Tree Ring Width Simulator: Climate Proxy & Growth Analysis

simulator beginner ~8 min
Loading simulation...
RW = 1.82 mm — moderate growth at 15°C, 600 mm precip

At 15°C mean temperature and 600 mm precipitation, an 80-year-old tree with sensitivity 0.5 produces a ring width of 1.82 mm. This is typical of temperate conifers in moderate climates.

Formula

RW = G_max × min(f(T), f(P)) × exp(-k × age) × σ
RWI = RW / C(t) where C(t) is the fitted growth curve
BAI = π × (r² - (r - RW)²)

Reading Climate in Wood

Every year a tree adds a new layer of wood beneath its bark. In spring, large thin-walled cells form light earlywood; in summer, smaller thick-walled cells create dense latewood. Together they make one visible ring. The width of that ring depends on growing conditions — temperature, moisture, sunlight, and nutrients. By measuring rings from the bark inward, scientists read a year-by-year record of environmental conditions stretching back centuries or millennia.

The Growth Function

Ring width is controlled by the most limiting factor — the Liebig minimum principle. At treeline sites, temperature is limiting: warm summers produce wide rings. At arid sites, precipitation dominates. The growth function models this as the minimum of temperature and moisture response curves, scaled by a climate sensitivity parameter that varies by species and site.

Age Trends & Detrending

Young trees produce wide rings that narrow with age as the circumference increases. This biological trend must be removed to isolate climate signals. Detrending fits a curve (negative exponential, spline, or regional curve) to the raw ring-width series, then divides measured widths by expected widths to produce a dimensionless ring-width index (RWI). An RWI of 1.0 is average; deviations reflect climate forcing.

From Rings to Climate Records

Combining detrended series from multiple trees at a site produces a site chronology with reduced noise and strengthened climate signal. These chronologies underpin paleoclimate reconstructions, archaeological dating, and ecological studies worldwide. The International Tree-Ring Data Bank holds thousands of chronologies spanning every continent except Antarctica.

FAQ

How do tree rings record climate?

Trees grow one ring per year. In warm, wet years the ring is wide; in cold or dry years it is narrow. This climate-growth relationship makes ring width a powerful proxy for reconstructing past temperature and precipitation when instrumental records are absent.

What is a ring-width index?

The ring-width index (RWI) is the measured ring width divided by the expected width from the age-related growth trend. By removing the biological trend (detrending), RWI isolates the climate signal. An RWI of 1.0 means average growth; above 1.0 means better than expected.

Why does ring width decrease with tree age?

As a tree grows, each new ring must cover a larger circumference. Even if the tree adds the same volume of wood each year, the ring gets thinner. This geometric age trend must be removed (detrended) before climate analysis.

What is climate sensitivity in dendrochronology?

Climate sensitivity describes how strongly a tree's growth responds to climate variations. Trees at ecological margins (treeline, arid zones) show high sensitivity — their rings vary dramatically with climate. Trees in benign environments show complacent growth with little year-to-year variation.

Sources

Embed

<iframe src="https://homo-deus.com/lab/dendrochronology/ring-width/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub