[Fiber length distribution]
-
Upload
ghandi-ahmad -
Category
Documents
-
view
217 -
download
0
Transcript of [Fiber length distribution]
-
7/27/2019 [Fiber length distribution]
1/12
http://trj.sagepub.com/Textile Research Journal
http://trj.sagepub.com/content/82/12/1244The online version of this article can be found at:
DOI: 10.1177/0040517512438124
2012 82: 1244 originally published online 7 March 2012Textile Research JournalMourad Krifa
and finenessber length distribution variability in cotton bale classification: Interactions among length, maturit
Published by:
http://www.sagepublications.com
can be found at:Textile Research JournalAdditional services and information for
http://trj.sagepub.com/cgi/alertsEmail Alerts:
http://trj.sagepub.com/subscriptionsSubscriptions:
http://www.sagepub.com/journalsReprints.navReprints:
http://www.sagepub.com/journalsPermissions.navPermissions:
http://trj.sagepub.com/content/82/12/1244.refs.htmlCitations:
What is This?
- Mar 7, 2012OnlineFirst Version of Record
- Apr 24, 2012Version of Record>>
at Ministry of Higher Education on May 9, 2012trj.sagepub.comDownloaded from
http://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/content/82/12/1244http://trj.sagepub.com/content/82/12/1244http://trj.sagepub.com/content/82/12/1244http://www.sagepublications.com/http://www.sagepublications.com/http://trj.sagepub.com/cgi/alertshttp://trj.sagepub.com/cgi/alertshttp://trj.sagepub.com/subscriptionshttp://www.sagepub.com/journalsReprints.navhttp://www.sagepub.com/journalsReprints.navhttp://www.sagepub.com/journalsPermissions.navhttp://www.sagepub.com/journalsPermissions.navhttp://www.sagepub.com/journalsPermissions.navhttp://trj.sagepub.com/content/82/12/1244.refs.htmlhttp://trj.sagepub.com/content/82/12/1244.refs.htmlhttp://trj.sagepub.com/content/82/12/1244.refs.htmlhttp://online.sagepub.com/site/sphelp/vorhelp.xhtmlhttp://online.sagepub.com/site/sphelp/vorhelp.xhtmlhttp://trj.sagepub.com/content/early/2012/02/14/0040517512438124.full.pdfhttp://trj.sagepub.com/content/early/2012/02/14/0040517512438124.full.pdfhttp://trj.sagepub.com/content/82/12/1244.full.pdfhttp://trj.sagepub.com/content/82/12/1244.full.pdfhttp://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/http://online.sagepub.com/site/sphelp/vorhelp.xhtmlhttp://trj.sagepub.com/content/early/2012/02/14/0040517512438124.full.pdfhttp://trj.sagepub.com/content/82/12/1244.full.pdfhttp://trj.sagepub.com/content/82/12/1244.refs.htmlhttp://www.sagepub.com/journalsPermissions.navhttp://www.sagepub.com/journalsReprints.navhttp://trj.sagepub.com/subscriptionshttp://trj.sagepub.com/cgi/alertshttp://www.sagepublications.com/http://trj.sagepub.com/content/82/12/1244http://trj.sagepub.com/ -
7/27/2019 [Fiber length distribution]
2/12
Original article
Fiber length distribution variability incotton bale classification: Interactionsamong length, maturity and fineness
Mourad Krifa
Abstract
Proper classification and bale selection are prerequisites to success in a modern cotton spinning operation. Currently, forcrops where automatic High Volume Instrument (HVI) classification is the norm, fiber selection is done based on HVIdata which does not include adequate characterization of fiber length distribution. This research evaluates the effective-ness of current cotton fiber classification and selection procedures in controlling for variability in fiber length distribution
and presents a new approach to adequately clustering cotton bales into homogenous groups based on empirical lengthdistributions. The results show that using the common HVI parameters to group the bales produces categories withuncontrolled length distribution variability. Differences in distribution patterns appeared related to the potential for baleswith the same micronaire levels to differ significantly in maturity and thus in propensity to break.
Keywords
cotton classification, fiber selection, length distribution, cluster analysis, cotton variability
Cotton fiber traits are determined by complex interac-tions among genetic, environmental and processing
conditions. Because of these interactions, fiber proper-
ties vary significantly at multiple levels, that is, between
fields, between individual plants within fields, and even
within single plants and on the same seed.13 Thus, the
major challenge in cotton processing is to convert a
highly variable raw material into a uniform product
with quality that remains consistent over long produc-
tion cycles. To address this challenge, it is critical that
all the important fiber properties be adequately mea-
sured, and that accepted cotton bale classing based on
those measurements be made. Accordingly, cotton clas-
sing has historically had a vital impact not only on the
economics of cotton production and marketing, but
also on the efficiency and the ultimate profitability of
the textile manufacturing operation. In fact, decision
making in the cotton industry is often, if not always,
based on categorizing or clustering cotton bales into
relatively homogeneous quality groups using measured
fiber properties.
