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A two-node mechanistic thermophysiological model for pigs reared in hot climates – Part 2: Model performance assessments

Open access
Huang, Tao, Rong, Li, Zhang, Guoqiang, Brandt, Pia, Bjerg, Bjarne, Pedersen, Poul, Granath, Simon W.L.·2021·Biosystems Engineering

Abstract

The performance of the mechanistic two-node thermophysiological model was assessed using the experimental data with respect to gestating sows and fattening pigs. The relation between the convective heat transfer coefficient and local airspeed was derived from CFD simulation. The improvement brought by the newly proposed active module over the selected available models was analysed and discussed. Generally, the proposed two-node model with novel active modules for pulmonary ventilation rate (related to panting) and vasodilatation could predict rectal and skin temperatures for fattening pigs and gestating sows with an error of 0.88% and 3.96%, and 0.42% and 1.27% respectively. Employing existing relationships for pulmonary ventilation rate and vasodilatation resulted overestimations on the skin and rectal temperature. Additionally, the convective heat transfer coefficient should be developed based on the field conditions when the flow pattern is not similar to that under which the existing models were developed. The mean radiant temperature should be input with a decent level of accuracy when a high level of accuracy of prediction was necessary. The proposed model is reliable and robust when predicting the pig thermal status under various climate conditions and it is expected to be applied when operating the technical approaches to mitigate the heat stress.

AI snapshot

Written from the paper’s full text.

TL;DR

This Part 2 study validates a two-node mechanistic thermophysiological model for pigs in hot climates and assesses its performance against experiments with fattening pigs and gestating sows. The model with newly proposed active modules for vasodilatation and pulmonary ventilation rate predicted rectal and skin temperatures with low error, while alternative literature relationships and inaccurate mean radiant temperature inputs degraded accuracy.

Key findings

  • The proposed model predicted rectal and skin temperatures with MAPE of 0.88% and 3.96% for fattening pigs (Experiment A) and 0.42% and 1.27% for gestating sows (Experiment B), respectively.
  • Using existing relationships for pulmonary ventilation rate and vasodilatation overestimated skin and rectal temperatures; for panting, skin temperatures were around 1.1 °C and 1.8 °C higher with Eqs. (10) and (11) than with the proposed active modules.
  • The CFD-derived convective heat transfer coefficient increased with airspeed with a power coefficient of 0.68 (Eq. 12), nearly identical to Li et al. (2016) Eq. (3); the linear Eq. (4) yielded the highest CHTC and considerably under-predicted skin temperature.
  • MRT deviated from ambient air temperature at higher temperatures and airspeeds, e.g. MRT was around 35.7 °C versus ambient 33 °C at 1.41 m s⁻¹; substituting MRT with ambient air temperature mainly increased skin-temperature prediction error, while rectal-temperature prediction remained robust.

Methods

  • Two animal experiments: Experiment A used 8 fattening pigs (average 115 kg, 6 days); Experiment B used 8 gestating sows (average 301 kg, 12 days). Each experiment tested 18 cases combining three air temperatures, two RH levels, and three air speeds.
  • Rectal and skin temperatures were measured four times per 2-h test; the fourth measurements were averaged and used for analysis. Experiment B also measured wall surface temperatures to calculate MRT via view factors; Experiment A lacked successful surface-temperature collection, so MRT was set equal to ambient air temperature.
  • CFD simulations in STAR CCM+ with realisable k-ε turbulence modelling were used to derive the CHTC–airspeed relationship; the two-node model was implemented in Python and assessed using MAPE and comparisons against selected literature models for CHTC, vasodilatation, and pulmonary ventilation rate.

Limitations

  • The paper states that wall surface temperatures were not collected successfully in Experiment A due to instrumental problems, so MRT was assumed identical to ambient air temperature for fattening pigs; MRT calculation was only conducted for Experiment B.
  • The paper notes uncertainty in skin-temperature measurement on the backside of the ear in Experiment A and larger deviations for some 40% RH cases whose causes were not clear; CFD validation also showed discrepancies near the exhaust fan and limitations of the realisable k-ε model for recirculating flow.
  • The text makes evident that the experimental sample was small (8 pigs per experiment) and the test room had no exterior walls, limiting the range of MRT conditions; the paper also notes that thresholds in the selected Fialho et al. (2004) relationships were set arbitrarily and may vary across pig categories.

