Gravity models of spatial interaction behavior:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin ; Heidelberg ; New York ; Barcelona ; Budapest ; Hong Kon
Springer
1995
|
| Series: | Advances in spatial and network economics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 538 - 554 |
| Physical Description: | XV, 572 S. graph. Darst. |
| ISBN: | 3540600264 |
Staff View
MARC
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| 100 | 1 | |a Sen, Ashish |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Gravity models of spatial interaction behavior |c Ashish Sen ; Tony E. Smith |
| 264 | 1 | |a Berlin ; Heidelberg ; New York ; Barcelona ; Budapest ; Hong Kon |b Springer |c 1995 | |
| 300 | |a XV, 572 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Advances in spatial and network economics | |
| 500 | |a Literaturverz. S. 538 - 554 | ||
| 650 | 7 | |a Engenharia de transportes |2 larpcal | |
| 650 | 4 | |a Espace (Économie politique) - Modèles mathématiques | |
| 650 | 7 | |a Ruimtelijke analyse |2 gtt | |
| 650 | 7 | |a Ruimtelijke economie |2 gtt | |
| 650 | 4 | |a Transport - Modèles mathématiques | |
| 650 | 7 | |a Wiskundige economie |2 gtt | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Space in economics |x Mathematical models | |
| 650 | 4 | |a Transportation |x Mathematical models | |
| 650 | 0 | 7 | |a Regionale Mobilität |0 (DE-588)4076600-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Gravitationsmodell |0 (DE-588)4216837-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Regionale Mobilität |0 (DE-588)4076600-7 |D s |
| 689 | 0 | 1 | |a Gravitationsmodell |0 (DE-588)4216837-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Smith, Tony E. |d 1939- |e Verfasser |0 (DE-588)124935354 |4 aut | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006848255&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006848255 | |
Record in the Search Index
| _version_ | 1807505775883452416 |
|---|---|
| adam_text |
CONTENTS
FOREWORD
VII
PREFACE
IX
INTRODUCTION
1
I
THEORETICAL
DEVELOPMENT
13
1
SPATIAL
INTERACTION
PROCESSES:
AN
OVERVIEW
15
1.1
INTRODUCTION
.
15
1.2
THEORETICAL
PERSPECTIVES
.
15
1.2.1
MACRO
VERSUS
MICRO
THEORIES
.
15
1.2.2
STATIC
VERSUS
DYNAMIC
THEORIES
.
17
1.2.3
PROBABILISTIC
VERSUS
DETERMINISTIC
THEORIES
.
17
1.3
ANALYTICAL
FRAMEWORK
.
18
1.3.1
MEASURES
OF
SPATIAL
SEPARATION
.
19
1.3.2
SPATIAL
AGGREGATION
ASSUMPTIONS
.
21
1.3.3
STRUCTURAL
INDEPENDENCE
ASSUMPTIONS
.
26
1.4
SPATIAL
INTERACTION
PROCESSES
.
28
1.4.1
INTERACTION
PATTERNS
.
28
1.4.2
GENERAL
INTERACTION
PROCESSES
.
29
1.4.3
INDEPENDENT
INTERACTION
PROCESSES
.
36
1.5
RELAXATIONS
OF
INDEPENDENCE
.
42
1.5.1
RELAXATIONS
OF
FREQUENCY
INDEPENDENCE
.
43
1.5.2
RELAXATIONS
OF
LOCATIONAL
INDEPENDENCE
.
44
1.5.3
MORE
COMPLEX
TYPES
OF
INTERDEPENDENCIES
.
46
2
GRAVITY
MODELS:
AN
OVERVIEW
49
2.1
INTRODUCTION
.
49
2.2
GENERAL
GRAVITY
MODELS
.
50
2.2.1
MODEL
SPECIFICATIONS
.
50
2.2.2
ILLUSTRATIVE
EXAMPLES
.
58
2.2.3
BEHAVIORAL
CHARACTERIZATIONS
.
68
XII
CONTENTS
2.3
FUNCTIONAL
SPECIFICATIONS
.
88
2.3.1
ORIGIN
AND
DESTINATION
FUNCTIONS
.
88
2.3.2
DETERRENCE
FUNCTIONS
.
92
2.4
EXPONENTIAL
GRAVITY
MODELS
.
99
2.4.1
MODEL
SPECIFICATIONS
.
100
2.4.2
ILLUSTRATIVE
EXAMPLES
.
102
2.4.3
BEHAVIORAL
CHARACTERIZATIONS
.
116
2.5
GENERALIZATIONS
OF
THE
GRAVITY
MODELS
.
126
2.5.1
GENERALIZED
SEARCH
PROCESSES
.
