Introduction
The Brazilian meat production is based manly on beef cattle. However, with the increase in milk production in recent years, the production of dairy-origin males emerges as an option of meat production. Finishing dairy-origin males in the feedlot is an alternative to make meat production from these animals more attractive for producers, reduce slaughter age, and improve the quality of meat. Nevertheless, high-concentrate feedlot diets may result in significant increase in the feed cost (Missio et al., 2009). Thus, the use of alternative feedstuff sources can enable the production of dairy-origin males in feedlot.
Currently, with the expansion of the biodiesel industry, crude glycerin has raised interest because of its availability and potential as an energetic ingredient in ruminant feed (Parsons et al., 2009; Mach et al., 2009; Van Cleef et al., 2014). The conversion of triglycerides into methyl esters in the transesterification process, approximately 100 g kg-1 of the weight of the oil going into the process, will end up with crude glycerin as a byproduct at the completion of the reaction (Plá, 2002). This availability may result in reduction of the cost of feed energy source when compared with traditional feed.
In this sense, crude glycerin is potentially a large alternative source of energy available to replace corn in high concentrate diet of the finishing dairy-origin males. Therefore, information of the effects of the use of crude glycerin in diet on performance, carcass characteristics, blood parameters, and nutrient digestibility of dairy-origin males is required. The objective of the present study was to assess diets containing levels of crude glycerin to crossbred dairy steer finished in feedlot.
Material and Methods
All the procedures and protocols used in the present experiment were approved by the Committee of Ethics in the Use of Animals at the Federal University of Tocantins (CEUA-UFT), case No 23101.003936/2012-00.
The study was carried out in Araguaína, TO, Brazil. Four experimental diets were assessed containing 0, 79.8, 159.8, or 240 g kg-1 crude glycerin in the dry matter (DM). We used twenty-four 15-month-old dairy crossbred (Holstein × Zebu) steers, with an initial average body weight of 337.3±39.8 kg. The experimental design was completely randomized with four treatments (levels of crude glycerin in the diets) and six replicates (animals). Previously to the feedlot, the animals were kept grazing Mombaça grass during four months, supplemented with concentrate with the same levels of crude glycerin (treatments) used in the feedlot diets. During this period, the amount of supplement given to the animals was equivalent to 750 g 100 kg-1 of the body weight.
The diets were formulated to maintain the ratio of 100 g kg-1 sorghum silage and meet the requirements for average daily gain of 1.28 kg day-1, according to NRC (1996) (Table 1). According to the manufacturer's data, the crude glycerin used (GENPA(r) 80 - Nutritional Energetic Glycerol for Animal Feeding) had 899.8 g kg-1 DM; 11.9 g ether extract kg-1 DM; 78.6 g mineral matter kg-1 DM; 803.5 g glycerol kg-1 DM; <0.001 g methanol kg-1 DM; and 74.7 g chloride kg-1 DM.
Table 1 Proportion of the ingredients and chemical composition of the experimental diets

DM - dry matter; NFC - non-fibrous carbohydrates; TDN - total digestible nutrients; NDIN - neutral detergent insoluble nitrogen; ADIN - acid detergent insoluble nitrogen.
1 Composition: Ca (max), 269 g kg-1; Ca (min), 220 g kg-1; P (min), 160 g kg-1; Mg, 10 g kg-1; S, 15 g kg-1; Zn, 5472 mg kg-1; Fe, 2610 mg kg-1; Cu, 2100 g kg-1; Mn, 992 mg kg-1; Co, 200 mg kg-1; I, 124 mg kg-1; Se, 45 mg kg-1; F (max), 1476 mg; Sol. phosphorus/AC Citric 2% (max), 90%.
2 10 g 100 g-1 monensin.
3 Estimated by the equations of the NRC (2001).
The animals were fed once a day at 09.00 h ad libitum, i.e., adjusted to provide 100 g kg-1 as orts of the offered feed (DM basis). To obtain the average feed intake, feed and orts were weighed daily. Previously, the animals received a vermifuge (1% moxidectin), injectable ADE vitamin complex, and vaccination against clostridioses. Animals were weighed at the start of the experiment and then housed in individual pens (12 m²), with a beaten earth floor, provided with covered individual troughs and one drinker for every two pens. Animal performance was measured for 84 days, which consisted of 14 days of adaptation to diet and stalls and 70 days of data collection divided into two sub periods of 21 days and one period of 28 days. At the beginning and end of each experimental sub period, the animals were weighed in the morning, before feed supply.