Model-written summary. Check it against the paper before relying on it.

Integrity signals

Registry

Crossref · 10.1016/j.biosystemseng.2021.08.021

Cites

39 of 39 references verified0 citation errors · 0 not checkable

Statistics

Nothing to recompute.

Claims the paper makes

3 of 12 cited sources checked · 3 supported · 0 flagged

  • Premisecitation
    § ScienceDirect

    The convective heat transfer coefficient and mean radiant temperature were required in the two-node model.

    “Besides the active modules proposed earlier (Huang et al., 2021), the convective heat transfer coefficient (CHTC) and the mean radiant temperature were required in the two-node model.”
    Quote in the paperSubstantial claim1 of 1 sources checked
    • cites Huang et al., 2021 source
  • Premisecitation
    § ScienceDirect

    Active modules for controlling pulmonary ventilation rate of panting and vasodilatation responses were developed with greater details compared with existing relationships.

    “Thus, active modules for controlling the pulmonary ventilation rate of panting and vasodilatation responses were developed with greater details compared with the aforementioned existing relationships.”
    Quote in the paperSubstantial claim1 of 1 sources checked
    • cites Huang et al., 2021 source
  • Findingown data
    § ScienceDirect

    The proposed two-node model with novel active modules for pulmonary ventilation rate and vasodilatation predicted rectal temperature for gestating sows with an error of 0.42%.

    “Generally, the proposed two-node model with novel active modules for pulmonary ventilation rate (related to panting) and vasodilatation could predict rectal and skin temperatures for fattening pigs and gestating sows with an error of 0.88% and 3.96%, and 0.42% and 1.27% respectively.”
    Quote in the paperSubstantial claim
  • Findingown data
    § ScienceDirect

    The proposed two-node model with novel active modules for pulmonary ventilation rate and vasodilatation predicted skin temperature for fattening pigs with an error of 3.96%.

    “Generally, the proposed two-node model with novel active modules for pulmonary ventilation rate (related to panting) and vasodilatation could predict rectal and skin temperatures for fattening pigs and gestating sows with an error of 0.88% and 3.96%, and 0.42% and 1.27% respectively.”
    Quote in the paperSubstantial claim
  • Findingown data
    § ScienceDirect

    The proposed two-node model with novel active modules for pulmonary ventilation rate and vasodilatation predicted skin temperature for gestating sows with an error of 1.27%.

    “Generally, the proposed two-node model with novel active modules for pulmonary ventilation rate (related to panting) and vasodilatation could predict rectal and skin temperatures for fattening pigs and gestating sows with an error of 0.88% and 3.96%, and 0.42% and 1.27% respectively.”
    Quote in the paperSubstantial claim
  • Classified as probably not a substantial claim. 21
  • May combine two claims. 30
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation
    § 3.4. Impact of vasodilatation and pulmonary ventilation rate models on predictions

    The three thresholds employed in Eqs. (9) and (11) were set arbitrarily in the study by Fialho et al. (2004).

    “In addition, it should be noted that the three thresholds employed in Eqs. (9) and (11) were set arbitrarily in the study by Fialho et al. (2004).”
    Quote in the paperNot a substantial claim1 of 1 sources checked
    • cites Fialho et al. (2004) source
  • May combine two claims.

    Findingown data
    § 3.3. Assessment of the two-node model by using data from experiment a and B

    A relatively large variation of skin temperature existed in both Experiment A and B, while the variation of the measured rectal temperature was only noticed at high ambient temperature.

    “It was seen that a relatively large variation of skin temperature existed in both Experiment A and B, while the variation of the measured rectal temperature was only noticed at high ambient temperature.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingown data
    § 3.3. Assessment of the two-node model by using data from experiment a and B

    The MAPE was lower than 1.00% to predict rectal temperature and was not larger than 4.00% to predict the skin surface temperature.

