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Nelson Fernández edited introduction_1.tex
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In recent years, the scientic study of complexity in ecological
systems, systems has increased the understanding of a broad range of
phenomena, phenomena such as
diversity, ecological richness, abundance, and hierarchical structure. As result different approximations
are developed were explored in focus to
find develop a
formal measure mathematical formalism to represent the ecological complexity as ecological indicator
(Parrot). (Parrot, 2005). The advantage of an complexity indicator in ecostytems is the posibility of relation with ecological integrity, diversity and/or resilience, for example. Relation with the spatial and temporal scales, with the structure and function as well are desired
(Parrot). (Parro, 2010).
Information Theory In spite of the valuable efforts in ecological modeling over the last decade to take into account the ecological interactions in much detail (Petrovskii and Petrovskay, 2012), more explorations are requiered to explain ecological dynamics in terms of complexity. A start point for complexity studies is considering that ecological systems exhibit properties like emergence, self-organization, and life. Lake dynamics generate novel information from the relevant interactions among components. Interactions determine the future of systems and its complex behavior. Novel information limits predictability, as
it is not included in initial or boundary conditions. It can be said that this novel information is emergent since it is not in the
base components, but produced by their interactions. Interactions can also be used by components to self-organize, i.e. produce a global pattern from local dynamics. Interactions are one the most important reason for
EC formulation. complexity generation. In addition, ecological systems are supported in two phenomenons related with the
In
spite of the valuable efforts carried out in order to understanding, clarigy and measuring complexity in ecological systemas, more explorations addition, there are
requiered. Boarding complexity aspects in ecology, it is important to consider that ecological systems exhibit two properties
like emergence, self-organization, and life. Lake dynamics generate novel information from the relevant interactions among components. Interactions determine the future of systems and its complex behavior. Novel information limits predictability, as it is not included in initial or boundary conditions. It can be said that
this novel information is emergent since it is not in support the
components, but produced by their interactions. Interactions can also be used by components above processes: homeostasis refers to
self-organize, i.e. produce a global pattern from local dynamics. Interactions are one regularity of states in the
most important reason for complexity generation. system and autopoiesis that reflects autonomy.
To support the formal description of complexity, self-organization and emergence information theory (Shannon, 19499) has been used in different ways, as it can see in Prokopenko et al (2009).
Considering that there are multiple ways to describe the state of an
ecosystem, in particular ecosystem and taking into account that the balance between change (chaos) and stability (order) states has been proposed as a characteristic of
complexity. Based on Information Theory, complexity (Langton,**; Kaufmann), we can say that more chaotic systems produce more information (emergence) and more stable systems are more
organized; thus organized. Thus we propose, based on Information Theory, that complexity can be defined as the balance between emergence and
self-organization. In addition, there are two properties that support the above processes: homeostasis refers self-organization (Gershenson & Fernández; Fernández et. al. 2015). This approach have been applied to
regularity of states ecological systems () with good results indicating that ecological dynamics can be described in
terms of information.
In the
system and autopoiesis that reflects autonomy. above context, we apply