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Department of Animal Science, University of Minnesota, St. Paul 55108
1 Corresponding author: renea001{at}umn.edu
| ABSTRACT |
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Key Words: disease detection dry matter intake water intake
| INTRODUCTION |
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Concentrate intake (Mol et al., 2001) and feed intake (Oetzel, 2004) have been identified as potential monitors helpful in early disease detection. In his article on diagnosis and treatment of fresh cow disorders, Guterbock (2004) states that screening for disease must be based on traits that can be measured in real time. Automated systems for monitoring feeding behavior exist (Growsafe, Growsafe Systems Ltd., Airdrie, Alberta, Canada; DeLaval feeding stations, DeLaval, Tumba, Sweden). Collection of feed intakes on commercial dairy farms currently, however, relies heavily on manual labor, making daily recording laborious and prone to human error. As a result, this valuable information on health and nutrition management of the dairy herd may often be unreliable or insufficiently available. An often-reported strong correlation between water and DM intakes (Holter and Urban, 1992; Dado and Allen, 1994; Beede, 2005) suggests the possibility of using water intake as an indirect way of monitoring DMI.
Most research on water consumption and utilization in dairy cattle focuses on its metabolism (Woodford et al., 1984; Murphy, 1992; Silanikove et al., 1997) and prediction of water intake (Holter and Urban, 1992; Meyer et al., 2004). Some studies have identified the potentially negative association of stray voltage and mineral composition on water intake (Beede, 2005). Little information is available, however, on the relationship between the health status and water consumption of dairy cattle. Meyer et al. (2004) report decreased intake due to estrus and health problems, whereas Cottee et al. (2004) observed an increase in intake of sodium bicarbonate supplemented water during experimentally induced acidosis.
Two recently published studies have emphasized the potential of monitoring DM or water intake to detect disease in swine and beef cattle. Quimby et al. (2001) used feeding behavior records to monitor health of feedlot steers. Madsen and Kristensen (2005) reported use of water intake of growing pigs for early disease detection. Both studies demonstrated a successful application of statistical process control (SPC) cumulative sum (CUSUM) charts in early detection of change in health status.
Statistical process control is a quality improvement tool that has been extensively used in nonagricultural industries in the past century. The statistical methods applied to control charts aim to distinguish (with a certain level of confidence) between common-cause variation resulting from usual day-to-day fluctuations in process output and variation resulting from special cause such as changes in the materials, people, machine, environment, or method in which the process was performed. This distinction is meant to aid in identifying when a true change has occurred and action is needed to ensure desired process performance. Type I and type II error rate in SPC expressed as average run length (ARL) and average time to signal are determined by the choice and design of the SPC chart. Shewhart charts are geared toward early detection of larger shifts (
3 SD), whereas CUSUM charts can be designed to detect small, sustained drifts. When a change in health or reproductive status of a cow is associated with a small sustained or large change in DM or water intake, applying a combined CUSUM-Shewhart chart to monitor DMI might help in early disease or estrus diagnosis.
The present study investigates the relationship between DMI, water intake, and change in cow status. The aims of the study were to 1) evaluate the impact of disease or estrus on DM and water intake, 2) determine whether water intake can serve as a monitor of changes in DMI, and 3) explore the potential of a DMI and water intake monitoring scheme using CUSUM and Shewhart charts to detect change in cow health or reproductive status.
| MATERIALS AND METHODS |
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All hoof treatments and drugs administered to the cows during the study period were recorded by date and cow ID in a barn logbook. It was assumed that animals in need of treatment and the type of treatment necessary were determined correctly by the herd manager or veterinarian administering the treatment. Cow hoof and drug treatments were later assigned to one of the following health event categories: mastitis (n = 57), fever (n = 4), hoof treatment (n = 44), and other (n = 11). Category "other" included ketosis, milk fever, and antibiotic treatments. Subsequent health events from the same category and for the same animal had to be separated by at least 7 d to be considered a separate event. However, if an animal experienced an event from a different category, it was considered a separate event even if less than 7 d separated the 2 treatments. Cows were subject to synchronized breeding and all breeding dates were recorded by date and cow ID. Calving date and lactation number were also recorded for each cow. Six different event types were identified: 4 health event types (hoof, fever, mastitis, and other) and 2 reproductive events (calving and estrus). A 7-d event period was assigned to the 3 d before, the day of, and 3 d after each event.
