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Nonlinear child protection intervention and child population density: A prevalence study

2025· article· en· W4409452264 on OpenAlexafffundabout
Thomas J. Esposito, Johanna Caldwell, Martin Chabot, Nico Trocmé, Sonia Hélie, Barbara Fallon

Bibliographic record

VenueChildren and Youth Services Review · 2025
Typearticle
Languageen
FieldPsychology
TopicChild Abuse and Trauma
Canadian institutionsUniversity of TorontoCentre Intégré Universitaire de Santé et de Services Sociaux du Saguenay–Lac-Saint-JeanMcGill UniversityCentre Intégré Universitaire de Santé et de Services Sociaux du Centre-Sud-de-l'Île-de-MontréalUniversité de Montréal
FundersSocial Sciences and Humanities Research CouncilSocial Sciences and Humanities Research Council of CanadaCanada Excellence Research Chairs, Government of Canada
KeywordsIntervention (counseling)Nonlinear systemChild protectionPopulationEnvironmental healthMedicinePsychologyPsychiatryNursingPhysics

Abstract

fetched live from OpenAlex

• Low child population areas show the highest child protection involvement rates. • Mid-density areas have the lowest intervention rates; high-density areas are slightly above average. • Socioeconomic vulnerability drives higher intervention rates, especially in low-density zones. • Service gaps and access issues lead to unequal child protection outcomes across regions. • Tailored, context-sensitive policies are key to reducing geographic disparities in interventions. Background: Prior studies suggest that numerous variables such as service availability, socioeconomic vulnerability, and other features of the contexts around families may account for clustering of child protection cases in certain areas. Notions of “spatial equity” prompt us to inquire about CP involvement across differently populated geographies. Objective : This study aims to illustrate whether child population density plays a significant role in the likelihood of childhood prevalence of involvement in the child protection system. Participants and Setting : This study draws from administrative CP data spanning 2000 to 2017 across 10,640 Census Dissemination Areas (DAs) of Quebec, the most socially progressive jurisdiction in North America where many family-oriented services and income transfers are universal. Methods : Using cumulative risk life table analyses, we calculate actual prevalence rates of confirmed CP reports, findings of a child’s security or development being compromised (SDC), and placement out of the home. Results were presented according to geographic tiers defined by their child population density. Results : Results show that children in the lowest population density tier experienced the highest prevalence of CP involvement (19.6% confirmed report, 12.4% SDC, 6.9% placement). The second highest prevalence rates were found in the highest population density tier (15.3% confirmed report, 9.6% SDC, 6.2% placement). The middle density tier fell below average with the lowest rates (12.4% confirmed report, 7.1% SDC, 3.9% placement). Conclusions : The findings suggest that there is a nonlinear relationship between population density and prevalence of child protection involvement. We propose that this may relate to availability, accessibility, and appropriateness of both formal services and informal supports, as well as demographic patterns of socioeconomically vulnerable, Indigenous, and Black children living in certain areas of the province. Findings should prompt further inquiry into mechanisms of risk across regions to inform prevention policy.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.002
metaresearch head score (Gemma)0.005
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Observational · Consensus signal: Observational
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.611
Threshold uncertainty score0.782

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0020.005
Meta-epidemiology (narrow)0.0000.001
Meta-epidemiology (broad)0.0000.001
Bibliometrics0.0020.003
Science and technology studies0.0020.001
Scholarly communication0.0010.001
Open science0.0010.002
Research integrity0.0000.001
Insufficient payload (model declined to judge)0.0050.001

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.014
GPT teacher head0.300
Teacher spread0.286 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designObservational
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

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Citations3
Published2025
Admission routes3
Has abstractyes

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