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BOR - Papers in Press, published online ahead of print September 22, 2004.
Biol Reprod 2004, 10.1095/biolreprod.104.032730
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BIOLOGY OF REPRODUCTION 72, 316–327 (2005)
DOI: 10.1095/biolreprod.104.032730
© 2005 by the Society for the Study of Reproduction, Inc.

Sperm Subpopulations in Iberian Red Deer Epididymal Sperm and Their Changes Through the Cryopreservation Process1

Felipe Martinez-Pastor3, Vanesa Garcia-Macias4, Mercedes Alvarez4, Paz Herraez3, Luis Anel4, and Paulino de Paz2,3,4

Cell Biology and Anatomy3 and Animal Reproduction and Obstetrics,4 University of León, 24071, León, Spain


    ABSTRACT
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
We have applied a statistical protocol based on principal component analysis, clustering methods, and discriminant analysis for the identification of sperm subpopulations in computer-assisted sperm analysis (CASA) data. Samples were obtained from the cauda epididymis of 11 Iberian red deer and cryopreserved following a standard protocol. Motility by CASA was analyzed just after sperm recovery, just before freezing, and after thawing, and eight motility descriptors for each individual spermatozoon were recorded. Sperm viability and acrosomal status were also assessed. Subpopulation analysis was performed in four sequential steps: principal component analysis using the eight motility descriptors; nonhierarchical clustering analysis (k-means) using the first two principal components; hierarchical clustering analysis (UPGMA); and selection of the final number of clusters. Three clusters were obtained for each motility analysis: slow and nonlinear; rapid and linear; and rapid, high ALH, nonlinear. We detected variations in the clusters between treatments (initial, prefreezing and postthawed). Indeed, motility increased and linearity decreased in the prefreezing analysis. A discriminant analysis isolated three descriptors that were used again in the same statistical analysis, giving four clusters that resembled the pattern found in the first classification. We also performed a clustering analysis of the males according to prefreezing/postthawed variation of total motility, viability, and acrosomal status. The proportion of the linear subpopulations in the prefreezing treatment, in both clustering analyses, correlated positively with postthawed viability recovery. Our results show that clustering analysis of CASA data gives useful and practical information that is not obtained by conventional sperm analysis.

CASA, cluster analysis, cryopreservation, epididymal sperm, epididymis, gamete biology, Iberian red deer, sperm, sperm motility and transport, sperm subpopulations


    INTRODUCTION
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
The presence of several distinct subpopulations within sperm samples is nowadays widely accepted by the scientific community. Although the mechanism of formation of these subpopulations and their physiological role are not yet clear [1, 2], many authors have found that susceptibility to capacitation and fertilizing ability varies depending on the subpopulation studied [35]. Therefore, the development of experimental techniques and statistical analyses aimed at identifying and isolating subpopulations depending on several characteristics is of great interest, not only because of the study of sperm biology, but also because of practical and economical reasons [6, 7]. In fact, many sperm separation methods, such as density gradient centrifugation or the swim-up, are based on the isolation of sperm subpopulations with certain abilities specially related to fertility [2].

Subpopulation identification has been carried out according to very different sperm characteristics, such as biochemical parameters [811], functional tests [1218], or sperm morphology [2, 1921]. These studies have frequently reported a relationship between detected subpopulations and sperm quality, fertility, or its ability to resist cryopreservation.

Improvements in computer-assisted sperm analysis (CASA) devices have also enabled individual sperm to be distinguished in motility analysis and subpopulations characterized by motility descriptors to be identified by means of clustering algorithms. However, few studies have considered the existence of sperm subpopulations [22], implying that useful information may have been overlooked. The use of the mean values of motility descriptors oversimplifies the motility analysis, considering the whole sample as being an homogeneous one. Consequently, its internal variability is not taken into account, thus impairing the analysis of the relationship between motility and sperm quality and, ultimately, fertility [6, 23].

Many researchers have reached interesting conclusions after carrying out subpopulation studies. A large number of these studies were performed using the PATN software, a powerful collection of statistical procedures aimed at the extraction and display of patterns in multivariate data. For instance, Abaigar et al. [22] showed that the addition of caffeine or bicarbonate or cryopreservation with different extenders altered the subpopulation pattern of boar and gazelle semen. Another study on gazelle semen [24] indicated that the subpopulation pattern was altered depending on the voltage used during electroejaculation, seminal fraction, body weight, and storage time. Thurston et al. [25] included a multivariate analysis of boar semen, obtaining three subpopulations with different motility qualities. In general, the analysis performed with this software consisted of a so-called nonhierarchical clustering step followed by a hierarchical one, which rendered the final clusters.

Other researches have used other statistical methods based on less specific software but not that are less efficient. Most of them performed nonhierarchical clustering on the CASA data, using the k-means model, although others [6] also explored some hierarchical procedures. Among the studied species are human [26, 27], common marmoset [6], stallion [28], and boar [6, 7]. These studies reported some interesting data on sperm subpopulation variations with regard to resistance to cryopreservation [27], presence of stimulants [6], storage, and fertility [28] and between-boar variability [7].

