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From Innovation to Diversification: A Simple Competitive Model.

Saracco F, Di Clemente R, Gabrielli A, Pietronero L - PLoS ONE (2015)

Bottom Line: In the present article, we propose a simple dynamical model where countries compete with each other to acquire the ability to produce and export new products.Countries will have two possibilities to expand their export: innovating, i.e. introducing new goods, namely new nodes in the product networks, or copying the productive process of others, i.e. occupying a node already present in the same network.In this way, the topology of the products network and the country-product matrix evolve simultaneously, driven by the countries push toward innovation.

View Article: PubMed Central - PubMed

Affiliation: Istituto dei Sistemi Complessi - ISC CNR UoS "Sapienza" Physics Department Università di Roma, P.le Aldo Moro 5, 00185, Rome, Italy.

ABSTRACT
Few attempts have been proposed in order to describe the statistical features and historical evolution of the export bipartite matrix countries/products. An important standpoint is the introduction of a products network, namely a hierarchical forest of products that models the formation and the evolution of commodities. In the present article, we propose a simple dynamical model where countries compete with each other to acquire the ability to produce and export new products. Countries will have two possibilities to expand their export: innovating, i.e. introducing new goods, namely new nodes in the product networks, or copying the productive process of others, i.e. occupying a node already present in the same network. In this way, the topology of the products network and the country-product matrix evolve simultaneously, driven by the countries push toward innovation.

No MeSH data available.


The density evolution for the dataset [25, 26].It is possible to observe the density increasing until a certain value ρcr ∼ 0.13 for the year ∼1975; our model follows a similar behaviour, limiting the evolution to the export of existing products once the number of nodes in the products network reaches the number of observed products in the real network.
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pone.0140420.g002: The density evolution for the dataset [25, 26].It is possible to observe the density increasing until a certain value ρcr ∼ 0.13 for the year ∼1975; our model follows a similar behaviour, limiting the evolution to the export of existing products once the number of nodes in the products network reaches the number of observed products in the real network.

Mentions: For all the simulated values of the parameters once the number of products introduced in the network reaches the same number of the observed bipartite network, the density of links is however smaller than the observed one. Consequently starting from this time-step we will set k0 = 0 in order to prevent the creation of new products and permit only the introduction of novelties increasing in this way the density of bipartite network. We stop the iteration of the algorithm when the density of the country-product bipartite network saturates to the observed one is ρcr ≃ 0.13. Interestingly we observed that a similar behaviour is shown by real data as illustrated by Fig 2. In this figure we can appreciate that the density of the bipartite network increases from year to year up to 1975 and then saturate to an approximate constant values. One possible explanation of this phenomenon is probably the fact that products categories of Sitc Rev.2 have been formalized in 1980 and data for the years before 1980 have been converted to the Sitc Rev. 2 by the Sitc Rev.1 and some data may have been lost in merging the datasets.


From Innovation to Diversification: A Simple Competitive Model.

Saracco F, Di Clemente R, Gabrielli A, Pietronero L - PLoS ONE (2015)

The density evolution for the dataset [25, 26].It is possible to observe the density increasing until a certain value ρcr ∼ 0.13 for the year ∼1975; our model follows a similar behaviour, limiting the evolution to the export of existing products once the number of nodes in the products network reaches the number of observed products in the real network.
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4636243&req=5

pone.0140420.g002: The density evolution for the dataset [25, 26].It is possible to observe the density increasing until a certain value ρcr ∼ 0.13 for the year ∼1975; our model follows a similar behaviour, limiting the evolution to the export of existing products once the number of nodes in the products network reaches the number of observed products in the real network.
Mentions: For all the simulated values of the parameters once the number of products introduced in the network reaches the same number of the observed bipartite network, the density of links is however smaller than the observed one. Consequently starting from this time-step we will set k0 = 0 in order to prevent the creation of new products and permit only the introduction of novelties increasing in this way the density of bipartite network. We stop the iteration of the algorithm when the density of the country-product bipartite network saturates to the observed one is ρcr ≃ 0.13. Interestingly we observed that a similar behaviour is shown by real data as illustrated by Fig 2. In this figure we can appreciate that the density of the bipartite network increases from year to year up to 1975 and then saturate to an approximate constant values. One possible explanation of this phenomenon is probably the fact that products categories of Sitc Rev.2 have been formalized in 1980 and data for the years before 1980 have been converted to the Sitc Rev. 2 by the Sitc Rev.1 and some data may have been lost in merging the datasets.

Bottom Line: In the present article, we propose a simple dynamical model where countries compete with each other to acquire the ability to produce and export new products.Countries will have two possibilities to expand their export: innovating, i.e. introducing new goods, namely new nodes in the product networks, or copying the productive process of others, i.e. occupying a node already present in the same network.In this way, the topology of the products network and the country-product matrix evolve simultaneously, driven by the countries push toward innovation.

View Article: PubMed Central - PubMed

Affiliation: Istituto dei Sistemi Complessi - ISC CNR UoS "Sapienza" Physics Department Università di Roma, P.le Aldo Moro 5, 00185, Rome, Italy.

ABSTRACT
Few attempts have been proposed in order to describe the statistical features and historical evolution of the export bipartite matrix countries/products. An important standpoint is the introduction of a products network, namely a hierarchical forest of products that models the formation and the evolution of commodities. In the present article, we propose a simple dynamical model where countries compete with each other to acquire the ability to produce and export new products. Countries will have two possibilities to expand their export: innovating, i.e. introducing new goods, namely new nodes in the product networks, or copying the productive process of others, i.e. occupying a node already present in the same network. In this way, the topology of the products network and the country-product matrix evolve simultaneously, driven by the countries push toward innovation.

No MeSH data available.