Validation Status

Empirical Validation Completed

The Visibility–Accessibility Matrix 2.0 is considered theoretically developed, operationally complete and empirically validated for the current version of the project. Validation is grounded in the application of the instrument to the real corpus, the researcher’s review and ratification of the scores, evidence traceability and the systematic application of coding, scoring, spatial-delimitation and interpretative-control rules.

Corpus Status: 75 spatial cases with consolidated V1–V5 and A1–A5 scores, supported by Source Assets references, an explicit Spatial Scope and a case-level analytical rationale.

Contents

1. Validation Scope
2. Empirical Corpus
3. Validation Design
4. Analytical Architecture
5. Evidence & Traceability
6. Coding Reliability & Consistency
7. Validity Assessment
8. Final Scoring Coverage
9. Visibility Results
10. Accessibility Results
11. Final Scores & Matrix Configurations
12. Missing Evidence & Quality Control
13. Temporal Handling & Comparability
14. Negative Cases
15. Methodological Decisions Confirmed
16. VAM–SECP Relationship
17. Empirical Interpretation
18. Interpretative Limits
19. Reproducibility
20. Final Validation Conclusion

01

Validation Scope

Validation assesses the application of VAM as an instrument for describing and comparing configurations of Visibility and Accessibility within delimited spatial units.

The assessment focuses on the coherence of the ten dimensions, the applicability of their coding anchors, traceability between evidence, scores and rationale, the stability of the calculation rules, and the ability to distinguish observable properties from psychological or social inferences that VAM does not measure.

VAM is validated as a spatial and institutional analytical instrument, not as a direct measure of aspiration, belonging, intimidation, conspicuous motivation or subjective exclusion.

02

Empirical Corpus

Validation uses the consolidated corpus of the Monaco Research Observatory: 75 spatial cases distributed across 30 areas or macrospaces, documented through 225 visual assets.

The number of assets is not equivalent to the number of cases or scores. Multiple assets may support the same analytical decision without multiplying the spatial unit.

03

Validation Design

The empirical application uses the VAM 2.0 Codebook, retains all ten dimensions, links each case to traceable evidence and reviews the consistency between scores, spatial delimitation, analytical rationales and the final configuration.

04

Analytical Architecture

Validation confirms the usefulness of retaining two related but analytically separate axes.

Validation does not justify merging the dimensions or combining Visibility and Accessibility into a single overall index.

05

Evidence & Traceability

The final matrix preserves an explicit chain linking the spatial unit, source assets, dimension scores, analytical rationale and final result.

The same asset may provide evidence for several dimensions when an independent justification exists. The presence of a photograph or video does not automatically produce a score or conclusion.

Open the MVFA–VAM Evidence & Code Guide →

06

Coding Reliability & Consistency

The consistency of the final version is grounded in the application of a stable Codebook, explicit anchors, documented spatial delimitation, systematic score review, preservation of sources and final ratification of results by the researcher.

07

Validity Assessment

Content Adequacy

The final application retains all ten intended dimensions and supports their ability to represent distinct components of Visibility and Accessibility within the analysed corpus.

Construct Differentiation

Visibility and Accessibility produce distinct profiles. The final matrix includes cases of high visibility with low accessibility, as well as intermediate configurations, so the two axes cannot be reduced to a single spatial property.

Contrasting-Case Performance

The final results distinguish between Publicly Permeable Luxury, Displayed but Restricted Luxury and Conditional or Graduated Permeability, showing that the instrument differentiates distinct spatial configurations without imposing a single classification on the corpus.

Temporal Handling

Temporal conditions are interpreted within the scope declared for each case. Incompatible open and closed states are not averaged as though they represented a single spatial condition.

Discriminant Separation

Validation keeps the VAM and SECP constructs separate. A Visibility or Accessibility score does not, by itself, constitute an occurrence of soft spatial exclusion.

08

Final Scoring Coverage

The final matrix contains 750 dimension scores: ten dimensions applied to the 75 spatial cases. This structure forms the basis of the final VAM analysis.

09

Visibility Results

The 75 cases have a mean score of Visibility = 71.33 / 100, within the High descriptive band.

The overall mean summarises the corpus and does not replace analysis of V1–V5 or the individual profiles of each case.

10

Accessibility Results

The 75 cases have a mean score of Accessibility = 66.60 / 100, also within the High descriptive band.

The difference between the mean Accessibility scores of the configurations demonstrates why accessibility must remain an axis independent of Visibility.

11

Final Scores & Matrix Configurations

The validated version retains the ordinal 0–4 scale for each dimension and the 0–100 axis indices.

