Physiological Quality and Repeatability in Biometric Characters of

Transcrição

Physiological Quality and Repeatability in Biometric Characters of
Australian Journal of Basic and Applied Sciences, 9(31) September 2015, Pages: 147-154
ISSN:1991-8178
Australian Journal of Basic and Applied Sciences
Journal home page: www.ajbasweb.com
Physiological Quality and Repeatability in Biometric Characters of Seeds from
Different Trees of Aspidosperma Polyneuron Müll.Arg
1
Sheilly Raquelly Prado de Paula, 1Antonio Carlos Nogueira,2e Maria Cecília de Oliveira Bastos
1
Federal University of Parana (UFPR), Department of Forest Engineering, CEP 80210-170, Curitiba, Brazil
Environmental Institute of Paraná (IAP), Department of native species production, CEP 80215-100, Curitiba, Brazil
2
ARTICLE INFO
Article history:
Received 28 August 2015
Accepted 15 September 2015
Available online 15 October 2015
Keywords:
peroba-rosa, germination, seeds vigor,
genetic variability
ABSTRACT
The evaluation of the physiological quality is useful in a seed production program, once
it detects significant differences in seed lots of high vigor from those of low vigor. For
this, it is expected that the good performance shown by the seeds reflects the potential
of the individual studied as a whole, wherein the truth of this expectation will be proven
by the repeatability coefficient of the studied trait. Aspidosperma polyneuron Müll.
Arg. is a arboreal species belonging to the family Apocynaceae, that can be used in
landscaping and also for the recovery of degraded areas. Despite the relevance of the
specie, are there little information about its physiological quality and repeatability from
biometric characters seeds. Therefore, this study aimed to evaluate the variation in
characteristics of physiological quality and estimate the repeatability in biometrics
characteristics in seeds from different trees of A. polyneuron. The germination test was
conducted in 6 replicates of 30 seeds on blotting paper substrate maintained at a
temperature of 25 ° C. The statistical design was completely randomized with 14
treatments (13different trees+ compound lot). Were analyzed the variables germination
percentage, as well as germination speed index, mean time of germination and
synchronization index. The data were submitted to analysis of variance and the means
compared by Scott-Knott test at 5% of probability. With the aid of a digital caliper, it
was determined the dimensions of length, width and thickness of 100 seeds from each
different tree and estimated the coefficient of repeatability for four different models.
Analysis of variance revealed that there was significant variation between different
trees (genotypes) for the characteristics of seed quality, and the compound lot of seeds
led to intermediate vigor and high germination, as well as variation in biometrics,
showing genetic variability between differents. The estimates of the coefficient of
repeatability were of low magnitude to all the features, highlighting the environmental
influence on the biometric characteristics. Fifty-nine measurements were enough for the
characteristic length of seeds, thirty-two for width and twelve to thickness, to predict
the real value of genotypes.
© 2015 AENSI Publisher All rights reserved.
ToCite ThisArticle:Sheilly Raquelly Prado de Paula, Antonio Carlos Nogueira, e Maria Cecília de Oliveira Bastos, Physiological Quality
and Repeatability in Biometric Characters of Seeds from Different Trees of Aspidosperma Polyneuron Müll. Arg. Aust. J. Basic & Appl.
Sci., 9(31): 147-154, 2015
INTRODUCTION
Aspidosperma polyneuron Müll.Arg. is a tree
species belonging to the family Apocynaceae,
popularly known as peroba-rosa, which can reach up
to 30 m high, 90 cm of stem diameter and at every 24 years produces lots of fruits / seeds. It can be used
in landscaping in general and also in reforestation for
the recovery of degraded areas (Lorenzi, 2008).
Flowering occurs from September to January, in São
Paulo state; November, in Minas Gerais state, and
from November to December, Parana state. The
fruits ripen in May in Minas Gerais; June to
November in São Paulo and from July to October in
Parana (Carvalho, 2004). Seeds do not present
dormancy, and although it is a species of great value,
there is little technical information to evaluate
physiological quality (Carvalho, 2003).
The evaluation of the physiological quality is
one of the stages on vigor test that has proven
extremely useful in a seed production program, given
the fact that this test detects significant differences in
physiological quality of lots with similar
germination, supplementing the information provided
by the germination test, thus safely separating lots of
high vigor from those of low vigor (Marcos Filho,
1999).
