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Add DLA and SDA documentation page (#771)#1709

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Add DLA and SDA documentation page (#771)#1709
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vahid-ahmadi/issue-771-dla-sda-docs

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Summary

  • Ticks off the DLA and SDA entries in Documentation pages #771's docs-pages todo list with a single page covering both closed-to-new-claims legacy disability benefits.
  • New page at docs/book/programs/gov/dwp/disability-legacy-benefits.md covering:
    • DLA mobility and self-care components (variables dla_m, dla_sc), the categorical band inputs (dla_m_category, dla_sc_category), the weekly-rate -> annual multiplication, and a note on why eligibility isn't re-derived (calibration handles the post-2013 migration to PIP in policyengine-uk-data).
    • SDA as a binary read from sda_reported times the maximum age-related addition, with the simplification explained.
  • References: SSCBA 1992 s.68/s.71, the Welfare Reform Acts that closed both schemes, the PIP transitional regulations, and the DWP caseload statistics page used for calibration.

Test plan

  • Markdown lints cleanly (table, code blocks, cross-link to ./PIP.ipynb).
  • Docs build job picks up the new page under programs/gov/dwp/.

🤖 Generated with Claude Code

Ticks off the DLA and SDA entries in #771's docs-pages todo list.

Combined into one page because both are closed-to-new-claims legacy DWP
disability benefits with very small modelling surface area:

- DLA: two component variables (dla_m, dla_sc), each taking a
  categorical band from the dataset input and multiplying the weekly
  rate by WEEKS_IN_YEAR. The eligibility-by-activity scoring is not
  re-derived because the dataset records bands directly; the relevant
  population (under-16s and unmigrated working-age recipients) is set
  by the calibration step in policyengine-uk-data.
- SDA: single weekly flat-rate payment, binary eligibility taken from
  sda_reported, maximum age-related addition assumed (justified because
  the remaining 2001-frozen caseload skews old).

References cover SSCBA 1992 s.68/s.71, the Welfare Reform Acts that
closed both schemes to new claims, and the DWP caseload statistics page
used for calibration.
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