    “The results showed that the MAPE was lower than 1.00% to predict rectal temperature and was not larger than 4.00% to predict the skin surface temperature.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data
    § 3.3. Assessment of the two-node model by using data from experiment a and B

    In most cases, reasonable agreements were achieved and the deviations of the temperature difference from the body core to skin surface were mostly ≤1 C.

    “In most cases, reasonable agreements were achieved and the deviations of the temperature difference from the body core to skin surface were mostly 1 C.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Findingnone given
    § 3.3. Assessment of the two-node model by using data from experiment a and B

    The variation trend of the measured skin temperature at two RH levels was opposite with air temperature of 34.9 C.

    “and the variation trend of the measured skin temperature at two RH levels was opposite with air temperature of 34.9 C.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingown data
    § 3.5. Impact of CHTC models and MRT on predictions

    Predicted rectal temperatures by using Eqs. (2) and (4) in two-node model did not significantly differ from the value by using Eq. (12), while noticeable deviations of predicted skin surface temperature were observed.

    “The predicted rectal temperatures by using Eqs. (2) and (4) in two-node model did not significantly differ from the value by using Eq. (12), while noticeable deviations of predicted skin surface temperature were observed.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data
    § 3.4. Impact of vasodilatation and pulmonary ventilation rate models on predictions

    Employing Eq. (9) did not reduce the prediction accuracy despite slightly higher prediction of skin temperature.

    “With respect to the vasodilatation model, employing Eq. (9) did not reduce the prediction accuracy despite slightly higher prediction of skin temperature.”
    Quote in the paperSubstantial claim
    • The authors state this as an assumption: The mean body temperature (Tb) used in Eqs. (9) and (11) was assumed to be identical to the body core temperature to facilitate the calculation of the two-node model in this study.
  • May combine two claims.

    Findingown data
    § 3.1. Validation of CFD simulations

    The simulated air speeds along the line near the inlet were in good agreement with measured airspeeds, while relatively larger discrepancies were observed between simulated and measured airspeeds closer to the lower exhaust fan at the height of 0.6 m.

    “The simulated air speeds along the line near the inlet were in good agreement with the measured airspeeds whilst relatively larger discrepancies were observed between simulated and measured airspeeds closer to the lower exhaust fan (at the height of 0.6 m).”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data
    § 2.1.4. Sampling and analysis of data

    The difference between the third and fourth measurements was negligible, so a quasi-steady state was assumed to be reached after 2 h for each test.

    “It was found that the difference between the third and fourth measurements was negligible so a quasisteady state was assumed to be reached after 2 h for each test.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data
    § 3.3. Assessment of the two-node model by using data from experiment a and B

    Prediction of rectal temperatures was in good agreement with measurements for Experiment A, while relatively larger discrepancies in skin temperature were observed.

    “Prediction of rectal temperatures was in good agreement with measurements for Experiment A whilst relatively larger discrepancies in skin temperature were observed comparing to the experimental data.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data
    § 3.3. Assessment of the two-node model by using data from experiment a and B

    The proposed model predicted the temperature difference from body core to skin surface with reasonable accuracy in Experiment B, and the temperature difference decreased with higher ambient air temperature and lower air speed.

    “The proposed model predicted the temperature difference with a reasonable accuracy in Experiment B and the temperature difference decreased with higher ambient air temperature and lower air speed.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Findingnone given
    § 3.2. CHTC models and MRT

    The power coefficient of 0.68 was in the order of those used by Eqs. (2) and (3).

    “The power coefficient of 0.68 was in the order of those used by Eqs. (2) and (3).”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingown data
    § 3.3. Assessment of the two-node model by using data from experiment a and B

    The model better predicted the rectal temperature than skin surface temperature for both Experiments A and B, but notable deviations of skin surface temperatures occurred in Experiment A.

    “Generally, the model better predicted the rectal temperature than skin surface temperature for both Experiments A and B but notable deviations of skin surface temperatures occurred in Experiment A.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Premisereasoning
    § ScienceDirect

    Empirical models can be problematic when applied to another category of pigs because they are derived from measurements in a specified pig building with defined species, body mass, and indoor climate systems, and additional experiments are needed to adjust parametric coefficients.