The aim of the present study was mainly to develop a multistep statistical protocol that would enable the subpopulation composition of a sperm sample to be determined using the motility data obtained from CASA analysis. We also intended this protocol not to be dependent on one particular statistical package but to be easily portable to any software capable of performing principal component analysis and clustering procedures. We based the protocol on two successive steps of nonhierarchical and hierarchical clustering procedures, to combine the advantages of both techniques. However, as stated by other authors [22, 28], most motility descriptors are highly correlated and present different scales of measure, which are considerable problems when performing certain statistical clustering methods. Therefore, before the clustering steps, we performed a principal component analysis, reducing the number of descriptors to a few uncorrelated and standardized variables (principal components). We then used a statistical method based on the clustering history of some statistics to determine the more suitable number of final clusters. Furthermore, a discriminant analysis determined which motility descriptors were the most important discriminating between the found clusters, and another clustering analysis was performed to determine if reliable subpopulations could be obtained by reducing the initial amount of descriptors.

For this study, we used Iberian red deer epididymal sperm, which was analyzed for motility just after being obtained, before freezing, and after thawing. Our intention was not only to determine if we could separate sperm subpopulations but also to study the variation of the subpopulation structure among the three treatments (initial, prefreezing, and postthawed), and its relationship with the whole sperm population, the subpopulation of progressive spermatozoa, and the subpopulation of rapid spermatozoa (obtained apart from the clustering analysis). Finally, we investigated the relationship between sperm freezability (taken as the difference between postthawed and prefreezing values of some parameters) and the motility subpopulations found in the study.


    MATERIALS AND METHODS
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
All chemicals were obtained from Sigma (Madrid, Spain). Media were not bought as such but prepared in our laboratory as referred. Table 1 shows a list of acronyms frequently used throughout this work.


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TABLE 1. Definitions of acronyms used in this work

Genitalia Collection and Sperm Recovery

Genitalia were collected from 11 Iberian red deer (Cervus elaphus hispanicus) harvested in several private hunting reserves in the region of Cáceres (Spain). All the animals were adults and lived in a free-ranging regime. Sample collection was carried out during the first fortnight of December.

Harvest plans followed the Spanish Harvest Regulation, Law 19/01 of Extremadura, which conforms to European Union Regulations. Furthermore, species and number of individuals that can be hunted, as well as the exact times of the year when hunting can take place, are reviewed each year by the Annual Hunting Regulation of the respective regions. Animal manipulations were performed in accordance with the Spanish Animal Protection Regulation, RD223/1998, which conforms to European Union Regulation 86/609 and adheres to guidelines established in the Guide for Care and Use of Laboratory Animals as adopted and promulgated by the American Society of Andrology.

Scrotum, including testicles and epididymes, was removed from the carcass and refrigerated down to 5°C as soon as possible. Date and time of death, collection, and refrigeration were recorded and attached to the corresponding sample. Refrigerated genitalia were sent to our laboratory at the Veterinary Clinic Hospital of the University of León (Spain), arriving about 24 h postmortem.

Sample manipulation was carried out in a walk-in fridge (5°C). Testicles with epididymes and vas deferens attached were isolated from scrotum and other tissues. Epididymes were dissected free from the testicles and cleaned of connective tissue. To avoid blood contamination, superficial blood vessels were previously cut, wiping their contents and drying thoroughly the surface of the cauda. Sperm was collected, making several incisions on the cauda epididymis with a surgical blade and taking the liquid emerging from the cut tubules with the aid of the blade.

Cryopreservation Protocol

Sperm (still at 5°C) was diluted 1:1 with Tes-Tris-Fructose extender, containing 10% egg yolk and 4% glycerol [29]. After resting 2 h at 5°C, the sample was further diluted with the same extender down to 100 x 106 sperm/ml and packed in 0.25-ml French straws. Freezing was carried out using a programmable biofreezer (Planner MRIIx) at –20°C/min down to –100°C and then transferred to liquid nitrogen containers. Thawing was performed by dropping the straws in water at 65°C for 6 sec.

Computer-Assisted Sperm Analysis

Samples were analyzed just after recovery (initial assessment), just before freezing (prefreezing assessment), and after thawing (postthawed assessment). We will refer to these three stages as treatments.

Sperm were diluted down to 10–20 x 106 spermatozoa/ml in a buffered solution (20 mmol/L Hepes, 197 mmol/L NaCl, 2.5 mmol/L KOH, 10 mmol/L glucose; pH 7, 400 mOsm/kg) and warmed on a 37°C plate for 20 min. Then a prewarmed Makler counting chamber (10 µm depth) was loaded with 5 µl of sample. The CASA system consisted of an optical phase-contrast microscope (Nikon Labophot-2) (endowed with negative phase-contrast objectives and a warming stage at 37°C), a Sony XC-75CE camera, and a PC with the Sperm Class Analyzer software (SCA2002; Microptic, Barcelona, Spain). The magnification was 10x. All samples were analyzed at least twice to discard errors due to incorrect sampling. At least five fields per sample were acquired, recording at least 100 motile sperm. Image sequences were saved and analyzed afterward. CASA acquisition parameters were 25 images acquired at an acquisition rate of 25 images per second.

Samples were corrected and analyzed using the editing facilities provided by SCA2002. Events other than spermatozoa were removed, and settings were adjusted in each case to assure a correct track analysis. Whenever a field was considered to have incorrect analyzed tracks and correction was not suitable, it was removed. After each analysis, data were saved in an Excel file (Microsoft, Redmon, WA). For each sperm analyzed, the SCA2002 rendered the following data: VCL (velocity according to the actual path; µm/sec), VSL (velocity according to the straight path; µm/ sec), VAP (velocity according to the average, smoothed path; µm/sec), LIN (linearity; %), STR (straightness; %), WOB (wobble; %), ALH (amplitude of the lateral displacement of the sperm head; µm), and BCF (frequency of the flagellar beat; Hz). Detailed explanation of these descriptors of sperm movement is provided elsewhere [27, 3032]. Spermatozoa were considered motile when VCL > 10 µm/sec.

