Biostatistics & Population Health
Life expectancy and life table interpretation
— Considering cancer screening (mammography, colonoscopy, PSA, lung CT) in adults ≥65–75
— Considering tight glycemic, BP, or lipid targets in older adults
— Deciding on AAA repair, CEA, ICD placement, dialysis initiation, or major elective surgery
— Hospice eligibility (Medicare requires physician certification of LE ≤6 months if disease runs usual course)
— Advance care planning, POLST/MOLST completion, deprescribing
— Period life table: uses current cross-sectional mortality rates; assumes today's rates persist (most common, e.g., CDC/SSA tables)
— Cohort life table: follows a real birth cohort over time; reflects actual experience but only knowable retrospectively

— 72-year-old woman, independent, walks 2 miles daily, no chronic disease, asking about mammography
— Estimated LE often >15 years → continue screening; USPSTF supports mammography to age 74 and individualized after
— 82-year-old man with moderate dementia (MMSE 18), needs help bathing/dressing, prior CVA, CHF NYHA III
— Estimated LE often <5 years → stop routine cancer screening, focus on symptom control, fall prevention, advance directives
— 60-year-old with metastatic pancreatic cancer or ESRD on dialysis with multiple comorbidities; chronologic age misleads—disease-specific LE drives decisions
— Functional status (ADLs/IADLs) — single strongest predictor in older adults
— Unintentional weight loss >10 lb in 6 months
— Recent hospitalization, especially for pneumonia, hip fracture, HF exacerbation
— Dementia (median survival ~4–8 years from diagnosis; less if advanced)
— Comorbidity burden (Charlson index, number of meds)
— Social: living alone, food insecurity, no caregiver

— Measure usual walking speed over 4 meters
— <0.6 m/s → markedly reduced LE, high fall risk
— 0.8 m/s → near-median LE for age
— >1.0 m/s → above-average LE
— Sarcopenia, temporal wasting, loss of subcutaneous fat → cachexia, poor prognosis
— BMI <22 in older adults paradoxically associated with higher mortality than mild overweight
— Resting tachycardia, narrow pulse pressure (advanced HF)
— Hypotension on standing (autonomic dysfunction, polypharmacy)
— Cheyne-Stokes respirations (end-stage HF/neuro)
— JVD, ascites, anasarca in advanced HF/cirrhosis
— Asterixis, scleral icterus → hepatic decompensation (MELD predicts 3-month mortality)
— Uremic frost, pericardial rub → end-stage uremia

— x = exact age
— q(x) = probability of dying between age x and x+1 (age-specific mortality rate)
— l(x) = number alive at exact age x
— d(x) = number dying between x and x+1 = l(x) × q(x)
— L(x) = person-years lived between x and x+1
— T(x) = total person-years lived from age x onward = Σ L(x) from x to end
— e(x) = life expectancy at age x = T(x) / l(x)
— Given l(x) at two ages, compute survival probability: l(70)/l(60) = probability a 60-year-old survives to 70
— Recognize that e(x) rises slightly with age in older adults (a 75-year-old has higher LE than a newborn's LE minus 75, because they've already survived risky early years)
— e(0) (LE at birth) is heavily influenced by infant mortality; e(65) is the more useful number for adult medicine
— e(0) ≈ 77 years (M 74, F 80)
— e(65) ≈ 18–20 years
— e(75) ≈ 11–13 years
— e(85) ≈ 6–7 years

— Years expected to live in full health, discounting time lived with disability
— US e(0) ≈ 77; HALE ≈ 66 → ~11 years of life lived with significant morbidity
— Used in policy and shared decision-making ("you may live 10 more years but 4 with significant disability")
— DALY = YLL (years of life lost) + YLD (years lived with disability)
— 1 DALY = 1 year of healthy life lost
— Used by WHO/Global Burden of Disease to compare disease impact
— Key distinction: QALY (quality-adjusted life year) is a benefit measure used in cost-effectiveness (higher = better); DALY is a burden measure (higher = worse)
— Premature mortality metric: sum of (reference age − age at death) for deaths before a cutoff (often 75)
— Highlights diseases killing young (injury, suicide, overdose) vs old (Alzheimer's)
— Lee index — community-dwelling older adults, 4-, 10-, 14-yr mortality
— Schonberg index — similar, validated in women
— Walter index — post-hospital discharge 1-year mortality
— Charlson Comorbidity Index — comorbidity-weighted 10-yr survival
— Karnofsky / ECOG — cancer-specific functional prognosis