Cotton classing has considerably changed with prog-
ress in fiber quality measurement technology over sev-
eral decades. Early graders manually and visually
classified cotton according to grade, staple length andcharacter.4 The development of technology that
enabled automatic and rapid measurement of micro-
naire, color, then length, strength and trash, led to
the current classification system based on High
Volume Instruments or HVI.5 With the widespread
adoption of quality measurement and classification
technology and thus the availability of fiber informa-
tion, cotton bale selection and laydown arrangement
systems have evolved from the reliance on skills and
experience of spinners to highly sophisticated informa-
tion management and engineered decision-making
tools.6
In order to optimally use this information in fiber
selection, significant research efforts have been
Department of Textiles and Apparel, The University of Texas at Austin,
USA
Corresponding author:
Mourad Krifa, Department of Textiles and Apparel, The University of
Texas at Austin, 1 University Station A2700, Austin, Texas 78712, USA
Email: [email protected]
Textile Research Journal
82(12) 12441254
! The Author(s) 2012
Reprints and permissions:
sagepub.co.uk/journalsPermissions.nav
DOI: 10.1177/0040517512438124
trj.sagepub.com
at Ministry of Higher Education on May 9, 2012trj.sagepub.comDownloaded from
http://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/ -
7/27/2019 [Fiber length distribution]
3/12
accomplished and various approaches have been devel-
oped over decades. For instance, the concept of
Engineered Fiber Selection or EFS was first developed
by Cotton Incorporated in the late seventies.79 El
Mogahzy10 proposed a linear programming approach
to optimize cotton purchase and planning decisions,
and to control warehouse inventory based on HVIdata. Later research went beyond purchase and inven-
tory management to integrate bale picking for laydown
mix selection.11 The various bale picking schemes in use
today are based on correctly and efficiently clustering
the population of bales into homogeneous groups with
respect to selected fiber characteristics. Those proper-
ties are limited to the major parameters available
through HVI testing (i.e. micronaire, length, strength,
and sometimes other characteristics such as color).12
Micronaire is typically considered as a primary crite-
rion in view of the major problems such as fabric barre
or color shade differences that inconsistent micronaire
can entail.13 Staple length is often the next essential
criterion when mixing laydowns; although in more gen-
eral terms, fiber properties may vary in importance
according to technology and end use. Since the estab-
lishment in 1991 of 100% classification by HVI in all
USDA classing offices, and over the following decade,
the widespread adoption of HVI by spinning mills the
world over,14 little has changed in the fundamentals of
the classing system. In an attempt to simplify the selec-
tion process by aggregating multiple criteria, complex
indices such as the fiber quality index (FQI), the spin-
ning consistency index (SCI), or the premium/discount
index (PDI) have been developed based on combina-tions of fiber properties and on regression models.1517
Those indices often depend on the range of bales
used to develop the equations and are not readily gen-
eralizable to characterize the complex multivariate
nature of cotton fiber quality. In addition, those indices
consist of linear combinations of the same HVI param-
eters discussed above and thus, fundamentally, they
convey the same set of information with the same
shortcomings.
In particular, despite intensive research and develop-
ment efforts, classing data still fails to include meaning-
ful and reliable measurements of some fiber properties
now at the forefront of concerns for spinners, namely,
neps18 and short fibers or more generally fiber length
distribution.19,20 To evaluate those properties, spinners
depend on measurement methods with testing speeds
not compatible with those of HVIs. The Advanced
Fiber Information System, or USTER AFIS, is one
such method where fibers are individualized using an
aeromechanical opener/separator, then individually
conveyed through a set of optical sensors which gener-
ate electrical signals proportional to fiber length and
other dimensions.21,22
Thus, the criteria used as input to control the blends
that feed the spinning mill are exclusively based on HVI
measurements, while the spinners quality concerns at
the output of the mixing line are increasingly geared
toward parameters that cannot be measured using
HVIs, namely neps, short fiber content or fiber length
distribution.19,23,24
More generally and beyond fiberlength, the intrinsic variability of all fiber properties
(within cottons/bales) is not taken into account
during fiber selection and laydown arrangement. In
practice, each bale is identified by the average values
of its HVI fiber characteristics. Information about
within-bale variability or about distributions of individ-
ual fiber characteristics is usually unavailable at the
laydown constitution stage.