CASA Data Preprocessing

Data from SCA were processed with the help of Excel 4 macros programmed ad hoc. Excel files from SCA2002 were modified to give each observation (individual spermatozoa) two labels, identification of the animal and treatment. Then files were concatenated and the resulting file was used in further analysis. Data produced by statistical procedures were also processed with the aid of macros to assign cluster ownership. Also, we defined another two sperm subpopulations independently of cluster analysis: a rapid sperm subpopulation (each spermatozoa with VCL > 75 µm/ sec) and a progressive sperm subpopulation (progressive spermatozoa, each spermatozoa with VCL > 25 µm/sec and STR > 80%). These subpopulations will be referred to as PSP and RSP, respectively. We chose these parameters and these values because they were assigned in that way in the configuration of our CASA system for deer. For each subpopulation, we calculated the proportion of spermatozoa it comprised with respect to the total number of motile spermatozoa in the sample (SM) or with respect to the total number of spermatozoa (either motile or inmotile) in the sample (ST).

Evaluation of Sperm Viability and Acrosomal Status

Samples (prefreezing and postthawed) were diluted in buffered media (1:100, same composition that the one used for motility analysis) and stained with propidium iodide (PI; 25 µg/L) and PNA lectin conjugated with FITC (1 µg/ml). After 10 min, the samples were analyzed using a FACScalibur flow cytometer (Becton Dickinson, Franklin Lakes, NJ). We used a 15-mW argon laser that provided an excitation wavelength of 488 nm, using the FL3 photodetector channel to read the red emission light of PI (650 long-pass filter) and the FL1 photodetector channel to read the green emission light of FITC (530/30 band-pass filter). At least 10 000 events (spermatozoa detected, after discarding debris) were acquired. Considering that PI stains cells with damaged plasma membrane and that PNA-FITC stains acrosome-reacted cells, viability and acrosomal status were defined as the percentage of PI-unstained and FITC-unstained cells in the sample, respectively.

Statistical Analysis

All statistical analyses were carried out using the SAS/STAT package V.8 (SAS Institute, Cary, NC) [33]. The main objective of the analysis was to extract sperm subpopulations using the motility data obtained from each treatment, by means of a clustering procedure, and then compare subpopulations and treatments using {chi}2 and general linear models. P ≤ 0.05 was used for significance.

As a first step, we used the PRINCOMP procedure to perform a principal component analysis (PCA) of the motility data. The purpose of PCA is to derive a small number of linear combinations (principal components) from a set of variables that retain as much of the information in the original variables as possible. This allows summarizing many variables in a few jointly uncorrelated, principal components. A good result is when we obtain few principal components accounting for a high proportion of the total variance. To select the number of principal components that should be used in the next step of our analysis, we followed the criterion of selecting only those with an eigenvalue (variance extracted for that particular principal component) higher than one (Kaiser criterion).

As a second step, we performed a nonhierarchical cluster analysis using the FASTCLUS procedure and the selected principal components as variables. This procedure performs a disjoint cluster analysis on the basis of distances computed from one or more quantitative variables, using Euclidean distances (k-means model) to calculate cluster centers. This clustering method is often used with large data sets before trying a hierarchical one, to reduce the data to a few initial clusters and then pass them to the hierarchical procedure. After trying many options, we selected a maximum number of clusters of 15, as this number represents a fairly high number of initial clusters for the subsequent hierarchical procedure (too few initial clusters may have impaired the results of the last clustering step) but is not high enough to complicate the follow-up of the hierarchical clustering. We also took advantage of this step to detect outliers because this clustering procedure is very sensitive to them, which appear as clusters with only one member. Following detection, outliers can be removed and the procedure rerun.

The third step of the clustering analysis was carried out using the CLUSTER procedure, which performed a hierarchical clustering on the clusters obtained by the previous step, using the average linkage method (UPGMA) for joining the clusters. The procedure displays a history of the clustering process, giving useful statistics for estimating the number of clusters in the population from which the data are sampled. To determine the final number of clusters, we studied the evolution along the clustering process of three statistics provided by CLUSTER: the pseudo-t2, the pseudo-F, and the cubic clustering criterion (CCC). We looked for certain kinds of consensus among the three variables, to be precise. local peaks of the CCC and pseudo-F statistics combined with a small value of pseudo-t2 and a larger pseudo-t2 for the next cluster fusion. It must be noted that other methods can be used, but this one has the advantage of being simple and gives a good estimate of the clustering trend (Fig. 1). The output data sets of CLUSTER were passed to the TREE procedure, which drew a tree diagram (dendrogram) describing the clustering process and produced the n-clusters solution in a final data set, which was used in the subsequent statistical analysis.