Apparent digestibility of nutrients was determined in three consecutive days of the experimental period (days 67-70). Feces collection (300 g) was performed manually, after spontaneous defecation and before the fecal bolus reached the floor of the pen, with animals monitored from 06.00 h until the collection of the sample from the last animal. From the three samples, a composite sample was made and stored in plastic bags and frozen at −20 °C. Samples were pre-dried in a forced-air oven at 55 ºC for 72 h and ground in a 2-mm sieve. Fecal dry matter excretion was estimated using indigestible neutral detergent fiber (iNDF) according to the methodology of Cochran et al. (1986). The iNDF contents of the samples of feces, feed (roughage and ingredients of the concentrate), and orts were obtained after in situ rumen incubation for 240 h. The fecal output was calculated as: kg of DM day-1 = intake of iNDF/iNDF in feces. The digestibility was calculated by the expression: apparent digestibility of nutrients = (nutrient intake - nutrient excreted/nutrient intake).
Samples of concentrate, silage, and orts were collected weekly. All samples were pre-dried in a forced-air oven at 55 ºC for 72 h and ground in a 1-mm sieve. Standard procedures of AOAC (2005) were adopted to obtain the following components from the feed, orts, and fecal samples: DM, ash (method 942.05), and crude protein (CP) (method 984.13). The organic matter (OM) was calculated as the difference between DM and ash contents. Neutral detergent fiber (NDF), acid detergent fiber (ADF), ether extract (EE), neutral detergent insoluble nitrogen, acid detergent insoluble nitrogen, and lignin were determined according to the methodology described and recommended by the manufacturer of the ANKON apparatus. For NDF analysis, samples were treated with thermo-stable alpha-amylase without sodium sulfite according to Van Soest et al. (1991). The non-fibrous carbohydrates were calculated by the equation (Hall, 2000): NFC = 100 - [(% CP - % CPfrom urea + % urea) + NDFap + %EE + % ash], in which NDFap = neutral detergent fiber corrected for ash and protein. The total digestible nutrient values were estimated for the different diets by the equation: TDN = DCP + (DEE × 2.25) + DNDF + DNFC (Sniffen et al., 1992), in which DCP = digestible crude protein; DEE = digestible ether extract; DNDF = digestible neutral detergent fiber; and DNFC = digestible non-fibrous carbohydrates. The TDN content was calculated by the equation (Sniffen et al., 1992): TDN = TDN intake/DM intake.
Two blood samples (one tube containing sodium fluoride and another with potassium EDTA) were collected from every animal at the start of the experiment and at the end of each experimental sub period, totaling four collections, by puncturing the jugular vein using vacuum tube (Vacutainer(r)). The blood samples were centrifuged at 2000 × g for 20 min to obtain the serum. Next, the serum was separated by aspiration, divided into aliquots, placed in plastic tubes with a lid (Eppendorf(r)), identified, and frozen in a freezer at -20 °C until biochemical analyses. The biochemical analysis parameters of serum (triglycerides, total cholesterol total, high-density lipoprotein (HDL), urea, albumin, creatinine, aminotransferase aspartate, alanine transaminase, and glucose) were carried out at 37 °C, using commercial reagents (Labtest Diagnóstica S.A.(r), Lagoa Santa, MG). The samples from the tubes containing sodium fluoride were used to determine the glucose concentration. An automatic biochemical analyzer, a Bioplus(r) model Bio-2000 IL-A spectrophotometer, was used to read the reactions.
After the experimental period, the animals were weighed (slaughter weight - SW) and transported to a commercial slaughterhouse with Federal Inspection Service. After slaughter, carcasses were washed, sawn in half, and weighed; in the cleaning process, the fat trimmings were collected from the half carcasses, so hot carcass weight (HCW), individually, and the weight of the fat trimmings were determined. Whole carcass weight (WCW) was obtained by adding the hot carcass weight with the respective weights of the fat trimmings. Afterwards, the carcasses were cooled in a cold room at 0 to 2 ºC for 24 h. After this period, they were weighed again, so the cold carcass weight (CCW) was determined and then used to determine the cold carcass yield (CCY) and cooling loss (CL), as follows: CCY = (CCW/SW), and CL = [(HCW - CCW)/HCW] × 100. The hot carcass yield and whole hot carcass yield were obtained by using the formulas HCY = (HCW/SW) and WHCY = (WHCW/SW), respectively.