— Mammography: ~10 years
— Colonoscopy: ~10 years (FOBT/FIT: ~5 years)
— PSA screening: ~10–15 years
— Lung CT (LDCT): ~5–7 years
— Tight glycemic control (A1c <7): ~8 years for microvascular benefit
— Statin primary prevention: ~2–5 years
— BP control: ~1–2 years (stroke benefit can appear within months)
— Mammography: 40–74 (biennial 50–74 strong)
— Colorectal: 45–75 routine, 76–85 individualized, stop ≥85
— Cervical: stop at 65 if adequate prior screening
— PSA: individualized 55–69, against ≥70
— AAA one-time US: men 65–75 who ever smoked
— LDCT lung: 50–80, 20 pack-yr, current/quit <15 yr; stop when LE limited or unable/unwilling to undergo curative surgery
— LE >10 yr (e.g., healthy 75-yr-old) → all standard screening + aggressive risk factor control
— LE 5–10 yr → individualize, shared decision-making, deprescribe primary prevention statins
— LE <5 yr → stop routine screening, focus on symptom control, ACP
— LE <6 mo → hospice eligible

— Statins for primary prevention: lag to benefit 2–5 yr; in LE <1 yr, statins do not improve QoL or survival (Kutner trial supports discontinuation in advanced illness)
— Bisphosphonates: 3–5 yr lag; after 5 yr of therapy, consider drug holiday especially if LE limited
— Tight glycemic control: A1c target loosens to <8% or even <8.5% in frail older adults; avoid sulfonylureas and insulin when possible due to hypoglycemia
— Intensive BP control: SPRINT-style <120 may not apply; AGS suggests SBP 130–150 in frail elders
— Anticoagulation for AF: weigh CHA₂DS₂-VASc vs HAS-BLED and remaining LE; still often beneficial because stroke prevention lag is short
— Pain control (opioids, acetaminophen)
— Diuretics for symptomatic HF
— Bronchodilators for symptomatic COPD
— SSRIs for active depression
— Anticoagulation if recent VTE or mechanical valve
— Benzodiazepines, anticholinergics (diphenhydramine, oxybutynin), long-acting sulfonylureas (glyburide), NSAIDs in CKD, muscle relaxants

— Elective repair if aneurysm ≥5.5 cm (men) or ≥5.0 cm (women)
— Benefit requires LE >2–3 years; in frail patient with LE <2 yr, surveillance or palliation preferred
— Symptomatic 70–99% stenosis: clear benefit if LE >5 yr
— Asymptomatic: requires LE >5 yr and low surgical risk; otherwise medical therapy alone
— Indicated for EF ≤35% on GDMT
— Requires reasonable expectation of meaningful survival >1 year per ACC/AHA
— Avoid in NYHA IV non-transplant candidates, advanced dementia, terminal illness
— TAVR has expanded options for high/intermediate-risk elderly
— STS score + frailty + LE >1 yr supports TAVR; LE <1 yr → palliative balloon valvuloplasty or comfort care
— In patients >75 with high comorbidity, dialysis may not extend LE meaningfully vs conservative management
— Shared decision-making essential; "time-limited trial" is acceptable
— Lag to benefit ~1 yr; reasonable even with moderate LE if pain limits QoL
— Curative vs palliative intent depends on LE and performance status (ECOG 0–2 generally tolerates therapy; ECOG 3–4 → palliation)

— LE estimation must incorporate function, cognition, comorbidity—not age alone
— Use Lee/Schonberg indices; "eyeball" estimate: dependent in ADLs + ≥3 chronic conditions ≈ LE <5 yr
— Heterogeneity is enormous: top-quartile 80-year-olds may have LE >13 yr; bottom-quartile <3 yr
— CKD stage 3–4: LE roughly halved compared to age-matched peers
— ESRD on dialysis: 5-yr survival ~40% overall, much lower in elderly with comorbidities (5-yr survival for incident dialysis at age 75+ ~20–25%)
— Conservative (non-dialytic) management may yield similar LE with better QoL in highly comorbid elderly
— Step 3 management: When a 78-year-old with diabetes, HF, and CKD stage 5 asks about dialysis, present dialysis vs conservative care as comparable options, involve nephrology + palliative care, and document shared decision—do not default to "start dialysis"
— MELD-Na predicts 3-month mortality and drives transplant priority
— MELD 15 ≈ 6%, MELD 25 ≈ 20%, MELD 35+ ≈ 50%+ 3-month mortality
— Child-Pugh historical but still used: A (1-yr 100%), B (80%), C (45%)
— Decompensation events (variceal bleed, SBP, HRS, HE) drop median survival to ~2 yr without transplant
— Seattle HF Model and MAGGIC risk score quantify LE
— Advanced HF (NYHA IV, frequent hospitalizations, inotrope-dependent): 1-yr mortality 25–50%
— Triggers palliative care consult, LVAD/transplant evaluation, or hospice depending on candidacy

