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Expanding and exploring the Bak-Sneppen model written in Python 3+
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2 dimensions and 3 dimensions Bak-Snappen model, evaluation of the resulting model behaviour and effect of various parameters.
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By: [Hildebert Moulié](https://github.com/hildobby), [Philippe Nicolau](https://github.com/PNicolau96), [Louis Weyland](https://github.com/LouisWW) & [Binjie Zhou](https://github.com/binjiezhou).
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</p>
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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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![Fitness over time](https://github.com/hildobby/Complex_System/blob/master/src/figures/average_fitness_s%3D(20%2C%2020)_itr%3D2000_rep%3D10_std%3D0.3.png)
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### Impact of percentage of empty node
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![Avalanche for different percentages of empty node](https://github.com/hildobby/Complex_System/blob/master/src/figures/avalanche_empy_space_percentage_comparison.png)
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![Threshold for different percentages of empty node](https://github.com/hildobby/Complex_System/blob/master/src/figures/threshold_empy_space_percentage_comparison.png)
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<p float="left" class="center">
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<img src="https://github.com/hildobby/Complex_System/blob/master/src/figures/avalanche_empy_space_percentage_comparison.png" width="400" />
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<img src="https://github.com/hildobby/Complex_System/blob/master/src/figures/threshold_empy_space_percentage_comparison.png" width="400" />
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</p>
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### Cluster size distribution for different grid sizes
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```
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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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