Modeling Environmental Factors
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Modeling Environmental Factors : Response of Trees to Environmental Factors: General Principles : PowerPoint PPT Presentation


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Modeling Environmental Factors : Response of Trees to Environmental Factors: General Principles : 1. Trees respond to AN environmental factor individually. Response = f (one factor; for example temperature). Modeling Environmental Factors : General Principles :.

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Modeling environmental factors response of trees to environmental factors general principles

  • Modeling Environmental Factors:

  • Response of Trees to Environmental Factors:

  • General Principles:

    • 1. Trees respond to AN environmental factor individually.

    • Response = f (one factor; for example temperature)


Modeling environmental factors response of trees to environmental factors general principles

Modeling Environmental Factors:

General Principles:

  • 2. Trees also respond “cumulatively” or simultaneously to other factors.

    • Response = f (one or more factors)

    • Environmental Effects are modeled individually and cumulatively

  • simultaneously


  • Modeling environmental factors response of trees to environmental factors general principles

    Modeling Environmental Factors:

    • Approaches to Modeling Environmental Effects:

    • 1. Minimum or “Most Limiting Factor”

      • Principle: Cumulative Environmental Effects is dictated by the “Most Limiting

        • Factor”

        • Model:

        • Growth = Goptimal * Min {f1, f2, …, fn}


    Modeling environmental factors response of trees to environmental factors general principles

    Modeling Environmental Factors:

    Approaches to Modeling Environmental Effects:

    • Model: Growth = Goptimal * f1 + f2 + … + fn


    Modeling environmental factors response of trees to environmental factors general principles

    Multiplicative approach: Approach used by JABOWA

    • Model:

    • Growth = Goptimal * {f1 * f2 * … *fn}


    Modeling environmental factors response of trees to environmental factors general principles

    Factoring Environmental Effects

    D =D = (D * { f1 * f2 * … * fi}

    tt (t )opt (multiplicative assessment of

    cumulative effect)

    f1, f2, …, fiindividually, denotes the tree’s response to oneenvironmental factor

    fi  response functions

     all scaled so that {0 < fi< 1}


    Modeling environmental factors response of trees to environmental factors general principles

    Factoring Environmental Effects

    D =D = (D * { f1 * f2 * … * fi}

    tt (t )opt

    f1 * f2* … * fitree responding to cumulative effect

     interactive and synergistic effect

     multiplicative interactions


    Modeling environmental factors response of trees to environmental factors general principles

    D=D = f(intrinsic growth, environmental

    factors)

    D= {GD(1-DH/DmaxHmax)} * f(environ.)

    274+3b2D-4b3D2 |__________|

    adjustment to optimal growth

    Factoring Environmental Effects


    Modeling environmental factors response of trees to environmental factors general principles

    Factoring Environmental Effects

    f(environment) = fi(AL) *Qi *S(BAR)

    fi(AL) = the light response of the species

    S(BAR) = maximum basal area that the plot can support

    Qi = product of “response functions”


    Modeling environmental factors response of trees to environmental factors general principles

    Factoring Environmental Effects

    Qi = product of “response functions”

    = Tfi * WiFi * WeFi * NFi

    Nfi  index of tree response to nitrogen ( 0 < Nfi< 1 )

    Tfi  temperature response function (0 <Tfi< 1 )

    WiFiwilt factor (index of drought cond.)

    ( 0 <WiFi< 1)

    WeFi  soil wetness factor ( 0 <WeFi < 1 )


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