Very Low: [0,20) · Low: [20,40) · Moderate: [40,60) · High: [60,80) · Very High: [80,100].

Final Configuration Distribution

Open VAM Empirical Case Profiles →

12

Missing Evidence & Quality Control

VAM maintains a strict distinction between 0, NE and NA. A score of 0 represents the low end of the dimension; it does not represent missing evidence.

The final results matrix contains 750 dimension scores. The rules above remain part of the Codebook for future applications or records in which the available evidence does not allow all five dimensions of an axis to be scored.

13

Temporal Handling & Comparability

VAM recognises that opening hours, events, temporary barriers, lighting, security, reservations and operating conditions may alter the observable properties of a spatial unit.

The final matrix requires each score to be interpreted within the declared Spatial Scope and prohibits averaging incompatible open and closed conditions as though they formed a single homogeneous situation.

14

Negative Cases & Alternative Explanations

Validation incorporates alternative explanations to prevent any barrier, control or restriction from being automatically interpreted as privilege, exclusion or low accessibility arising from an unsubstantiated cause.

• high visibility does not imply aspiration;
• high accessibility does not imply belonging;
• the visibility of luxury does not demonstrate conspicuous consumption;
• a security control may serve functional purposes;
• an operational closure is not automatically equivalent to exclusion;
• a mobility barrier must be distinguished from a social barrier;
• entry, staying and participation may diverge;
• ordinary and event conditions must remain separate.

The alternative explanations considered include security, legal obligations, operational requirements, privacy, residential protection, flow management, mobility limitations, maintenance and event logistics.

15

Methodological Decisions Confirmed

16

VAM–SECP Relationship

VAM and SECP may work with part of the same visual corpus, but they address different questions and maintain independent coding systems.

VAM describes visibility and accessibility configurations through V1–V5 and A1–A5. SECP identifies soft-exclusion mechanisms through SE1–SE12 and its own occurrence system. Relationships between the two are analysed through an independent crosswalk.

Open the Soft Exclusion Coding Protocol →

17

Empirical Interpretation

The results support the usefulness of the VAM architecture for describing a heterogeneous spatial corpus without reducing it to a binary opposition between open and closed.

The predominant configuration is Publicly Permeable Luxury, with 50 of 75 cases (66.7%). At the same time, 20 cases (26.7%) exhibit Conditional or Graduated Permeability and 5 cases (6.7%) correspond to Displayed but Restricted Luxury.

No final cases are classified as Discreet Accessibility or Enclosed Privilege in the current corpus. This is an empirical finding of the study and does not imply that these configurations are conceptually impossible.

The coexistence of distinct configurations demonstrates that exposure, access and participation should not be treated as equivalent properties. This decoupling is one of the instrument’s principal analytical strengths.

18

Interpretative Limits

• A case score is not equivalent to territorial prevalence.
• The overall corpus mean does not replace examination of the individual dimensions.
• Visibility is not equivalent to aspiration, belonging or conspicuous consumption.
• Accessibility is not equivalent to belonging or symbolic integration.
• A restriction does not, by itself, demonstrate an intention to exclude.
• VAM categories do not replace qualitative evidence about subjective experience.
• The results refer to the corpus and spatial delimitation actually analysed.
• Transfer of the instrument to other contexts requires a specific assessment and does not alter the validity of the application conducted in Monte Carlo.

19

Reproducibility

VAM reproducibility is supported by a versioned Codebook, stable identifiers, Source Assets references, Spatial Scope, V1–V5 and A1–A5 scores, separate rationales for Visibility and Accessibility, and explicit calculation and classification rules.

The main public documentation is distributed across VAM Overview, Methodology & Codebook, Empirical Validation & Final Results, VAM Data, Empirical Case Profiles and MVFA–VAM Evidence & Code Guide.

Final Validation Conclusion

Empirical Validation Completed

The empirical application supports the use of the Visibility–Accessibility Matrix 2.0 as an operational instrument for classifying and comparing spatial units through two distinct axes and ten observable dimensions.

The final matrix comprises 75 cases, 750 dimension scores, overall means of Visibility = 71.33 and Accessibility = 66.60, and a differentiated empirical distribution across three observed configurations.

The model retains its V1–V5 / A1–A5 structure, the ordinal 0–4 scale, the 0–100 indices, equal weighting by dimension, descriptive bands, configuration thresholds, evidence traceability and methodological separation between VAM and SECP.

The Visibility–Accessibility Matrix 2.0 is a theoretically developed, operationally complete instrument that has been empirically applied and validated for the current version of the Monaco Research Observatory.