Daily relative humidity (RH) and ambient temperature data for the study period were obtained from the St. Paul Downtown Airport weather station.
Analysis
DMI
The Proc MIXED procedure of SAS (SAS Inst. Inc., Cary, NC) was used to analyze the associated effect of disease or estrus on the DMI of individual cows. Individual cow DMI was entered as the dependent variable, and parity and 6 event categories were entered as 7 fixed factors with 2 levels each. The 2 levels of the 6 event factors distinguished between days within the event period and days outside of the event period. The 2 levels of parity were 1 and >1. Daily RH and ambient temperature were also entered into the model. Intercept and cow DIM were entered as random factors with cow specified as subject. Days in milk were also entered as a separate categorical variable with 1 level per each DIM and used in the repeated statement. The appropriate covariance structure was selected by comparing the covariance parameter estimates and model fit statistics between alternative models (Singer, 1998; Littell et al., 2000). Two-way interactions between DIM, parity, and 6 event factors were also included in the full model.
Water Intake
Analysis was performed similarly to the analysis of DMI data except that measurements represented an average per-cow intake of the 2 cows in the water cup pair rather than individual cow data. The Proc MIXED procedure of SAS was used (SAS Inst. Inc.). Water intake was entered as the dependent variable, and parity and 6 event categories were entered as 7 fixed factors with 2 levels each. The 2 levels of the 6 event factors distinguished between days within the event period for either cow in the water cup pair and days outside the event period for both cows. Parity in the water intake model represented the average lactation of the 2 cows sharing the same water cup; the 2 levels of parity were 1 and >1. Daily RH and ambient temperature were also entered into the model. Average DIM were calculated for each water cup pair and entered as random factors along with the intercept. Days in milk were also entered as a separate categorical variable with 1 level per each DIM and used in the REPEATED statement. The appropriate covariance structure was selected by comparing the covariance parameter estimates and model fit statistic between alternative models (Singer, 1998; Littell et al., 2000). Two-way interactions between DIM, parity, and 6 event factors were also included in the full model.
Relationship Between Water Intake and DMI.
The Proc GLM procedure of SAS (SAS Inst. Inc.) was used to investigate the relationship between DMI and water intake. Two different models were analyzed. In model 1, average per-cow DMI, average per-cow water intake, and average DIM between the 2 cows in the same water cup pair, were calculated for each day of study for each water cup pair. In model 2, average per-cow DMI, average per-cow water intake, and average DIM for the whole study group (70 cows) were calculated for each day of study. The full models included DMI as the dependent variable, and water intake, RH, ambient temperature, DIM, and biologically meaningful 2-way interactions as the explanatory variables. Polynomial models were also investigated. In model 1, a class variable of average parity with 2 levels (1 and >1) was also entered into the model. The choice of variables in the final models was based on assessment of their impact on the model fit statistics.
Use of SPC Charts to Assess DMI Changes
To account for the autocorrelation and the drift in DMI as lactation progresses the following model including a first-order autoregressive factor and DIM was fit (Montgomery, 2005):
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where DMIt is cow DMI at day t, DMIt-1 is the DMI at day t – 1, DIMt is the cows day of lactation at day t, and
t is the residual term. Data from all the cows was used for the model estimation. To account for the effect of lactation stage and number on the slope of the DMI curve and to simplify the models, the first 21 DIM and the remaining 129 DIM, and cows and heifers were analyzed independently resulting in estimation of 4 separate models. Only significant terms (P < 0.05) were kept in the model. The estimated models were then applied to individual cow data and residuals were plotted on separate CUSUM charts for each individual animal. All charts were plotted retrospectively and were not used to identify animals in need of treatment during the study period.
