and
representing pairwise interactions among the fundamental units of the system.
This work proposes a combinatorial definition of social-ecological network by
means of its structure as a simplicial complex. The proposed definition is a
comprehensive one that takes into account the heterogeneity of interactions
within a given SES, and the higher-order social-ecological network modelled
using this definition is able to represent the modelled SES by capturing all
orders of interactions within the system. Such a social-ecological network
consequently, is better equipped to capture and represent the structural
details of the real-world SES, and is thus capable of facilitating a deeper
insight into the complex behaviour of the represented SES emergent through the
higher-order interactions within the system, as compared to the conventional
graph-theoretic network that exclusively models pairwise interactions.
