Poincaré Plot

SD1, SD2, and the shape of your heart rhythm

What is a Poincaré Plot?

A Poincaré plot is a scatter plot where each RR interval is plotted against the next RR interval. For every pair of consecutive intervals (RRn, RRn+1), you place one dot on the graph.

This simple technique reveals patterns in your heart rhythm that numbers alone can't show.

RRn (ms) RRn+1 (ms) 700 800 900 1000 1100 700 800 900 1000 1100 identity line SD1 SD2
Each dot = one pair of consecutive RR intervals. The ellipse captures the shape of the scatter.

SD1 and SD2

An ellipse is fitted to the scatter cloud. Its two axes tell you different things:

AxisDirectionMeasures
SD1 Perpendicular to identity line Short-term variability (beat-to-beat)
SD2 Along the identity line Long-term variability (overall trend)
SD1 = RMSSD / √2      SD2 = √(2·SDNN² − ½·RMSSD²)
Intuition: SD1 tells you how much the heart "jumps" from one beat to the next. SD2 tells you how much the overall heart rate drifts over time. Together, they decompose total variability into its fast and slow components.

Reading the Ellipse Shape

The shape of the Poincaré ellipse is a powerful visual fingerprint of your autonomic state. Here are the key shapes to recognize:

Circle SD1 ≈ SD2 SD1 SD2 Balanced autonomic state Elongated Ellipse SD2 >> SD1 SD1 (small) SD2 (large) Sympathetic dominance Wide / "Fat" Ellipse SD1 >> SD2 SD1 (large) SD2 (small) Parasympathetic dominance Tight Dot SD1 ≈ SD2 ≈ 0 Very low HRV / rigid rhythm Dashed purple line = identity (RRn = RRn+1) The ellipse shape is your autonomic fingerprint
Four characteristic Poincaré shapes and what they mean

The Shape as an Intuitive Visual Cue

Forget the numbers for a moment. Just look at the shape:

Circle → "Balanced"

Short-term and long-term variability are roughly equal. Your autonomic nervous system is well-balanced. Think of it like a ball that can roll freely in any direction — your heart has equal flexibility for quick adjustments and gradual shifts.

Elongated Ellipse (stretched along the diagonal) → "Drifting"

Your heart rate drifts up and down over time (high SD2), but doesn't jump much from one beat to the next (low SD1). This is typical during exercise, stress, or sympathetic activation. Imagine a train on tracks — it can travel far (long-term change) but can't swerve sideways (short-term change).

Fat/Wide Ellipse (spread perpendicular to diagonal) → "Jumpy"

Big beat-to-beat jumps (high SD1) but the average heart rate stays relatively stable (low SD2). This reflects strong parasympathetic (vagal) activity — the vagus nerve rapidly modulating each heartbeat. Like a person standing in place but dancing — lots of local movement, not much travel.

Tight Dot → "Rigid"

Almost no variability in any direction. The heart beats like a metronome. This can indicate extreme stress, fatigue, or autonomic dysfunction. Like a frozen gear — no flexibility at all.

The SD1/SD2 Ratio

The ratio SD1/SD2 quantifies the ellipse shape:

SD1/SD2ShapeMeaning
≈ 1.0CircleBalanced autonomic activity
< 0.5ElongatedSympathetic dominance, long-term drift
> 1.0Wide/fatParasympathetic dominance, beat-to-beat jumps
Quick rule of thumb: If the cloud is "taller" than "wide" (elongated along the diagonal), sympathetic dominance prevails. If it's "wider" than "tall" (spread off the diagonal), parasympathetic dominance prevails.

Connecting SD1 to RMSSD

SD1 is mathematically identical to a scaled version of RMSSD:

SD1 = RMSSD / √2 ≈ RMSSD × 0.707

This makes sense: SD1 measures scatter perpendicular to the identity line, which captures beat-to-beat differences — exactly what RMSSD does. The Poincaré plot gives you a visual way to see what RMSSD measures numerically.

Connecting SD2 to SDNN

SD2 relates to overall variability (SDNN) and short-term variability (RMSSD):

SD2 = √(2 · SDNN² − ½ · RMSSD²)

SD2 captures the "remaining" variability after removing the short-term component — essentially the slower, trend-like changes in heart rate.

Summary: All Metrics Connected

SDNN Overall variability RMSSD Beat-to-beat pNN50 SD1 Short-term SD2 Long-term / √2
How all five HRV metrics relate to each other