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pttstability - MaRDI portal

pttstability (Q82204)

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Particle-Takens Stability
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pttstability
Particle-Takens Stability

    Statements

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    1.1
    9 January 2023
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    1.2
    22 October 2023
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    1.3
    24 October 2023
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    1.4
    9 January 2024
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    9 January 2024
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    Includes a collection of functions presented in "Measuring stability in ecological systems without static equilibria" by Clark et al. (2022) <doi:10.1002/ecs2.4328> in Ecosphere.These can be used to estimate the parameters of a stochastic state space model (i.e. a model wherea time series is observed with error). The goal of this package is to estimate the variabilityaround a deterministic process, both in terms of observation error - i.e. variability due toimperfect observations that does not influence system state - and in terms of process noise - i.e.stochastic variation in the actual state of the process. Unlike classical methods for estimatingvariability, this package does not necessarily assume that the deterministic state is fixed (i.e.a fixed-point equilibrium), meaning that variability around a dynamic trajectory can be estimated(e.g. stochastic fluctuations during predator-prey dynamics).
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