— LE at birth dominated historically by infant mortality (deaths <1 yr); now dominated by injury and congenital conditions in HICs
— Infant mortality rate (IMR) = deaths <1 yr / 1000 live births; sensitive indicator of population health
— US IMR ~5.4/1000—worse than peer high-income countries, with stark racial disparities (Black infants ~2× white)
— Neonatal mortality (<28 d) vs post-neonatal (28 d–1 yr) — neonatal driven by prematurity/congenital, post-neonatal by SIDS, injury, infection
— Pediatric LE projections rarely tested directly; epidemiologic concepts (IMR, U5MR) more common
— Maternal mortality ratio: deaths per 100,000 live births; US ~22, highest among HICs, with 3–4× disparity for Black women
— Pregnancy-related LE loss = major contributor to disparities in YPLL
— Step 3 may frame as quality/safety: postpartum follow-up at 1–3 wk, screen for hypertension, depression, cardiomyopathy
— Non-Hispanic Black e(0) ~5 yr lower than non-Hispanic White
— American Indian/Alaska Native e(0) significantly reduced (worsened post-COVID)
— Income gradient: top 1% vs bottom 1% males differ by ~15 yr in LE
— Geography: rural Appalachia, Deep South ~10 yr below coastal urban
— Drivers: structural inequities, healthcare access, chronic disease prevalence, violence, overdose

— Screening colonoscopy in 85-yr-old with dementia → complications, no benefit
— Aggressive A1c <7 with insulin in frail diabetic → hypoglycemia, falls, fractures
— Statin started for primary prevention in patient with metastatic cancer → pill burden, myalgia
— Anticoagulation in high-fall-risk demented patient without atrial fibrillation history misjudged
— Defibrillator placed in patient with <1 yr LE → end-of-life shocks, distressing death
— Withholding mammography from healthy independent 76-yr-old → missed early breast cancer
— Not offering AAA repair to robust 78-yr-old with 6 cm aneurysm
— Ageism: assuming all 80+ patients are "too old" for chemotherapy when ECOG 0–1 patients often tolerate it
— Failure to control BP in elderly because of fear of side effects—stroke benefit accrues quickly
— Quoting population median LE as if it applied to an individual ("you have 8 years left")
— Failing to distinguish median from mean in skewed distributions
— Not framing as range with uncertainty
— Chronologic age anchoring (treating 80 as a cutoff)
— "Surprise question" — "Would I be surprised if this patient died in the next year?"—a NO suggests palliative care consult; useful counter-anchor

— Triggered by serious illness regardless of prognosis
— Symptom burden, complex decision-making, family distress, frequent ED visits
— Should be early and concurrent, not "end-stage only"
— Physician certifies LE ≤6 months if disease runs usual course
— Patient elects comfort-focused care, foregoes curative therapy for terminal diagnosis
— Covers nursing, aides, meds related to terminal diagnosis, equipment, bereavement
— Recertification at 90 days, 90 days, then 60-day periods; can extend indefinitely if still eligible
— Patients can revoke at any time
— Cancer: metastatic, declining performance status, ECOG ≥3
— Dementia: FAST stage 7, comorbid pneumonia/UTI/pressure ulcer, weight loss, dysphagia
— HF: NYHA IV, optimal therapy, EF ≤20%, recurrent admissions
— COPD: dyspnea at rest, O₂-dependent, FEV1 <30%, frequent ED visits
— ESRD: not on dialysis, CrCl <10, symptomatic uremia
— Stroke: poor functional recovery, dysphagia, weight loss, recurrent infections

— Average remaining years from age x; derived from life table
— Period vs cohort calculation
— Time at which 50% of a defined cohort has died
— Preferred for skewed distributions (cancer); easier for patients to understand
— Proportion alive 5 yr after diagnosis
— Subject to lead-time bias (earlier diagnosis inflates apparent survival without delaying death) and length-time bias (screening catches slower-growing disease preferentially)
— Deaths per population per time (e.g., 8 per 1000 per year)
— Crude vs age-adjusted (standardized) — age-adjusted needed when comparing populations with different age structures
— Cause-specific mortality = deaths from specific cause / total population
— Case fatality rate = deaths from disease / cases of disease (severity measure)
— Observed deaths / expected deaths (based on reference population)
— SMR >1 = excess mortality; useful for occupational cohorts, hospitals