A cut was made on the right half of the carcass between the 12th and 13th ribs to expose the longissimus dorsi muscle and the outline of the area of this muscle was drawn on paper. After using the ImageJ(r) program, the longissimus dorsi area (LDA) was measured and expressed in cm². The subcutaneous fat thickness (SFT) was determined as the mean of two readings around the longissimus dorsi muscle. Further on, the exposed surface of the longissimus dorsi muscle, after a 30-min exposure to air, underwent subjective evaluations of the intramuscular fat (marbling), color, and texture of the meat (Müller, 1987). The carcass physical composition was estimated following the methodology by Hankins and Howe (1946).
The left half of the carcass was separated into the three primary cuts: forequarter, pistol cut, and short ribs. The cuts were weighed to obtain their yield in relation to the cold carcass weight. The pistol cut was separated into ten commercial or secondary cuts, carried out following the slaughterhouse routine (rump cap, tail of rump, rump uk trim, topside, silverside, shank, tenderloin, striploin, knuckle, eye of round, cuberoll, and thin flank); then, each piece was weighed to assess the meat yield of the pistol cut and the weight of the individual commercial cuts. The edible portion included the secondary commercial cuts and meat trimmings were intended for human consumption.
Before the statistical analysis, the assumptions of normal distribution and homoscedasticity for all the variables were verified. The initial weight was utilized as a co-variable, and when not significant, it was withdrawn from the model; in all quantitative and normal variables, variance (F test) and regression analysis were performed.
The following mathematical model was used: γij = β0 + β1xi + β2xi 2 + αj + εijk, in which γij = dependent variables; β's = regression coefficients; xi = inclusion levels; αj = deviations from the regression; and εijk = residual random error. The most adequate model for each variable was selected based on the significance of the linear and quadratic coefficients, using the level of 0.05 significance. The following mathematical model was adopted to assess the blood indicators: γij = µ + τi + £j + τi*£j + εijk, in which γij = dependent variable; µ = general mean; τi = effect of factor i (collection); £j = effect of factor j (crude glycerin); (τi*£j) = interaction between factor i and factor j; and εijk = residual experimental error. For the subjective carcass variables (color, texture, conformation, and marbling) the Kruskal-Wallis' test was perfumed followed by Conover's procedure at 0.05 significance for comparison of means. The statistical analysis was conducted using SAS (Statistical Analysis System, version 9.1).
Results
Inclusion of crude glycerin in the diet did not affect dry matter (DM) intake and apparent digestibility of CP, NDF, NFC, EE, and the TDN values (Tables 2 and 3). In addition, inclusion of crude glycerin in diet did not change the average daily weight gain, total weight gain, final weight, and the feed conversion of the animals (Table 2).
Table 2 Dry matter and performance of diets with inclusion of crude glycerin

BW - body weight; DM - dry matter; FC - feed conversion; L - linear; Q - quadratic; SE - standard error.
Table 3 Coefficients of apparent digestibility (g g−1) of the diets with inclusion of crude glycerin

DM - dry matter; L - linear; Q - quadratic; SE - standard error.
The HCW, WHCW, CCW, hot carcass yield (HCY), WHCY, fat trimmings, chilling loss, and SFT (Table 4) were not altered with the inclusion of crude glycerin in the diet. However, CCY increased linearly with inclusion of crude glycerin.
Table 4 Quantitative carcass characteristics of dairy crossbred steers fed diets containing crude glycerin

HCY - hot carcass yield; DM - dry matter; BW - body weight; WHCY - whole hot carcass yield; CCY - cold carcass yield; LDA - longissimus dorsi area; CC - cold carcass; L - linear; Q - quadratic; SE - standard error.
1 Ŷ = 48.98 + 0.0004x (R² = 0.21).
2 Ŷ = 48.43 - 0.0054x (R² = 0.49).
