The population decline of small villages is a very serious problem for our society. This situation is not easy to reverse. The challenge is to generate consensus among the inhabitants of small villages to develop projects that have both a link with social and cultural heritage and the aid of the regional and local authorities. This framework can be successful when it also has the capability to provide new lines of development growing from this initial seed that can attract new inhabitants. In this paper, we present research that follows these requirements. Our proposal is based on a traditional agriculture resource, which is the art of building dry stone walls. We study the case of Tàrbena (642 inhabitants in the province of Alicante, Spain). Stone artifacts are recovered: some of them are still useful for agriculture, and others are cataloged and transformed into a product for cultural tourism. This project is expected to develop local, manual, and specialized work through the development of workshops, crafts, and small businesses. This will provide more income for the municipality and the private sector and more opportunities to attract new inhabitants.
The chess game provides a very rich experience in neighborhood types. The chess pieces have vertical, horizontal, diagonal, up/down or combined movements on one or many squares of the chess. These movements can associate with neighborhoods. Our work aims to set a behavioral approximation between calculations carried out by means of traditional computation tools such as ordinary differential equations (ODEs) and the evolution of the value of the cells caused by the chess game moves. Our proposal is based on a grid. The cells' value changes as time pass depending on both their neighborhood and an update rule. This framework succeeds in applying real data matching in the cases of the ODEs used in compartmental models of disease expansion, such as the well-known Susceptible-Infected Recovered (SIR) model and its derivatives, as well as in the case of population dynamics in competition for resources, depicted by the Lotke-Volterra model.
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