The absence of this information from HVI classing
data means that critical fiber properties are not taken
into account in the fiber selection and laydown consti-
tution process. This may lead to unpredictable changes
in within-laydown variability which can be rather det-
rimental,25 unless the current procedures would allow
an indirect control of this variability. For instance, if
those properties can be predicted using HVI parame-
ters, the current fiber selection practices may have the
potential to control for their variability in the laydown.
However, this assumption remains to be verified
because it is unclear whether controlling micronaire,
length, length uniformity and bundle strength is suffi-
cient to control variability in properties such as fiber
length distribution. Indeed, fiber length distribution
patterns typically show complex features and are there-
fore difficult to classify using parameters such as meanvalues.19,24 The research reported in this paper aims at
testing the aforementioned assumption with a focus on
fiber length distribution. We examine the performance
of HVI parameters as criteria for clustering cottons into
homogenous distribution patterns and present a new
approach to classifying cotton bales using empirical dis-
tributions of fiber properties.
Materials and methods
A total of 172 commercial US upland cotton bales with
a wide range of fiber properties were included in this
study. To ensure the representativeness of the fiber
property measurements, each bale was divided into 10
layers and fiber samples were collected from each layer
for testing on HVI (High Volume Instrument, four rep-
lications for micronaire, four for color, and 10 for
length and strength) and AFIS (Advanced Fiber
Information System, three replications of 3000 fibers
each). All testing was done after proper conditioning
(65% RH, 21C). Testing instrument calibration was
checked daily using standard cottons and proper daily
maintenance and monitoring procedures ensured
Krifa 1245
at Ministry of Higher Education on May 9, 2012trj.sagepub.comDownloaded from
http://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/ -
7/27/2019 [Fiber length distribution]
4/12
reliability of all instruments.26 Table 1 contains a sum-
mary of the properties of the selected cottons and
shows the wide range achieved in all variables. In addi-
tion to the summary parameters, empirical histograms
for length, fineness and maturity were retrieved from
the AFIS test. Averages per bale for all HVI and AFIS
parameters, as well as for length distribution histo-
grams were derived to fully characterize each bale.
Using the data collected, we evaluated bale classifica-
tion using clustering techniques based on three sets of
criteria:
1. The usual HVI parameters using average values per
bale; the parameters considered were micronaire,
Upper Half Mean Length (UHML), length unifor-
mity index, and bundle strength (this corresponds to
the set of criteria used in common practice).
2. AFIS length parameters using average values per
bale of the mean length by number (Ln), the 5th
length percentile, as well as dispersion parameters,
namely length CV% by number (LnCV%), and
short fiber content (SFCn%).
3. Empirical histograms of individual fiber length using
the average histogram per bale. Clustering the bales
based on the empirical distribution is considered the
reference ranking in this analysis since the criteria
used constitute the most complete information avail-
able about individual fiber properties, which should
yield the highest possible homogeneity within quality
groups.
With each of the sets of criteria above as dimensions,
we used the k-Means clustering algorithm available in
the STATISTICA Data Miner program27 to classify
the bales into homogenous groups by minimizing the
within-group distances in the respective criteria taken
simultaneously. The analysis was conducted using the
Generalized EM and K-Means Cluster Analysis tool
which allows for an a-priori unknown number of clus-
ters (k) and estimates k from the data using the v-foldcross-validation algorithm.27 Thus, the analysis gener-
ates an estimate of the number of clusters (k) from the
data, then partitions the observations into the k clusters
that minimize the distances or dissimilarities between
observations within clusters, and maximize the distance
between clusters. Each cluster is characterized by its
centroid (the vector of means for the continuous vari-
ables or criteria27). The dissimilarities between clusters
and between observations within clusters are estimated
using the squared Euclidean distance between centroids
or, respectively, between each observation and its clus-
ter centroid in the multidimensional space constituted
by the classification criteria. For instance, in the cluster
analysis using HVI properties as criteria, micronaire,
UHML, uniformity and strength constitute a four-
dimensional space.
The number of clusters was estimated based on the
empirical histogram data. With each set of classification
criteria, length distribution data of the bales partitioned
into groups was used to estimate a length distribution
centroid, and then squared Euclidean distance between
each bale and the corresponding cluster centroid was
calculated to estimate the dissimilarity in length distri-
bution patterns within clusters. Likewise, the centroid
distributions were used to calculate the distancesbetween clusters.