Inclusion of crude glycerin had no effect on the weight of carcass primary cuts (pistol cut, forequarter, and short ribs) and the proportion of the forequarter and the short ribs in relation to the CCW (Table 4). However, the proportion of pistol cut (kg 100 kg-1 cold carcass) decreased linearly as the crude glycerin level increased. The physical composition of the carcasses was not altered with inclusion of crude glycerin in the diet (Table 6). Similarly, no significant effect of dietary treatments was observed on LDA (62.86 cm2), LDA 100 kg-1 (29.28 cm2 100 kg-1 cold carcass), and conformation. The characteristics that assessed the meat quality, color, texture, and marbling were not altered by including crude glycerin in the diet (Table 7). No effects were observed of the levels of crude glycerin on secondary cuts of the pistol cut when expressed in absolute weight (Table 4) as well for the weights of the trimmings of meat, fat, and bone of the pistol cut.
Tables 5 Carcass conformation, meat color, texture, and marbling score of dairy steers fed diets containing crude glycerin

DM - dry matter; SE - standard error.
KW - Kruskal-Wallis test.
1 Conformation: 1-3 points = inferior; 4-6 points = poor; 7-9 points = regular; 10-12 points = good; 13-15 points = very good; 16-18 = superior.
2 Color: 1 = dark; 2 = dark red; 3 = slightly dark red; 4 = red; 5 = bright red.
3 Texture: 1 = very coarse; 2 = coarse; 3 = slightly coarse; 4 = fine; 5 = very fine.
4 Marbling: 1 to 3 = traces; 4 to 6 = slight; 7 to 9 = small; 10 to 12 = medium; 13 to 15 = moderate; 16 to 18 = abundant.
Table 6 Commercial cuts (kg) of the pistol of dairy crossbred steers fed diets containing crude glycerin

DM - dry matter; L - linear; Q - quadratic; SE - standard error.
Table 7 Blood indicators of dairy crossbred steers fed diets containing crude glycerin

DM - dry matter; CG - crude glycerin; S - sampling (1st, 22nd, 45th, and 64th days); SE - standard error; HDL - high-density cholesterol; ALT - aminotransferase aspartate; AST - aminotransferase alanine.
Including crude glycerin in diet did not affect blood concentrations of serum glucose, triglycerides, total cholesterol, HDL, and creatinine. However, variations were observed across days of sampling in feedlot on these parameters of serum. The concentrations of serum glucose and total cholesterol concentrations increased linearly by 9.25 and 18.17 mg L-1, while the HDL concentration decreased by 0.029 mg L-1 across days of sampling in feedlot (1st, 22nd, 43rd, and 64th day). The concentrations of serum triglyceride and creatinine had a quadratic effect with greatest value observed at the second (22nd day) and third collections (45th day), respectively, estimated by regression equations. The concentrations of serum albumin, urea, aminotransferase alanine, and aminotransferase aspartate were not affected by the inclusion of crude glycerin or time of collection.
Discussion
Lack of effect of crude glycerin inclusion in the diet of cattle on DM intake is consistent with prior literature (Mach et al., 2009; Leão et al., 2012; Bortoñ et al., 2013). Dry matter intake is determinant for nutrient ingestion; thus the intakes of CP, NDF, NFC, EE, and TDN are directly linked to the behavior observed for DM intake. The purity of the glycerin is reported as a determinant factor to prevent possible adverse effects of crude glycerin, such as reduction in feed intake (Chung et al., 2007). The different protocols used in the biodiesel refineries result in a large content of substances such as salts, methanol, and fatty acids used in the transesterification process that may have a negative effect on dry matter intake (Schröder and Südekum, 1999; Elam et al., 2008). However, the crude glycerin used had a high proportion of glycerol (899.8 g kg-1 DM) and low quantity of contaminants, which justified the animal performance observed.
The results obtained in the present study for diet digestibility are in agreement with previous studies that did not report effect from including crude glycerin on apparent nutrient digestibility (Avila-Stagno et al., 2012; Kass et al., 2012; Boyd et al. 2013). However, results contrary to this study have been reported. Wang et al. (2009) found increased digestibility of DM, NDF, and CP in diets containing glycerin (990 g kg-1 glycerol) in Simmental steers. Benedeti et al. (2016), observed quadratic effect on digestibility of DM, NDF, and TDN with the inclusion (0, 50, 100, and 150 g kg-1 DM basis) of crude glycerin (828 g kg-1 DM glycerol) in the diet of finishing beef cattle. Including 0, 50, and 100 g kg-1 crude glycerin did not affect the apparent digestibility of DM in diets for dairy cows based on cotton husk or corn silage, but the digestibility of the neutral detergent fiber decreased linearly (Shin et al., 2012). These results suggest that including crude glycerin in the diet may depress the ruminal digestibility of the fiber through negative effect on the growth and activity of cellulolytic bacteria (Roger et al., 1992; Abughazaleh et al., 2008; Abo El-Nor et al., 2010). This result was not observed in the present study, due probably to the low fiber concentrations in high-concentrate diets as well as the chemical composition and amount of crude glycerin used.
