Coastal zones are very dynamic and fragile environments, constituting a landscape ever more heterogeneous, fragmented and with increasing levels of complexity due to the changing relationship between man and nature. Integrated coastal zone management therefore requires detailed knowledge of the system and its components, based-to a large extent-on technical and scientific information. However, the information generated must be in line with the political requirements necessary for decision-making and planning. Thus the use of indicators to give a simplified view of the many components of the territory, and at the same time to provide important information about patterns or trends, becomes a tool of the utmost importance. These indicators can be understood as measurable characteristics of the environment, which facilitate comprehension of the processes occurring at different scales and serve as a reference to inform the population and support decision-making. The aim of the present note is to demonstrate briefly the need to develop geographical-environmental and natural risk indicators to facilitate comprehension of the dynamic of spatial and temporal landscape patterns, particularly in coastal environments. This approach offers an historical summary of the natural, socio-economic and political processes which currently make up the territory, and which without doubt will continue to influence it in the future. At the same time, it is proposed that information should be integrated on the basis of this framework with a view to generating spatial decision support systems in a context of planning and integrated management of the coastal zones of Chile.
While it is widely known that socio-cultural transformations have a spatial impact on geographical areas, limited attention has been paid to mapping such transformations. This paper aims to explore how historical maps of land-use changes can be excellent tools for this purpose. The Lafkenmapu area in Chile, which has undergone critical socio-cultural transformations over the last five centuries, served as a case study. A total of five historical periods were described and translated into land-use change maps (pre-Hispanic; colonial; post-colonial; state consolidation; present). Non-cartographic (e.g. historical chronicles and publications) and cartographic sources (historical maps, aerial photography and satellite images) were integrated for each period to create a timeline map. Finally, some concluding remarks discuss the added value of the maps as a tool for a better understanding of the impact of socio-cultural transformations on land use and population distribution.
In Fortes (2001), we introduced a notion of order for associative pairs and we obtained a Goldie-like characterization of left orders in a semiprime pair coinciding with its socle. In this paper, we take up again that notion of order to establish a Faith-Utumi theorem, which studies left orders in a prime pair coinciding with its socle.
In this paper we generalize the notion of Fountain-Gould order to the context of associative pairs. We give theorems about the existence and uniqueness of the left quotient pair and we obtain a Goldie-like characterization which describes left orders in semiprime pairs coinciding with their socle.
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