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Article

Quarter-Level Milk Yield Recovery Following Clinical Mastitis: Associations with Milk Loss, Somatic Cell Count, Clinical Severity, and Pathogens

Biosystems Department, Division of Animal and Human Health Engineering, KU Leuven, Kleinhoefstraat 4, 2440 Geel, Belgium
*
Author to whom correspondence should be addressed.
Agriculture 2025, 15(17), 1805; https://doi.org/10.3390/agriculture15171805 (registering DOI)
Submission received: 21 July 2025 / Revised: 18 August 2025 / Accepted: 20 August 2025 / Published: 24 August 2025
(This article belongs to the Section Farm Animal Production)

Abstract

Understanding milk yield recovery following clinical mastitis (CM) and its influencing factors is essential for controlling the effect of mastitis on milk yield. This study investigated the associations between quarter-level milk yield recovery and milk loss, somatic cell count (SCC), clinical severity, and causative pathogens. Recovery was measured as percentage recovery for inflamed and uninflamed quarters separately. We analyzed 117 CM cases, identifying 117 quarter-level milk yield perturbations (qMYPs) in inflamed quarters and 299 in uninflamed quarters. The recovery of qMYPs was compared across quickly, slowly, and non-recovered groups for inflamed and uninflamed quarters, based on the average and slope of percentage recovery over time, using the Mann–Whitney test. Correlation and regression analyses were conducted to assess associations with milk loss, SCC, clinical severity, and pathogens. Inflamed quarters showed similar recovery to uninflamed quarters in recovered groups but significantly worse recovery in the non-recovered group (p < 0.05). In inflamed quarters, greater milk loss, higher SCC, more severe clinical signs, and major pathogens were associated with worse recovery (correlation < 0). In uninflamed quarters, these factors were linked to worse early recovery (correlation < 0), whileled to improved recovery over time (correlation > 0). Additionally, short-term and long-term recovery were influenced differently in inflamed and uninflamed quarters. These findings improve understanding of CM recovery and may support selective treatment, reduce disease impact, and enhance animal welfare in dairy production.

1. Introduction

Clinical mastitis (CM) is one of the most common and costly diseases in the dairy industry [1,2]. To minimize the impact of a CM case, it is crucial to strive for fast and comprehensive recovery, including quick healing of the mammary tissue, complete clearance of the causal pathogen, disappearance of clinical signs, and the fast return of milk production [3,4,5]. These different aspects of recovery not only reflect the udder health but are also a proxy for the cow’s general well-being and overall productivity. They display the economic and welfare challenges associated with CM and, upon better understanding, may help the development of selective treatment, prevention, and control practices, ultimately contributing to reduced antibiotic use [6,7,8,9].
The clearance of pathogens and the disappearance of clinical signs of CM cases are generally defined as “pathogen cure” and “clinical cure”, respectively [3,10]. Previous studies have found associations between CM clinical severity upon detection and the pathogen cure rate, with severe mastitis being associated with lower pathogen cure rates [10,11]. Yet, no significant differences in clinical cure rates were found between mild, moderate, and severe CM cases [12]. Although useful, evaluating the pathogen or clinical cure requires repeated milk sample taking or clinical scoring, both of which are laborious tasks.
High-frequency milk yield data of individual cows are now available for the majority of dairy farms, even at the udder quarter level for cows milked by an automatic milking system (AMS). These data allow us to study the impact of health and environmental challenges on milk yield dynamics and calculate associated milk losses [13,14,15]. Following this approach, several studies have already quantified the milk yield dynamics and losses linked with CM cases [16,17,18]. Moreover, if milk yield data are available at the udder quarter level, the milk yield dynamics of uninflamed and inflamed quarters can be studied separately, reflecting, respectively, the systemic effect of the inflammation (e.g., loss of appetite, disposition of energy for immune response, and inflammation) and an accumulation of the local (e.g., tissue damage by pathogen toxins and immune response) and systemic effects [16]. Exploring these milk yield dynamics can help to improve our understanding of the underlying mechanisms and potential future impacts of CM. Additionally, this approach also opens the door for studying milk yield recovery after the detection of CM, as the milk yield gradually returns to the expected “healthy production”, as well as factors affecting this process [19].
Previous studies have shown that milk loss, somatic cell count (SCC), clinical severity, and causative pathogens can influence mastitis outcomes [3,10,17,20]. In this study, we hypothesized that these factors offer valuable insight into quarter-level milk yield recovery in CM cases. The objectives were to (1) determine the differences in milk yield recovery between inflamed and uninflamed quarters of cows with naturally occurring CM, (2) assess the variances in the milk yield recovery dynamics for these inflamed and uninflamed quarters, and (3) explore the associations between quarter-level milk yield recovery and milk loss, SCC, clinical severity, and causative pathogens. These insights could aid in understanding recovery for different scenarios upon CM detection, facilitating individualized and optimized treatment protocols, and thereby maximizing timely recovery from CM with minimal antibiotic use and economic losses.

2. Materials and Methods

2.1. Data Collection, Selection, and Preprocessing

Between January 2019 and August 2021, all naturally occurring CM cases were monitored at 3 farms with the automatic milking system (AMS) of DeLaval (VMS Classic, Tumba, Sweden) in Belgium and the Netherlands. All farms had more than 3 years of experience with the AMS before the start of the experiment. The CM cases were detected by the herdsmen using measures from the AMS and associated sensors, including quarter-level electrical conductivity (interquarter ration > 115%) to detect mastitis-related changes in milk ion content [21,22], quarter-level milk blood concentration (>600 ppm) as an indicator of inflammation and tissue damage [23], mastitis detection index (>1.4) as recommended by the manufacturer and validated in field trials [24], and cow-level lactate dehydrogenase-based mastitis attention (>70%) as a robust marker of udder tissue damage [22]. Trained herdsmen confirmed CM in suspected cows based on clinical signs and identified the inflamed quarter. For each case, cow identity (ID), detection date, inflamed quarter, and treatment were recorded.
Four types of data were collected for this research for each CM case. First, high-frequency quarter-level milk yield data (qMY) were automatically collected by the AMS. The daily quarter-level milk yield (dqMY) was calculated by summing qMY per day. To account for variable milking intervals, every first milking after midnight was proportionally split between the previous and current day based on its milking interval. The second data source comprised weekly composite SCC results collected by the AMS for each lactating cow in the three herds [25], which were performed by an accredited lab (MCC—Milk Control Centre Flanders, Lier, Belgium) following official guidelines [26,27]. Although SCC is an important udder health indicator [28], it has limitations because CM can occur at low SCC values [29], the SCC response may lag behind clinical signs [30], and it can be influenced by factors unrelated to mastitis, such as stress or other diseases [31], thus reducing its efficiency as a diagnostic tool. After CM detection, sampling frequency increased to every milking for the following 21 days. Third, clinical signs were recorded by herdsmen using a predefined protocol on detection day (day 0), day 3, and day 7 after CM detection. The clinical signs were marked as “present” or “absent” at the following three levels: the milk level (flakes, clots/aggregates, blood in milk, or watery milk), the quarter level (redness, hard, swollen, or painful udder), and the systemic level (fever, sunken eyes, or loss of appetite). The fourth data source included bacteriological culture results from milk samples collected from the inflamed quarter on day 0, and analyzed for pathogens by the laboratory (MCC—Milk Control Centre Flanders, Lier, Belgium) following the National Mastitis Council guidelines [32,33]. Standard culturing of milk samples followed National Mastitis Council guidelines [34], with 0.01 mL plated on aesculin blood agar, incubated at 37 °C, and pathogens identified after 24–48 h based on morphology, Gram staining, catalase, aesculin reaction, and DNase tests. Prior to culture, the samples were stored at −21 °C, since pre-culture freezing has been shown to improve the sensitivity of bacteriological isolation [35]. The herdsmen were trained by M-team UGent (Mastitis and Milk Quality Team at Ghent University) veterinarians to identify CM cases using AMS and sensor data, score the clinical signs, and collect milk samples for culturing.
Clinical mastitis cases were included in our analysis if they had (1) at least one SCC measurement from 7 days before to 14 days after detection; (2) valid, uncontaminated pathogen culture results on day 0 (showing no more than two species in the culture results); (3) clinical sign records between day 0 and 7; and (4) only one inflamed quarter per case. Recurrent cases in the same quarter and lactation were included if clinical signs had fully resolved for four weeks.