Among the usual tests for control of quality of
seeds, determining the water content is essential,
besides the evaluation of physical quality realized by
means of the test ofa thousand seed weight, number
Corresponding Author: Sheilly Raquelly Prado de Paula, Federal University of Parana (UFPR), Department of Forest
Engineering, CEP 80210-170, Curitiba, Brazil
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Sheilly Raquelly Prado de Paula et al, 2015
Australian Journal of Basic and Applied Sciences, 9(31) September 2015, Pages: 147-154
of seeds per kilogram and biometric characteristics
(Lima et al., 2014).
The proven existence of large variability in fruit
size, seed number and fruit and seed size
(Cruz&Carvalho, 2003), makes the studies related to
biometric aspects of seeds to be extremely important
due to the need for the identification and
differentiation of species in same genus (Cruz et al.,
2001).
The effects that the seed size has on the behavior
of the seed itself and on the plant have been studied
for a long time. The size of the seeds affects the
vigor of the resulting seedlings, since the higher the
seed size, the stronger are the seedlings, which in
varying field conditions can result in different
"stands" in favor of the larger ones. In contrast, a
seedling from a small seed has, at first, a slower
development than one from a large seed (Carvalho &
Nakagawa, 2000). According to Oliveira (2009),
seed size has great influence on the establishment
and dispersal of species, where smaller seeds, in
general, are produced in large quantities and are
more easily dispersed, exploring places that are not
occupied by the larger seeds.
When choosing a genotype, it is expected that
the good performance manifested in certain
structures or individual components reflects the
genotype potential to be used as a whole. The
veracity of this expectation can be proven by the
coefficient of repeatability of the studied
characteristic. This coefficient can be estimated when
measurement of a characteristic is repeatedly
performed in the same individual (Cruz et al., 2012).
In Brazil, despite the growing number of studies,
there is still lack of researches providing knowledge
of native species that can serve to support programs
related to the management and recovery of natural
areas. Given the above and the importance of the
species, this study aimed to evaluate the variation in
the physiological quality characters and estimate the
repeatability in seed biometrics of differenttrees from
Aspidosperma polyneuron species.
MATERIAL AND METHODS
Differenttrees selection and collect of seeds:
Fruits were collected in August and September
of 2014 from 13 different trees sparsely located in
five municipalities in the state of Paraná: Cruzeiro do
Iguaçu, São Jorge do Oeste, Realeza, Boa Vista da
Aparecida and Nova Prata do Iguaçu. The fruits were
kept individualized for the study (each different tree
representing a treatment) and an extra lot was
composed equally with the seeds from all the
different trees, which was considered as the control
for the tests.
After the processing of the fruits, the seeds were
placed in clear plastic bags and taken to the Forest
Seed Laboratory of the Department of Forest Science
of the Federal University of Paraná (UFPR), located
in Curitiba - PR, where they were used to carry out
the experiments.
Evaluations:
For each treatment and for the control the
following data were collected.Tests were performed
to get the weight of a thousand seeds, the number of
seeds per kilogram, the water content of the seeds
and dry biomass, using seeds without wing. To
obtain the weight of one thousand seeds, eight
samples of 100 seeds were used, after calculating the
number of seeds per kilogram. The water content was
obtained by the oven method at 105 ± 3°C for 24
hours (Brazil, 2009), using two replicates of 25
seeds. Based on the water content and weight of a
thousand seeds was calculated dry weight of a
thousand seeds.
For the germination test seeds without wing
were used, placed in plastic boxes type "gerbox",
previously washed with soap and water and
disinfected with alcohol 70% on white blotter paper
substrate moistened with 2.5 times the mass of paper
with distilled water, and taken up germination on a
Mangersdorfii model germinator with constant
temperature of 25 °C. In order to maintain the sanity
of the substrate, it was sterilized in an oven set at 105
± 3 °C for 2 hours.
Before the experiment setup seeds were
sterilized with sodium hypochlorite (NaOCl) at
1.25% for five minutes aiming to combat fungal
attack.
Evaluations of the number of germinated seeds
was done daily until the 22nd day after sowing, when
there was no more germination or the seeds were in a
state of deterioration. The criteria for germination
was the radicle protrusion of more than 2 mm long.
At the end of the test, the following variables were
analyzed: germination percentage; germination speed
index (Maguire, 1962); mean germination time
(Laboriau, 1983) and the synchronization index.
The statistical design was completely
randomized, with 14 treatments (13 + composed),
with six replications of 30 seeds for germination test.