Designing a CUSUM chart requires choosing the size of shift in mean or standard deviation of interest and the rate of false alarms referred to in SPC as ARL. Once these two parameters are determined, the upper and lower control limits can be obtained using software provided by Hawkins and Olwell (1998; http://www.stat.umn.edu/cusum/software.htm). Any point plotted outside the upper or lower control limit on any of the charts is considered a sign of significant change in DMI. At the onset of lactation, no historic data were available to estimate the mean and variation in DMI necessary to establish the upper and lower limits for the charts. Therefore, a self-starting CUSUM approach was adopted (Hawkins and Olwell, 1998). The self-starting CUSUM starts at mean 0 and sigma 1 and updates the mean and sigma estimates with each data point. Upward (S+) and downward (S–) CUSUM for the self-starting chart for location are calculated as presented below (Hawkins and Olwell, 1998):

where 2 x k is the shift in mean that the chart is optimized to detect, and Un is the inverse normal of the Students T distribution with parameters Fn–2(anTn):

and

and Wn are the running mean and standard deviation, respectively, of the residuals.
The upward (V+) and downward (V–) CUSUM for the self-starting chart for scale are calculated as follows (Hawkins and Olwell, 1998):

where r is the reference value determined by the size of shift in variation that the CUSUM chart for scale is optimized to detect. The reference value was obtained from software provided by Hawkins and Olwell (1998; http://www.stat.umn.edu/cusum/software.htm).
The Shewhart chart is obtained by plotting the Un values on a chart with a mean 0 and 3 and –3 upper and lower control limits. To prevent the presence of extreme values from distorting the mean and sigma estimates, winsorization was applied to all data (Hawkins and Olwell, 1998). This procedure reduces potential outliers to a value determined by the winsorizing constant. To enhance the ability of the CUSUM to detect changes in DMI at the onset of lactation, a fast initial response (FIR) approach was used (Montgomery, 2005). With this approach, the CUSUM at the onset of charting was set halfway between zero and the lower limit, sensitizing the chart to decreases in DMI at onset of lactation. To account for small, sustained changes in mean and variation in DMI as well as large changes to the mean, a CUSUM for location and scale and a Shewhart chart were plotted for each cow. The CUSUM were set to detect 1 sigma shift in mean and 1 sigma increase and 0.5 sigma decrease in variation, with an ARL of 500. When 70 cows are monitored every day, an ARL of 500 corresponds to an average of 0.98 false signals per week per chart type. The Shewhart chart has an ARL of 370, which corresponds to 1.32 false signals per week. Therefore, the scheme developed in this study would yield an average of 3.28 false signals per week out of the 1,470 points plotted and analyzed by the SPC charts. For detailed description of calculation of CUSUM, limits, ARL, winsorization, and the FIR approach, please refer to Hawkins and Olwell (1998).
| RESULTS AND DISCUSSION |
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Lack of individual water intake measurement and no information on the water intake while cows were away from their stalls constitute two important confounding factors in our attempt to estimate the effect of disease or estrus on cows water intake. Values reported in Table 1
might underestimate the actual magnitude of the effect of health or reproductive events on water intake. It is most likely that change in water intake observed for the cow pair can be contributed mainly to the cow experiencing a specific reproductive or health event. Because individual water intakes were not measured, the values reported in Table 1
indicate an average change in water intake within a cow pair when at least 1 of the animals within the pair experienced a reproductive or health event. The reported per-cow change in daily water intake for the cow pair is therefore likely less than that actually manifested by the cow experiencing the status change.
More research is necessary to fully investigate the relationship between water intake and health problems. Results reported in our study, however, suggest that such a relationship exists and may provide a basis for cow health monitoring. Automated recording of water intake has been used to identify emerging diseases in swine production (Madsen and Kristensen, 2005) and resulted in detection of an outbreak of diarrhea 1 d before clinical signs were observed. Other researchers have found that monitoring feeding behavior in beef cattle can accelerate identification of morbid animals by 4 d (Quimby et al., 2001). Significant change in water intake associated with health problems observed for cow pairs in our study suggests that when individual water intakes are collected, similar sensitivity with greater specificity might be expected. Even if, however, water intake monitoring is limited to pairs of cows, the knowledge of which pair of cows might be experiencing health problems provides the herd manager with more information than not knowing about the change in drinking behavior at all.