2.2. Detection of Quarter-Level Milk Yield Perturbations Caused by CM

Altered milk yield dynamics caused by CM often appear as perturbations in the lactation curve [13]. To detect quarter-level milk yield perturbations (qMYPs), the unperturbed lactation curve (ULC) of each quarter for each lactation was estimated using the iterative Wood model with variable thresholds [13,30]. The ULC of each quarter lactation was subtracted from the daily quarter-level milk yield (dqMY) to obtain the daily quarter-level milk loss (dqML) series (Figure 1). Milk loss is negative when the dqMY is lower than the ULC, resulting in a negative dqML value. In our study, a qMYP was defined as a period of at least 3 successive days of negative dqML for which dqMY dropped at least once below 90% of the expected yield (e.g., ULC). A qMYP was considered recovered if the dqML returned to a positive value. Additionally, a qMYP was attributed to a CM case when the period of the qMYP included the CM detection day or began within one week after the detection day.

2.3. Percentage Recovery

To define the percentage recovery, the qMYP was divided into a “developing phase” and a “recovery phase”. To this end, we smoothed the dqML series of each qMYP using a third-order Savitzky–Golay polynomial smoother with a window size of 5 days. The maximum milk loss (MML) was identified as the minimum of the smoothed dqML associated with the qMYP. The “developing phase” and the “recovery phase” of the qMYP are, respectively, the periods before and after the day of MML (i.e., the nadir day). The percentage recovery was defined as 1 − d q M L M M L for each day during the recovery phase. The term d q M L M M L , which is the proportion of milk loss in comparison to MML, represents the percentage of milk yield that cows would still need to recover to reach the expected level of milk production when no perturbation was present [13,36]. An example of a qMYP and its associated percentage recovery is shown in Figure 2.
Most studies agree that the recovery of milk losses during CM can last up to 4 weeks after detection [17,37]; therefore, the percentage recovery was calculated for at most 4 weeks after the nadir day. Due to the focus of our study on milk yield recovery, qMYPs without a recovery phase (i.e., showing only a developing phase) were excluded from our study.

2.4. Statistical Analysis

2.4.1. Recovery Patterns Between Inflamed and Uninflamed Quarters

To identify different recovery dynamic patterns, qMYPs were classified separately for inflamed and uninflamed quarters into three groups based on recovery duration (from the nadir day until dqML became positive or up to 28 days after the nadir day): quickly recovered (within two weeks), slowly recovered (weeks 3–4), and non-recovered (>4 weeks or no recovery).
To quantify and compare the level and speed of recovery, we calculated the average percentage recovery (APR) and the slope of percentage recovery (SPR) in 5 distinct time intervals: days 1 to 3, days 4 to 7, week 2, week 3, and week 4 following the nadir day (day 0). The SPR was calculated as the slope of the percentage recovery between the first and last day within each time interval.
We conducted the following analysis to explore differences in recovery between inflamed and uninflamed quarters for different groups: First, we compared the distribution of APR (in %) and SPR in each time interval between inflamed and uninflamed quarters. Next, the distribution of APR and SPR between adjacent time intervals (e.g., between the time interval of days 1 to 3 and the time interval of days 4 to 7) were compared for inflamed and uninflamed quarters. Since APR and SPR were not normally distributed, a Mann–Whitney test was performed at a significance level of 0.05. The null hypothesis stated that there was no significant difference in the distributions between the two groups.

2.4.2. Associations Between Quarter-Level Milk Yield Recovery and Milk Loss, Somatic Cell Count, Clinical Severity, and Pathogens

Milk loss. For each CM case, we calculated the quarter-level maximum relative milk loss (qMRML) over the period from 7 days before to 14 days after the detection day (day 0) for inflamed and uninflamed quarters separately. Relative dqML series was obtained by dividing the absolute milk loss by the ULC for each day. For inflamed quarters, qMRML was calculated as the maximum relative dqML within the 3-week window. For uninflamed quarters, qMRML was calculated as the average of the qMRML across all uninflamed quarters during this period.
Somatic cell count. We calculated the maximum somatic cell count deviation (MSCCD) based on the difference between the maximum SCC value (max (SCC)) from day −7 to day 14 and a cow-level healthy SCC baseline (SCCh). SCCh was defined per lactation as the average of all SCC values below 200,000 cells/mL [28]. A cow-level baseline was used to account for differences in SCC between cows and parities [38]. To reduce variability and enhance suitability for statistical analysis, both SCC and SCCh were log-transformed. MSCCD was calculated as log(max(SCC)/1000) − log(SCCh/1000).
Clinical severity. Clinical severity was classified based on the presence of signs in the milk, udder, and systemic levels [39,40]. Between day 0 and day 7, cases showing only milk-level signs were categorized as “mild”. If udder-level signs were observed, the case was classified as “moderate”, and if systemic symptoms were present, it was considered “severe”.
Causative pathogens. The causative pathogens were identified from bacteriological culture results of milk samples collected from the inflamed quarter on day 0 and classified as major, minor, or culture-negative (Table 1). Samples with negative bacteriological results, as well as those only containing Aerococcus spp., Bacillus cereus, or Bacillus spp., which were likely due to contamination during sample collection, were classified as “culture-negative”. Staphylococcus aureus, Streptococcus, Strep-like organisms, Coliforms, Yeasts, Serratia spp., Klebsiella spp., and Trueperella pyogenes were classified as “major pathogens” due to their higher virulence and greater damage to the udder compared to other pathogens [41,42,43]. If at least one major pathogen was detected, the case was categorized as “major pathogen”. Cases with no major pathogens and not classified as culture-negative were categorized as “minor pathogens”.
To investigate the associations between milk yield recovery and milk loss, SCC, clinical severity, and causative pathogens, we conducted two analyses. First, we investigated the pairwise correlations between the milk yield recovery (APR and SPR) and qMRML, MSCCD, clinical severity, and causative pathogens by calculating the Spearman correlation values. Next, we performed the following regression analyses to explore the associations between the recovery indicators (APR and SPR) and qMRML, MSCCD, clinical severity, and causative pathogens simultaneously:
Y ~ β 0 + q M R M L i + q M R M L u + M S C C D + C l i n i c a l   s e v e r i t y + P a t h o g e n + ε
where Y represents the APR or SPR in different time intervals, qMRMLi and qMRMLu represent the qMRML for inflamed and uninflamed quarters, respectively, and ε is the error. qMRMLi and qMRMLu are continuous effects, while clinical severity and pathogens are ordinal categorical effects, with “mild” clinical severity and “culture-negative” pathogens serving as reference groups. Given the correlations among the independent variables (qMRML, MSCCD, clinical severity, and causative pathogens), we calculated variance inflation factors (VIFs) to test for multicollinearity and to ensure reliable estimation and prediction before conducting the regression analysis. To increase the interpretability of the regression models, qMRML and MSCCD were normalized by subtracting the mean and dividing by the standard deviations. Additionally, APR or SPR values for which the Cook’s distance exceeded four times the average were considered as outliers and excluded from the regression analysis, as such values bias the estimation of regression coefficients.

