Difference between revisions of "Virtual society:model"

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== Basic Virtual Society ==
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== Basic Virtual Society and its development ==
  
 
We first define a basic virtual society (BVS) as a set of populated and geo-referenced (located) households. Populated means that the households comprise the whole population of the country with its age and gender distributions in each voivodeship (data obtained from NCB). In other words, every individual from a population, described by its age and gender, is assigned to a particular household. Also, each household in the BVS has a geographic location assigned to it, or in other words, it is located. A schematic workflow for the generation of a basic virtual society is presented in Figure 1.
 
We first define a basic virtual society (BVS) as a set of populated and geo-referenced (located) households. Populated means that the households comprise the whole population of the country with its age and gender distributions in each voivodeship (data obtained from NCB). In other words, every individual from a population, described by its age and gender, is assigned to a particular household. Also, each household in the BVS has a geographic location assigned to it, or in other words, it is located. A schematic workflow for the generation of a basic virtual society is presented in Figure 1.
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First, agents were divided into men and women and subdivided into 16 smaller populations appropriate for polish voivodeships. Then, for each gender and each voivodeship, agents were simply divided into age groups according to age distribution of the given gender in the given voivodeship (these data were acquired from Polish NCB). Subsequently, agents were distributed among households separately in each voivodeship.TO BE CHECKED!!!.  
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First, agents were divided into men and women and subdivided into 16 smaller populations appropriate for polish voivodeships. Then, for each gender and each voivodeship, agents were simply divided into age groups according to age distribution of the given gender in the given voivodeship (these data were acquired from Polish NCB). Subsequently, agents were distributed among households separately in each voivodeship.<font color="red">'''TO BE CHECKED!!!'''</font>.  
Second, the size of household was chosen randomly from the distribution of household sizes in Poland (data taken from NCB).TO BE CHECKED!!!  
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Second, the size of household was chosen randomly from the distribution of household sizes in Poland (data taken from NCB).<font color="red">'''TO BE CHECKED!!!'''</font>
  
  
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=== Allocation of agents to schools and workplaces ===
 
=== Allocation of agents to schools and workplaces ===
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==== ''Primary and secondary schools'' ====
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Primary and secondary education level, dedicated for children 7-12 and 13-15 years old, respectively, is compulsory in Poland, thus schools at these levels are quite abundant in Poland (see Table 3 in [[Virtual_society:data | Data]]). In order to locate these types of schools, a LandScan density map was used as a weight matrix for a stochastic distribution. The total number of the schools in each commune were taken from NCB. The assignment of pupils to the schools was based on the age of an individual and on the distance from his/her household to the nearest educational unit. Agent of a primary or secondary school age was assigned to a randomly selected appropriate school within a distance radius of 7 km from his household location. If there was no appropriate school within such a radius, a given pupil was assigned to the nearest school located beyond that radius.
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==== ''Colleges'' ====
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Due to the fact that the education on the college level is not compulsory in Poland, there are significantly less colleges than lower level schools (see Table 3 in [[Virtual_society:data | Data]]). Consequently, there are communes without any college. Thus the poviat region was selected as a basic regional unit. The following procedure was than used to assign pupils to colleges. First, each college was populated with 2/3 of college-aged agents from its surrounding area of 30km radius. Then, the rest 1/3 of these college-aged agents from this area were assigned to the nearest college within their poviat. One should note, that the LandScan data refer to the actual population density data, so e.g. LandScan considers pupils living in dormitories, whereas in the NCB database used here each pupil is a part of a separate household.
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==== ''Workplaces'' ====
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The probability of the assignment of the workplace to a given node is related to the population density. The number of the workplaces in each voivodeship were obtained from the NCB. The maximum single workplace size in Poland is 2992, mean workplace size is about 10 individuals and mean distance between worker household and workplace is 10.2 km. The discrepancy between the number of workplaces and the population in a given region gives the natural effect of a daily commutation to the large agglomerations.
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<font color="red">'''(HOW WERE AGENTS ASSIGNED? 10.2km is from NCB or from the model??)'''</font>
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== Location of Rescue Service Units (RSU) - possible application of the virtual society model ==
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The location of the Rescue Service Units (RSU), does not pertain to a reconstruction of a real social topology process, but constitutes an attempt to construct an efficient tool for a predictive analysis of a relation between household locations and assumed topography of any rescue service systems. The RSUs are generalized, and can be substituted by any type of rescue services: voluntary fire brigades, medical services, epidemiological rescue units, etc.
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The distribution of the RSUs was performed for each commune separately. Starting from one RSU, up to twenty RSUs were placed one by one in each commune. The probability of the location of any subsequent RSU in a given node on a grid was scaled by the LandScan population density map. Additionally, this procedure was under constraints imposed on the minimal pairwise distance between RSUs, which was set to 2 km.
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Because we are interested in the general properties of Polish communes topology network, for each commmune we carried out the calculations yielding a dependency of the mean distance from a household to a RSU on the number of located rescue units. In such a way, it is possible to determine an optimal saturation with rescue units, comparing benefits and costs of establishing and funding of a new unit.
  
 
== References ==
 
== References ==
  
 
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Latest revision as of 14:00, 14 November 2008

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