Results and discussions
As mentioned above, the classification of the bales
using the empirical histograms of the fiber length dis-
tributions was considered the reference ranking in this
analysis. To derive this classification, the frequencies
observed for each length bin were used as classification
criteria in the k-means cluster analysis. The number of
clusters estimated using the cross-validation algorithm
as discussed above was five. Thus, both HVI and AFIS
data were used to cluster the bales into five homoge-
nous quality groups. We first examine the reference
classification obtained with the individual fiber length
distributions, then discuss the clusters derived with the
commonly used HVI properties.
Bale classification using empirical histograms
of individual fiber length
Figure 1 depicts the observed probability density traces
of the individual bales classified into homogenous
Table 1. Main fiber properties of the selected bales (HVI and
AFIS measurements on raw cotton)
Fiber properties Min. Max. Average
HVI
Micronaire 2.3 5.1 4.0
Upper Half Mean Length(UHML, mm)
24.2 31.4 28.3
Length uniformity (%) 78.0 85.1 81.8
Strength (g/tex) 21.7 35.5 29.1
AFIS
Mean length by number (Ln, mm) 14.5 22.4 18.8
Short Fiber Content by number
(SFCn, %)
19.7 45.1 29.5
Upper Quartile Length by weight
(UQLw, mm)
28.3 37.8 33.6
Maturity ratio (MR) 0.73 0.95 0.86
Fineness (mtex) 142 184 163
1246 Textile Research Journal 82(12)
at Ministry of Higher Education on May 9, 2012trj.sagepub.comDownloaded from
http://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/ -
7/27/2019 [Fiber length distribution]
5/12
groups using the k-means cluster analysis with length
histograms as classification criteria. The density traces
for the individual bales are shown in fine gray lines. The
density trace shown in bold broken line represents the
centroid for the corresponding cluster. The broken ver-
tical line at x 30 mm was added to emphasize the
relative positioning of the five clusters on the length
axis.
The plots generated for the five groups show distinct
patterns across clusters with relatively homogenous dis-
tribution shapes within clusters. Therefore, using the
k-means clustering approach and the observed length
distribution data, it was possible to automatically and
quickly classify a sizeable number of cotton bales into
groups with homogenous distribution patterns.
Observed cotton fiber length distribution patterns
result from a combination of intrinsic (genetic and envi-
ronmental) and processing factors. Mechanical damage
in cotton fiber processing, both shifts the fiber length
distribution and alters its shape. As a result of these
interactions, the distributions exhibit complex, often
bimodal, patterns which depend on the degree of fiber
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
Probab
ility
0 10 20 30 40 50 60
Length (mm)
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
Probability
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0 10 20 30 40 50 60
Probability
Length (mm)
(c)
(b)
(d)(a)
(e)
Individual bales
Cluster centroids
X = 30 mm
Figure 1. Probability density traces of the 172 bales categorized into five clusters using empirical length histograms.
Krifa 1247
at Ministry of Higher Education on May 9, 2012trj.sagepub.comDownloaded from
http://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/ -
7/27/2019 [Fiber length distribution]
6/12
damage undergone by the cotton.19,24,28 With such
complex shapes, the summary statistics typically used
to describe fiber length (means, percentiles, short fiber
content. . .) are not representative of the distribution,
and cannot be used to classify cottons into groups
with similar distribution patterns. Thus, the common
way to compare and classify samples with varied
degrees of fiber damage into groups with similar distri-
bution shapes is to visually examine the empirical
length histograms. However, this can only be done
with a limited number of samples and cannot be prac-
tically applied when dealing with hundreds or thou-
sands of bales to constitute laydowns, or when
analyzing hundreds of samples to select genotypes in
breeding programs. The approach we show above over-
comes this problem and allows the automatic and quick
classification of a large number of samples into groups
with similar distribution patterns.
The distribution groups, shown in Figure 1, differ in
both shape and position on the length axis, which, as
indicated above, corresponds to both intrinsic and pro-
cess-related sources of variability. We have sorted the
five groups on Figure 1 (from A to E) by order of
increasing fiber damage according to the characteristic
distribution shapes.19 In particular, clusters A, B, and C
(Figure 1) show a clear bimodal shape with a peak in
the range of very short fibers (x< 5 mm), and another
distinct peak in the length categories between 20 and
30 mm. This pattern is characteristic of an intermediate
stage of fiber breakage process typically seen in raw
cotton that underwent some degree of mechanical
aggressiveness in ginning and lint cleaning.19,28
Clusters D and E (Figure 1) on the other hand, still
exhibit the peak at x
-
7/27/2019 [Fiber length distribution]
7/12
significantly in HVI fiber properties, with exception
made of the fact that clusters A and B have equal
fiber strength values. Those two clusters, seen above
as having a distribution pattern characteristic of low-
intermediate degree of fiber damage, appear to be con-stituted of the strongest bales (average strength is
30.2 g/tex), and are characterized by the two highest
micronaire levels, respectively 4.2 and 4.6 (Figure 2).
