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1. Bring the 1 dimension Bak-Snappen model to 2 dimensions and 3 dimensions
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2. Evaluate different results from the model:
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* Avalanche time and compare it between several models
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* Mutation distance
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* Cluster sizes
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* Evolutionary time
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3. Test the data with the [powerlaw](https://pypi.org/project/powerlaw/) package
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## Overview of some of the results
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### Fitness over time
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_itr%3D2000_rep%3D10_std%3D0.3.png)
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### Impact of percentage of empty node
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### Cluster size distribution for different grid sizes
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## Working with the repository
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Gathering the required packages
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```
@@ -21,27 +49,9 @@ Generating the presentation from the `results_presentation.ipynb` Jupyter notebo
An overview of the results can also be found in [the Jupyter notebook file](https://github.com/hildobby/Complex_System/blob/master/results_overview.ipynb) named `results_overview.ipynb`.
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## Project Plan
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1. Bring the 1 dimension Bak-Snappen model to 2 dimensions and 3 dimensions
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2. Evaluate different results from the model:
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* Avalanche time and compare it between several models
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* Mutation distance (Check if power still applies here)
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* Cluster sizes
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* Evolutionary time
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3. Test the data withe the [powerlaw](https://pypi.org/project/powerlaw/) package
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## An overview of some of the results
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## References
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* Alstott, J., Bullmore, E., & Plenz, D. (2014). powerlaw: a Python package for analysis of heavy-tailed distributions. PloS one, 9(1), e85777.
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* Bak, P., & Sneppen, K. (1993). Punctuated equilibrium and criticality in a simple model of evolution. Physical review letters, 71(24), 4083.
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* Fraiman, D. (2018). Bak-Sneppen model: Local equilibrium and critical value. Physical Review E, 97(4), 042123.
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* Paczuski, M., Maslov, S., & Bak, P. (1996). Avalanche dynamics in evolution, growth, and depinning models. Physical Review E, 53(1), 414.
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* Alstott, J., Bullmore, E., & Plenz, D. (2014). powerlaw: a Python package for analysis of heavy-tailed distributions. PloS one, 9(1), e85777.
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