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  1. Home
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  3. /Plant Growth
  4. /Relative Growth Rate

Relative Growth Rate

Last updated: March 28, 2026

Calculator

Results

Relative Growth Rate (RGR)

0.07847

g/g/day

Doubling Time

8.8

days

Total Growth

200.0%

Results

Relative Growth Rate (RGR)

0.07847

g/g/day

Doubling Time

8.8

days

Total Growth

200.0%

The Relative Growth Rate (RGR) Calculator computes the rate of mass increase per unit mass per unit time, the standard metric for comparing plant growth across species, treatments, or environmental conditions. RGR removes the influence of initial size, allowing meaningful comparisons between plants of different starting masses. It is one of the most fundamental parameters in plant growth analysis.

Enter the initial and final dry masses and the time interval to obtain RGR (in g/g/day), the doubling time, and the total percentage growth. This tool is essential for ecology experiments, crop growth studies, and plant physiology research.

Visual Analysis

How It Works

The calculator uses the classical RGR formula:

RGR = (ln W₂ - ln W₁) / (t₂ - t₁)

Where W₁ and W₂ are the dry masses at times t₁ and t₂, and ln denotes the natural logarithm. This formula assumes exponential growth over the measurement interval. Additional outputs include:

  • Doubling Time = ln(2) / RGR
  • Total Growth % = ((W₂ - W₁) / W₁) x 100

RGR is typically expressed in g/g/day, meaning grams of new mass per gram of existing mass per day.

Worked Examples

Fast-Growing Seedling

Inputs

w15
w215
t10
t214

Results

rgr0.07847
doubling time8.8
growth pct200

A seedling tripling its mass from 5 to 15 g in 14 days has an RGR of 0.078 g/g/day with a doubling time of 8.8 days.

Slow-Growing Tree Sapling

Inputs

w1100
w2120
t10
t260

Results

rgr0.00304
doubling time228.1
growth pct20

A sapling growing from 100 to 120 g in 60 days has a much lower RGR of 0.003 g/g/day.

Frequently Asked Questions

Absolute growth rate (grams per day) depends on plant size; a large plant naturally gains more mass per day than a small one. RGR normalizes for initial size, expressing growth as a rate per unit mass. This allows fair comparisons between species of different sizes, between developmental stages, or between experimental treatments. It is the plant equivalent of specific growth rate in microbiology.

Typical RGR values range from about 0.01-0.05 g/g/day for slow-growing woody species to 0.1-0.3 g/g/day for fast-growing herbaceous plants and seedlings. Aquatic plants and algae can have even higher RGR values. RGR generally decreases as plants get larger and older, as more biomass is allocated to structural support rather than new growth.

Yes. RGR is typically highest during early growth when most biomass is photosynthetic leaf tissue, and it declines as plants mature and allocate more resources to stems, roots, and reproductive structures. For this reason, RGR comparisons are most meaningful when made over the same growth stage or size range, and over short enough intervals that the assumption of exponential growth is reasonable.

Sources & Methodology

Hunt, R. (1982) Plant Growth Curves. Lambers, H. et al. Plant Physiological Ecology. Poorter, H. & Garnier, E. (2007) Ecological significance of inherent variation in relative growth rate.
R

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