A mathematical model for population distribution II: Linear systems
The present paper constitutes a continuation of a previous relevant paper, entitled “A mathematical model for population distribution” by Elias (2023), in which the general theoretical model was described, and some initial applications were presented, namely some approximations of population di...
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Romanian Regional Science Association
2024-12-01
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| Series: | Romanian Journal of Regional Science |
| Online Access: | https://rjrs.ase.ro/wp-content/uploads/2024/12/1-NElias.pdf |
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| author | Nicholas Elias |
| author_facet | Nicholas Elias |
| author_sort | Nicholas Elias |
| collection | DOAJ |
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The present paper constitutes a continuation of a previous relevant paper, entitled “A mathematical model for population distribution” by Elias (2023), in which the general theoretical model was described, and some initial applications were presented, namely some approximations of population distribution of a one-dimensional inertial system and a special case of one-dimensional dynamic system. Herein, by using the above model, the following issues will be addressed: a) the examination of multidimensional linear systems, both inertial and dynamic, facilitating the study of polycentric cities and systems of multiple cities (metropolitan areas) and b) the variation of the population distribution due to the geographical diversifications of the habitat of the system, as in a sloped terrain or of coastal cities. For each of the above cases, their behaviour is presented by producing and analysing the corresponding equations of motion and distribution and, whenever possible, an effort has been made to qualitatively compare the theoretical results to field data. |
| format | Article |
| id | doaj-art-72fc0594eebf425fa5ccd85cc62b4913 |
| institution | OA Journals |
| issn | 1843-8520 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Romanian Regional Science Association |
| record_format | Article |
| series | Romanian Journal of Regional Science |
| spelling | doaj-art-72fc0594eebf425fa5ccd85cc62b49132025-08-20T02:36:39ZengRomanian Regional Science AssociationRomanian Journal of Regional Science1843-85202024-12-0118213410.61225/rjrs.2024.07A mathematical model for population distribution II: Linear systemsNicholas Elias The present paper constitutes a continuation of a previous relevant paper, entitled “A mathematical model for population distribution” by Elias (2023), in which the general theoretical model was described, and some initial applications were presented, namely some approximations of population distribution of a one-dimensional inertial system and a special case of one-dimensional dynamic system. Herein, by using the above model, the following issues will be addressed: a) the examination of multidimensional linear systems, both inertial and dynamic, facilitating the study of polycentric cities and systems of multiple cities (metropolitan areas) and b) the variation of the population distribution due to the geographical diversifications of the habitat of the system, as in a sloped terrain or of coastal cities. For each of the above cases, their behaviour is presented by producing and analysing the corresponding equations of motion and distribution and, whenever possible, an effort has been made to qualitatively compare the theoretical results to field data.https://rjrs.ase.ro/wp-content/uploads/2024/12/1-NElias.pdf |
| spellingShingle | Nicholas Elias A mathematical model for population distribution II: Linear systems Romanian Journal of Regional Science |
| title | A mathematical model for population distribution II: Linear systems |
| title_full | A mathematical model for population distribution II: Linear systems |
| title_fullStr | A mathematical model for population distribution II: Linear systems |
| title_full_unstemmed | A mathematical model for population distribution II: Linear systems |
| title_short | A mathematical model for population distribution II: Linear systems |
| title_sort | mathematical model for population distribution ii linear systems |
| url | https://rjrs.ase.ro/wp-content/uploads/2024/12/1-NElias.pdf |
| work_keys_str_mv | AT nicholaselias amathematicalmodelforpopulationdistributioniilinearsystems AT nicholaselias mathematicalmodelforpopulationdistributioniilinearsystems |