Table 5. Interpretive scope of spatial and spatiotemporal indicator categories.
Local indicators Main indicators Primary descriptive use Interpretive boundary
Individual actions and local spatial indicators Shot location, spatial field-goal efficiency, shooter-to-basket distance, shot distance, nearest- defender distance, and shot angle. Describe the immediate spatial conditions of a shot, including its location, the shooter’s distance to the basket, and the space available at the moment of shooting. These indicators describe the immediate shot condition, but not the full possession process that produced it. Stronger tactical interpretation requires information on the preceding pass, dribble, screen, or defensive rotation.
Interactional indicators Dyadic relative phase, attacker-defender interpersonal distance, passer-receiver relations, secondary-assist indicators, and space-creation dynamics concatenations. Describe player-player relations, including coordination, interpersonal spacing, passing links, and offensive action sequences within possessions. These indicators show how players were related in space and time, but they cannot determine on their own whether the relation reflected planned execution, defensive breakdown, or late-possession adaptation.
Collective indicators Team spatial center, stretch index, court-area occupation ratio, team area, team width, team length, centroid movement, spatial phase clusters, and transition probabilities. Describe team shape, spacing, expansion, contraction, court occupation, and transitions between recurring spatial configurations. These indicators characterize collective structure, but their tactical meaning depends on possession phase, ball location, opponent organization, and sequence outcome.
Defensive- impact indicators Defensive shot frequency effect, defensive shot efficiency effect, nearest-defender distance, defender- related shot angle, contest-related shot-trajectory factors, and trajectory-based defensive impact. Describe how defender location, proximity, and contest conditions are associated with shot selection, shot success, and shot trajectory. These indicators can inform defensive evaluation, but individual defensive impact should be interpreted with caution because assignments, help defense, switching, and team coverage shape the observed effect.
Model-derived indicators and complexity measures Expected possession value, offensive network transition parameters, density-functional player-density fields and interaction parameters, player gravity, and intrinsic dimension. Estimate possession value, player-lineup interactions, spatial influence, player gravity, and movement complexity from high- dimensional tracking data. These indicators provide model-based summaries rather than direct tactical labels. Their interpretation depends on model inputs, state definitions, segmentation rules, and validation evidence.