— Crude birth rate: births per 1000 population
— Total fertility rate (TFR): lifetime births per woman; replacement ≈ 2.1
— Dependency ratio: (population <15 + >64) / population 15–64
— Aging populations (Japan, much of EU, increasingly US) → rising dependency ratio → strains on Medicare/SS
— YPLL (covered)
— Deaths before age 75 — useful policy benchmark
— Amenable mortality: deaths preventable with timely effective care (e.g., treatable cancers, appendicitis); higher in US than peer nations
— Preventable mortality: deaths preventable with public health interventions (tobacco, vaccination, injury prevention)
— HDI (Human Development Index): LE + education + income
— Bloomberg Healthiest Country Index, OECD Better Life Index
— Black-White LE gap narrows at very old ages ("crossover")—partly survival bias, partly differential mortality selection

— Estimated LE range (e.g., "5–10 years") with brief rationale (age, comorbidities, function, ePrognosis output)
— Screening decisions: which to continue, which to stop, with reasoning
— Preventive medication review: continue, deprescribe, or shorten
— Symptom management goals
— Advance directives: healthcare proxy, living will, POLST/MOLST as appropriate
— Code status: full code, DNR, DNI, comfort measures only
— Identified caregivers and decision-makers
— Stop: primary prevention statins (LE <1–2 yr), bisphosphonates after 5 yr, aspirin for primary prevention in older adults (USPSTF now recommends against starting ≥60)
— Loosen: A1c target to <8–8.5%, BP target individualized
— Continue: symptom meds, secondary prevention with short lag (anticoagulation, BP control)
— Age 65+ wellness visit (Medicare ACP benefit, billable code)
— New serious diagnosis
— Functional decline
— Hospital discharge after major event
— Portable medical orders, not just preferences
— Travels across care settings (home, hospital, SNF, EMS)
— Distinct from living will (statement of values) and healthcare proxy (decision-maker)

— Annual Medicare wellness visit for 65+
— Every 1–2 yr functional/cognitive assessment in 75+
— After every hospitalization, especially for pneumonia, hip fracture, HF
— After any new diagnosis altering trajectory (cancer, dementia, advanced organ failure)
— New ADL dependence
— Unintentional weight loss >5% in 6–12 mo
— Gait speed decline
— Cognitive decline (≥2 point MoCA drop)
— Recurrent infections, pressure injuries
— Falls with injury
— Use plain language: "About half of people like you live more than X years; half less"
— Acknowledge uncertainty: ranges, not point estimates
— Frame around values: "What matters most to you in the time ahead?"
— Use Serious Illness Conversation Guide or Vital Talk frameworks
— Ask permission before sharing prognosis ("Would it be helpful to talk about what to expect?")
— Survivorship care plans should address surveillance, late effects, secondary prevention, return to function
— Cardiac rehab post-MI/CABG/HF: improves LE and QoL across age groups when functional status permits
— Pulmonary rehab in COPD: GOLD recommends across stages; improves dyspnea, exercise capacity
— PT/OT for fall prevention, ADL training in frail elders

— Patients have the right to know their prognosis; physicians have a duty to disclose when patients want to know
— Avoid therapeutic privilege misuse (withholding prognosis "to spare" patient); rarely justified in modern practice
— Cultural humility: some patients/families prefer indirect or family-mediated disclosure—ask: "Are you the kind of person who likes to know all the details, or do you prefer I share with your family?"
— Decision-specific, not global
— Hierarchy when no proxy designated (state-dependent): spouse → adult children → parents → siblings
— Substituted judgment (what would patient want) preferred over best interest when proxy knows patient
— Denying treatment based on age alone is unethical and often illegal (Age Discrimination Act)
— Decisions must be based on individualized risk-benefit, not chronologic age
— Withdrawal vs withholding: ethically and legally equivalent
— Double effect: appropriate symptom management (opioids for dyspnea) is ethical even if it may hasten death
— POLST is not a DNR alone—covers full spectrum of orders
— Medical aid in dying: legal in some states with strict criteria (terminal diagnosis, LE ≤6 mo, capacity, waiting period); know it exists, know not all states permit
— Elder abuse/neglect: mandatory in most states; suspicion of abuse in declining elder requires APS report
— Hospital → SNF or home: medication errors, missed follow-up, code status not transmitted
— POLST and code status must accompany transfer

— Mammo / colon / PSA ≈ 10 yr
— Statin primary prevention ≈ 2–5 yr
— Tight glucose ≈ 8 yr
— BP control ≈ 1–2 yr
— Anticoagulation for AF ≈ months


In Step 3 practice, life expectancy is the lens through which every screening, prevention, and major-intervention decision in older or seriously ill adults must be filtered—matched against lag time to benefit—so that care aligns with how much time and function the patient actually has, not with chronologic age or reflexive protocol.