3. Results

During the trial period, 176 CM cases were detected from 135 cows on the three farms. After applying the selection criteria, 47 cases (27%) were excluded—27 due to incomplete data and 20 due to inflammation in multiple quarters. This resulted in 129 CM cases, of which 122 (95%) concurred with a qMYP in the inflamed quarter, whereas, for 7 cases, no perturbation was found. Out of the 122 cases with qMYPs, 5 (4%) only had the developing phase, 80 (66%) had a qMYP in all four quarters, 24 (20%) had a qMYP in three quarters, 11 (9%) had a qMYP in two quarters, and 2 (2%) had qMYP only in one (i.e., the inflamed) quarter. After exclusion of CM cases without a detectable milk yield perturbation or that only had the developing phase, 117 CM cases (19 in first lactation and 98 in later lactations) from 96 cows with 104 lactations remained for our study, including 117 (96%) qMYPs in the inflamed quarters and 299 (97%) qMYPs in the uninflamed quarters.

3.1. Description of the Clinical Mastitis Cases

Table 2 presents the distribution of qMRML, MSCCD, clinical severity, and causative pathogens of CM cases. As shown, inflamed quarters exhibited higher mean qMRML values compared to uninflamed quarters. Mild cases had the lowest qMRML and MSCCD values compared to moderate and severe cases. Of the 117 total cases, 88 (75%) had pathogen test results, with major pathogens identified in 81% (71/88) of these cases. Culture-negative cases showed higher qMRML and MSCCD values than minor pathogen cases.

3.2. Percentage Recovery

Table 3 shows the number of qMYPs in inflamed and uninflamed quarters that recovered within different time intervals. Overall, 47% (55/117) of inflamed quarters and 68% (203/299) of uninflamed quarters recovered within four weeks after the nadir day. Among all recovered quarters, 65% (36/55) of inflamed quarters and 74% (150/203) of uninflamed quarters were classified in the “quickly recovered” group (recovered within two weeks).
The percentage recovery was calculated separately for inflamed and uninflamed quarters over the four weeks following the nadir day. To focus on the active recovery phase, qMYPs were excluded once recovery was achieved; therefore, fewer qMYPs are included in the later periods over the course of four weeks. Overall, the median percentage recovery in the inflamed quarters was lower than in the uninflamed quarters, as shown in Figure 3. The inflamed quarter recovered approximately 30% from MML by day 3, 50% by day 7, and 60% by day 14, with a slight decline in the following weeks. In contrast, the uninflamed quarters recovered around 60% by day 3, 70% by day 7, and 80% by day 14, maintaining a similar recovery level thereafter.

3.3. Recovery Between Inflamed and Uninflamed Quarters

The comparisons of APR and SPR between inflamed and uninflamed quarters in the different time intervals after the nadir day (days 1–3, days 4–7, week 2, week 3, and week 4) are shown in Table 4. For groups that recovered within four weeks, no differences (p > 0.05) were observed in the APR and between inflamed and uninflamed quarters. For example, in the quickly recovered group (recovered within two weeks), both inflamed and uninflamed quarters showed similar recovery patterns, with approximately 50% recovery from MML within the first three days, 75% recovery during days 4–7, and 85% recovery by week 2. Additionally, in the slowly recovered group, a significantly higher SPR (p < 0.05) was found in inflamed quarters during week 3, indicating that inflamed quarters recovered faster than uninflamed quarters during this period.
For the non-recovered group, the APR was found to be significantly lower in inflamed quarters compared to uninflamed quarters across all time intervals. For instance, in the time interval of days 4–7, uninflamed quarters recovered 52% from MML, while inflamed quarters recovered around 25% (both median values). Additionally, a significantly lower SPR (p < 0.05) was observed in inflamed quarters as compared to uninflamed quarters during days 1–3, suggesting that the inflamed quarters recovered 59.4% slower during this time interval based on the median SPR (0.0377 for inflamed and 0.0928 for uninflamed). The difference in APR between inflamed and uninflamed quarters in all time intervals of the non-recovered group thus seems to originate from the difference in SPR during days 1–3. Besides that, APR has a greater IQR in inflamed quarters than uninflamed quarters, indicating greater variability in recovery levels among inflamed quarters.

3.4. Recovery Between Adjacent Time Intervals in Inflamed and Uninflamed Quarters

The differences in APR and SPR between adjacent time intervals in inflamed and uninflamed quarters are visualized in Figure 4. For groups that recovered within four weeks, both inflamed and uninflamed quarters showed a significant increase (p < 0.05) in recovery levels (APR) between adjacent time intervals. However, differences were observed in recovery speed (SPR). In the quickly recovered group, the recovery speed (SPR) significantly decreased (p < 0.05) from days 1–3 to days 4–7 in both inflamed and uninflamed quarters, with inflamed quarters continued to show a significant decline in recovery speed from days 4–7 to week 2 (p < 0.05), whereas uninflamed quarters stabilized after the initial decrease. In the slowly recovered group, the recovery speed (SPR) followed similar patterns in both inflamed and uninflamed quarters. A significant decrease in SPR was observed from days 1–3 to days 4–7 (p < 0.05). From week 2 to week 3, no significant change in recovery speed was noted (p > 0.05), but a notable decline was observed from week 3 to week 4 (p < 0.05).
For the non-recovered group, recovery levels in inflamed quarters increased significantly (p < 0.05) only during the first two weeks, while uninflamed quarters continued to increase (p < 0.05) for three weeks after the nadir day. Regarding recovery speed, both inflamed and uninflamed quarters experienced a significant decline (p < 0.05) during the first three weeks, with no changes in week 4 (p > 0.05).

3.5. Associations Between Quarter-Level Milk Yield Recovery and Milk Loss, Somatic Cell Count, Clinical Severity, and Pathogens

3.5.1. Correlation Analysis

Figure 5 presents the Spearman correlation coefficients between qMRML, MSCCD, clinical severity, causative pathogens, and APR as well as SPR across different time intervals. Most of the correlations are statistically significant (p < 0.05), indicating meaningful associations between these factors and recovery levels. As shown in Figure 5, qMRML, MSCCD, clinical severity, and causative pathogens are negatively correlated with APR in inflamed quarters, indicating that greater milk loss, higher SCC, more severe clinical signs, and the presence of major pathogens are associated with poorer recovery. Similarly, these variables show negative correlations with SPR during the first three days in inflamed quarters. In uninflamed quarters, these variables show negative correlations with APR during the first week, indicating poorer early recovery, but shift to positive correlations in the following weeks, suggesting improved recovery over time. For SPR, negative correlations were observed during the first three days, but positive associations were observed in certain time periods thereafter.

3.5.2. Regression Analysis

All independent variables had VIFs below 2.5, suggesting that the predictors contributed independently to the model, allowing for reliable interpretation of their effects. The estimated coefficients and their 95% confidence intervals (CIs) from the regression analyses are presented in Table 5 and Table 6. As shown in Table 4, milk loss, SCC, clinical severity, and causative pathogens influence APR differently in inflamed and uninflamed quarters. For example, each unit increase in qMRMLu during the first three days was associated with a 6% (95% CI: −9% to −1%) decrease in APR in inflamed quarters and a 9% (95% CI: −12% to −7%) decrease in uninflamed quarters. In inflamed quarters, qMRML negatively affected recovery throughout the first three weeks following the nadir day, whereas, in uninflamed quarters, its impact was limited to the first two weeks. MSCCD was positively associated with APR in inflamed quarters during the initial three weeks but showed no significant effect in uninflamed quarters. Higher clinical severity was linked to better recovery, particularly in uninflamed quarters during the third and fourth weeks. In contrast, the presence of minor or major pathogens was associated with poorer recovery in both inflamed and uninflamed quarters compared to culture-negative cases. Overall, models predicting recovery in uninflamed quarters generally had lower R2 values than those for inflamed quarters.
For SPR, the milk loss, SCC, clinical severity, and causative pathogens have varying effects in inflamed and uninflamed quarters. For instance, with each additional unit increase in qMRMLu, the SPR decreased by 2.23% (95% CI: −3.60% to −0.77%) in the inflamed quarter and decreased by 3.32% (95% CI: −4.18% to −2.32%) in uninflamed quarters during the first three days. Consistent with the results in APR, qMRMLi affected SPR only in the inflamed quarters, whereas qMRMLu influenced SPR in both inflamed and uninflamed quarters. Additionally, MSCCD had a significant positive impact on the SPR in the inflamed quarter only during the first week, while it had no effect on the uninflamed quarters. Clinical severity and causative pathogens affected the SPR in both inflamed and uninflamed quarters to some extent. The R2 value exceeds 20% for the model with inflamed and uninflamed quarters only during the first three days.