At the other end of the spectrum, cluster E shows the
lowest micronaire (2.9) and strength (24.6 g/tex), and as
discussed above, the length distribution pattern with
the most advanced fiber damage level. Overall, the dif-
ferent distribution shapes seen across the five groups of
bales correspond to different degrees of damage that
can be caused by variations in upstream processing
conditions (mechanical aggressiveness in ginning and
lint cleaning) or variations in the cottons propensity
to break, which was shown to depend on fiber maturity
and strength.19,24 For instance, the distribution shape
seen in cluster E (Figure 1) is distinctive of immature-
weak cotton that reached a degree of extensive fiber
damage even at the bale stage. Therefore, the k-means
clustering approach using observed length distributions
allowed the classification of the tested cotton bale pop-
ulation into homogenous groups. The various distribu-
tion patterns observed for those groups appear to be
representative of varying degrees of fiber damage.
Because of the close relationship between fiber
damage and maturity and strength,19,24 clustering the
cotton bales into homogenous groups according to
length distribution patterns shows the potential of
effectively discriminating between cottons with differing
micronaire and strength levels.
Parametric classification using HVI and AFIS statistics
In addition to the classification discussed above, both
HVI and AFIS parameters were used to cluster the
bales into five homogenous quality groups. HVI classi-
fication constituted bale clusters based on micronaire,
UHML, length uniformity index, and bundle strength.
AFIS classification was based on four length parame-
ters by number (mean length, length CV%, length 5th
percentile, and short fiber content19). The clustering
technique was similar to above; the analysis constituted
five groups that minimized the within-group and max-
imized the between-group variability in the selected
classification criteria.
Table 2 summarizes mean values of micronaire,
UHML (mm), length uniformity index (%) and
strength (g/tex) for the five bale groupings constituted
based on the four HVI criteria. The clusters are shown
in Table 2 by increasing micronaire value. The cluster
mean values and associated standard deviations
showed significant differences between clusters in each
of the four HVI fiber properties.
Table 3. Cluster means for AFIS mean length by number (Ln), length CV%, and length 5 th percentile
(Pc5.0)
Cluster Ln (mm) LnCV(%) SFCn(%)
Pc5.0
(mm)
Number
of cases
Percentage
(%)
AF-1 16.09 56.0 38.0 30.2 18 10.5
AF-2 17.69 52.6 31.5 31.5 25 14.5
AF-3 18.55 55.3 31.8 34.3 56 32.6
AF-4 19.77 47.6 23.9 32.8 31 18.0
AF-5 20.45 51.6 26.0 35.9 42 24.4
Table 2. Cluster means for micronaire, staple length (mm), length uniformity index (%), and bundle strength
(g/tex)
Cluster Micronaire
UHM length
(mm)
Uniformity
index (%)
Strength
(g/tex)
Number
of bales
Percentage
(%)
HVI-1 2.7 26.8 79.3 24.4 9 5.2
HVI-2 3.5 28.8 81.3 27.8 42 24.4HVI-3 3.8 25.4 80.5 26.0 13 7.6
HVI-4 4.1 29.9 82.9 30.9 52 30.2
HVI-5 4.5 27.6 82.0 29.3 56 32.6
Krifa 1249
at Ministry of Higher Education on May 9, 2012trj.sagepub.comDownloaded from
http://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/ -
7/27/2019 [Fiber length distribution]
8/12
Table 3 summarizes the data observed for each of
the five clusters obtained with the four AFIS length
parameters. Overall, the clusters exhibit sizably differ-
ent mean values in each criterion with the exception
made of the comparable short fiber content in the
groups labeled AF-2 and AF-3.
We now examine the three classifications obtained
above and compare the performance of each set of cri-
teria in adequately grouping the bales, that is, in pro-
ducing distinct and homogenous clusters that minimize
the within-group variability and maximize the between-
group variability.
Classification performance
As mentioned in the methods section, the dissimilarity
of the distribution patterns within clusters was esti-
mated using the squared Euclidean distances between
the length distributions of individual bales and the cor-
responding cluster centroid. Respectively, the dissimi-
larity of the distribution patterns between clusters was
estimated using the squared Euclidean distances
between cluster centroids. This was done for each of
the three classifications discussed above, namely, the
classification based on the empirical histograms and
the two parametric classifications based on HVI and
AFIS parameters. The squared Euclidean distance
results were used to calculate the ratio of total
between-cluster over the total within-cluster variability
of distribution patterns for each of the three classifica-
tions. Based on the discussion above, this ratio mea-
sures the classification performance because the higher
it is, the more distinct and homogenous the clusters are.
Figure 3 shows the ratios so obtained for the three
classifications.
It is apparent that as expected, the criteria based on
the empirical histograms produce the classification with
the highest ratio. The classification based on AFIS
parameters produces the middle ratio while the one
based on HVI parameters produces the lowest ratio.
This indicates that as we move from the empirical his-
togram to the parameters used in the industry to clas-
sify cotton bales, the probability to obtain balecategories with heterogeneous distribution patterns
increases.
To scrutinize this observation in more depth, we
examine the detail of the distances obtained for the
individual bales partitioned into the five clusters using
HVI parameters. The results of this analysis are shown
on Figure 4 where both individual values (upper plot)
and standard deviations (lower plot) of the squared
Euclidean distances are plotted against the five HVI
groups (HVI-1 to -5).
The results in Figure 4 show a high dispersion of the
Euclidean distance for the clusters with high micronaire
levels (cluster HVI-5 and to some extent cluster HVI-4
which has two bales with extreme length distribution
dissimilarity in comparison to the cluster centroid).
These results indicate that the clustering of the bales
based on HVI parameters resulted in some groups of
bales with relatively heterogeneous length distribution
patterns. The heterogeneity within groupings appears
to be higher for the categories with high micronaire
levels.
The practical implication of the observation made
above is that in constituting the spinning laydowns
Figure 4. Variability chart for length distribution pattern dis-similarity within HVI clusters (squared Euclidean distance).
0.2
0.25
0.3
0.35
0.4
0.45
0.5
Empirical histogramAFIS (Ln)HVI
DistanceRatio(between/withinclusters)
Figure 3. Between-/within-cluster ratio of Euclidian distance
(distribution dissimilarity) based on the three sets of criteria.
1250 Textile Research Journal 82(12)
at Ministry of Higher Education on May 9, 2012trj.sagepub.comDownloaded from
http://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/ -
7/27/2019 [Fiber length distribution]
9/12
based solely on HVI data, bales with dissimilar length
distribution patterns could be substituted for each
other (being from the same category) and could there-
fore result in variability between laydowns that remains
unaccounted for. In the particular case of the popula-
tion we tested, bales within the 4.1 and 4.5 micronaire
categories (see Table 2) could be considered essentially
identical because of having similar HVI properties,
but may represent significant variability in length
distribution. An illustrative example of this variability
in each of the two groups of bales is shown in Figure 5.
For each group, we plotted length distribution den-
sity traces for two bales showing high Euclidean dis-
tance from the clusters centroid (shown in broken bold
line).
In both cases shown in Figure 5, the distribution
patterns are different and exhibit distinct shape features
that typically correspond to cottons with different
degrees of fiber damage, (i.e. different propensities to
break and/or processing history).19 Those bales were
classified in different clusters when using the empirical
histograms as criteria but were attributed to the same
groups when HVI parameters were used as criteria.
This result is indicative of the fact that the four majorHVI fiber properties are not sufficient to predict length
distribution patterns since cotton bales having similar
HVI measurements may have very distinct length
distributions.
The bales depicted in Figure 5 are just examples
among about 39 bales (or 23% of all tested bales)
that appeared to be misclassified based on HVI data.
In order to identify the factors impacting this misclas-
sification, we examined the combinations of fiber prop-
erties of pairs of bales that had comparable HVI
properties but exhibited significantly different distribu-
tion patterns (similar to the cases illustrated in
Figure 5). A particular emphasis was placed on those
fiber characteristics that are known to impact the cot-
tons propensity to break and thus length distribution
pattern, which include fiber maturity.19,24
Figure 6 depicts the relationship between micronaire
and the two fiber maturity parameters measured using
the AFIS (i.e. the immature fiber content (IFC %) and
maturity ratio) for the bale clusters exhibiting misclas-
sified bales with HVI. The pairs of bales with similar
HVI properties but distinct length distribution patterns
are represented using two different point markers
depending on the distributions positioning relative to
the respective clusters centroid. Bales with distribu-tions at the left of the centroid, that is those having
degraded length with relatively extensive fiber damage
(e.g. bales #30 and #12 in Figure 5), are shown in bold
dark dots. Bales with distribution at the right of the
centroid (i.e. with a lower degree of fiber damage),
are shown with asterisk point markers. Two curves
(dotted lines) were added to the scatter plots to outline
each of the two groups of bales. The rest of the bales
are shown in gray circle markers.
