Multiplicative Processes and City Sizes View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2008-01-01

AUTHORS

Damián H. Zanette

ABSTRACT

In this contribution, I address the function of multiplicative stochastic processes in modelling the occurrence of power-law city size distributions. As an explanation of the result of Zipf’s rank analysis, Simon’s model is presented in a mathematically elementary way, with a thorough discussion of the involved hypotheses. Emphasis is put on the flexibility of the model, as to its possible extensions and the relaxation of some strong assumptions. I point out some open problems regarding the prediction of the detailed shape of Zipf’s rank plots, which may be tackled by means of such extensions. More... »

PAGES

457-472

Book

TITLE

The Dynamics of Complex Urban Systems

ISBN

978-3-7908-1936-6
978-3-7908-1937-3

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-7908-1937-3_22

DOI

http://dx.doi.org/10.1007/978-3-7908-1937-3_22

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1019557929


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0104", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Statistics", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas, Centro At\u00f3mico Bariloche and Instituto Balseiro, Bariloche, Argentina", 
          "id": "http://www.grid.ac/institutes/grid.423606.5", 
          "name": [
            "Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas, Centro At\u00f3mico Bariloche and Instituto Balseiro, Bariloche, Argentina"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Zanette", 
        "givenName": "Dami\u00e1n H.", 
        "id": "sg:person.0673125037.10", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0673125037.10"
        ], 
        "type": "Person"
      }
    ], 
    "datePublished": "2008-01-01", 
    "datePublishedReg": "2008-01-01", 
    "description": "In this contribution, I address the function of multiplicative stochastic processes in modelling the occurrence of power-law city size distributions. As an explanation of the result of Zipf\u2019s rank analysis, Simon\u2019s model is presented in a mathematically elementary way, with a thorough discussion of the involved hypotheses. Emphasis is put on the flexibility of the model, as to its possible extensions and the relaxation of some strong assumptions. I point out some open problems regarding the prediction of the detailed shape of Zipf\u2019s rank plots, which may be tackled by means of such extensions.", 
    "editor": [
      {
        "familyName": "Albeverio", 
        "givenName": "Sergio", 
        "type": "Person"
      }, 
      {
        "familyName": "Andrey", 
        "givenName": "Denise", 
        "type": "Person"
      }, 
      {
        "familyName": "Giordano", 
        "givenName": "Paolo", 
        "type": "Person"
      }, 
      {
        "familyName": "Vancheri", 
        "givenName": "Alberto", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-3-7908-1937-3_22", 
    "inLanguage": "en", 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-3-7908-1936-6", 
        "978-3-7908-1937-3"
      ], 
      "name": "The Dynamics of Complex Urban Systems", 
      "type": "Book"
    }, 
    "keywords": [
      "multiplicative stochastic processes", 
      "rank plot", 
      "stochastic process", 
      "open problem", 
      "elementary way", 
      "strong assumptions", 
      "Simons model", 
      "multiplicative process", 
      "such extensions", 
      "possible extensions", 
      "model", 
      "extension", 
      "thorough discussion", 
      "problem", 
      "assumption", 
      "detailed shape", 
      "function", 
      "flexibility", 
      "prediction", 
      "distribution", 
      "rank analysis", 
      "process", 
      "relaxation", 
      "way", 
      "means", 
      "results", 
      "analysis", 
      "emphasis", 
      "shape", 
      "city size", 
      "contribution", 
      "discussion", 
      "size", 
      "size distribution", 
      "plots", 
      "hypothesis", 
      "city size distribution", 
      "explanation", 
      "occurrence", 
      "power-law city size distributions", 
      "Zipf\u2019s rank analysis", 
      "involved hypotheses", 
      "Zipf\u2019s rank plots"
    ], 
    "name": "Multiplicative Processes and City Sizes", 
    "pagination": "457-472", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1019557929"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-3-7908-1937-3_22"
        ]
      }
    ], 
    "publisher": {
      "name": "Springer Nature", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-3-7908-1937-3_22", 
      "https://app.dimensions.ai/details/publication/pub.1019557929"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2022-01-01T19:12", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20220101/entities/gbq_results/chapter/chapter_221.jsonl", 
    "type": "Chapter", 
    "url": "https://doi.org/10.1007/978-3-7908-1937-3_22"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/978-3-7908-1937-3_22'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-7908-1937-3_22'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-7908-1937-3_22'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-7908-1937-3_22'


 

This table displays all metadata directly associated to this object as RDF triples.