The animal performance results of the present study were possibly due to the maintenance of DM intake. Thus, the lack of effect observed on DM intake, performance, and feed conversion suggests that diets containing up to 240 g kg-1 crude glycerin may promote the same efficiency of diet utilization than corn diet. Mach et al. (2009) and Bortoñ et al. (2013) reported the same observation when including up to 120 g kg-1 crude glycerin in the diet of finishing steers and Ramos and Kerley (2012) when including up to 200 g kg-1 crude glycerin in diets with high concentrate for beef calves. Similarly, Leão et al. (2012) did not observe any effect on daily gains and feed conversion of steers fed diets containing up to 240 g kg-1 crude glycerin.
The lack of effect of crude glycerin inclusion in the diet of cattle on HCW, WHCW, CCW, and HCY are consistent with prior literature. This result is justified given that there was no effect of crude glycerin inclusion level on DM intake and performance. Mach et al. (2009), who included up to 120 g kg-1 crude glycerin in the finishing diet of Holstein bulls, did not observe effect on HCW. The same was reported by Bortoñ et al. (2013), who supplied finishing bulls with diets with 93 g kg-1 crude glycerin over a long period (266 days) and found no change in carcass characteristics.
The chilling loss was similar among crude glycerin inclusion levels in the diet. As no variation was observed in SFT, the lack of effect on these variables is justified. Nevertheless, the carcasses presented good SFT within the recommended limit of 3 to 6 mm and required by the packing plants (Costa et. al., 2002). Thus, considering the SFT and percentage of fat of the carcasses (25 kg 100 kg-1 of cold carcass) (Table 5), it can be inferred that diets with high concentrate containing up to 240 g kg-1 crude glycerin to dairy crossbred steers may promote the same finishing for slaughter as the corn diet. Similar results were obtained by Mach et al. (2009) for the SFT values (3.65, 3.86, 4.10, and 3.73 mm) on the carcasses of Friesian steers fed diets containing 0, 40, 80, and 120 g kg-1 crude glycerin, respectively. The results of this study for physical composition of the carcass were similar to those observed in previous experiments that assessed the inclusion of crude glycerin in diet of cattle and did not observe difference in tissue deposition in the carcass (Leão, 2011; Bartoñ et al., 2013; Van Cleef et al., 2014).
The lack of effect of crude glycerin inclusion levels in diet on LDA is probably related to similar performance and slaughter weight of the animals. This result indicates that high-concentrate diets of dairy crossbred steers containing up to 240 g kg-1 crude glycerin may support efficiency of muscle development of the carcasses similar to corn diet. In addition, no significant difference was observed for the degree of muscle development of the carcasses measured by subjective evaluation of the conformation, which obtained a mean of 9.7 points (regular classification) on a scale from one to 15 (Müller, 1987). Carcasses with higher conformation are associated with greater muscle development and greater meat yield at deboning (Santos et al., 2008). The low conformation score is attributed to the genetic group of the animals used in this study, dairy crossbred steers. In agreement with our results, no differences were reported in the LDA (39.5 cm²) and carcass conformation of steers fed diets containing up to 120 g kg-1 crude glycerin in the study conducted by Mach et al. (2009). However, Parsons et al. (2009) fed crossbred heifers diets containing 0, 20, 40, 80, 120, and 160 g kg-1 crude glycerin and observed linear reduction in LDA, a factor related to the decrease in food intake when greater quantities of crude glycerin were added.
Regarding the linear reduction in pistol cut (kg 100 kg-1 cold carcass), as no significant differences were observed in commercial cuts (Table 5), there is no physiological reason for reducing the weight of this primary cut with crude glycerin inclusion levels in diet. Other carcass primary cuts were not changed, as observed by Van Cleef et al. (2014) in the carcass of Nellore bulls fed diets containing up to 300 g kg-1 of crude glycerin.
