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Copy-mutate processes for growth of bipartite networks: an application to cultural evolution Osame Kinouchi, Antônio Carlos Roque Adriano de Jesus Holanda.

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Presentation on theme: "Copy-mutate processes for growth of bipartite networks: an application to cultural evolution Osame Kinouchi, Antônio Carlos Roque Adriano de Jesus Holanda."— Presentation transcript:

1 Copy-mutate processes for growth of bipartite networks: an application to cultural evolution Osame Kinouchi, Antônio Carlos Roque Adriano de Jesus Holanda (FFCLRP-USP) Rosa Wanda Diez Garcia (FMRP) Pedro Zambianchi (Faculdade Bandeirantes)

2 Why culinary? Physicists like to explain and model interesting statistical patterns (power laws) New application of complex networks ideas Database relatively easy to construct Analogy to biological evolution: growth network algorithm Similar to other humans, physicists like to eat

3 Why cookbooks? Recipes = cultural replicators (memes) Recipes in standard algorithmic form Cookbooks provide judicious (non- random) selection of recipes

4 Ingredients and Recipes Bipartite network Recipes Ingredients

5 Cultural invariance

6 Temporal invariance

7 Complementary Cumulative Distribution

8 Recipe degree distribution

9 Copy-mutate model

10 Fitness selection fifi fjfj Substitute if f j > f i Fitness f i interval [0,1] Ingredient pool Recipe with K ingredients

11 Model results

12 Founder Effect

13 Founder Effect (II)

14 Fitness functions

15 Slow dynamics 1 F(t) = c t -

16 Conclusions Bipartite network of ingredients and recipes is scale free with non- trivial exponent 1.7 (out of range of generalized Yule process) Rank-frequency plot can be fitted by Darwinian copy-mutate process with ingredient fitness Model suggests presence of founder effect and slow (glassy) dynamics in cultural evolution

17 Acknowledgments: CNPq

18 Rank Entropy

19


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