128
2.5.2
INTERACTION
PROCESSES
WITH
HIERARCHICAL
DESTINATIONS
130
2.5.3
INTERACTION
PROCESSES
WITH
RANDOM
DESTINATION
SETS
137
3
SPATIAL
INTERACTION
PROCESSES:
FORMAL
DEVELOPMENT
153
3.1
INTRODUCTION
.
153
3.2
ANALYTICAL
PRELIMINARIES
.
153
3.2.1
MEASURABLE
SPACES
.
154
3.2.2
MEASURABLE
FUNCTIONS
.
155
3.2.3
PROBABILITY
SPACES
.
155
3.3
INTERACTION
PROBABILITY
SPACES
.
156
3.3.1
INTERACTION
PATTERNS
.
157
3.3.2
LOCATIONAL
ATTRIBUTES
OF
INTERACTIONS
.
157
3.3.3
INTERACTION
EVENTS
.
158
3.3.4
FREQUENCY
ATTRIBUTES
OF
INTERACTIONS
.
161
3.4
INTERACTION
PROCESSES
.
162
3.4.1
SEPARATION
CONFIGURATIONS
.
162
3.4.2
GENERAL
INTERACTION
PROCESSES
.
163
3.4.3
INDEPENDENT
INTERACTION
PROCESSES
.
166
3.5
FREQUENCY
PROCESSES
.
166
3.6
GENERATED
FREQUENCY
PROCESSES
.
167
3.6.1
POISSON
FREQUENCY
PROCESSES
.
169
3.6.2
POISSON
CHARACTERIZATION
THEOREM
.
174
3.7
THRESHOLD
INTERACTION
PROCESSES
.
181
3.7.1
POTENTIAL
INTERACTIONS
.
181
3.7.2
INDEPENDENT
THRESHOLD
INTERACTION
PROCESSES
.
184
3.7.3
THRESHOLD
FREQUENCY
PROCESSES
.
187
3.8
SEARCH
PROCESSES
.
190
3.8.1
SEARCH
EVENTS
.
190
3.8.2
REALIZED-INTERACTION
FREQUENCIES
.
192
3.8.3
INDEPENDENT
SEARCH
PROCESSES
.
194
3.9
RELAXATIONS
OF
INDEPENDENCE
.
197
3.9.1
RELAXATIONS
OF
FREQUENCY
INDEPENDENCE
.
198
3.9.2
RELAXATION
OF
LOCATIONAL
INDEPENDENCE
.
201
3.9.3
MORE
COMPLEX
TYPES
OF
INTERDEPENDENCIES
.
205
3.10
NOTES
AND
REFERENCES
.
218
CONTENTS
XIII
4
GRAVITY
MODELS:
FORMAL
DEVELOPMENT
221
4.1
INTRODUCTION
.
221
4.2
DEFINITION
OF
GRAVITY
MODEL
CLASSES
.
221
4.2.1
GENERAL
GRAVITY
MODELS
.
222
4.2.2
EXPONENTIAL
GRAVITY
MODELS
.
223
4.2.3
RELATIONSHIPS
AMONG
MODEL
TYPES
.
225
4.3
EXAMPLES
OF
GRAVITY
MODEL
CLASSES
.
225
4.3.1
CARROLL-BEVIS
PROCESSES
.
227
4.3.2
THRESHOLD
INTERACTION
PROCESSES
.
230
4.3.3
KULLBACK-LEIBLER
PROCESSES
.
232
4.3.4
SIMPLE
SEARCH
PROCESSES
.
239
4.4
AXIOMS
FOR
INTERACTION
PROCESSES
.
243
4.4.1
POSITIVE
INTERACTION
PROCESSES
.
243
4.4.2
BEHAVIORAL
AXIOMS
.
245
4.4.3
RELATIONS
AMONG
AXIOMS
.
249
4.5
CHARACTERIZATIONS
OF
GRAVITY
MODELS
.
250
4.5.1
ANALYTICAL
PRELIMINARIES
.
250
4.5.2
CHARACTERIZATIONS
OF
GENERAL
GRAVITY
MODELS
.
257
4.5.3
CHARACTERIZATIONS
OF
EXPONENTIAL
GRAVITY
MODELS
.
.
300
4.6
GENERALIZATIONS
OF
GRAVITY
MODELS
.
328
4.6.1
INTERACTION
PROCESSES
WITH
HIERARCHICAL
DESTINATIONS
329
4.6.2
INTERACTION
PROCESSES
WITH
RANDOM
DESTINATION
SETS
336
4.6.3
INTERACTION
PROCESSES
WITH
PROMINENCE
EFFECTS
.
.
.
343
4.7
NOTES
AND
REFERENCES
.
350
II
METHODS
355
5
MAXIMUM
LIKELIHOOD
357
5.1
INTRODUCTION
.
357
5.1.1
PRELIMINARIES
.
