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NR 326 Lecture 7 - Growth and yield

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Parameters of Increment Gross increment or volume : all material at end of period  Net increment or volume : live material at end of period Think about your pay-slip from work… --- is

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Parameters of Increment

 Gross increment or volume : all material at end of period

 Net increment or volume : live material at end of period

Think about your pay-slip from work… - is the total you earned; -

is what you get to put in your pocket

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Parameters of Increment

Amount grown, harvested or not.

Height, diameter, volume or biomass

Amount grown which can or has been harvested

2

Gross increment Natural losses Net increment

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Parameters of Increment

 CAI : Current annual increment

2013

2014

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Parameters of Increment (cont.)

 PAI : Periodic Annual Increment

Average increment per year over a 5 or 10 year period

On average, how

tall have I grown

each year from

When I was 5 until when

I was 15?

Ex 1680 cm at 15 years, 1780 cm at 25 years, PAI = ?

4

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Parameters of Increment

 MAI: Mean Annual Increment

Average increment per year over a stand’s lifetime The maximum sustainable production rate

Ex 1800 cm at 60 years, MAI

= ?

On average, how tall have I grown each year since I was born?

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Parameters of Increment: CAI

6

CAI = T2 - T1

The CAI varies from year to year being affected by seasonal conditions and treatment For this reason, it is common practice to express the

increment as a mean over a period of years, termed the periodic mean

annual increment (PMAI or PAI)

The increment over a

period of one year at

any stage in the tree’s

history/ stand’s history

(e.g CAI 1969/70, age

25-26 years)

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Parameters of Increment: PAI

Y is the yield (volume,

height, DBH, etc.) at

times 1 and 2 and T1

represents the year

starting the growth

period, and T2 is the

end year.

The maximum point on the curve of PAI is the same as the inflecting point on a graph of yield versus time The inflection point is the point corresponding to the fastest change in yield.

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Parameters of Increment: MAI

8

The mean annual increment over the whole period from

origin to a specific age The specific age must be given

when quoting MAI figures

where Y(t) = yield

at time t

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The interrelationships of the CAI and MAI

As long as the CAI exceeds the MAI, the MAI curve must rise since each added yearly increment improves the average After the CAI culminates, the MAI curve begins to flatten, reaching a maximum at the point of intersection of the two curves Beyond this, the MAI falls but at a slower

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The interrelationships of the CAI and MAI

Stand characteristics CAI and MAI - a case study in Croatia

(South East European Forestry)

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The interrelationships of the PAI and MAI

When MAI and PAI are graphed together, the point in which they intersect

is called the biological rotation age The biological rotation age is the age

in which a stand should be harvested to maximize long-term yield.

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Stand growth models

12

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Even-aged Stand Growth

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Rotation

In even-aged systems, the period between

regeneration establishment and final

cutting

Rotation age/length can be based on any

criteria…

14

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Financial Rotation

 The age of a stand where the financial return from

harvesting is at a maximum

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Pathological rotation

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 The age of a stand after which stand health declines

rapidly

 E.g harvesting before trees get heart rot

Heart rot in Red Pine

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Ecological Rotation

 The age of a stand after which some ecological value

of a stand decline

 E.g early or mid- successional habitat

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Parameters of Increment

18

The MAI (Mean Annual Increment) is the volume of wood growing on one hectare of forest during one year (m3/ha/year)

on average since the forest has been established For a tree plantation, the MAI is the present total growing stock volume

of one hectare divided by the total age The total age of the natural forest is not known

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