The data for the percentage, mean time, germination
speed index and synchronization index were
subjected to Bartlett test to check the homogeneity of
variances, which demonstrated no need to transform
any of the variables. Later, the data were subjected to
analysis of variance, and the statistical analysis of all
the variables held by Scott-Knott test at 5%
probability. Statistical programs used were Assistat
7.6 and 5.3 Bioestat indicated by Silva (2011) and
Ayres et al. (2007), respectively.
To evaluate the biometric characteristics were
determined the dimensions of length, width and
thickness of 100 seeds per genotype (tree different),
disregarding the winged part with the aid of a digital
caliper with accuracy of 0.01 mm.
Once the repeatability estimates vary according
to the nature of the variable, with the genetic
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Australian Journal of Basic and Applied Sciences, 9(31) September 2015, Pages: 147-154
properties of the genotypes and the conditions under
which the plants are located, coefficient of
repeatability were obtained from four different
estimators methods described by Cruz & Regazzi
(2001): ANOVA -analysis of variance; PCCOV and
PCCOR - principal components based on the
covariance and correlation matrix, respectively;
EVCOR, structural analysis, based on the correlation
matrix. By the method of ANOVA, having
considered that the number of repeated measures was
the same for all genotypes, the following model was
adopted: Y ij = μ + Gi + Aj + eij, where: Y ij is the
mean of the ith genotype in the j-th measurement; μ
is the overall mean of the experiment; Gi is the effect
of the ith genotype under the influence of the
environment; J corresponds to the effect of the A-th
measurement; and eij corresponds to random error
involving other causes of variation not included in
the model.
The number of measurements in the evaluated
characters required to predict the actual value of
individuals based on coefficients of determination
(R²) pre-set (0.80, 0.85, 0.90, 0.95 and 0.99), was
calculated by the expression: η = R² (1 - r) / (1 - R²)
r. The coefficient of determination for the number of
measurements was calculated using the formula: R² =
Nr / 1 + r (n-1).
All estimates were obtained by the procedure of
repeatability of the GENES program (Cruz, 2006).
Results:
In Table 1 are displayed values of the physical
analyzes for each batch of 13 different trees and the
control.
In general, the values of physical analysis of
seeds have not shown high variation among different
trees. According to the mean values, a thousand
seeds weigh 103 g, and a kilogram contains 9792
seeds, the water content is 7.16%and the dry biomass
is 95.55% (Table 1).
Seeds germination:
The analysis of variance has demonstrated that
there is differences at 99% confidence level among
different trees regarding physiological quality of the
seeds (Table 2).
From the values obtained in the germination test
we verify that five different trees (5; 7; 8; 12 and 13)
present superior percentage of germination than the
other studied different trees, between 83% and 84%
of germination, which did not differ from control,
with 94%. Although these five different trees and the
control have shown good germination performance,
coincidentally, in its results was noticed greater
synchrony in seed germination, except for the
different 5, which had better synchronization in
germination, along with differents 1, 3 and 9.
Different trees 5 andhave shown high vigor
among all differents and control, with greater
germination speed index and lower meangermination
time. By contrast, the different 1 showed low
germination (31%) and vigor, with speed and mean
germination time of 0.91 and 11.18 days,
respectively, and may be inferred that this is the
different tree with the worst effect. However, some
differents presented intermediary vigor, they are:
different 7, 8, 11, 12 and 13.
In all the characteristics evaluated in the
germination test, the control performed as a lot of
intermediate vigor and expressed high germination.
In general, high, medium and low vigor seeds
have germinated, probably due to conditions suitable
for germination. The results of the germination test
point to the existence of variability of physiological
quality between the different trees.
Repeatability in biometric characteristic of seeds:
According to the analysis of variance, there was
significant difference at 1% probability level for the
F test, indicating the presence of genetic variability
between the different trees (genotypes) (Table 3).
Tree differents of peroba-rosapresented seeds
with a mean of 15.43 mm long, 8.67 mm wide and
2.32 mm thick. The higher coefficient of variation
was obtained for the characteristic thickness of seeds
(19.81%), proving the existence of greater
environmental influence on this feature, and for the
rest of the characters the values of coefficients of
variation were low.
Table 4 presents the estimates of the coefficient
of repeatability and coefficient of determination
obtained by four estimators methods for length,
width and thickness of seeds.
In general, the coefficients of determination
were above 80% and the estimated values of
repeatability were of low magnitude (<0.5) for all
characteristics when analyzed by different methods,
highlighting the environmental influence on the
biometric variables. It was also noticed that the
estimates of the coefficient of repeatability and
determination obtained for the length and width
characteristics were similar to the ANOVA and
EVCOR methods, and always lower than those
obtained by other methods. Estimates obtained by the
method of PCCOV and PCCOR were higher than the
overall mean for all characteristics (Table 4).
The number of measurements required for the
characteristics length, width and thickness of seeds
were estimated with determination of 80, 85, 90, 95
and 99% for four methods estimators (Table 5).
For PCCOV and PCCOR methods, with less
than 100 measurements for characteristics length,
width and thickness of seeds, it will certainly be
possible to discriminate genotypes with 90% of
certainty of being evaluating the actual value of each
genotype. To achieve 99% in both determining
methods it would be requiredmore than 100
measurements for length, width and thickness of
seeds. Under these circumstances, increasing the
number of measurements would result in long
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Australian Journal of Basic and Applied Sciences, 9(31) September 2015, Pages: 147-154
evaluation time and more resources should be spent
in order to get a few increase in accuracy.
ThePCCOV method would require a lower
number of measurements than the PCCOR method
and the number of measurements desirable for a
more effective selection in the use of physical
characteristics of the peroba-rosa seeds should be at
least 59 measurements of the characteristic length of
seed, 32 measurements of width, and 12
measurements of thickness for a R² of 90% (Table 5).
As a result, the number of measurements required for
peroba-rosa seeds is almost half the used in this work
for the length; 3 times less than used in this work for
the width; and 9 times less for the thickness.
Discussion:
According to the physical analysis of seeds,
according to the findings by Lorenzi (2008), one
kilogram contains about 14,000 peroba-rosa seeds,
which was not observed in this study. However,
Lima (2011) noted for Aspidosperma discolor
A.DC., a number of 6,668 seeds per kilogram, which
is close to that found for peroba-rosa, a species from
the same genus.
According to Carvalho et al. (2006), seeds of
Aspidosperma polyneuron are orthodox, although it
is a climax and light demanding species. Costa
(2009) highlights that orthodox seeds generally have
high longevity and may be dried to lower water
contents (between 5% and 7%) and stored for long
periods. According to Bruning et al. (2011), seeds
vulnerable to desiccation, which are likely to lose
their viability, generally have high water contents,
likeEugenia involucrata DC. and Cupania vernalis
Cambess. with 47.26% and 32.69%, respectively.
Freire (2005) observed water contents from 6.05 to
9.33% in seeds ofSchizolobium parahyba Vell. Blake
from different tree differents. Vieira (1980) reports
that lots of higher physiological quality tend to
present minor amounts of water. According to
Marcos Filho (2005), drier seeds with water content
less than 11%, are more sensitive to injuries caused
by accentuated differences between the water
potential of the seed and the substrate. According to
the author above, serious problems may occur due to
the very rapid entry of water in the seeds, especially
in the less vigorous, causing damage by soaking.
Thus, this parameter is of great importance as it can
favor the performance of seed germination.
The germination test is one way to verify the
physiological seed quality, comparing seed lots and
indicating the ones with lower and with higher vigor
(Carvalho & Nakagawa, 2000), and consequently,
evidencing the existence of variability on the tree
differentsfrom which the seeds were collected.
Santos
(2007)
found
that
the
tree
differentsofTabebuia chrysotricha (Mart. Ex A. DC.)
presented differences in germination and seed vigor.
Santos & Paula (2009) observed good estimates of
the physiological quality of lots ofSebastiania
commersoniana seeds (Baill.) Smith & Downs.
The homogeneous mixture of seeds collected
from different differents increases genetic variability
(Kageyama et al., 2003), including in the lots
seedsfrom both differents considered vigorous, as
well as from those non vigorous (Santos , 2007),
which can provide a lot of low, high or intermediate
vigor. According to Carvalho & Nakagawa (2000),
differences in rate of growth and development of
seedlings can be attributed to seed vigor, in which
seeds with higher energy level perform the tasks of
the germination process quickly. Lima et al. (2014)
observed in germination and accelerated aging tests
the existence of variability in physiological quality of
Poincianella pyramidalis seeds (Tul.) LP Queiroz,
from different differents, as well as seeds from lot of
individual differentsof high or intermediate force.
Studies concerning the standardization of testing
procedures for germination and vigor to evaluate the
physiological quality of seeds of native forest species
can contribute to the decision-making in programs of
seed quality and species conservation, optimizing
thus the available resources (Melo , 2009).