Association of DIM and Parity with Intake
As expected, both water intake and DMI increased with DIM and were smaller for primiparous than for multiparous cows (Table 1
). The negative sign of the estimate for the DIM x parity (when parity >1), however, indicates that heifers water intake changed at a greater rate. Although little is known about the differences in water intake between multiparous and primiparous cows, previous research suggests that older cows DMI curve has a greater slope than heifers (Kertz et al., 1991). Roseler et al. (1997) also report a much flatter intake curve for primiparous animals. In our study, however, the DIM x parity interaction in the DMI model was not significant and the effect of the interaction on water intake was opposite that observed for DMI by previous researchers. One explanation for the greater rate of increase in water intake in primiparous cows is the challenge they face at the onset of lactation when learning to drink from water cups. Before calving, primiparous cows in this study were housed in a free-stall facility equipped with water troughs and were not exposed to individual water cups. During this study multiple observations were made when fresh primiparous cows had trouble operating the water cup in the initial days after calving, possibly resulting in very low water intake. Once the animals learned to use the drinking cups, their intakes increased dramatically, most likely contributing to the greater rate of increase in water intake observed for primiparous cows in this study. This observation underlines the importance of adapting primiparous cows to water cups prepartum to avoid the additional unnecessary stress arising from insufficient water supply postpartum.
Associated Effect of Ambient Temperature and Humidity on Intake
Beatty et al. (2006) report an increase in water intake and decrease in feed intake during periods of increased humidity and ambient temperature in cattle. In our study, however, as RH increased, a decrease in both water intake and DMI was observed. Although significant, the effect of RH was numerically small: a 10% increase in RH would decrease water intake and DMI by 0.839 L and 0.125 kg, respectively. Ambient temperature during the course of our study did not exceed 28.4°C (µ = 6.0, SD = 11.08); RH exceeded 80% on 6 d only (µ = 50.1%, SD = 16.11) keeping the temperature-humidity index below 76.6 throughout the study. West et al. (2003) reported no or marginal effects of RH when the temperature-humidity index remained below 77. In ambient temperatures not exceeding 24°C, Meyer et al. (2004) observed a negative correlation between water intake and RH (r = -0.361), which is in agreement with the results of this study.
The fact that ambient temperature was not a significant factor in the DMI or water intake models stands in contrast to previous research (Stockdale and King, 1983; West et al., 2003; Meyer et al., 2004). Meyer et al. (2004) report that for every 1°C increase in ambient temperature, water intake increases by 1.52 kg/d even when ambient temperatures do not exceed 24°C. West et al. (2003) reported a decrease of 0.8-kg of DMI for every 1°C increase. A possible explanation for the lack of observed effect of ambient temperature and the apparent decrease in the measured water intake with increase in RH is change in animal behavior. Because of the exceptionally good ventilation in the St. Paul dairy barn the cows may have only experienced the effect of increased RH and ambient temperature when outside or in the holding pen before milking. Water intake during these periods was not monitored. If cows proportionately increased their intake of water while on pasture or in the holding pen, their measured water intake (from the water cup at stall) may have underestimated actual intake, leading to the observed results.
Relationship Between Water Intake and DMI
The relationship between water intake and DMI was analyzed using 2 models. In model 1, the objective was to investigate whether in a cow pair, DMI change could be approximated by water intake when other covariates (ambient temperature, RH, parity, DIM) were accounted for. Model 2 tested the same hypothesis for a group of 70 animals rather than a cow pair. When investigating the relationship between water intake and DMI, polynomial models including both DIM and DIM2 performed best (Table 2
). A polynomial model of DMI with terms DIM2 and DIM3 has been previously suggested (Kertz et al., 1991). Because of a lack of significant impact on model fit statistics, no interactions were included in either of the final models.
