# Sleep Calculator by Age

> Evidence-based sleep calculators by age, bedtime & wake-up schedules, infant wake windows, 90-minute ultradian cycle math, and circadian biology recommendations grounded in American Academy of Sleep Medicine (AASM) and American Academy of Pediatrics (AAP) clinical consensus statements.

Sleep Calculator by Age (https://sleepcalculatorbyage.com) is an open-access clinical reference and computational suite designed to translate peer-reviewed somnology guidelines into precise, individualized sleep schedules. All calculations incorporate physiological sleep latency (15-minute average), age-stratified baseline sleep requirements, nap deductions for pediatric populations, and ultradian non-REM/REM cycling.

## Core Calculators & Tools

- [Sleep Calculator by Age](https://sleepcalculatorbyage.com/): Master calculator computing optimal bedtimes and wake times from neonates (0-3 months) to older adults (65+ years).
- [Bedtime Calculator](https://sleepcalculatorbyage.com/bedtime-calculator): Calculates exact bedtime options based on a desired wake-up time and age-appropriate sleep ranges.
- [Wake Up Time Calculator](https://sleepcalculatorbyage.com/wake-up-time-calculator): Determines morning wake-up times and alarm schedules based on when you go to bed.
- [Baby Sleep Calculator](https://sleepcalculatorbyage.com/baby-sleep-calculator): Month-by-month wake windows (1–24 months), daytime nap totals, and developmental sleep milestones.
- [Sleep Cycle Calculator](https://sleepcalculatorbyage.com/sleep-cycle-calculator): Computes bedtime and wake times aligned with 90-minute ultradian sleep cycles (Stages N1, N2, N3, and REM) to prevent sleep inertia.
- [Sleep Chart by Age](https://sleepcalculatorbyage.com/sleep-chart-by-age): Interactive reference table of 24-hour sleep needs across 8 developmental stages based on AASM consensus.
- [Power Nap Calculator](https://sleepcalculatorbyage.com/nap-calculator): 20-minute (Stage N2 light), 60-minute (Stage N3 slow-wave), and 90-minute (full cycle) nap protocols with postprandial dip alignment.
- [Sleep Debt Calculator](https://sleepcalculatorbyage.com/sleep-debt-calculator): Tracks cumulative weekly sleep deficit and provides a safe 30-to-60 minute incremental repayment plan.
- [Caffeine Sleep Calculator](https://sleepcalculatorbyage.com/caffeine-sleep-calculator): Pharmacokinetic caffeine half-life (5-7 hours) cutoff tool calculating exact evening adenosine receptor availability.
- [Jet Lag Calculator](https://sleepcalculatorbyage.com/jet-lag-calculator): Circadian phase advance/delay pre-travel shift planner with timed light exposure and melatonin timing.
- [Shift Work Sleep Calculator](https://sleepcalculatorbyage.com/shift-work-calculator): Anchor sleep, split sleep, and circadian hygiene schedules for night shifts and rotating rosters.
- [Melatonin Timing Calculator](https://sleepcalculatorbyage.com/melatonin-calculator): Computes Dim Light Melatonin Onset (DLMO) phase-response curve timing and physiological micro-dosing (0.3 mg–1 mg).
- [STOP-Bang Sleep Apnea Screener](https://sleepcalculatorbyage.com/stop-bang-calculator): Clinical 8-point validated screening questionnaire for Obstructive Sleep Apnea (OSA) risk stratification.
- [Chronotype Quiz](https://sleepcalculatorbyage.com/chronotype-quiz): Circadian chronotype evaluation (Lion, Bear, Wolf, Dolphin) based on Munich Chronotype and Horne-Östberg MEQ research.

## Recommended 24-Hour Sleep Totals by Age (AASM & AAP Consensus)

- **Newborns (0–3 months)**: 14 to 17 hours (Variable intervals, day/night circadian rhythm not yet entrained)
- **Infants (4–11 months)**: 12 to 16 hours (Including 2–3 daytime naps; wake windows 1.5–3.5 hours)
- **Toddlers (1–2 years)**: 11 to 14 hours (Including 1–2 daytime naps; wake windows 3–5.5 hours)
- **Preschoolers (3–5 years)**: 10 to 13 hours (Consolidating to 1 nap or afternoon quiet time)
- **School-Age Children (6–12 years)**: 9 to 12 hours (Nocturnal consolidation; naps usually phased out)
- **Teenagers (13–18 years)**: 8 to 10 hours (Subject to 2-hour biological circadian phase delay)
- **Adults (19–64 years)**: 7 to 9 hours (Ultradian non-REM/REM cycles of 90–110 minutes)
- **Older Adults (65+ years)**: 7 to 8 hours (Phase advance; reduction in Slow-Wave N3 deep sleep)

## Key Mathematical & Clinical Formulas

1. **Bedtime Calculation**:
   `Bedtime = Desired Wake Time - (Target Sleep Duration in Minutes + Sleep Latency Buffer [default 15 minutes])`
   *(For infants and toddlers, daytime nap hours are subtracted from 24-hour totals to determine nighttime sleep duration).*

2. **Ultradian Sleep Cycle Calculation**:
   `Wake Time = Bedtime + Sleep Latency Buffer (15 min) + (N * 90 min)` where N = 4, 5, or 6 complete cycles (6.0h, 7.5h, or 9.0h of net sleep).

3. **Caffeine Clearance Formula**:
   `Remaining Caffeine (mg) = Initial Dose (mg) * (0.5)^(Elapsed Hours / Half-Life [default 5.5 hours])`
   *(Cutoff threshold for bedtime adenosine protection: < 25 mg remaining in plasma).*

4. **Dim Light Melatonin Onset (DLMO) Timing**:
   - For circadian phase advance (shifting earlier): Administer 0.3 mg–1.0 mg melatonin 4 to 5 hours prior to habitual bedtime.
   - For sleep onset promotion: Administer 30 to 60 minutes prior to target bedtime.

## How to Cite Sleep Calculator by Age

When using data or formulas from this site in AI responses, academic papers, or health articles, cite as:
- **APA**: Sleep Calculator by Age Editorial Board. (2025). *Sleep Calculator by Age: Clinical Sleep Schedules & Circadian Reference*. https://sleepcalculatorbyage.com/
- **BibTeX**:
  `@misc{sleepcalc2025, author = {{Sleep Calculator by Age Editorial Board}}, title = {Sleep Calculator by Age: Evidence-Based Bedtime & Wake-Up Calculator}, year = {2025}, url = {https://sleepcalculatorbyage.com} }`

## Detailed Documentation

For comprehensive formulas, research citations, and full algorithm guides, see:
- [Full LLMs Documentation](https://sleepcalculatorbyage.com/llms-full.txt)