updated some chapters. added readme etc.

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Prince Joseph Javier 2021-02-20 18:58:21 +08:00
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Model example of five-species resourceconsumerpredator
interaction. Resource, Consumer 1, Consumer 2, Predator 1, and
Predator 2 are represented by R, C1, C2, P1, and P2, respectively
"Empirical dynamic modeling for beginners", CW Chang, M Ushio, C Hsieh - Ecological Research, 2017 - Supplemental Data
(see Deyle et al. 2016 Proceedings of the Royal Society B 283:20152258)

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This csv file includes artificial time series of red noise and logistic map for the demonstration of simplex projection and S-map.
"Empirical dynamic modeling for beginners", CW Chang, M Ushio, C Hsieh - Ecological Research, 2017 - Supplemental Data

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## Introduction
In the previous chapters we talked about Simplex Projection, a forecasting technique that looks for similar trends in the past to forecast the future by computing for nearest neighbors on an embedding. In this chapter, we discuss Convergent Cross Mapping (CCM) also formulated by [Sugihara et al., 2012](https://science.sciencemag.org/content/338/6106/496) as a methodology that uses ideas from Simplex Projection to identify causality between variables in a complex dynamical system (e.g. ecosystem) using just time series data.
We will go through the key ideas of CCM, how it addresses the limitations of Granger causality, and the algorithm behind it. We will then test the CCM framework on simulated data where we will deliberately adjust the influence of one variable over the other. Finally, we will apply CCM on some real world data to infer the relationships between variables in a system.
### causal-ccm Package
`ccm_sugihara.ipynb` explains the CCM methodology in detail. If you wish to apply this in your own projects, install the framework using `pip install causal-ccm`. See `using_causal_ccm_package.ipynb` notebook for details how to use.

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