1. Parental
Contribution
1.1 Vegetative
lot
The parental contribution (Pi ) of a
particular parent tree to a vegetative lot is determined in accordance with the
following formula:
Pi = Xi / Xn
where:
Xi = total number of cuttings or
propagules collected from parent tree i in the lot
Xn = total number of cuttings or
propagules collected from all parent trees n in the lot
1.2 Seedlots
The parental contribution (Pi) of a
particular parent tree to a seedlot is determined in accordance with the
following formula:
Pi = (Fi + Mi) / 2
where:
Fi = female gametic contribution for
parent tree i as determined below
Mi = male gametic contribution for parent
tree i as determined below
Determining Fi
The female gametic contribution of a particular parent
tree is determined in accordance with the following formula:
Fi = Xi / Xn
where:
Xi = seed contribution of parent tree i as determined in accordance with generally accepted scientific methodology
Xn = total seed contribution of all
parent trees n
Determining Mi
The male gametic contribution of a particular parent tree
is determined in accordance with the following formula:
Mi = Yi / Yn
where:
Yi = pollen contribution of parent tree i as determined in accordance with generally accepted scientific methodology
Yn = total pollen contribution of all
parent trees n
2. Effective Population Size
The effective population size (Ne) for a lot
collected from parent trees is determined in accordance with the applicable
formula set out below.
2.1 Unrelated
parent trees
The Ne for lots collected from parent trees that
are not related to each other is determined in accordance with the following
formula:
Ne = 1 / ∑(Pi2)
where:
Pi = parental contribution
for parent tree i asdetermined in accordance with the formula
set out in
(a) section 1.1 if the lot is a vegetative lot, or
(b) section 1.2 if the lot is a seedlot
2.2 Related
parent trees
The Ne for lots collected from parent trees where
two or more of the parent trees are related to each other is determined in
accordance with the following formula:
Ne = 0.5 / ∑(Pi Pj cij)
where:
Pi = parental contribution
for parent tree i asdetermined in accordance with the formula
set out in
(a) section 1.1 if the lot is a vegetative lot, or
(b) section 1.2 if the lot is a seedlot
Pj = parental contribution for parent
tree j asdetermined in accordance with the formula set out
(a) section 1.1 if the lot is a vegetative lot, or
(b) section 1.2 if the lot is a seedlot
cij = coefficient of relatedness
(co-ancestry) between parent tree i and parent tree j as
determined below
Determining cij
If parent tree i and parent tree j are the same, then cij = 0.50
If parent tree i and parent tree j have the same parent
trees, or if parent tree i is the parent of parent tree j or vice versa, then cij = 0.25
If parent tree i and parent tree j share one common parent
tree, then cij = 0.125
If parent tree i and parent tree j are not related in any
way, then cij = 0
3. Genetic
Worth
In this section, “pollen contamination” means
pollen, originating from a natural stand outside a seed orchard, that
contributes to the pollination of female cones on parent trees in the orchard.
The genetic worth (GW) for lots collected from
parent trees is determined in accordance with the applicable formula set out
below.
3.1 Vegetative
lots
The GW for a vegetative lot collected from parent
trees is determined in accordance with whichever of the following formulas
applies:
GW = ∑ Pi CVi or GW = ∑ Pi BVi
where:
Pi = parental contribution for parent
tree i as determined in accordance with section 1.1
CVi = clonal value of parent tree i
BVi = breeding value of parent tree i
In the case of a vegetative lot registered as a custom
lot, a breeding value determined in accordance with the requirements of section
5.4.6 of the standards is always used to calculate GW.
3.2 Seedlots
The GW of seedlots collected from parent trees is
calculated in accordance with the applicable formula set out in sections 3.2.1
through 3.2.3 below.
In the case of a seedlot registered as a custom lot, a
breeding value determined in accordance with the requirements of section 5.4.6
of the standards is always used to calculate GW.
3.2.1 Seedlots produced in a seed orchard without pollen contamination
The GW for seedlots produced in seed orchards not
subject to pollen contamination is determined in accordance with the following
formula:
GW = ∑ BVi (Fi + Mi) / 2
where:
BV i= breeding value of parent tree i
Fi = female gametic
contribution of parent tree i
Mi = male gametic contribution of parent
tree i
3.2.2 Seedlots produced in a seed orchard with pollen contamination
The GW for seedlots produced in seed orchards
subject to pollen contamination is determined in accordance with the following
formula:
GW = ∑ {(PC
× BVCP)+ BVi [Fi + Mi (1-PC)]} / 2
where:
PC = the
proportion of contaminant pollen, expressed as a percentage of the total amount
of pollen pollinating parent tree i, as determined in accordance with
generally accepted scientific methodology
BVCP = breeding
value of contaminant pollen as determined in accordance with generally accepted
scientific methodology
BVi = breeding value of parent tree i
Fi = female gametic contribution of parent tree i
Mi = male gametic contribution of parent tree i
3.2.3 Seedlots produced through a controlled cross of parent trees in a
seed orchard
The GW for seedlots produced through a controlled
cross where two or more parent trees are mated, and pollen from all other
sources is excluded, is determined in accordance with the following formula:
GW = ∑ nij [(BVi + BVj) / 2] / n
where:
BVi = breeding value of parent tree i from which cones or seeds are collected
BVj = breeding value of parent tree j contributing
to the pollen mix as determined below
nij = number of cones or seeds from
parent tree i crossed with pollen from parent tree j
n = total number of seeds or cones of all parent
trees
Determining BVj
If the pollen used in the controlled cross is collected
from a single parent tree, BVj is the breeding value of that
parent tree.
If the pollen used in the controlled cross is collected
from two or more parent trees, BVj is the mean breeding value
of the pollen mix, as determined in accordance with the following formula:
BVj = ∑BVk wk / w
where:
BVk = breeding value of parent k contributing to the pollen mix
wk = the volume or weight of parent k contributing to the pollen mix
w = the total volume or weight of the pollen mix
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