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

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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Presentation Transcript

• 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)

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

• 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}

Approaches to Modeling Environmental Effects:

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

• Model:

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

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}

D =D = (D * { f1 * f2 * … * fi}

tt (t )opt

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

 interactive and synergistic effect

 multiplicative interactions

D=D = f(intrinsic growth, environmental

factors)

D= {GD(1-DH/DmaxHmax)} * f(environ.)

274+3b2D-4b3D2 |__________|

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”

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 )