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FIG. 1. Example of the dendrogram derived from the hierarchical clustering analysis and of the plot used for the determination of an adequate final number of clusters (data from the first clustering analysis, postthawed treatment). The plot on the left shows the dendrogram resulting from the hierarchical clustering of the 15 clusters derived from the PCA and subsequent nonhierarchical clustering of postthawed motility data. The plot on the right shows the line plot of CCC, pseudo-F, and pseudo-t2 statistics produced by the hierarchical clustering procedure, which helped find possible cut places in the dendrogram (the three variables were standardized to show all three in the same plot). Each step in the hierarchical clustering joins two clusters in a new one and generates new values for these three statistics. Suitable number of clusters are indicated by local high values of the CCC and pseudo-F statistics and low values of pseudo-t2 statistic, followed by decreasing CCC and pseudo-F and increasing pseudo-t2 in the next cluster fusion. In this case, the plot clearly indicates three final clusters, although numbers of five or eight may have been eligible for study

After clustering analysis, we compared treatments within subpopulations and subpopulations within treatments (we include clusters, PSP, RSP, and the whole motile sperm population within the term subpopulation). We used the GLM (general linear models) procedure to carry out an ANOVA on the data. Viability and acrosomal status before and after cryopreservation were also compared with this procedure. Previously, percentages were subjected to arc sine transformation and absolute measures to log transformation. The Student-Newman-Keuls test was used for pairwise comparison when results were significant. To study the distributions of observations (individual motile spermatozoa) between subpopulations within treatments and between treatments within subpopulations, we used the {chi}2 test, included in the FREQ procedure. When assumptions for {chi}2 test were violated, the exact Fisher test was used instead.

To determine whether we could reduce the original number of variables and still obtain informative results, we carried out a stepwise discriminant analysis (STEPDISC procedure) in the eight variables and the three clusters (separately for each treatment). This kind of analysis indicates which of the original variables best reveal differences among the given groups. Thus, we selected those variables with high discriminatory power in the three treatments and repeated the whole clustering analysis, entering only the selected variables. This time, we selected the number of principal components by the variance explained rather than by their Eigenvalues because we expected only one principal component with an eigenvalue higher than one due of entering fewer variables in the PCA.

Finally, we studied some aspects of the freezability of the individual sperm samples. We defined freezability as the difference between postthawed and prefreezing sperm quality. Therefore, we used three variables for determining the freezability of each sample: total motility, sperm viability, and acrosomal status, subtracting their postthawed value from the prefreezing one. We called the new variables TMdiff, VIABdiff, and ACRdiff, respectively. Then we carried out a clustering analysis to classify the males according to the values of these variables. This cluster analysis was performed by carrying out a PCA and hierarchical clustering on freezability parameters in an identical manner as described above but omitting the nonhierarchical clustering step (in this case, there were few initial objects, males, and this step was not necessary). Also, we carried out a correlation analysis between prefreezing variables (including those derived from the subpopulation study) and freezability variables. This analysis was performed using the Spearman correlation coefficients (CORR procedure).


    RESULTS
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
General Results and Preliminary Analysis

Samples acquired with CASA were analyzed and corrected. When a field could not be analyzed due to sampling errors (incorrect contrast or bright, causing most of the tracks to be incorrectly analyzed by the software), it was removed. After correcting the samples, we pooled all the data in a common database, with 893 observations for the initial analysis, 1526 observations for prefreezing, and 919 observations for postthawed analysis. Each observation was identified by three codes, the number of the deer, the treatment (initial, prefreezing, or postthawed), and the number of the sperm within each acquisition.

In general, motility parameters were good, even after thawing, considering the whole population, PSP, and RSP subpopulations (Table 2). Comparison of the proportion of motile, progressive, and rapid spermatozoa ({chi}2 test) indicated significant differences among all treatments. Total motility had the lowest values initially, improved greatly in the prefreezing, and decreased postthawed, but were still higher than in the initial treatment. Conversely, PSP decreased prefreezing and returned to initial values postthawed, which also gave good numbers of RSP (in fact, sperm velocity was higher postthawed). On the other hand, viability decreased significantly from a prefreezing value of 84.5% ± 1.5% to a postthawed value of 67% ± 1.8%, whereas the percentage of spermatozoa with damaged acrosomes, as indicated by PNA-FITC staining, increased significantly from 3.2% ± 0.7% to 8.1% ± 1.2%.


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TABLE 2. Summary of selected motility parameters obtained in this study (SM, ST, VAP, LIN, ALH, and BCF), considering subpopulations and treatments. Subpopulations include the whole population of motile spermatozoa, PSP, RSP, and the three subpopulations defined by the first clustering analysis (CL1, CL2, and CL3). The treatments are I, initial; PF, prefreezing; and PT, postthawed. Data are expressed as mean ± SD

First Cluster Analysis

For each treatment, PCA rendered two principal components with Eigenvalues above one (PRIN1 and PRIN2; Table 3), which accounted for more than 80% of the variance. Considering the scores of CASA parameters, the first principal component was related to fast and linear movement, whereas the second principal component was related to fast erratic movement, including wide head lateral displacement.


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TABLE 3. Summary of the results of the PCA performed on the CASA data

The two principal components entered in the nonhierarchical clustering, and the resulting 15 clusters were grouped into three clusters, after applying the hierarchical procedure and studying the plots of CCC, pseudo-F and pseudo-t2 vs. number of clusters (Fig. 1). The dot plots of the two principal components for each treatment showed that the positions of the three clusters were similar in the multidimensional space defined by these principal components (Fig. 2); thus, we related each cluster in each treatment to its equivalent in the other two treatments and denominated them CL1, CL2, and CL3. CL1 and CL2 were well defined by their PRIN1 values (in general, CL1 with negative values and CL2 with positive ones). Therefore, according to the Eigenvalues of the motility descriptors for PRIN1, CL1 would include slow and nonlinear spermatozoa, whereas CL2 would include fast and linear spermatozoa. In the same sense, CL3 has positive values for PRIN2, so this cluster would include fast, nonlinear sperm, with high ALH. These characteristics are reflected in the mean values of the motility descriptors (Table 2). Observing the variation in the clouds of dots between treatments, we observed a higher dispersion of CL3 in the initial treatment, whereas CL2 was compact in the initial and postthawed treatments, but more scattered in the prefreezing treatment. These changes correspond with alterations in their motility descriptors, as can be observed in Table 2.



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FIG. 2. Dot plots corresponding to the clusters obtained from the first analysis, defined by the two first principal components (PRIN1 and PRIN2). To follow the evolution of each subpopulation between treatments, each original dot plot was decomposed into three, showing only one cluster each. Each event represents one individual spermatozoa. The PCA enabled the resulting eight-dimensional space to be shown in a two-dimensional plot, not only preparing the data for the clustering analysis but also helping in its interpretation. Events are represented by different symbols to identify to which cluster they belong (CL1: circles; CL2: squares; CL3: triangles)

In general, the distribution of spermatozoa among the three clusters followed the trend found for the whole population and PSP and RSP subpopulations. Interestingly, PSP included 93% and 99% of CL2 (rapid and linear) in the initial and postthawed treatments, respectively, but in the prefreezing one, only 74% of CL2 was included into PSP, indicating a drop in the proportion of high-linear spermatozoa contained in CL2 (Fig. 3). On the other hand, RSP (Fig. 4) comprised the totality of CL3 (rapid and nonlinear) in the three treatments, plus a constant part of CL2 (around 75%). Although spermatozoa in CL1 were considered slow and nonlinear, 20–25% were included in PSP and around 11% (initial) and 18% (prefreezing and postthawed) were included in RSP.



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FIG. 3. Representation of the progressive (PSP) subpopulation in the space defined by the first two principal components (PRIN1 and PRIN2, from the first clustering analysis). To follow the evolution of each subpopulation between treatments, each original dot plot was decomposed into three, showing only one cluster each. Each event represents one individual spermatozoon. Events are represented by different symbols to identify to which cluster they belong (CL1: circles; CL2: squares; CL3: triangles)



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FIG. 4. Representation of the rapid (RSP) subpopulation in the space defined by the two first principal components (PRIN1 and PRIN2, from the first clustering analysis). To follow the evolution of each subpopulation between treatments, each original dot plot was decomposed into three, showing only one cluster each. Data from the initial, prefreezing, and postthawed analyses are presented from left to right. Each event represents one individual spermatozoon. Events are represented by different symbols to identify to which cluster they belong (CL1: circles; CL2: squares; CL3: triangles)

Clustering Analysis with a Reduced Set of Variables

We selected VCL, VSL, and LIN after carrying out the discriminant analysis. In the three treatments, these variables were among the four with the highest F and R2 values (indicating good discriminant power). BCF in the initial and VAP in the postthawed treatment also had good discriminant power but were rejected because they did not get good values in all three treatments. The PCA rendered three principal components, and the two with the highest Eigenvalues passed to the clustering analysis (Table 4). Although PRIN2 was lower than one, we included it in the analysis because it contributed with an appreciable proportion of the total variance. PRIN1 represented one variable related to both good velocity and linearity, whereas PRIN2 represented low velocity (VCL), but even better linearity than PRIN1.


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TABLE 4. Summary of the second PCA, performed only with the variables selected after the discriminant analysis

We obtained four clusters in each treatment, which were called CL1b, CL2b, CL3b, and CL4b, plus an extra cluster in the postthawed treatment, CL5b. Considering their characteristics (Table 5), CL1b and CL2b were similar to CL1 and CL3, respectively. CL3b and CL4b were similar to CL2, sharing good linearity, but CL3b was faster and had higher ALH. Moreover, the evolution of the proportions of CL1 and CL2 compared with CL1b and CL3b+CL4b, respectively, were very similar. However, CL2b behaved differently than CL3, peaking in the prefreezing treatment instead. The positions of each cluster in the space defined by the two principal components (Fig. 5) coincided in the three treatments, and it was possible to carry out an interpretation similar to the one in the first analysis. CL1b and CL3b were mainly defined by PRIN1 (slow and nonlinear vs. rapid and linear), and CL2b and CL4b by PRIN2 (rapid and nonlinear vs. comparatively slow and linear). CL5b could be considered as a residual subpopulation, considering its low proportion and that its position coincides with part of CL3b in the other treatments. The proportion of each subpopulation included in PSP was similar to the numbers reported for the first clustering analysis, CL3b and CL4b being almost completely included. Although CL3b dropped from above 90% to 87% in the prefreezing treatment, this decrease was less important that the one undergone by CL2. Regarding RSP, it comprised totally both CL2b and CL3b totally. There were interesting variations between treatments considering CL4b, being its proportions in RSP being 71%, 39%, and 25%, for the initial, prefreezing, and postthawed treatments, respectively. This matched the decrease of the mean values of VAP throughout the treatments, such as shown in Table 5. CL1b also underwent a consequent but less dramatic variation (12%, 17%, and 14%, for each treatment).


