ECSL · நம்பிக்கை சிதைவு · மீட்பு
Trust Decay & Restoration
Public trust in a service decays exponentially after a violation and restores logistically through verified accountability events.
Design study plaque · Trust Decay & Restoration
ECSL is a public design-research surface under TLTE. No service exists. No operational authority is claimed. In an emergency call UK 999, EU 112, or the relevant Sri Lanka emergency line.Formulae
T(t) = T_{0} \, e^{-\lambda (t - t_v)} \;+\; \frac{T_{\max} - T_{0}\,e^{-\lambda(t-t_v)}}{1 + e^{-k (n_{a}(t) - n_{0})}}Variables
- T(t)
- Trust at era t (0–1)
- T₀
- Trust at the moment of violation t_v
- T_max
- Achievable ceiling (always ≤ 1)
- λ
- Decay rate (per era) after a violation
- n_a(t)
- Verified accountability events since t_v
- k, n₀
- Logistic restoration slope & midpoint
Meaning
After a violation (a shooting, a wrongful arrest, a publicised disappearance), trust falls fast and rises slowly. Restoration is not linear — it needs accumulated, verified accountability events before each marginal event begins to move the curve. Patten Commission evidence and PSNI survey series motivate the logistic restoration term.
Interactive sandbox
Trust decay & restoration · T(t)
Sample · illustrative · 0 verified this era
Now · இரு-அடுக்கு (1)
A descriptive model anchored to Patten Commission, PSNI public-perceptions series and Tom Tyler's procedural-justice literature. Used in ECSL Training Academy curriculum drafts. Never run against a real population.
Becoming · இரு-அடுக்கு (2)
A trust-curve dashboard a future Public Safety Service would publish every era — alongside its complaint, use-of-force and response-time statistics — to make legitimacy a measurable, structural condition rather than a rhetorical claim.
Anchor literature
- Patten Commission Report 1999
- PSNI · Public Perceptions of the Police Survey (annual)
- Tom Tyler · Why People Obey the Law (1990)
- Jackson & Bradford · procedural-justice meta-analyses
Honest ceiling
T(t) is a population-level descriptor. It is never computed for a person, never used to score an officer, and never used to predict a future violation.