.
357
5.1.2
MAXIMUM
LIKELIHOOD
ESTIMATION
.
359
5.1.3
A
PREVIEW
OF
THIS
CHAPTER
.
361
5.2
EXISTENCE
AND
UNIQUENESS
OF
ML
ESTIMATES
.
363
5.2.1
CONDITION
ML1
.
364
5.2.2
CONDITION
ML2
.
365
5.2.3
PROOF
OF
THEOREM
5.1
.
368
5.2.4
ML
ESTIMATION
FOR
MULTINOMIAL
GRAVITY
MODELS
.
.
371
5.3
ML
ESTIMATION
ALGORITHMS:
SPECIAL
CASES
.
373
5.3.1
THE
DSF
PROCEDURE
.
373
5.3.2
THE
EVANS-KIRBY
PROCEDURE
.
380
5.3.3
THE
HYMAN
PROCEDURE
.
386
5.4
THE
LDSF
PROCEDURE
.
387
5.4.1
THE
PROCEDURE
.
388
XIV
CONTENTS
5.4.2
AN
APPROXIMATION
USEFUL
FOR
ML
ESTIMATION
ALGO
RITHMS
.
397
5.4.3
APPLICATION
TO
SHORT-TERM
FORECASTING
.
399
5.5
GENERAL
ALGORITHMS
FOR
ML
ESTIMATES
.
400
5.5.1
SCORING
METHODS
.
401
5.5.2
THE
MODIFIED
SCORING
PROCEDURE
.
402
5.5.3
GRADIENT
SEARCH
PROCEDURES
.
404
5.5.4
MODIFIED
GRADIENT
SEARCH
PROCEDURES
.
409
5.5.5
GLIM
.
412
5.6
PERFORMANCE
OF
GENERAL
ALGORITHMS
.
414
5.6.1
THE
DATA
.
415
5.6.2
CONVERGENCE
.
419
5.6.3
SPEEDS
OF
PROCEDURES
.
425
5.7
COVARIANCE
OF
ESTIMATES
.
433
5.7.1
COVARIANCE
OF
0*
'
S
.
434
5.7.2
COVARIANCE
OF
T,J
.
440
5.7.3
OTHER
FORECASTS
.
445
5.8
GOODNESS
OF
FIT
.
447
5.8.1
GLOBAL
MEASURES
.
448
5.8.2
RESIDUALS
.
455
5.9
OTHER
PROPERTIES
OF
ML
ESTIMATES
.
457
5.9.1
ASYMPTOTIC
PROPERTIES
.
457
5.9.2
SMALL
SAMPLE
PROPERTIES
.
463
5
9.3
ML
ESTIMATES
FROM
FACTORED
DATA
.
468
5.10
NOTES
AND
CONCLUDING
REMARKS
.
469
5.10.1
CONCLUSION
.
472
6
LEAST
SQUARES
473
6.1
INTRODUCTION
.
473
6.1.1
A
PREVIEW
OF
THIS
CHAPTER
.
474
6.2
LS
PROCEDURES
.
476
6.2.1
REDUCTION
OF
PARAMETERS
.
477
6.2.2
GAUSS-MARKOV
CONDITIONS
.
478
6.2.3
BIAS
.
479
6.2.4
WEIGHTING
.
483
6.2.5
PROCEDURES
.
485
6.3
LARGE
SAMPLE
THEORY
.
486
6.3.1
PRELIMINARIES
.
486
6.3.2
THE
MAIN
THEOREM
.
490
6.3.3
A
PROJECTION
MATRIX
.
492
6.3.4
PROOF
OF
THEOREM
6.1
.
496
6.3.5
SOME
PRACTICAL
DETAILS
.
513
6.4
ALTERNATIVE
METHODS
.
516
6.4.1
USE
OF
ITERATIVE
REWEIGHTING
IN
PROCEDURE
1
.
516
6-4.2
NOT
REDUCING
PARAMETERS
.
517
CONTENTS
XV
6.4.3
USEOFOLS
.
518
6.4.4
USE
OF
GENERALIZED
INVERSES
.
519
6.5
SMALL
SAMPLE
PROPERTIES
.
519
6.5.1
THE
PROCEDURES
.
520
6.5.2
THE
SIMULATIONS
.
521
6.5.3
RESULTS
FROM
SIMULATIONS
.
522
6.5.4
CONCLUSIONS
.
525
6.6
NON-LINEAR
LEAST
SQUARES
.
526
6.7
NOTES
AND
CONCLUDING
REMARKS
.
529
6.7.1
CONCLUSIONS
.