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TABLE 5. Clustering obtained after the discriminant analysis. Summary of selected motility parameters obtained in this study (SM, ST,VAP, LIN, ALH, and BCF), considering subpopulations and treatments. The treatments are I, initial; PF, prefreezing; and PT, postthawed. Data are expressed as mean ± SD



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FIG. 5. Clusters obtained after the discriminant analysis. Dot plots of the motility data defined by the two first principal components (PRIN1 and PRIN2). To follow the evolution of each subpopulation between treatments, each original dot plot was decomposed into three, showing only one cluster each. Data from the initial, prefreezing, and postthawed analyses are presented from left to right. Each event represents one individual spermatozoon. Events are represented by different symbols to identify to which cluster they belong (CL1b: circles; CL2b: squares; CL3b: triangles; CL4b: plus symbols). CL5b (black dots) is shown together with CL3b and CL4b in the corresponding plot

Study of Sperm Freezability

Table 6 shows the values for freezability parameters and the proportions of the subpopulations obtained in the first part of this study (prefreezing values) for each group of males. TMdiff, VIABdiff, and ACRdiff were introduced in the PCA, which rendered two principal components (Eigenvalues 1.38 and 1.06), taking account of 0.46 and 0.35 of total variance for each. The Eigenvectors of the three freezability variables, for PRIN1 and PRIN2, respectively, were TMdiff, 0.06 and 0.93; VIABdiff, 0.70 and –0.30; and ACRdiff, 0.72 and 0.20. In this case, PRIN1 was clearly related to viability and acrosomal status, whereas PRIN2 was mostly related to motility and, to a lesser degree, to viability (inversely) and acrosomal status. The classification of the males depending on freezability parameters is shown in Figure 6. According to the interpretation of the principal components, cluster 1 would contain the samples that better resisted cryopreservation (its location, with positive PRIN1 values suggested better VIABdiff and ACRdiff), whereas cluster 2 represented samples with worse (lower) VIABdiff and ACRdiff. TMdiff seemed little affected in both cases because these clusters have low absolute values for PRIN2. On the other hand, cluster 3 was characterized by bad VIABdiff and ACRdiff, but good motility recovery, because of PRIN2 positive values. Cluster 4 represented an interesting case because its position indicated bad motility and acrosomal status recovery, but, because of VIABdiff negative Eigenvector for PRIN2, viability recovery would be better than those of clusters 2 or 3. In fact, as shown in the dendrogram, male 11 may be an outlier, which would be removed from the analysis as more males were included in the study.


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TABLE 6. Description of the clusters obtained in the freezability clustering analysis (see Fig. 6)



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FIG. 6. Clustering of the males depending on the freezability of their sperm samples. A) The dendrogram with the males progressively joining in clusters, and the position where it was cut to form the final clusters. B) The males in the multidimensional space defined by the two first principal components extracted from PCA (PRIN1 and PRIN2). Ellipses indicate belonging to a concrete cluster. Compare the joining process in the dendrogram with the distances between males in the plot

Interestingly, clusters 1 and 4 seemed to have higher CL2 (rapid and linear) prefreezing proportions, whereas clusters 2 and 3 had higher CL1 (slow and no linear) prefreezing proportions (due to the low number of males, no significance test were performed). Cluster 4, with the poorest TMdiff and ACRdiff, had the highest CL3 (rapid and nonlinear) proportion. PSP and RSP proportions did not show any apparent relation with better or worse recovery of freezability variables. The correlation analysis rendered a significant correlation between CL2 and VIABdiff (r = 0.71, P = 0.015). No significant correlations were found between the other parameters. However, the sum of CL3b (very rapid and linear) and CL4b (rapid and linear) (considered roughly equivalent to CL2) also correlated with VIABdiff (r = 0.81, P = 0.003).


    DISCUSSION
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
Considerations on the Statistical Procedure

Multivariate clustering methods for the study of CASA data are not of general usage in sperm work. However, a review on articles that apply this kind of analysis show a number of interesting findings from this kind of analysis. We can also appreciate that different authors have chosen a great variety of combinations of different statistical tests. For instance, Davis et al. [27] carried out a multistep iterative procedure, combining the k-means model with multivariate discriminant analysis. On the other hand, Holt [6] compared a nonhierarchical clustering method (k-means model) with two hierarchical ones (UPGMA and WPGMC). However, these authors compared these methods but did not use them sequentially, such as in the present work. Abaigar et al. [22] used a different approach, using the PATN software. This software package provides many statistical tools that allow extracting and displaying patterns in multivariate data. These authors performed a nonhierarchical clustering carried out using nonparametric algorithms, its output was redirected to a hierarchical clustering analysis (UPGMA), and the final number of clusters was selected with the help of the FUSE module of the statistical package. To facilitate interpretation of data, they completed the analysis performing principal coordinates analysis and principal axis correlation, which allowed them to present multivariate data in a simpler format. This statistical package and a similar statistical procedure has been followed in other articles [24, 25, 34].

Other authors have followed simpler methods, which have provided useful information, though. Quintero-Moreno et al. [7, 28] selected the motility descriptors that should pass to the clustering step by means of applying the VARCLUS procedure of the SAS package, which divides a set of numeric variables into either disjoint or hierarchical clusters. This classification enables one to select the most representative parameters for the data to be studied. After selecting the most representative parameters, they performed a nonhierarchical cluster analysis using the k-means model (FASTCLUS procedure), obtaining the corresponding clusters.

The main objective of this work was to combine several statistical procedures to extract several clusters (sperm subpopulations) from CASA data. We based it on the cited studies, specially the one by Abaigar et al. [22]. However, we intended to develop a protocol that would not depend on one specific type of software, but could be easily implemented elsewhere (SPSS, Statistica, S/STAT, R, etc.). Thus, we have given a detailed description of the SAS procedures that we used. Because information on this statistical package is widely available [33], anybody with some knowledge of statistics should be able to apply the described analysis to their own statistical software. First, we had to decide which clustering analysis to use. Taking into account the huge amount of data that a CASA analysis can produce, we decided to perform the clustering in two steps: a previous nonhierarchical clustering, which would reduce the data to a relatively small number of clusters, followed by a hierarchical clustering step. Holt [6] recommended hierarchical clustering methods to the nonhierarchical k-means model because the former provide more information and allow the clustering process history to be thoroughly studied (to select the final number of clusters, for instance). Moreover, the use of the k-means model implies a previous knowledge of the clustering structure because the final number of clusters must be provided before performing the analysis (although some statistics can be used to test the efficacy of the clustering procedure). A good reason for the use of a nonhierarchical method as an intermediate step is the detection of outliers, as explained in Materials and Methods.