4. Discussion

4.1. Description of Clinical Mastitis Cases

Since dqMY can be influenced by factors such as parity and lactation stage, we calculated qMRML instead of absolute loss to enable more meaningful and comparable assessments. In addition, MSCCD was calculated based on deviations from a cow-level SCC baseline, which not only reflects the “uninfected” status but also accounts for individual differences due to factors such as parity or disease history [38]. Causative pathogens were grouped into the following three categories: culture-negative, presence of only minor pathogens, and presence of major pathogens. This approach was intended to reduce variability and increase the sample size within each group, thereby enhancing statistical power to detect meaningful associations. It also allowed for a simplified analytical framework while retaining critical distinctions in recovery outcomes. However, we acknowledge that this classification may mask specific characteristics associated with individual pathogens. Despite this limitation, as pathogen prevalence can vary considerably across farms [44,45], we believe that using these categories is appropriate to generate more generalizable results.
For CM cases, since inflamed quarters experience greater and more prolonged milk losses [46], qMRML was higher in inflamed quarters compared to uninflamed quarters. This difference highlights both the local and systemic effects of mammary gland inflammation [47]. The mean MSCCD was 3.65, indicating that the maximum SCC during CM episodes was, on average, 38.47 times higher than the healthy baseline SCC, reflecting the rapid and pronounced immune response to inflammation [20,48].
Most CM cases in our dataset were classified as mild to moderate in clinical severity, aligning with prior studies; however, the proportion of severe cases was slightly higher in our sample [40,49,50]. In terms of pathogen distribution, 25% of cases were culture-negative, and the majority were caused by major pathogens, consistent with previous research [40,51]. These similarities with previous studies support the representativeness of our dataset, providing a strong basis for further analysis.

4.2. Quantification of the Recovery via Quarter-Level Milk Yield Perturbations

Mastitis-associated milk losses in dairy cows significantly impact farm profitability and sustainability, manifesting as altered milk yield dynamics seen as perturbations in the lactation curve [13,44,52]. As a result, quarter-level milk yield perturbations (qMYPs) are often observed, particularly in the inflamed quarters, as CM has a detrimental impact on milk production [7]. In our study, seven CM cases had no qMYPs during the inflammation. All of these cases occurred in early lactation. Detection of perturbations in early lactation is more difficult with our method, as deviating milk yield in early lactation might result in an underestimation of the ULC [15]. Also, 4% of qMYPs in the inflamed quarter and 3% of qMYPs in the uninflamed quarters lacked a recovery phase, and were therefore excluded from our study. All of these qMYPs occurred in late lactation, which might explain the reason why the quarters were dried off or fell dry after infection [53].

4.3. Percentage Recovery

Thanks to the implementation of sensor technology and the availability of high-frequency sensor data, conducting in-depth research into milk yield dynamics has become possible. In this study, we researched the milk yield recovery by calculating the percentage milk yield recovery during the recovery phase of the qMYP period linked to a CM case. The recovery dynamic might not be restricted to CM cases, and this methodology could be applied to other datasets to investigate the effect of different causalities. For example, it can be used to analyze the perturbations caused by specific environmental challenges such as heat stress, enabling us to explore the impact on milk production and to identify animals with better responses to these challenges [54].
In our study, more than 60% of uninflamed quarters recovered to the expected dqMY within 4 weeks, aligning with previous studies suggesting that milk yield recovery may extend up to 4 weeks after the disease diagnosis [17,37,55]. However, more than half of the inflamed quarters did not return to the expected dqMY after 4 weeks, indicating more prolonged impact on inflamed quarters compared to uninflamed quarters [46]. Although inflamed quarters recovered less and more slowly than uninflamed quarters, both followed a similar pattern: steep recovery in the first three days, slower recovery from days 4 to 7, and gradual recovery through weeks 2 to 4. This trend, also observed in the study of Sguizzato [17], suggests there may exist a general recovery trend shared by both inflamed and uninflamed quarters.
The results in the quickly recovered group showed that both inflamed and uninflamed quarters followed a similar trajectory, achieving comparable recovery levels and speeds for two weeks. Although both inflamed and uninflamed quarters experienced a significant increase in recovery levels over two weeks, the speed of recovery declined sharply for inflamed quarters in the second week, whereas uninflamed quarters maintained a stable recovery speed. The observed deceleration in recovery speed as inflamed quarters approach full recovery may be attributed to inherent limitations in tissue repair mechanisms, leading to a slowdown in healing as the tissue nears complete recovery, which aligns with the natural progression of wound healing [56].
In the slowly recovered group, we found that both inflamed and uninflamed quarters followed a similar healing trajectory. Additionally, inflamed quarters recovered significantly faster than uninflamed quarters in week 3, suggesting that achieving similar recovery levels may require an accelerated recovery process for inflamed quarters compared to uninflamed ones. Both inflamed and uninflamed quarters exhibited rapid recovery during days 1–3, followed by a sharp slowdown in days 4–7. Their recovery speed remained consistent from day 4 to week 3, after which they slowed down as they approached full regeneration.
The results of the non-recovered group showed significantly worse recovery with bigger variability in inflamed quarters compared to uninflamed quarters. During week 4, uninflamed quarters generally recovered 73% from MML, while inflamed quarters only recovered 52%, indicating that inflamed quarters generally suffered more severe effects of CM [46]. The observed variability may stem from differences in individual immune responses, severity of infection, or underlying tissue damage, as noted in previous studies [30,47]. Inflamed quarters showed significant recovery only during the first two weeks, while uninflamed quarters continued to recover significantly in week 3. This suggests that inflamed quarters may experience an early but limited recovery, potentially due to the longer-lasting effects of inflammation, tissue damage, or impaired milk production capacity [46,47]. Regarding the recovery speed, both inflamed and uninflamed quarters experienced a significant decline in recovery speed over the first three weeks, followed by a stable phase in week 4.
The recovery processes for both the quickly and slowly recovered groups were similar between inflamed and uninflamed quarters, which aligns with our expectations, given that these groups were initially defined based on the time at which recovery was achieved. For the non-recovered group, significantly worse recovery levels were observed in each time interval in inflamed quarters compared to uninflamed quarters. However, a slower recovery in inflamed quarters was only observed during days 1–3, where inflamed quarters showed significantly lower recovery speeds than uninflamed quarters. This suggests that the differences in recovery levels stem from the first three days, highlighting the critical importance of this early recovery phase. These findings elucidate some similarities and differences in recovery patterns between inflamed and uninflamed quarters for different recovery groups, thereby enhancing our understanding of CM and providing valuable insights for future applications. For example, if a quarter did not recover as expected, veterinarians should consider alternative interventions to support the recovery process. However, given the limited data available for each group, further data are necessary to draw more precise conclusions. The larger sample sizes will provide more robust and informative insights into recovery patterns and treatment efficacy.

4.4. Associations Between Quarter-Level Milk Yield Recovery and Milk Loss, Somatic Cell Count, Clinical Severity, and Pathogens

The correlation analysis results for inflamed quarters align with expectations, showing that greater milk loss, stronger immune response, more severe clinical signs, and the presence of major mastitis pathogens are associated with poorer recovery and slower recovery rates [17,57]. However, for uninflamed quarters, these associations were the same during the first week, followed by better and faster recovery over the next three weeks. This may be due to the inflammation and immune response affecting the relocation of nutrients, which, in turn, influences the number and activity of secretory cells in both inflamed and uninflamed quarters. Consequently, when a cow recovers, the systemic effects of the CM disappear. Although the inflamed quarter might need more time to heal the local damage in the quarter, the milk production losses in this quarter could be partially compensated by the other quarters. This compensation results in less overall milk loss and better recovery in the uninflamed quarters [58,59,60].
Consistent with the results of the correlation analysis, the regression analysis showed that greater maximum milk loss in both inflamed and uninflamed quarters negatively impacts recovery in the inflamed quarters over the subsequent four weeks. In contrast, for uninflamed quarters, maximum milk loss in uninflamed quarters significantly impacted recovery only during the first two weeks. The milk loss in the inflamed quarter comes from both local tissue damage and the systemic effects of inflammation, while, in uninflamed quarters, it is primarily from systemic effects [47]. Our results suggest that the systemic effects primarily influence short-term recovery in uninflamed quarters, while long-term recovery in these quarters may be driven by other factors, such as potential compensation for reduced production in the inflamed quarters [58,59,60].
Higher SCC appears to aid recovery in inflamed quarters, which seems to contradict the correlation analysis results. This discrepancy may arise because the regression model accounts for the influence of all independent variables, while correlation analysis only considers the relations between recovery and MSCCD. The regression analysis showed that MSCCD significantly affects recovery in the inflamed quarters while having no significant impact on the uninflamed quarters. SCC reflects the intensity of the immune response, which primarily occurs in the inflamed quarters, directly influencing their recovery [48]. In contrast, its effect on uninflamed quarters is minimal or absent. Additionally, these effects persist for up to three weeks, suggesting that an increase in SCC significantly aids the recovery in the inflamed quarters. However, beyond this period, a higher immune response may not continue to facilitate recovery, possibly because a higher immune response is also associated with increased tissue damage in inflamed quarters [47], which may hinder long-term healing.
For clinical severity, as expected, higher clinical severity in inflamed quarters is associated with poorer recovery, particularly during the first week [17]. However, in uninflamed quarters, higher clinical severity corresponds to better recovery from the second week onwards. This may also be attributed to milk compensation by the uninflamed quarters for the milk losses by the inflamed quarters, leading to improved recovery in uninflamed quarters [58,59,60].
Additionally, the regression results for causative pathogens also aligned with our expectations, showing that minor or major causative pathogens are associated with worse recovery in both inflamed and uninflamed quarters compared to culture-negative cases. Culture-negative CM cases in our study were found to have a higher qMRML as well as MSCCD compared to minor pathogen cases. Previous studies have shown that culture-negative mastitis can result in milk losses similar to less severe or rapidly cured Gram-negative infections [61,62,63]. Culture-negative CM cases in our study may reflect strong immune responses that cleared the pathogens before detection, yet still led to elevated SCC and notable milk loss [64,65].
This study conducted correlation and regression analyses to explore the associations between quarter-level milk yield recovery and milk loss, SCC, clinical signs, and pathogens. Correlation analysis helps us identify pairwise associations and regression analysis helps determine which factors significantly impact quarter-level milk recovery. Although the R* values are relatively low, particularly for models with SPR, we opted for this approach because of its simplicity and ease of interpretation, as it can offer valuable insights into the associations. This combined approach provides a comprehensive understanding of the associations involved. First, it reveals the general relation. Greater milk loss, stronger immune response, more severe clinical signs, and the presence of major mastitis pathogens are associated with poorer recovery in inflamed quarters. In uninflamed quarters, these factors are linked to worse recovery during the first week, with better recovery over the subsequent three weeks. Second, the regression analysis results offer insights into how these variables impact both short-term and long-term recovery of quarter-level milk yield. Short-term recovery in inflamed quarters is more influenced by milk loss, SCC, clinical severity, and causative pathogens, whereas, in uninflamed quarters, short-term recovery is primarily affected by milk loss and causative pathogens. For long-term recovery, the inflamed quarter is only not influenced by clinical severity, while, in uninflamed quarters, long-term recovery is not impacted by milk loss and SCC. This information improves our understanding of the disease, could assist veterinarians in developing individual tailored treatment plans, and help herd managers make better management decisions.

4.5. Application Potential and Future Work

The results in our findings offer practical applications in several ways. Firstly, if more data were available, models could be developed to predict recovery from CM. This model could then assist in monitoring and forecasting milk yield recovery from CM, enabling veterinarians to identify underperforming quarters early and intervene promptly. Secondly, the associations between treatment and milk loss, SCC, clinical severity, causative pathogens, as well as recovery need to be explored. This information can help veterinarians make individually tailored and data-based treatment plans, improving treatment success, reducing antibiotic use, and enhancing the sustainability of the dairy sector [8]. Additionally, by exploring the recovery dynamics in different groups, the results can aid in more precisely monitoring and forecasting final recovery outcomes, thus helping to evaluate the disease resistance of cows and identify animals that recover better from CM. When integrated with genetic information, the results also present an opportunity for breeding and selection. Beyond factors such as parity, LS, and position, it is imperative to delve deeper into the impact of herd, farm, seasonal effects, and different management practices on milk yield recovery in CM cases [2,12,13]. More data will contribute to a more comprehensive understanding of these influences.

5. Conclusions

This study explored the quarter-level milk yield recovery in CM cases and the association with milk loss, SCC, clinical severity, and causative pathogens. The inflamed and uninflamed quarters in the quickly and slowly recovered groups exhibited similar recovery patterns. However, in the non-recovered group, inflamed quarters showed worse and slower recovery than uninflamed quarters. Additionally, our analysis revealed that greater milk loss, stronger immune response, more severe clinical signs, and the presence of major mastitis pathogens are associated with worse recovery in the inflamed quarters. In contrast, in uninflamed quarters, they are linked to worse recovery during the first week, but better recovery over the subsequent three weeks. Moreover, in inflamed quarters, short-term recovery depends on all four factors, while long-term recovery is affected by all except clinical severity. In uninflamed quarters, short-term recovery is affected by milk loss and pathogens, while long-term recovery is only affected by clinical severity and pathogens. These analyses improve our understanding of recovery from CM and offer opportunities for monitoring and forecasting the milk yield recovery from CM, which helps veterinarians and farmers make informed treatment decisions, thereby minimizing production loss and improving animal welfare.

Author Contributions

Conceptualization, Y.S., B.A. and I.A.; Data curation, M.J.G., B.A. and I.A.; Formal analysis, Y.S.; Funding acquisition, B.A.; Investigation, Y.S.; Methodology, Y.S., I.A. and B.A.; Project administration, B.A. and I.A.; Resources, B.A.; Software, Y.S.; Supervision, B.A. and I.A.; Validation, Y.S.; Visualization, Y.S. and I.A.; Writing—original draft, Y.S. and I.A.; Writing—review and editing, M.J.G., L.D. and B.A. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by VLAIO as an LA-trajectory (Brussels, Belgium), with grant number HBC.2016.0774.

Institutional Review Board Statement

Ethical review and approval were waived for this study. All data collected for this study were obtained through observation as part of conventional diary management practices (clinical scoring, milk sample taking, and mastitis treatment). No additional interference with the animals on top of normal dairy cow management was introduced in the context of this study. Therefore, no approval of the experiment by an ethical committee is needed according to the Belgian ethical guidelines.

Data Availability Statement

The data presented in this study are available upon request from the corresponding author. The data are not publicly available to protect the privacy of the farmers and farms involved in the research.

Acknowledgments

The authors express gratitude to the Chinese Scholarship Council (CSC) for financially supporting the Ph.D. study of Yifan Song. Lore D’Anvers and Martin Gote were each awarded a Ph.D. fellowship by the Fund for Scientific Research (FWO) Flanders (Brussels, Belgium), with grant numbers 1S82021N and 1SE0922N, respectively. During the preparation of this manuscript, the author(s) used ChatGPT(GPT-4o, OpenAI, San Francisco, CA, USA) for the purpose of polishing the text. The authors have reviewed and edited the output and take full responsibility for the content of this publication.

Conflicts of Interest

The authors declare no conflicts of interest.

Abbreviations

AMSAutomatic milking system
APRAverage percentage recovery
CMClinical mastitis
CIConfidence interval
dqMYDaily quarter-level milk yield
dqMLDaily quarter-level milk loss
IQRInterquartile range
MMLMaximum milk loss
MSCCDMaximum somatic cell count deviation
qMRMLQuarter-level maximum relative milk loss
qMYQuarter-level milk yield
qMYPQuarter-level milk yield perturbation
SCCSomatic cell count
SPRSlope of percentage recovery
ULCUnperturbed lactation curve
VIFVariance inflation factor

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Figure 1. Example of daily quarter-level milk yield (dqMY) and daily quarter-level milk loss (dqML) series. The red area indicates the quarter-level milk yield perturbation (qMYP) period. The dark blue line represents the dqMY series, and the dark red solid line represents the estimated unperturbed lactation curve (ULC). The light blue solid line represents the dqML series, which was calculated by subtracting the ULC from the dqMY.
Figure 1. Example of daily quarter-level milk yield (dqMY) and daily quarter-level milk loss (dqML) series. The red area indicates the quarter-level milk yield perturbation (qMYP) period. The dark blue line represents the dqMY series, and the dark red solid line represents the estimated unperturbed lactation curve (ULC). The light blue solid line represents the dqML series, which was calculated by subtracting the ULC from the dqMY.
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Figure 2. Example of quarter-level milk yield perturbation (qMYP). The red area indicates the qMYP period. The dark blue lines represent the daily quarter-level milk loss (dqML), with the “X” markers denoting the raw dqML and the solid dark blue circles indicating the smoothed dqML. The green line represents the percentage recovery.
Figure 2. Example of quarter-level milk yield perturbation (qMYP). The red area indicates the qMYP period. The dark blue lines represent the daily quarter-level milk loss (dqML), with the “X” markers denoting the raw dqML and the solid dark blue circles indicating the smoothed dqML. The green line represents the percentage recovery.
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Figure 3. Median (solid line) and interquartile range (25–75% quantiles; shaded area between dashed lines) of percentage recovery (top) and the percentage of unrecovered quarter-level milk yield perturbations (qMYPs) (bottom) during the four weeks following the nadir day. The bottom panel shows the percentage of qMYPs that remained below full recovery on each day. The red color represents the inflamed quarter and the purple color represents uninflamed quarters.
Figure 3. Median (solid line) and interquartile range (25–75% quantiles; shaded area between dashed lines) of percentage recovery (top) and the percentage of unrecovered quarter-level milk yield perturbations (qMYPs) (bottom) during the four weeks following the nadir day. The bottom panel shows the percentage of qMYPs that remained below full recovery on each day. The red color represents the inflamed quarter and the purple color represents uninflamed quarters.
Agriculture 15 01805 g003
Figure 4. Boxplots of (a,b) average percentage recovery (APR) and (c,d) the slope of percentage recovery (SPR) in inflamed and uninflamed quarters within different groups. Groups were separated by the recovery length of quarter-level milk yield perturbation (qMYP): quickly recovered (qMYPs recovered within 2 weeks), slowly recovered (qMYPs recovered in week 3–4), and non-recovered (qMYPs recovered > 4 weeks or not recovery). The markers above each box represent the results of comparing APR and SPR between adjacent time intervals using the Mann–Whitney test. “*”, ”**”, and “***” indicate significant differences, with p < 0.05, p < 0.01, and p < 0.001, respectively, between these groups, while “ns” indicates no significant difference.
Figure 4. Boxplots of (a,b) average percentage recovery (APR) and (c,d) the slope of percentage recovery (SPR) in inflamed and uninflamed quarters within different groups. Groups were separated by the recovery length of quarter-level milk yield perturbation (qMYP): quickly recovered (qMYPs recovered within 2 weeks), slowly recovered (qMYPs recovered in week 3–4), and non-recovered (qMYPs recovered > 4 weeks or not recovery). The markers above each box represent the results of comparing APR and SPR between adjacent time intervals using the Mann–Whitney test. “*”, ”**”, and “***” indicate significant differences, with p < 0.05, p < 0.01, and p < 0.001, respectively, between these groups, while “ns” indicates no significant difference.
Agriculture 15 01805 g004
Figure 5. The heatmap of correlation values between quarter-level maximum relative milk loss (qMRML), maximum somatic cell count deviation (MSCCD), clinical severity, causative pathogens, and the average percentage recovery (APR) and slope of percentage recovery (SPR). qMRMLi and qMRMLu represent qMRML for inflamed and uninflamed quarters. The asterisk indicates the correlation value is significant from 0 (* for p < 0.05, ** for p < 0.01, and *** for p < 0.001).
Figure 5. The heatmap of correlation values between quarter-level maximum relative milk loss (qMRML), maximum somatic cell count deviation (MSCCD), clinical severity, causative pathogens, and the average percentage recovery (APR) and slope of percentage recovery (SPR). qMRMLi and qMRMLu represent qMRML for inflamed and uninflamed quarters. The asterisk indicates the correlation value is significant from 0 (* for p < 0.05, ** for p < 0.01, and *** for p < 0.001).
Agriculture 15 01805 g005
Table 1. Classification of causative pathogens.
Table 1. Classification of causative pathogens.
ClassificationPathogens
Major pathogens Staphylococcus aureus (S. aureus), Streptococcus, Strep-like organisms, Coliforms, Yeasts, Serratia spp., Klebsiella spp., and Trueperella pyogenes
Minor pathogens Citrobacter spp., Corynebacterium spp., Enterococcus spp., Lactococcus spp., Non-aureus Staphylococcen, and Staphylococcus spp. (except S. aureus)
Culture-negativeCulture-negative, Aerococcus spp., Bacillus cereus, or Bacillus spp.
Table 2. The distribution of quarter-level maximum relative milk loss and maximum somatic cell count deviation in different clinical severity (mild, moderate, and severe), causative pathogens (culture-negative, minor pathogens, and major pathogens), and total cases.
Table 2. The distribution of quarter-level maximum relative milk loss and maximum somatic cell count deviation in different clinical severity (mild, moderate, and severe), causative pathogens (culture-negative, minor pathogens, and major pathogens), and total cases.
Quarter-Level Maximum Relative Milk LossMaximum Somatic Cell Count Deviation (Mean ± Std)Number of Cases (Percentage *)
Inflamed (Mean ± Std)Uninflamed (Mean ± Std)
Clinical severity
Mild0.50 ± 0.250.24 ± 0.203.30 ± 0.9748 (41%)
Moderate0.67 ± 0.270.36 ± 0.223.92 ± 0.6436 (31%)
Severe0.81 ± 0.210.59 ± 0.283.88 ± 1.1333 (28%)
Causative pathogens
Culture-negative0.54 ± 0.240.29 ± 0.223.9 ± 1.2029 (25%)
Minor pathogens0.46 ± 0.220.20 ± 0.123.25 ± 0.8617 (15%)
Major pathogens0.73 ± 0.270.46 ± 0.283.86 ± 0.8471 (61%)
Total0.64 ± 0.280.38 ± 0.273.65 ± 0.97117 (100%)
Percentage *: calculated as the number of cases in each group divided by the total number of clinical mastitis cases.
Table 3. The number of quarter-level milk yield perturbations (qMYPs) in inflamed and uninflamed quarters recovered within various time intervals or that remained unrecovered after four weeks.
Table 3. The number of quarter-level milk yield perturbations (qMYPs) in inflamed and uninflamed quarters recovered within various time intervals or that remained unrecovered after four weeks.
Quarter-Level Milk Yield Perturbations
NUMBERS (Percentage)
InflamedUninflamed
Recovered within day 1–310 (9%)64 (21%)
Recovered within day 4–713 (11%)50 (17%)
Recovered within week 213 (11%)36 (12%)
Recovered within week 310 (9%)27 (9%)
Recovered within week 49 (8%)26 (9%)
Not recovered62 (53%)96 (32%)
Total117 (100%)299 (100%)
Table 4. The distribution of average percentage recovery (APR) and slope of percentage recovery (SPR), along with the comparison results of APR and SPR, between inflamed and uninflamed quarters.
Table 4. The distribution of average percentage recovery (APR) and slope of percentage recovery (SPR), along with the comparison results of APR and SPR, between inflamed and uninflamed quarters.
Number of CasesTime IntervalAverage Percentage RecoverySlope of Percentage Recovery
InflamedUninflamedMedian ± IQR* p-ValueMedian ± IQR*p-Value
InflamedUninflamedInflamedUninflamed
Quickly recovered36150Days 1–30.46 ± 0.190.47 ± 0.220.650.1691 ± 0.09210.1700 ± 0.07660.32
Days 4–70.73 ± 0.200.77 ± 0.200.840.0314 ± 0.07520.0232 ± 0.05810.32
Week 20.91 ± 0.070.84 ± 0.130.060.0277 ± 0.02500.0313 ± 0.05840.16
Slowly recovered1953Days 1–30.32 ± 0.160.34 ± 0.190.840.1233 ± 0.06070.1279 ± 0.05160.574
Days 4–70.60 ± 0.160.66 ± 0.260.360.0366 ± 0.05540.0298 ± 0.03690.51
Week 20.76 ± 0.160.80 ± 0.180.510.0142 ± 0.02270.0187 ± 0.03510.41
Week 30.85 ± 0.150.88 ± 0.1410.0177 ± 0.02490.0068 ± 0.02200.02 *
Week 40.89 ± 0.160.95 ± 0.070.140.0092 ± 0.01400.0079 ± 0.01330.43
Non-recovered6296Days 1–30.09 ± 0.200.25 ± 0.16<0.001 *0.0377 ± 0.08990.0928 ± 0.0697<0.001 *
Days 4–70.25 ± 0.500.52 ± 0.29<0.001 *0.0160 ± 0.02480.0271 ± 0.05400.11
Week 20.40 ± 0.540.65 ± 0.26<0.001 *0.0087 ± 0.01500.0094 ± 0.03840.96
Week 30.46 ± 0.510.70 ± 0.27<0.001 *0.0051 ± 0.00790.0080 ± 0.02540.14
Week 40.52 ± 0.550.73 ± 0.31<0.001 *0.0033 ± 0.00890.0020 ± 0.01590.54
Total117299Days 1–30.24 ± 0.350.36 ± 0.25<0.001 *0.0902 ± 0.12760.1381 ± 0.0959<0.001 *
Days 4–70.50 ± 0.500.66 ± 0.31<0.001 *0.0210 ± 0.03520.0279 ± 0.05120.46
Week 20.62 ± 0.510.74 ± 0.25<0.001 *0.0094 ± 0.01880.0174 ± 0.03510.22
Week 30.63 ± 0.560.78 ± 0.26<0.001 *0.0069 ± 0.01180.0079 ± 0.02170.67
Week 40.55 ± 0.570.78 ± 0.33<0.001 *0.0038 ± 0.00860.0031 ± 0.01480.64
IQR* interquartile range, representing the difference between the 75% and 25% quantile. *: Statistically significant difference between inflamed and uninflamed quarters (Mann–Whitney test; p < 0.05).
Table 5. The estimated coefficients and 95% confidence intervals (CIs) of fixed-effect models between quarter-level maximum relative milk loss (qMRML), maximum somatic cell count deviation (MSCCD), clinical severity, causative pathogens, and average percentage recovery (APR) in different time intervals.
Table 5. The estimated coefficients and 95% confidence intervals (CIs) of fixed-effect models between quarter-level maximum relative milk loss (qMRML), maximum somatic cell count deviation (MSCCD), clinical severity, causative pathogens, and average percentage recovery (APR) in different time intervals.
Model ParametersVIF *Days 1–3Days 4–7Week 2Week 3Week 4
Inflamed (95% CI *)Uninflamed
(95% CI *)
Inflamed
(95% CI *)
Uninflamed
(95% CI *)
Inflamed (95% CI *)Uninflamed
(95% CI *)
Inflamed (95% CI *)Uninflamed
(95% CI *)
Inflamed (95% CI *)Uninflamed
(95% CI *)
qMRMLi *1.97−0.07 *** [−0.11, −0.03]0.01
[−0.01, 0.04]
−0.10 ***
[−0.16, −0.04]
0.02
[−0.01, 0.07]
−0.13 **
[−0.20, −0.05]
0.02
[−0.02, 0.04]
−0.11 *
[−0.21, −0.03]
0.03
[0.00, 0.06]
−0.09
[−0.20, 0.01]
0.04
[−0.01, 0.09]
qMRMLu *2.1−0.06 **
[−0.09, −0.01]
−0.09 ***
[−0.12, −0.07]
−0.08 **
[−0.14, −0.02]
−0.09 ***
[−0.12, −0.04]
−0.11 ** [−0.17, −0.05]−0.04 **
[−0.06, 0.00]
−0.09 *
[−0.18, −0.04]
0.00
[−0.04, 0.03]
−0.07
[−0.14, 0.02]
0.02
[−0.03, 0.07]
MSCCD *1.150.03 *
[0.02, 0.08]
0.00
[−0.01, 0.02]
0.05 *
[0.01, 0.10]
0.00
[−0.04, 0.02]
0.08 ** [0.03, 0.13]0.02
[−0.02, 0.04]
0.07 *
[0.01, 0.13]
0.02
[−0.00, 0.05]
0.04
[−0.02, 0.11]
−0.03
[−0.05, 0.01]
Clinical severity1.45
Mild
Moderate −0.09 *
[−0.14, −0.01]
0.02
[−0.02, 0.07]
−0.13 *
[−0.24, −0.03]
0.07
[−0.02, 0.12]
−0.01
[−0.17, 0.07]
0.06
[−0.02, 0.10]
−0.08
[−0.20, 0.10]
0.06 *
[0.00, 0.13]
−0.08
[−0.26, 0.06]
0.15 ***
[0.06, 0.23]
Severe −0.03
[−0.09, 0.06]
0.02
[−0.03, 0.07]
−0.01
[−0.14, 0.11]
0.07
[−0.01, 0.14]
0.12
[0.00, 0.27]
0.12 *** [0.04, 0.17]0.15
[−0.05, 0.36]
0.15 ***
[0.07, 0.23]
0.08
[−0.10, 0.25]
0.22 ***
[0.11, 0.33]
Pathogens1.17
Culture-negative
Minor pathogens 0.07
[−0.01, 0.17]
−0.05
[−0.11, 0.01]
−0.03
[−0.17, 0.12]
−0.12 *
[−0.22, −0.03]
−0.07
[−0.26, 0.09]
−0.13 **
[−0.21, −0.03]
−0.13
[−0.35, 0.08]
−0.17 ***
[−0.25, −0.08]
−0.09
[−0.30, 0.17]
−0.07
[−0.16, 0.08]
Major pathogens −0.04
[−0.13, 0.01]
−0.07 **
[−0.12, −0.02]
−0.13 *
[−0.23, −0.02]
−0.07 *
[−0.14, 0.00]
−0.13 *
[−0.26, −0.04]
0.06
[0.00, 0.13]
−0.21 **
[−0.33, −0.04]
−0.04
[−0.09, 0.03]
−0.24 ** [−0.38, −0.03]−0.07
[−0.16, 0.01]
Intercept21.510.32 ***
[0.25, 0.38]
0.41 ***
[0.37, 0.45]
0.60 ***
[0.50, 0.70]
0.65 ***
[0.59, 0.73]
0.64 ***
[0.54, 0.76]
0.62 ***
[0.57, 0.69]
0.72 ***
[0.55, 0.84]
0.71 ***
[0.64, 0.77]
0.75 ***
[0.55, 0.89]
0.69 ***
[0.61, 0.78]
R2 50.52%30.14%52.93%13.44%48.01%23.69%43.07%46.62%44.28%45.38%
“*”, “**”, and “***” represent p-values of the estimated coefficient at <0.05, <0.01, and <0.001, respectively, implying a meaningful association between the fixed effect and APR in different time intervals. VIF *: variance inflation factor (VIF). CI *: confidence interval. qMRMLi *: quarter-level maximum relative milk loss for inflamed quarters. qMRMLu *: quarter-level maximum relative milk loss for uninflamed quarters. MSCCD *: maximum somatic cell count deviation.
Table 6. The estimated coefficients and 95% confidence intervals (CIs) of fixed-effect models between quarter-level maximum relative milk loss (qMRML), maximum somatic cell count deviation (MSCCD), clinical severity, causative pathogens, and slope of percentage recovery (SPR) in different time intervals.
Table 6. The estimated coefficients and 95% confidence intervals (CIs) of fixed-effect models between quarter-level maximum relative milk loss (qMRML), maximum somatic cell count deviation (MSCCD), clinical severity, causative pathogens, and slope of percentage recovery (SPR) in different time intervals.
Model ParametersVIF *Days 1–3Days 4–7Week 2Week 3Week 4
Inflamed (95% CI *)Uninflamed (95% CI *)Inflamed (95% CI *)Uninflamed (95% CI *)Inflamed (95% CI *)Uninflamed (95% CI *)Inflamed (95% CI *)Uninflamed (95% CI *)Inflamed (95% CI *)Uninflamed (95% CI *)
qMRMLi *1.97−0.0182 * [−0.0332, −0.0057]0.0067
[−0.0028, 0.0160]
−0.0143 ** [−0.0246, −0.0039]−0.0070
[−0.0143, 0.0004]
0.0042
[−0.0008, 0.0094]
−0.0028
[−0.0087, 0.0040]
−0.0017
[−0.0052, 0.0050]
−0.0098 *** [−0.0116, −0.0017]−0.0007
[−0.0049, 0.0035]
−0.0001
[−0.0061, 0.0039]
qMRMLu *2.1−0.0223 ** [−0.0360, −0.0077]−0.0332 *** [−0.0418, −0.0232]0.0022
[−0.0076, 0.0119]
0.0012
[−0.0048, 0.0092]
−0.0020
[−0.0059, 0.0026]
0.0060 * [0.0007, 0.0120]0.0008
[−0.0028, 0.0053]
0.0069 * [0.0007, 0.0104]−0.0001
[−0.0042, 0.0029]
0.0008
[−0.0042, 0.0056]
MSCCD *1.150.0122 * [0.0016, 0.0227]−0.0016
[−0.0085, 0.0054]
−0.0072 * [−0.0144, 0.0000]0.0044
[−0.0016, 0.0086]
0.0020
[−0.0009, 0.0057]
−0.0016
[−0.0069, 0.0017]
−0.0027
[−0.0063, 0.0007]
−0.002
[−0.0066, 0.0007]
−0.0037 *
[−0.0052, 0.0000]
−0.0012
[−0.0044, 0.0010]
Clinical severity1.45
Mild
Moderate −0.0434 *** [−0.0686, −0.0195]0.0101
[−0.0073, 0.0265]
0.0212 * [0.0043, 0.0380]0.0081
[−0.0066, 0.0209]
0.0020
[−0.0075, 0.0081]
0.0022
[−0.0071, 0.0168]
0.0073
[−0.0036, 0.0131]
0.0182 *** [0.0081, 0.0261]0.0012
[−0.0077, 0.0059]
−0.0011
[−0.0069, 0.0105]
Severe −0.0143
[−0.0436, 0.0144]
0.0107
[−0.0100, 0.0275]
0.0290 ** [0.0084, 0.0497]0.0122
[−0.0038, 0.0245]
0.0039
[−0.0074, 0.0112]
0.0125 * [0.0026, 0.0263]0.0036
[−0.0071, 0.0105]
0.0147 * [0.0034, 0.0244]0.0038
[−0.0054, 0.0099]
0.0028
[−0.0062, 0.0157]
Pathogens1.17
Culture-negative
Minor pathogens 0.0096
[−0.0172, 0.0489]
−0.0193
[−0.0437, 0.0008]
−0.0075
[−0.0292, 0.0143]
0.0226 * [0.0049, 0.0416]0.0022
[−0.0112, 0.0111]
0.0141
[−0.0042, 0.0282]
−0.0083
[−0.0203, 0.0037]
−0.0116
[−0.0109, 0.0137]
0.0134
[−0.0023, 0.0248]
0.0136 * [0.0046, 0.0194]
Major pathogens −0.0273 * [−0.0513, −0.0014]−0.0118
[−0.0292, 0.0059]
0.0066
[−0.0105, 0.0237]
0.0132
[0.0005, 0.0275]
−0.0076
[−0.0177, 0.0020]
0.0094
[−0.0038, 0.0197]
−0.0089 * [−0.0191, −0.0022]−0.0063
[−0.0132, 0.0033]
0.0017
[−0.0021, 0.0117]
0.003
[−0.0071, 0.0108]
Intercept21.510.1295 *** [0.1058, 0.1525]0.1396 *** [0.1239, 0.1567]0.0080
[−0.0080, 0.0239]
0.0093
[−0.0031, 0.0227]
0.0142 *** [0.0098, 0.0252]0.0001
[−0.0130, 0.0109]
0.0103 * [0.0032, 0.0204]0.0006
[−0.0087, 0.0082]
0.0014
[−0.0063, 0.0077]
−0.0003
[−0.0088, 0.0085]
R2 51.46%22.47%16.48%7.71%9.19%10.69%15.25%19.27%15.82%6.75%
“*”, “**”, and “***” represent p-values of the estimated coefficient at < 0.05, < 0.01, and < 0.001, respectively, implying a meaningful association between the fixed effect and APR in different time intervals. VIF *: variance inflation factor (VIF). CI *: confidence interval. qMRMLi *: quarter-level maximum relative milk loss for inflamed quarters. qMRMLu *: quarter-level maximum relative milk loss for uninflamed quarters. MSCCD *: maximum somatic cell count deviation.
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MDPI and ACS Style

Song, Y.; D’Anvers, L.; Gote, M.J.; Adriaens, I.; Aernouts, B. Quarter-Level Milk Yield Recovery Following Clinical Mastitis: Associations with Milk Loss, Somatic Cell Count, Clinical Severity, and Pathogens. Agriculture 2025, 15, 1805. https://doi.org/10.3390/agriculture15171805

AMA Style

Song Y, D’Anvers L, Gote MJ, Adriaens I, Aernouts B. Quarter-Level Milk Yield Recovery Following Clinical Mastitis: Associations with Milk Loss, Somatic Cell Count, Clinical Severity, and Pathogens. Agriculture. 2025; 15(17):1805. https://doi.org/10.3390/agriculture15171805

Chicago/Turabian Style

Song, Yifan, Lore D’Anvers, Martin Julius Gote, Ines Adriaens, and Ben Aernouts. 2025. "Quarter-Level Milk Yield Recovery Following Clinical Mastitis: Associations with Milk Loss, Somatic Cell Count, Clinical Severity, and Pathogens" Agriculture 15, no. 17: 1805. https://doi.org/10.3390/agriculture15171805

APA Style

Song, Y., D’Anvers, L., Gote, M. J., Adriaens, I., & Aernouts, B. (2025). Quarter-Level Milk Yield Recovery Following Clinical Mastitis: Associations with Milk Loss, Somatic Cell Count, Clinical Severity, and Pathogens. Agriculture, 15(17), 1805. https://doi.org/10.3390/agriculture15171805

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