It can be seen from Figure 6 that the two groups
correspond to pairs of bales having two levels of matu-
rity for the same micronaire values. The samples with
degraded length distributions are those that have a
higher IFC% and a lower maturity ratio, while the
bales with a lower degree of damage have a lower
IFC% and a higher maturity ratio for the same micro-
naire levels. It appears therefore that the misclassifica-
tion of some of the bales based on HVI parameters is
related to the fact that bales having the same micro-
naire may correspond to different maturity levels, given
the nature of micronaire as a complex measure of both
maturity and fineness. Thus bales having the same
micronaire (i.e. classified in the same HVI categories),
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
Probability
Bale#12
Bale#121
Cluster centroid
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0 20 40 60
Probability
Length (mm)
Bale#30
Bale#75
Cluster centroid
(a)
(b)
Figure 5. Length distribution pattern variability within clusters
HVI-4 (a) and HVI-5 (b).
Krifa 1251
at Ministry of Higher Education on May 9, 2012trj.sagepub.comDownloaded from
http://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/ -
7/27/2019 [Fiber length distribution]
10/12
but having different maturity levels will ultimately lead
to the high variability in fiber length distribution as
illustrated in Figure 5.
Conclusions
In order to test the effectiveness of current cotton fiber
classification and selection procedures in controlling for
variability in fiber length distribution, k-means cluster
analysis was used to classify a broad range of 172 com-
mercial cotton bales into homogenous quality groups
based on three sets of classification criteria. The first set
of criteria consisted of the major HVI parameters com-
monly used in commercial classification and in fiber
selection in spinning operations; the parameters consid-
ered were micronaire, UHML (mm), length uniformity
index (%) and bundle strength (g/tex). Another set of
criteria consisted of fiber length parameters provided by
the AFIS. In addition to those parametric criteria, a
new approach based on empirical histograms of fiber
length distribution was also used. Using this new
approach, it was possible to quickly classify a sizable
number of cotton bales into groups with homogenous
length distribution patterns which appeared representa-
tive of varying degrees of fiber damage. Because of the
impact of fiber maturity and strength on the propensity
to break, clustering the bales based on length distribu-
tion patterns resulted in groups with different micro-
naire and strength levels.
A comparative analysis of the three approaches
revealed that when classification was done using HVI
properties only, approximately 23% of the bales
appeared misclassified, (i.e. cottons with significantly
different length distributions were attributed to the
5
6
7
8
9
10
11
12
13
ImmatureFiberContent(IFC%)
Bales with length distributions left of centroid
Bales with length distributions right of centroid
3.6 3.8 4.0 4.2 4.4 4.6 4.8 5.0
Micronaire
0.78
0.80
0.82
0.84
0.86
0.88
0.90
0.92
0.94
0.96
Maturityratio
(b)
(a)
Figure 6. Relationship between micronaire and maturity parameters; (a) Immature Fiber Content (IFC%), and (b) Maturity ratio.
Bales showing extreme length distribution patterns within clusters are shown in distinct point markers.
1252 Textile Research Journal 82(12)
at Ministry of Higher Education on May 9, 2012trj.sagepub.comDownloaded from
http://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/ -
7/27/2019 [Fiber length distribution]
11/12
same categories), which could result in undesirable lay-
down variability in critical properties such as short fiber
content. The examination of the interactions among
fiber properties indicated that the misclassification of
those bales based on HVI parameters is related to the
nature of micronaire as a complex measure of both
maturity and fineness. Therefore, bales having thesame micronaire may correspond to different maturity
levels, and given the link between maturity and fiber
damage, this can result in significant variability in
fiber length distribution. This result underscores the
need for, and the potential usefulness of high volume
measurement tools that could provide separate deter-
mination of maturity and fineness. The availability of
such methods could prevent bale misclassifications
resulting from misinterpretation of micronaire values
and thus ensure better control of the variability in
fiber length distribution. This research continues in
order to quantify the potential impact of this variability
on processing performance and, ultimately, on yarn
quality, as well as to identify combinations of classifi-
cation criteria that could help minimize variability
within bale categories.
Acknowledgements
This research was funded, in part, by the Food and Fibers
Research Grant Program administered by the Texas
Department of Agriculture (grant number FF-d1011-7) and
by Cotton Inc., Texas State Support (grant number 11
813TX).
References
1. Clouvel P et al. Variability of Cotton Fiber Quality. In: 2nd
world cotton research conference new frontiers in cotton
research. Athens, Greece, 1998, International Cotton
Advisory Committee.
2. Davidonis GH, et al. The cotton fiber property variability
continuum from motes through seeds. Textile Res J 1999;
69(10): 754759.
