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Growth and Yield Modelling
About G&Y Prediction Models

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OverviewReturn to top of page

The number of growth and yield models applicable to forests in western Canada is increasing at an unprecedented rate due to recent advances in computing technology. Technologically advanced growth and yield prediction tools can help foresters make more informed management decisions, but foresters must first learn to be selective and cautious with these new tools.

Each model has a unique niche; no one model is applicable in all situations. To get the most benefit from these models, foresters have to understand the basic differences among them to select the appropriate model for a given situation. Differences among models stem from differences in the databases used to calibrate them and differences in model architecture. Perfect databases do not exist. Data quality and quantity are always in short supply since funds are limited and long-term growth data requires time.


Likewise, there is no one "best" modelling approach. A model’s architecture stems from the modelling approach (philosophy) chosen by the modeller based on the intended application and available data. Limited databases along with our limited knowledge of tree and stand growth necessarily lead to different approaches for different needs and applications. For instance, a primary emphasis on supporting silviculture prescriptions is likely to lead to a different model than an emphasis on inventory or planning. Similarly, an emphasis on single-rotation yields will produce a different model than an emphasis on long-term sustainability. We are already seeing a merging of modelling approaches (e.g., trends toward individual-tree, spatially explicit models) but it will be years before our understanding and data enable us to create one model for all situations and applications. For the immediate future we must expect to deal with more models, not fewer.

What are Growth and Yield Prediction Models?Return to top of page

Growth and yield prediction models are abstract or simplified representations of some aspect of reality used primarily to estimate the future growth and yield of forest stands. A stand growth model represents an abstraction of the natural dynamics of a forest stand, and depicts growth, mortality and other changes in stand composition and structure. It also mathematically describes the growth and yield of trees and stands. Some models are developed to predict Yield, which is the final accumulated growth at the end of a certain period (e.g., total volume growth in cubic meters per hectare); while others predict Growth, which is the total increase in dimensions of one or more individuals in a forest stand over a given period of time (e.g., total volume growth in cubic meters per hectare and per year), as well as Yield

Traditional growth and yield models are classified into two major groups. The models which require stand summary information (e.g., volume per hectare and stand average diameter) are called Whole Stand Models. The models which require a sum of individual tree information (e.g., tree heights, diameters and crown lengths) to produce estimates of yield are called Individual Tree Models.  These models are further subdivided according to how the stand density is modelled. For instance, variable density whole stand models can assess the effects of yield on variation in stand density (e.g., crown cover, basal area). Of the individual tree models, only distance-dependent models maintain a spatial record of the point density around individual trees.


Chronology of Growth and Yield Modelling in British Columbia, 1913-1998Return to top of page

Year

Event

1913

  • H.R. MacMillan made the first estimates of quality and growth of British Columbia’s timber resource

1920

  • First "normal" yield tables were developed for fully stocked stands of hemlock, balsam, cedar and spruce. First growth plots were established in coastal Douglas-fir stands.

1928

  • Preliminary yield tables, based on permanent plot data, were prepared for hemlock, balsam, spruce, coastal Douglas-fir, lodgepole pine and ponderosa pine.

1936

  • First volume, yield and stand tables were developed for the principal commercial species.

1947

  • First normal yield tables, based on the periodic remeasurement of permanent sample plots became available.

1961

  • First empirical yield tables, based on continuous forest inventory data, became available.

1963

  • First volume- and diameter-age curves were produced using forest inventory plot data and harmonized hand-drawn curve techniques.

1976

  • All forest inventory plot data were compiled to new size limits and utilization standards, and stratify by site class, species composition, and geographic location. Began the process of fitting non-linear Chapman-Richards regression function to volume- and diameter-over-age data in each stratum.

1981

  • A Site Index System (i.e. formerly called the Ek_Payandeh/Volume Ratio System) was first used in TSA plans and MOF inventory file updates. Began the development of a Variable Density Yield Prediction system (VDYP) for pure species stands.

1985

  • First managed stand yield tables for coastal Douglas-fir were generated using the Tree And Stand Simulator (TASS) growth and yield model.

1989

  • SYLVER was completed to evaluate the impact of silvicultural practices on wood quality, product value and economic return of second-growth Douglas-fir stands.

1991

  • TIPSY, a program that interpolates managed stand yield tables generated by TASS, was first distributed to forest managers across de province. This program included four coastal and three interior BC commercial tree species.

1993

  • VDYP was released to replace all earlier versions of natural stand yield prediction systems.

1994

  • The Stand and Tree Integrator Model (STIM) version 2.0 for western hemlock was first released by the Canadian Forest Service (Pacific Forestry Centre, Victoria). .

1996

  • The Stand Density Management Diagrams (SDMDs) for lodgepole pine, white spruce and interior Douglas-fir were published by Craig Farnden from the Canadian Forest Service.
  • STIM version 3.0 for trembling aspen was first released by the Canadian Forest Service (Pacific Forestry Centre, Victoria).
  • The B.C. Ministry of Forests assumed the custodianship of STIM for western hemlock and trembling aspen.

1997

  • The Stand Density Management Diagrams (SDMDs) for coastal Douglas-fir, western hemlock, Sitka spruce, and western redcedar were published by Craig Farnden from the Canadian Forest Service.

1998

  • Prognosis BC Beta version 1.0b was released for use in South Eastern BC to simulate the development of complex stands (ie. mixed, uneven-aged). This model was calibrated for eleven conifers species from the ICH, IDF, and southern ESSF biogeoclimatic zones.
  • TIPSY version 2.1e was released to replace earlier versions of TIPSY. It included improved functionality, as well as many new tables and features

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Last Modified: 2002 OCT 25. Ministry Contact: Mario di Lucca
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