In tropical tree species there is great variability
in relation to fruit size, number of seeds per fruit and
seed size (Cruz and Carvalho, 2003). The size of
fruits and seeds, and the number of seeds per fruit are
characteristic of each species. However, strong
environmental influence are exerted over those
characteristics. According to Santos (2007),
biometric variations in seeds of trees from the same
species exist due to genetic variability and
environmental influences during seed formation and
development. Freitas et al. (2014) found higher mean
values for biometric characteristics of seeds
ofAspidosperma spruceanum Benth. Ex Mull. Arg.,
which is a species from the same genus asthe one in
this research, with is 69 mm long, 64 mm wide and
1.85 mm thick, and the experimental coefficient of
variation can vary between biometric characteristic
in response to environmental factors. Santos et al.
(2009), studying different differents of Tabebuia
chrysotricha (Mart. Ex A. DC.) Standl., found a
higher experimental coefficient of variation for seed
thickness, and they pointed as cause the greater
environmental influence over this characteristic.
Knowledge of the biometric variation on
characteristics of fruits and seeds is important for the
improvement of these characteristics, aiming either
the increase or uniformity. The distinction and
classification of seed size can be an effective way to
improve the quality of seed lots with respect to the
uniformity of emergence and seedling vigor (Pedron
et al., 2004). Popinigis (1985) states that the size of
the seed, in many species, is indicative of their
physiological quality. Silva and Carvalho (2006)
reported that for Clitoria fairchildiana RA Howard.
seeds,total germination was not affected by seed size,
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Australian Journal of Basic and Applied Sciences, 9(31) September 2015, Pages: 147-154
however, vigor was, and the larger and medium
seeds resulted in more vigorous seedlings.
The low value of the estimates of coefficient of
repeatability (Table 5) indicates that there was
irregularity in the repetition of the genotypes from an
evaluation to the other (Cruzet al., 2012), and that
the influence of environmental factors on the
variables studied is greater. Thus, the number of
measurements needed to predict the real value of
genotypes is greater (Cavalcanteet al., 2012). Araújo
et al. (2009) found estimates of the coefficient of
repeatability ranging from 0.09 to 0.67 for the
characteristics longitudinal diameter of the fruit,
transverse diameter of fruit, fruit weight, pulp
weight, seed diameter and seed weight ofByrsonima
verbascifolia (L.) Rich., indicating low regularity in
the repetition of these variables in the same plant.
The method of the principal components based
on the covariance matrix (PCCOV) was the most
appropriate to estimate the coefficient of
repeatability of seeds of Paullinia cupana Kunth
clones (Nascimento Filho et al., 2009). According to
Abeywardena (1972) cited by Cruz et al. (2012) the
coefficient of repeatability can be more effectively
estimated by the method of principal components,
since the method of analysis of variance may
underestimate the r values.
Other studies also suggest less than 100
measurements of biometric characteristics on seeds.
Araújo et al. (2009) stated that the coefficients of
determination above 90% are obtained with 9-71
measurements for biometric characteristic of fruits
and seeds ofByrsonima verbascifolia (L.) Rich.On
the other hand, Manfio et al. (2011), also evaluating
biometric characteristics of fruits, found minimum
number of measurements ranging from 1 to 2 fruits
ofAcrocomia aculeara (Jacq.) Lodd. ex Martius., to
predict the real value of genotypes, with 95% of
coefficient of determination.
The estimate of genetic parameters through
biometric characteristics using the coefficient of
repeatability can be used to prove the genetic
variation among genotypes (tree differents), which
represents important information of genetic variation
within the species, and consequently provide
subsidies for selection of genotypes from biometric
characteristic of seeds. Skorput et al., (2014) found
that the use of the model of repeatability may be the
best choice for genetic evaluation.
Conclusions:
 There is significant variation among the different
treesat the characteristics of physiological quality of
seeds;
 The equitable mix of seeds obtained of different
trees (compound lot) provides intermediate vigor and
high germination;
 The studied genotypes have genetic variability
significant for the biometric characteristics;
 The estimates the repeatability coefficients were
of low magnitude for all biometrics characteristics
evaluated;
 Are sufficient 59 measurements for the length
characteristic of seed, 32 for width and 12 for
thickness for predict the real value of genotypes.
Table 1: Weight of a thousand seeds (g), number of seeds per kilogram, water content (%) and dry biomass (%) of Aspidosperma
polyneuron Müll.Arg seeds. from different different trees.