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Results of previous research on the relationship between individual DMI and water intake are contradictory. In field trials, Beede (2005) observed that individual cow water intakes deviated by 15 to 20% from the predictions made using those equations cited by the NRC (2001) that include DMI as one of the predicting variables. Meyer et al. (2004) report a correlation coefficient between DMI and water intake of 0.107. Holter and Urban (1992), however, achieved a coefficient of determination of 0.69 (corresponding to r = 0.83), whereas Dado and Allen (1994) identified an even stronger relationship between DMI and water intake of individual cows with a correlation coefficient of 0.96. Although total individual DMI were collected during our study, because of the limitations of the water cup installation, we were only able to collect partial water intakes on pairs of cows rather than individual animals. In our study values measured by the water meters accounted for an average of 117% of expected water intake by the model of Holter and Urban (1992) with a range of 52.5 to 184.0% (SD 25.8%). This large variability most likely contributed to the observed small coefficient of determination of the DMI model for pairs of cows. Obtaining total individual water and DM intakes for the whole lactation would give a better view of the true relationship between the 2 variables. It seems, however, that the demonstrated response in water intake to changes in cow status (Table 1
) and changes in DMI (Table 2
) might make water intake a good potential candidate for monitoring health and feeding management on the dairy farm, even though further investigation is still needed.
Using Control Charts to Determine Changes in DMI Attributable to Disease or Estrus
The 4 models developed to obtain residuals for the CUSUM charts are presented in Table 3
. Coefficients for DMIt-1 indicate that autocorrelation of DMI is slightly weaker during the first 3 wk of lactation and among primiparous animals. These findings were also reflected in the difference in the Pearson correlation coefficients between parities (0.85 and 0.87 for primiparous and multiparous cows, respectively) and stages of lactation (0.83 and 0.84 for first 21 DIM and the remaining 129 DIM, respectively). The effect of DIM is more pronounced at the onset of lactation as opposed to mid lactation (Figure 1
). This is reflected in the coefficient estimates for DIM >21 being closer to zero (Table 3
).
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Examples of the proposed charting scheme are presented in Figures 2 and 3![]()
. In both figures, panel A represents the actual DMI of the animal. Panel B in both figures represents plotted CUSUM values calculated based on the DMI data presented in panel A. Panel C in Figure 3
shows a Shewhart chart. Any point outside the control limit on any of the panels is considered a sign of a significant shift in DMI. As observed in panel A of Figure 2
, calculating CUSUM of the residuals from the DMI model rather than the raw DMI data eliminated the drift and prevented positive CUSUM from rising above the upper control limit as lactation progressed and DMI naturally increased. Panel B in Figure 2
is a CUSUM of location chart that monitors small, sustained changes in mean. A decrease in DMI is observed at 2 DIM and corresponds to the lower CUSUM crossing the lower limit. Mastitis treatment is administered to the cow 2 d later. Although the shift was not sustained, the FIR approach forced the CUSUM to signal a shift. This demonstrates how moving the initial CUSUM from zero to halfway between zero and the lower limit helped detect change in DMI associated with mastitis. Neither the scale CUSUM nor the Shewhart chart signaled any changes (data not presented).
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To further examine the validity of applying CUSUM charts to monitor changes, a statistical evaluation of the sensitivity and specificity of this detection method should be performed. Madsen and Kristensen (2005) present a similar approach to monitoring the health of young pigs through their drinking behavior. Although no statistical evaluation is performed, a series of examples demonstrating the effectiveness of the CUSUM chart in detecting observed or induced changes in animal health is presented. Quimby et al. (2001) were able to determine the sensitivity (91%) of using CUSUM charts to identify morbid steers by monitoring their feeding behavior. De Vries and Conlin (2003) were able to evaluate the performance of a CUSUM chart to detect changes in estrus detection efficiency using a simulation model. Monitoring DMI using combined CUSUM-Shewhart charting scheme has the potential to improve disease and estrus detection. When individual cow water intake data are available, a similar scheme can be developed for detecting disease or estrus by monitoring water intake. Statistical analysis to determine the sensitivity and specificity of CUSUM monitoring to detect changes in cow status can be performed when a sufficient amount of observed individual DMI and water intake data or an appropriate simulation model is available. However, in the current study, the relatively small number of recorded health events limits the possibility of performing a valid statistical evaluation of the method.
| CONCLUSIONS |
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| ACKNOWLEDGEMENTS |
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Received for publication December 6, 2007. Accepted for publication May 16, 2008.
| REFERENCES |
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