On the other hand, an important issue is the selection of the motility descriptors that may enter in the clustering analysis. Quintero-Moreno et al. [28] pointed out that most motility descriptors are often highly correlated and that the relative importance of these parameters may vary between species. In fact, these authors used the VARCLUS procedure to select the variables that would enter in the clustering analysis. Another problem is the need of transforming motility parameters before the clustering analysis, at least by performing a standardization step. Otherwise, some descriptors would outweigh others because of different scales. It is important to note that Abaigar et al. [24] overcame this problem without having to transform their data because they used nonparametric algorithms in their nonhierarchical clustering method. Our proposal for resolving these issues was to perform a principal component analysis before carrying out any clustering analysis. We thus converted a number of unstandardized, highly correlated parameters into a few variables representing linear combinations of the former parameters, standardized and uncorrelated. This analysis not only serves to simplify the interpretation of our data because of the parameter reduction but also provides abundant information that can be useful for the interpretation and representation of the results of the clustering analysis. We also carried out a discriminant analysis, from which we selected a subset of variables that were used successfully in the second clustering analysis. In fact, results obtained with that subset even provided more detailed information on some aspects, indicating the suitability of this kind of analysis when performing in-depth studies with CASA data.

Another fundamental issue in the clustering analysis is the selection of the final number of clusters obtained from the analysis. The study of the cluster distances and the dendrograms produced by hierarchical cluster analysis can greatly help in this step, especially when we have a previous knowledge of the internal structure of our data. The method used in this work, based on the evolution of pseudo-F, CCC, and pseudo-t2 statistics in the clustering process, has many limitations (it works better with compact or slightly elongated clusters [33]) but provides an objective and flexible way to determine the final number of clusters. Although many studies analyze significant differences among the mean values of clusters, these results should be carefully considered, especially if the analyzed variables were those that entered in the clustering analysis. The reason is that clustering algorithms tend to maximize the variability between clusters, thus significant differences are not surprising, but rather expected. Significant differences among clusters may be used as an aid to explain clusters' characteristics or, such as in this study, to show the differences between the clusters and other groups of motile sperm obtained by different means.

Subpopulation Structure and Cryopreservation Effects

The clustering analysis allowed us to obtain three distinct subpopulations. It may be interesting to test whether CL3 or CL2b (rapid and no linear spermatozoa) contained spermatozoa with some kind of hiperactivation, but unfortunately, the acquisition conditions (chamber only 10 µm deep) were not adequate to perform such an analysis. It is important to point out that we obtained the same number of subpopulations in the three treatments in both analyses and, although mean values were different for some parameters, their general characteristics remained similar. This indicates that the internal structure of the CASA data were mostly preserved, undergoing few changes through the processing and freezing-thawing. Interestingly, a similar pattern was obtained by Holt [6] in boar sperm after applying a hierarchical clustering method. However, other reports indicate different characteristics, especially considering sperm progressivity. This may have happened because of different clustering techniques, different species, and different sources of sperm. However, there is a general coincidence on the number of subpopulations (three or four, in general). Quintero-Moreno et al. [28] highlighted this coincidence between studies and suggested that this pattern could be a widespread fact.

On the other hand, the source of spermatozoa could be a very important factor regarding differences between works because epididymal and ejaculated spermatozoa are different in many senses. Although sperm from the cauda epididymis is almost analogous to ejaculated semen, it has not had contact with seminal plasma and its diverse factors, which are known to alter many characteristics of sperm [35, 36]. For instance, Holt [6] and Abaigar et al. [22] represented the location of the different clusters in plots in a multidimensional space defined by canonical or factor variables, where the clusters appeared mostly as clearly separated groups, whereas in our study, it was difficult to visually separate the cloud of points defined by PRIN1 and PRIN2 in well-defined groups. The lack of separation between clusters may be a characteristic of epididymal sperm, although we need to compare with ejaculated deer sperm to confirm this.

One interesting fact in our data are the higher proportion of motile sperm in thawed samples when compared with the initial sampling. This may seem surprising if we do not analyze the prefreezing sampling. To explain the variations in the motility characteristics in the three treatments, we have to consider many factors, the most important being the source of sperm. The samples (still in the cauda epididymis) arrived at our laboratory after being stored many hours at 5°C, and the first evaluation of motility took place in a relatively simple medium. Our experience with epididymal sperm has shown us that spermatozoa recently salvaged from the cauda epididymis generally are slower, compared with those from ejaculates, and frequently many of them just present a weak tail beat, with very slow displacement or none at all, and are therefore not detected as motile by CASA. Only after warming the sample for some time (generally from 20 to 40 min) did we obtain a stable and representative motility pattern that could be reliably measured with the CASA equipment. The situation was very different for the prefreezing samples, possibly because the sperm had been diluted with the extender. This is a more complex medium, including egg yolk, which is known to alter sperm motility [3739]. Epididymal sperm may undergo some changes when in contact with the extender, activating the motility of some sperm [40] and therefore altering the characteristics and proportions of the subpopulations, as we have observed. In fact, the increase in the proportion of CL1 (slow, nonlinear sperm) may be due mostly to the activation of spermatozoa that were not detected as motile in the initial sampling rather than the conversion of CL2 (rapid and linear) or CL3 (rapid and no linear) spermatozoa to CL1 spermatozoa. Furthermore, after being in contact with the extender, long warming times were not necessary anymore and motility could be acquired at 5 or 10 min of warming time with no difference. Nevertheless, we kept 20 min as the warming time, with respect to the initial protocol, considering that there was no alteration with regard to shorter times.

