Introduction to Fisher Information: Its Origin, Uses, and Predictions

Frieden, B. Roy

doi:10.1007/978-1-84628-777-0_1

Cited by 8 publications

(5 citation statements)

References 15 publications

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“…coral reef collapse, loss of water quality) associated with regime shifts. Information theory‐based approaches offer great promise for such applications and are well suited for assessing a broad range of data and systems (Frieden ). Univariate methods of assessing ecosystems are limited when applied to real ecosystems, and while multivariate methods (e.g.…”

Section: Discussionmentioning

confidence: 99%

Managing for resilience: an information theory‐based approach to assessing ecosystems

Eason

Garmestani

Stow

et al. 2016

Journal of Applied Ecology

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Summary Ecosystems are complex and multivariate; hence, methods to assess the dynamics of ecosystems should have the capacity to evaluate multiple indicators simultaneously. Most research on identifying leading indicators of regime shifts has focused on univariate methods and simple models which have limited utility when evaluating real ecosystems, particularly because drivers are often unknown. We discuss some common univariate and multivariate approaches for detecting critical transitions in ecosystems and demonstrate their capabilities via case studies. Synthesis and applications. We illustrate the utility of an information theory‐based index for assessing ecosystem dynamics. Trends in this index also provide a sentinel of both abrupt and gradual transitions in ecosystems.

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Section: Discussionmentioning

confidence: 99%

Managing for resilience: an information theory‐based approach to assessing ecosystems

Eason

Garmestani

Stow

et al. 2016

Journal of Applied Ecology

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“…This dynamic interpretation of Fisher information (Frieden, 2007;Fath and Cabezas, 2004) implies that if the system is a constraint to small tangential velocities and acceleration, then in a specific measurement time range the system will occupy a small hyper-volume, which is interpreted as the system being stable.…”

Section: Stability Analysis Using Fisher Informationmentioning

confidence: 99%

ESD Ideas: planetary antifragility: a new dimension in the definition of the safe operating space for humanity

et al. 2022

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Abstract. Combining well-established non-equilibrium thermodynamic principles and a system dynamics approach, we define, for the first time, the concept of planetary antifragility as changes of Fisher information of Earth's entropy production. As a first approximation for entropy production, we propose using shortwave global albedo anomalies and provide a first quantitative example with data for the July months in the Northern Hemisphere from 1982 to 2010. These preliminary results show a net reduction of 47.63 % in albedo's Fisher information. This loss of antifragility implies a compounding problem because human perturbations such as climate or land-use changes are increasing, but at the same time, the planet is losing its capacity to respond to them. We discuss the concept of antifragility in the context of safe operating space for humanity and planetary boundaries. We conclude that not only does interaction among state variables of the boundaries matter, but more importantly the perturbation response capacity dimension is also missing. In conclusion we speculate on improving the operational definition for ecosystems.

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“…This dynamic interpretation of Fisher information (Frieden, 2007;Cabezas and Fath, 2002) implies that if the system is constraint to small tangential velocities and acceleration, then in a specific measurement time range the system will occupy a small hyper-volume which is interpreted as the system being stable.…”

Section: Stability Analysis Using Fisher Informationmentioning

confidence: 99%

ESD Ideas: Planetary Antifragility: A new dimension in the definition of the Safe Operating Space for Humanity

López-Corona

Kolb

2021

Preprint

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Abstract. The Safe Operating Space for Humanity is not fully characterized by the state values of Planetary Boundaries because not only does interaction among them matter, but more importantly the perturbation response capacity dimension is missing. We present a systems dynamics measure of this perturbation response capacity under the Antifragility framework. Here we define, for the first time, Planetary Antifragility as the changes of shortwave global albedo anomalies for the July months in the northern hemisphere from 1982 to 2010, which shows a net reduction of 47.63 %. This loss in Antifragility implies a compounding problem because human perturbations such as climate or land-use changes are increasing but at the same time, the planet is losing its capacity to respond to them.

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Introduction to Fisher Information: Its Origin, Uses, and Predictions

Cited by 8 publications

References 15 publications

Managing for resilience: an information theory‐based approach to assessing ecosystems

Managing for resilience: an information theory‐based approach to assessing ecosystems

ESD Ideas: planetary antifragility: a new dimension in the definition of the safe operating space for humanity

ESD Ideas: Planetary Antifragility: A new dimension in the definition of the Safe Operating Space for Humanity

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