3. Bednarz CW, Nichols RL and Brown SM. Plant density
modifies within-canopy cotton fiber quality. Crop Sci
2006; 46: 950956.
4. Lord E. The characteristics of raw cotton. In: Coulson
AFW and Tordoff M (eds) Manual of cotton spinning.
Vol 2 Part 1. Manchester (GB): The Textile Institute and
Butterworth & Co. 1961, pp.xii+333.
5. Earnest DW. Advancements in USDA cotton classing
facilities. In: Beltwide Cotton Conferences. Nashville, TN,
1996. Memphis, TN: National Cotton Council of America.
6. El Mogahzy YE. Fiber-to-fabric engineering: optimization
of cotton fiber quality. In: Basra AS (ed.) Cotton fibers:
Developmental biology, quality improvement, and textile
processing. New York: The Haworth Press, 1999,
pp.339376.
7. Chewning C, Zeplin J and Vodicka S. EFS Cotton Fiber
Management System GINNet. In: Beltwide Cotton
Conferences. San Diego, CA, 1994. Memphis, TN:
National Cotton Council of America.
8. Yancy CHJ. More US cotton going to overseas mills.
Southeast Farm Press 2003; 1.
9. Lewis HL. High volume instrument classing: The
key to cotton quality and competitiveness. In: Beltwide
Cotton Production Research Conferences. Nashville, TN,
1989. Memphis, TN: National Cotton Council of
America.
10. El Mogahzy YE. Optimizing cotton blend costs with
respect to quality using HVI fiber properties and linear
programming Part 1: Fundamentals and advanced
techniques of linear programming. Textile Res J 1992;
62(1): 18.
11. El Mogahzy YE and Gowayed Y. Theory and practice of
cotton fiber selection Part 1: Fiber selection techniques
and bale picking algorithms. Textile Res J 1995; 65(1):
3240.
12. Kang B, et al. A simplified optimization in cottonbale selection and laydown. Fibers Polym 2000; 1(1):
5558.
13. El Mogahzy Y. An integrated approach to analyz-
ing the nature of multicomponent fiber blending Part
I: Analytical aspects. Textile Res J 2004; 74(8): 701712.
14. Hunter L. Worldwide trends in cotton fiber testing.
In: Beltwide Cotton Conferences. New Orleans, LA,
1997. Memphis, TN: National Cotton Council of
America.
15. El Mogahzy YE, Broughton R and Lynch WK.
Statistical approach to determining the technological
value of cotton using High Volume Instrument fiber
properties. Textile Res J 1990; 60(9): 495500.16. Militky J. Quantification of cotton fiber quality. In:
Beltwide Cotton Conferences Cotton Quality
Measurements. San Antonio, TX, 2006. Memphis, TN:
National Cotton Council of America.
17. Uster Technologies AG. Introduction to Uster Statistics.
2006.
18. Davidonis G, Landivar J and Fernandez C. Effects of
growth environment on cotton fiber properties and
motes neps and white speck frequency. Textile Res J
2003; 73(11): 960964.
19. Krifa M. Fiber length distribution in cotton processing:
dominant features and interaction effects. Textile Res J
2006; 76(5): 426435.
20. Zeidman MI, Batra SK and Sasser PE. Determining short
fiber content (SFC) in cotton. Part 1. Some theoretical
considerations. Textile Res J 1991; 61(1): 2130.
21. Uster Technologies AG. Uster AFIS PRO What does
the data mean? Uster, Switzerland. 2004, p.13.
22. Bragg CK and Shofner FM. A rapid, direct measurement
of short fiber content. Textile Res J1993; 63(3): 171176.
23. Ethridge D and Krifa M. Renewed focus on short fibers.
Textile Topics 2004; 3-Summer 2004: 18.
24. Krifa M. Fiber length distribution in cotton processing: a
finite mixture distribution model. Textile Res J 2008;
78(8): 688698.
Krifa 1253
at Ministry of Higher Education on May 9, 2012trj.sagepub.comDownloaded from
http://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/http://trj.sagepub.com/ -
7/27/2019 [Fiber length distribution]
12/12
25. El Mogahzy YE and Gowayed Y. Theory and practice of
cotton fiber selection Part 2: Sources of cotton mix
variability and critical factors affecting it. Textile Res J
1995; 65(2): 7584.
26. Hequet E and Ethridge D. Monitoring and control of the
AFIS instrument. Textile Topics 2000; 3Fall 2000: 28.
27. StatSoft Inc., STATISTICA (data analysis software
system), 2011.
28. Krifa M. A mixed Weibull model for size reduction of
particulate and fibrous materials. Powder Technol 2009;
194(3): 233238.
1254 Textile Research Journal 82(12)