The meat color, texture, and degree of marbling were not affected by the inclusion levels of crude glycerin in the diet. The color score average was 3.45 points, classified as slightly dark red and red, a value lower than that reported by Vaz and Restle (2000) of 4.37 points for castrated animals. This variable is important because consumers generally appreciate meats with a lighter red color and tend to reject the darker meats that are associated with older animals (Müller, 1987). The meat texture was classified as slightly coarse. Degree of marbling was classified between slight and small (Müller, 1987). Parsons et al. (2009) observed linear reduction in the marbling score as crude glycerin was increased (0, 20, 40, 80, 120, and 160 g kg-1 DM) in the diet of crossbred heifers. However, these authors expected a greater degree of marbling due to the probable increase in propionate production, the main precursor of glucose in the liver and primary precursor of intramuscular fat that, according to Bartoñ et al. (2013), allows a slightly greater value of intramuscular fat in ruminants fed diets containing 93 g kg-1 crude glycerin.
The lack of effect of crude glycerin inclusion levels in diet on the concentration of serum glucose is likely due to the supply methods used and adaptation of the animals to crude glycerin. In this study, crude glycerin was added as part of the concentrated, less efficient method than crude glycerin mixed in feed at the time of supply to increase serum glucose concentrations (Linke et al., 2005; Wang et al., 2009). Likewise, previous studies have demonstrated no significant effects of crude glycerin on concentration of serum glucose when crude glycerin was added to the concentrate prior to supply (Mach et al., 2009; Bartoñ et al., 2013). In addition, during the growing, the animals of this study were kept in grazing supplemented with concentrate equivalent to 750 g 100 kg-1 of the body weight with the same levels of inclusion of crude glycerin used during the feedlot, characterizing a long time to adapt to crude glycerin. This could also explain the stable concentration of serum glucose in diets with crude glycerin inclusion.
The concentration of serum glucose increased across days of sampling in feedlot. This may be caused by the high activity of hepatic enzymes responsible for the release of glucose and greater concentrations of serum growth hormone to support the rapid growth to which these animals were subjected (Shaffer et al., 1981; Mondal and Prakash, 2004). According to Gunn et al. (2011), finishing cattle are insensitive to insulin, which may explain the higher values of concentrations of serum glucose at the end of the experiment. The results of this study agree with Hersom et al. (2004), in which the concentration of serum glucose of the steers increased during feedlot finishing.
In all treatments, concentrations of cholesterol increased across days of sampling in feedlot but the values remained within the normal interval for cattle (115-139 mg dL-1) (Pogliani and Birgel Junior, 2007). The increase in concentration of serum total cholesterol may be related to the fact that the animals were fed a high concentrate diet that could potentiate increase energy availability for lipogenesis (Kozloski, 2009). The same considerations can be applied to the concentration of serum triglyceride, which was not influenced by including crude glycerin in the diet. It increased across days of sampling in feedlot, but within the normal variation indicated by Pogliani and Birgel Junior (2007) of 31.32±15.82 mg dL-1, demonstrating that including crude glycerin does not damage the energetic metabolism of the animals. Concentration of serum HDL oscillated within the variation reported by Osorio et al. (2012) of 81.22±30.06 mg L-1 for young males.
The albumin presented normal concentration of 3.8 g dL-1 (Fagliari et al., 1998). Similarly, the activity of the enzymes aminotranferase aspartate and aminotransferase alanine also presented normal concentration, without any effect of including crude glycerin or the collection period. These results, together with albumin values, suggest that there were no lesions or damage to the liver or the protein metabolism during the period assessed.
The concentration of serum creatinine varied across sampling days and the values oscillated below the normal range, 1.57±0.29 mg dL-1, for Holstein males (Fagliari et al., 1998). The concentration in serum does not depend on the nutrition (Klinkon and Ježek, 2012); thus, it can be inferred that crude glycerin did not damage the kidney function in the assessed period and that there was no toxic effect of methanol (0.01 g kg-1 crude glycerin composition) with the inclusion of up to 240 g kg-1. The finding that the kidney functioning was not damaged was further sustained by the concentration of serum urea levels within the reference range reported by Fagliari et al. (1998).