531
APPENDIX:
SKOKIE
DATA
533
REFERENCES
538
LIST
OF
PRINCIPAL
DEFINITIONS
AND
RESULTS
555
SUBJECT
INDEX
558
AUTHOR
INDEX
569 |
| any_adam_object | 1 |
| author | Sen, Ashish Smith, Tony E. 1939- |
| author_GND | (DE-588)124935354 |
| author_facet | Sen, Ashish Smith, Tony E. 1939- |
| author_role | aut aut |
| author_sort | Sen, Ashish |
| author_variant | a s as t e s te tes |
| building | Verbundindex |
| bvnumber | BV010293495 |
| callnumber-first | H - Social Science |
| callnumber-label | HE147 |
| callnumber-raw | HE147.7 |
| callnumber-search | HE147.7 |
| callnumber-sort | HE 3147.7 |
| callnumber-subject | HE - Transportation and Communications |
| classification_rvk | QC 150 RB 10103 |
| ctrlnum | (OCoLC)32893063 (DE-599)BVBBV010293495 |
| dewey-full | 388/.01/5118 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 388 - Transportation |
| dewey-raw | 388/.01/5118 |
| dewey-search | 388/.01/5118 |
| dewey-sort | 3388 11 45118 |
| dewey-tens | 380 - Commerce, communications, transportation |
| discipline | Wirtschaftswissenschaften Geographie |
| format | Book |
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| id | DE-604.BV010293495 |
| illustrated | Illustrated |
| indexdate | 2024-08-16T01:30:34Z |
| institution | BVB |
| isbn | 3540600264 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006848255 |
| oclc_num | 32893063 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-12 DE-706 DE-83 DE-11 |
| owner_facet | DE-19 DE-BY-UBM DE-12 DE-706 DE-83 DE-11 |
| physical | XV, 572 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer |
| record_format | marc |
| series2 | Advances in spatial and network economics |
| spelling | Sen, Ashish Verfasser aut Gravity models of spatial interaction behavior Ashish Sen ; Tony E. Smith Berlin ; Heidelberg ; New York ; Barcelona ; Budapest ; Hong Kon Springer 1995 XV, 572 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Advances in spatial and network economics Literaturverz. S. 538 - 554 Engenharia de transportes larpcal Espace (Économie politique) - Modèles mathématiques Ruimtelijke analyse gtt Ruimtelijke economie gtt Transport - Modèles mathématiques Wiskundige economie gtt Mathematisches Modell Space in economics Mathematical models Transportation Mathematical models Regionale Mobilität (DE-588)4076600-7 gnd rswk-swf Gravitationsmodell (DE-588)4216837-5 gnd rswk-swf Regionale Mobilität (DE-588)4076600-7 s Gravitationsmodell (DE-588)4216837-5 s DE-604 Smith, Tony E. 1939- Verfasser (DE-588)124935354 aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006848255&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sen, Ashish Smith, Tony E. 1939- Gravity models of spatial interaction behavior Engenharia de transportes larpcal Espace (Économie politique) - Modèles mathématiques Ruimtelijke analyse gtt Ruimtelijke economie gtt Transport - Modèles mathématiques Wiskundige economie gtt Mathematisches Modell Space in economics Mathematical models Transportation Mathematical models Regionale Mobilität (DE-588)4076600-7 gnd Gravitationsmodell (DE-588)4216837-5 gnd |
| subject_GND | (DE-588)4076600-7 (DE-588)4216837-5 |
| title | Gravity models of spatial interaction behavior |
| title_auth | Gravity models of spatial interaction behavior |
| title_exact_search | Gravity models of spatial interaction behavior |
| title_full | Gravity models of spatial interaction behavior Ashish Sen ; Tony E. Smith |
| title_fullStr | Gravity models of spatial interaction behavior Ashish Sen ; Tony E. Smith |
| title_full_unstemmed | Gravity models of spatial interaction behavior Ashish Sen ; Tony E. Smith |
| title_short | Gravity models of spatial interaction behavior |
| title_sort | gravity models of spatial interaction behavior |
| topic | Engenharia de transportes larpcal Espace (Économie politique) - Modèles mathématiques Ruimtelijke analyse gtt Ruimtelijke economie gtt Transport - Modèles mathématiques Wiskundige economie gtt Mathematisches Modell Space in economics Mathematical models Transportation Mathematical models Regionale Mobilität (DE-588)4076600-7 gnd Gravitationsmodell (DE-588)4216837-5 gnd |
| topic_facet | Engenharia de transportes Espace (Économie politique) - Modèles mathématiques Ruimtelijke analyse Ruimtelijke economie Transport - Modèles mathématiques Wiskundige economie Mathematisches Modell Space in economics Mathematical models Transportation Mathematical models Regionale Mobilität Gravitationsmodell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006848255&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT senashish gravitymodelsofspatialinteractionbehavior AT smithtonye gravitymodelsofspatialinteractionbehavior |