Calculating growth-to-drain ratios from forest inventory data

There’s no better way to understand harvest sustainability across a region than to calculate the growth/drain ratio.
Forest growth
growth and yield
forest measurements
Published

November 25, 2024

One of the most effective metrics to assess the sustainability of harvesting practices in a forest region is the growth/drain ratio. It is calculated by dividing the growth of a forest attribute by the amount removed through harvests, i.e., “drained”. The same units, geographic area, and time period (e.g., annual) are required to make the calculation.

A growth/drain ratio of 1 indicates harvest removals equal to forest growth, i.e., a sustainable harvest level is reached. A growth/drain ratio greater than 1 indicates forest growth that exceeds harvest levels, and a ratio less than 1 indicates harvests that exceed growth. (Not sustainable in the long term.) For example, a growth/drain ratio of 1.5 indicates 1.5 times as much volume/biomass would grow over a time period than was harvested.

Net growth is commonly used when calculating growth/drain ratios, as it represents forest growth over a specified growth period after deducting mortality. Removals are commonly measured as forest volume or biomass and are expressed in the same units and time period as growth.

As a case study, consider the US state of Minnesota. The Forest Inventory and Analysis program of the USDA Forest Service has been collecting information across thousands of plots in Minnesota forests, so we have data to determine growth/drain ratios for a variety of conditions across the state.

For units, we’ll use the average annual net growth and removals of aboveground tree biomass (all trees at least 1-inch in diameter). Data were collected from 2018 through 2022.

Say we’re interested in the four primary ownerships within the state. Harvests removals generally occurred on less than 10% of all plots, with growth/drain ratios ranging from 1.52 on State-owned lands to 3.67 on private ownerships:

Growth-to-drain ratios for Minnesota ownerships, 2018-2022.
Ownership Num plots (growth) Net growth (US tons) Num plots (removals) Removals (US tons) Growth: drain ratio
National Forest 628 1,808,947 42 520,043 3.48
State 1,331 2,795,066 127 1,841,482 1.52
County and Municipal 919 2,597,581 93 1,486,456 1.75
Private 2,746 7,732,836 250 2,109,489 3.67

Ratios indicate growth exceeded removals over this time period, in particular on private lands and National Forests. Forestry professionals from outside the region might be surprised to see that growth/drain ratios on public lands are lower than on private lands. (Opposite trends exist in the southeastern US). Publicly-owned forests managed by the state and counties are some of the most intensively-managed ones in Minnesota.

We can also visualize growth/drain ratios by county to see geographic differences. The following map is limited to counties that showed a minimum of nine harvest events occurring in the county (all which are located in the northeastern region of the state). Counties in red show a growth/drain ratio closer to 1:

We can see that growth drain ratios ranged from 0.77 (Aitkin County) to 4.89 (Cook County):

Growth-to-drain ratios for Minnesota by county, 2018-2022.
County Num plots (growth) Net growth (US tons) Num plots (removals) Removals (US tons) Growth: drain ratio
Aitkin 275 399,874 31 518,620 0.77
Becker 105 270,062 17 83,690 3.23
Beltrami 336 713,885 30 296,053 2.41
Carlton 108 201,626 9 190,187 1.06
Cass 291 821,138 29 319,851 2.57
Clearwater 107 316,782 10 116,938 2.71
Cook 211 651,677 16 133,276 4.89
Crow Wing 131 405,563 15 172,040 2.36
Hubbard 142 366,910 21 143,663 2.55
Itasca 456 1,623,600 52 811,335 2.00
Koochiching 529 1,445,124 52 777,891 1.86
Lake 307 552,425 29 347,135 1.59
Lake of the Woods 175 280,306 14 188,592 1.49
Marshall 53 114,869 10 98,719 1.16
Pine 174 558,473 23 322,901 1.73
Roseau 84 194,523 10 64,138 3.03
St. Louis 948 2,978,435 80 993,374 3.00
Todd 59 134,662 10 109,357 1.23
Wadena 43 139,016 10 137,567 1.01

A caveat with the growth/drain ratio is how it can be sensitive to imbalances in age class distributions. For example, growth/drain ratios may be lower if a large portion of the resource is at or near a typical age for management (e.g., a rotation age). Growth/drain ratios may be greater if fewer acres are available to be harvested, and those stands may be younger with greater growth rates. Despite this, use the growth/drain ratio to get a sense of the harvest practices in your own region.

For the R code used to access these data and produce these figures using FIA’s EVALIDator API, see here

By Matt Russell. For more, subscribe to my monthly email newsletter to stay ahead on data and analytics trends in the forest products industry.