Different Tree
Weight of a
Number of seeds
Water content
Dry biomass
Thousand seeds
1
100
10.030
7.90
91.80
2
104
9.643
8.14
95.56
3
101
9.911
9.43
91.47
4
100
10.040
8.19
91.41
5
100
10.352
5.89
93.71
6
102
9.843
6.28
95.32
7
104
9.579
6.20
98.20
8
107
9.328
6.06
101.14
9
87
11.561
5.75
80.75
10
107
9.381
5.72
100.88
11
108
9.259
5.97
102.03
12
109
9.191
12.66
96.14
13
110
9.091
6.34
103.66
Control
101
9.881
5.64
95.56
Mean
103
9.792
7.16
95.55
Table 2: Summary of the analysis of variance and mean comparison for germination (G), germination speed index (GSI), mean time of
germination (MTG) and Synchronization Index (U) of Aspidosperma polyneuron Müll. Arg., seeds from different different trees.
Source of variation
DF
Mean Square
G
GSI
MTG
U
Different Tree
13
18.56 **
19.70 **
16.82 **
3.15 **
Mean
71
2.58
9.22
2.56
CV (%)
14.36
18.29
8.91
13.15
Different tree
Means
1
31 d
0.91 e
11.18 a
2.38 b
2
63 c
1.77 d
11.60 a
2.69 a
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Australian Journal of Basic and Applied Sciences, 9(31) September 2015, Pages: 147-154
3
56 c
1.76 d
10.16 b
4
50 c
1.61 d
10.02 b
5
83 a
3.84 a
6.77 d
6
56 c
2.08 c
8.79 c
7
86 a
3.17 b
8.80 c
8
87 a
2.88 b
9.60 b
9
76 b
3.66 a
6.73 d
10
64 c
2.35 c
9.13 c
11
74 b
2.87 b
8.44 c
12
85 a
3.18 b
9.06 c
13
84 a
2.72 b
9.69 b
Control
94 a
3.27 b
9.14 c
** - significant (p ≤ 0,01) by the test F
Means followed by the same latters do not differ from each other by the Scott-Knott test t 1% of probability.
Table 3: Analysis of variance for three seed characteristics evaluated at 13 Aspidosperma polyneurondifferent trees.
Characteristics
MS genotypes
MS residual
F
Mean
Lenght
14.5654
1.8307
7.9561 **
15.43
Width
6.8991
0.3722
18.5375 **
8.67
Thickness
1.1216
0.2113
5.3079 **
2.32
** significant at 1% of probability by the F test.
2.44 b
2.51 a
1.99 b
2.55 a
2.74 a
2.61 a
2.25 b
2.90 a
2.57 a
2.85 a
2.54 a
2.78 a
CV (%)
8.77
7.04
19.81
Table 4: Estimates of the coefficient of repeatability (r) and the coefficients of determination (R²) for length, width and thickness from 13
different trees ofAspidosperma polyneuron by four estimators methods.
Method ¹
Length
Width
Thickness
r
R²
R
R²
r
R²
ANOVA
0.07
87
0.15
95
0.04
81
PCCOV
0.13
94
0.22
97
0.43
99
PCCOR
0.13
94
0.21
96
0.29
98
EVCOR
0.07
87
0.15
95
0.18
96
MEAN
0.10
91
0.18
95
0.23
93
¹ ANOVA, analysis of variance; PCCOV and PCCOR principal components, based on the covariance and correlation matrix, respectively;
EVCOR, structural analysis, based on the correlation matrix.
Table 5:Estimates of the number of measurements required (ηo) obtained for 3 seed characteristics evaluated in 13 different trees of
Aspidosperma polyneuron.
Method ¹
R²
Length
Width
Thickness
ANOVA
0.80
58
23
93
0.85
81
32
132
0.90
129
51
209
0.95
273
108
441
0.99
1.423
565
2.298
PCCOV
0.80
26
14
5
0.85
37
20
8
0.90
59
32
12
0.95
124
67
25
0.99
644
351
132
PCCOR
0.80
27
15
10
0.85
38
22
14
0.90
61
35
23
0.95
129
73
48
0.99
670
383
248
EVCOR
0.80
60
22
19
0.85
85
32
27
0.90
135
50
42
0.95
285
106
89
0.99
1.484
552
463
¹ ANOVA, analysis of variance; PCCOV and PCCOR principal components, based on the covariance and correlation matrix, respectively;
EVCOR, structural analysis, based on the correlation matrix.
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