118 TRIPLES      23 PREDICATES      68 URIs      61 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-3-7908-1937-3_22 schema:about anzsrc-for:01
2 anzsrc-for:0104
3 schema:author N90a60587330a4af08e4abe4b5f10181e
4 schema:datePublished 2008-01-01
5 schema:datePublishedReg 2008-01-01
6 schema:description In this contribution, I address the function of multiplicative stochastic processes in modelling the occurrence of power-law city size distributions. As an explanation of the result of Zipf’s rank analysis, Simon’s model is presented in a mathematically elementary way, with a thorough discussion of the involved hypotheses. Emphasis is put on the flexibility of the model, as to its possible extensions and the relaxation of some strong assumptions. I point out some open problems regarding the prediction of the detailed shape of Zipf’s rank plots, which may be tackled by means of such extensions.
7 schema:editor Nad7c69323ea545059ae22b81bd1fe2bf
8 schema:genre chapter
9 schema:inLanguage en
10 schema:isAccessibleForFree false
11 schema:isPartOf N17bad34ddaf24b6c86840c7eda51dd26
12 schema:keywords Simons model
13 Zipf’s rank analysis
14 Zipf’s rank plots
15 analysis
16 assumption
17 city size
18 city size distribution
19 contribution
20 detailed shape
21 discussion
22 distribution
23 elementary way
24 emphasis
25 explanation
26 extension
27 flexibility
28 function
29 hypothesis
30 involved hypotheses
31 means
32 model
33 multiplicative process
34 multiplicative stochastic processes
35 occurrence
36 open problem
37 plots
38 possible extensions
39 power-law city size distributions
40 prediction
41 problem
42 process
43 rank analysis
44 rank plot
45 relaxation
46 results
47 shape
48 size
49 size distribution
50 stochastic process
51 strong assumptions
52 such extensions
53 thorough discussion
54 way
55 schema:name Multiplicative Processes and City Sizes
56 schema:pagination 457-472
57 schema:productId N03bd24a5f16642f2a8415e35a6037548
58 Nb230f566c8804e1dada637d7a8e459c2
59 schema:publisher Nb860bbaea0b34fb68a89263b975d392e
60 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019557929
61 https://doi.org/10.1007/978-3-7908-1937-3_22
62 schema:sdDatePublished 2022-01-01T19:12
63 schema:sdLicense https://scigraph.springernature.com/explorer/license/
64 schema:sdPublisher Nad9fcb03e7c64a4eae2fc03998598a3d
65 schema:url https://doi.org/10.1007/978-3-7908-1937-3_22
66 sgo:license sg:explorer/license/
67 sgo:sdDataset chapters
68 rdf:type schema:Chapter
69 N03bd24a5f16642f2a8415e35a6037548 schema:name dimensions_id
70 schema:value pub.1019557929
71 rdf:type schema:PropertyValue
72 N067beff1254046fca4b97985e79b1888 schema:familyName Andrey
73 schema:givenName Denise
74 rdf:type schema:Person
75 N0850d087b9f14b53965472d93b8b4eea rdf:first N81050667901f4879beff72e810f4189e
76 rdf:rest N08d9e40ed8e549e3bce7d2d7fdbdc9cc
77 N08d9e40ed8e549e3bce7d2d7fdbdc9cc rdf:first N1a10ad5c0d8746c69f17da73d3429778
78 rdf:rest rdf:nil
79 N0edae0d1b6de48e0aae1e93444fe7b9c rdf:first N067beff1254046fca4b97985e79b1888
80 rdf:rest N0850d087b9f14b53965472d93b8b4eea
81 N17bad34ddaf24b6c86840c7eda51dd26 schema:isbn 978-3-7908-1936-6
82 978-3-7908-1937-3
83 schema:name The Dynamics of Complex Urban Systems
84 rdf:type schema:Book
85 N1a10ad5c0d8746c69f17da73d3429778 schema:familyName Vancheri
86 schema:givenName Alberto
87 rdf:type schema:Person
88 N81050667901f4879beff72e810f4189e schema:familyName Giordano
89 schema:givenName Paolo
90 rdf:type schema:Person
91 N90a60587330a4af08e4abe4b5f10181e rdf:first sg:person.0673125037.10
92 rdf:rest rdf:nil
93 Nad7c69323ea545059ae22b81bd1fe2bf rdf:first Nd4c07c0c74d74761b141c43f81b783e9
94 rdf:rest N0edae0d1b6de48e0aae1e93444fe7b9c
95 Nad9fcb03e7c64a4eae2fc03998598a3d schema:name Springer Nature - SN SciGraph project
96 rdf:type schema:Organization
97 Nb230f566c8804e1dada637d7a8e459c2 schema:name doi
98 schema:value 10.1007/978-3-7908-1937-3_22
99 rdf:type schema:PropertyValue
100 Nb860bbaea0b34fb68a89263b975d392e schema:name Springer Nature
101 rdf:type schema:Organisation
102 Nd4c07c0c74d74761b141c43f81b783e9 schema:familyName Albeverio
103 schema:givenName Sergio
104 rdf:type schema:Person
105 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
106 schema:name Mathematical Sciences
107 rdf:type schema:DefinedTerm
108 anzsrc-for:0104 schema:inDefinedTermSet anzsrc-for:
109 schema:name Statistics
110 rdf:type schema:DefinedTerm
111 sg:person.0673125037.10 schema:affiliation grid-institutes:grid.423606.5
112 schema:familyName Zanette
113 schema:givenName Damián H.
114 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0673125037.10
115 rdf:type schema:Person
116 grid-institutes:grid.423606.5 schema:alternateName Consejo Nacional de Investigaciones Científicas y Técnicas, Centro Atómico Bariloche and Instituto Balseiro, Bariloche, Argentina
117 schema:name Consejo Nacional de Investigaciones Científicas y Técnicas, Centro Atómico Bariloche and Instituto Balseiro, Bariloche, Argentina
118 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...