The discriminant analysis and the subsequent clustering analysis showed that it is possible to reduce the number of initial variables and still obtain a good subpopulation study. Still, the similarity of the subpopulation structure of both analyses (with the exception of the different number of subpopulations) suggest that most of the motility descriptors were redundant and may be removed from the analysis without problems. However, the use of more complex descriptors, such as those based on hyperactivation, angular and oscillation parameters, may improve this kind of study. However, the correct analysis of these parameters implies certain conditions that we were unable to achieve, such as sufficient chamber depth to allow the free movement of spermatozoa [41]. In the second part of the study, we obtained even more extensive information. For instance, assuming that CL3b+CL4b (very rapid and linear, and rapid and linear) were equivalent to CL2 (rapid and linear), that means that there were some variations in the internal structure of CL2 between different treatments. That is, CL3b was stable considering its motility parameters, but the mean velocity of CL4b dropped in the prefreezing and postthawed treatments when compared with the initial one, which was not evident in the mean values of CL2. The reason was that, in the prefreezing treatment, a considerable part of CL2b (rapid and nonlinear) was included in CL2, and, in the postthawed treatment, CL3b prevailed over CL4b. Although we considered CL2b equivalent to CL3 (rapid and nonlinear), it had a more complex nature because, in the initial treatment, many CL3 members (the most linear ones) were included in CL3b, and in the prefreezing treatment, as noted before, CL2b included not only CL3 but also part of CL2.

It is noteworthy that, without considering sperm subpopulations, all this interpretation would have not been possible. In fact, the inclusion of PSP (progressive) and RSP (rapid), although not as informative as the subpopulations derived from cluster analysis, provided some useful information that is not obtained when only the mean values of motility descriptors are considered. These subgroups have the advantage that they can be readily extracted from the CASA data. However, clusters provided more extensive results and there was not a clear identity between them and PSP or RSP. On the other hand, the definition of progressive or rapid spermatozoa allowed deepening the internal structure of the clusters.

Considering the freezability analysis, both sperm viability and acrosomal status were clearly affected by the cryopreservation process because these parameters are highly dependent on the status of sperm membranes. The clustering of the males according to our freezability parameters grouped effectively those samples with similar ability for maintaining these parameters after thawing. On the other hand, the correlation between the prefreezing proportion of CL2 and VIABdiff suggested some kind of relationship between the predominance of a sperm subpopulation and the outcome of the cryopreservation process. This seemed to be further supported by the correlation found between VIABdiff and the sum of the prefreezing proportions of CL3b and CL4b. The lack of correlation with CL3b or CL4b separately, but with CL3b+CL4b, may indicate that the presence of a subpopulation with linear spermatozoa, irrespective of its velocity, may be related to good postthawed recovery of sperm viability. Unfortunately, our limited data did not allow us to present a thorough analysis on this issue, including the relationship of subpopulations with fertility. Anyway, this was not one of the objectives of this study, which were aimed at applying the studied statistical methods and describing the subpopulations obtained. However, further studies should be carried out to test the real meaning of these subpopulations in relation to fertility, as suggested by other authors [27]. In this sense, Quintero-Moreno et al. [28], working with stallion sperm, found that ejaculates with high fertility shared a special subpopulation pattern. Nevertheless, the same authors [7] did not find such a relationship when studying boar semen. The exact nature of sperm subpopulations and their influence on the fertility of a sample may be a complex issue, and the use of different CASA protocols and statistical analyses may complicate the comparison between different studies.

In conclusion, we have applied a statistical method that enabled us to find sperm subpopulations defined by motility parameters. By examining the obtained subpopulations, we were also able to determine some characteristics of red deer epididymal sperm and were able to study the variations it underwent through a cryopreservation protocol. One interesting fact was the conservation of the subpopulation pattern between the different treatments. We could relate one of these subpopulations, characterized by rapid and linear spermatozoa, to good postthawed viability recovery. The study of two motility subgroups defined by us independently of the clustering analysis, one of rapid and the other of progressive sperm, helped to obtain useful information on the internal composition of the clusters. This study was necessarily limited, including the lack of fertility data, but the clustering analysis gave interesting information not available using conventional motility analysis. Due to the possibilities of this kind of analysis, we consider that the study of sperm subpopulations defined by motility descriptors should be widely considered, especially when including fertility results.


    ACKNOWLEDGMENTS
 
The authors thank Carlos Bernabé (Cáceres, Spain) for their collaboration in the collection of the samples used in this work and Ana Rocío Díaz, Enrique Anel, Juan Daniel Muro, and Patri Martínez for their help in the processing of the samples.


    FOOTNOTES
 
1 Supported by Junta de Castilla y León (AB29). Back

2 Correspondence: Paulino de Paz Biología Celular y Anatomía, Facultad de Biología y CC. AA. Campus de Vegazana (Universidad de León) 24071-León, Spain. FAX: 34 987 295 203; dbcppc{at}unileon.es Back

Received: 3 June 2004.

First decision: 15 July 2004.

Accepted: 14 September 2004.


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 DISCUSSION
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