    “However, empirical models can be problematic because they are derived from measurements conducted in a specified pig building with defined species, animal body mass, indoor climate systems, etc. When they are applied to another category of pigs instead of the experimental pigs, additional experiments are needed to adjust the parametric coefficients accordingly.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).

    Interpretationreasoning
    § ScienceDirect

    Mechanistic mathematical models are expected to be universal irrespective of species.

    “They are therefore expected to be universal irrespective of species.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation
    § ScienceDirect

    Bruce and Clark (1979) and Mount (1977) correlated CHTC to the 0.60th power of local airspeed.

    “For example, the empirical models developed by Bruce and Clark (1979) and by Mount (1977) correlated CHTC to 0.60th power of the local airspeed.”
    Quote in the paperNot a substantial claim0 of 2 sources checked
    • cites Bruce and Clark (1979) source
    • cites Mount (1977) source
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation
    § ScienceDirect

    Li, Rong, and Zhang (2016) found that CHTC for pigs is proportional to the 0.66th power of local airspeed in a virtual wind tunnel.

    “Using the CFD technique, Li, Rong, and Zhang (2016) found that CHTC for pigs is proportional to the 0.66th power of local airspeed in a virtual wind tunnel.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Li, Rong, and Zhang (2016) source
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation
    § ScienceDirect

    Li, Rong, and Zhang (2018) obtained a linear relationship between CHTC and airspeed for a group of pigs in a mechanically ventilated room with two pig pens.

    “Li, Rong, and Zhang (2018) obtained also a linear relationship between CHTC and airspeed for a group of pigs in a mechanically ventilated (sidewall jet supply) room with two pig pens.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Li, Rong, and Zhang (2018) source
  • Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.

    Premisenone given
    § ScienceDirect

    Machine-learning models are not derived based on physical laws, so the mechanisms behind them cannot be illustrated rationally.

    “Also, machine-learning models, similar to empirical models, are not derived based on any physical laws so the mechanisms behind cannot be illustrated rationally.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.

    Study design and conductown data
    § 2.2.1. Computational domain and mesh resolution

    Mesh independence tests showed that the discrepancy between medium and fine mesh was not significantly different, so medium mesh resolution was employed.

    “The simulated results showed that the discrepancy between the medium mesh and fine mesh was not significantly different. Therefore, the medium mesh resolution was employed for the following simulations.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Interpretationreasoning
    § 3.2. CHTC models and MRT

    If MRT was replaced by ambient air temperature, heat exchange via radiation could be overestimated and consequently heat stress suffered by pigs could be underestimated.

    “If MRT was replaced by the ambient air temperature, it was anticipated that heat exchange via radiation could be overestimated and consequently the heat stress suffered by pigs could be then underestimated.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.

    Study design and conductown data
    § 2.2.2. Numerical method and turbulence modelling

    Convergence was assumed to be reached since all residuals were <10^-4 and residuals and monitored points became stable for additional hundreds of iterations.

    “Convergence was assumed to be reached since all the residuals were 10 4 and the residuals and some suitable monitored points became stable for additional hundreds of iterations.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.

    Study design and conductown data
    § 2.1.4. Sampling and analysis of data

    Surface temperatures were not collected successfully in Experiment A due to instrumental problems, so MRT calculation was only conducted for Experiment B.

    “Unfortunately, the surface temperatures were not collected successfully in Experiment A due to instrumental problems, thus the calculation of MRT was only conducted for Experiment B.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Study design and conductnone given
    § 2.1. Experimental measurements

    Animal experimenting protocols and procedures were approved by the Danish National Committee on Animal Experimentation (Protocol number: 2019-15-0201-00278).

    “Animal experimenting protocols and procedures were approved by the Danish National Committee on Animal Experimentation (Protocol number: 2019-15-0201-00278).”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Interpretationreasoning
    § 3.4. Impact of vasodilatation and pulmonary ventilation rate models on predictions

    In Eq. (11), two thresholds Teb and Thb were employed, by which response via the pulmonary ventilation rate of panting was activated at a higher body temperature compared to the normally defined reference core temperature; as a result, panting started when the rectal temperature already increased by 0.5 C, and this delayed reaction reduced the capacity of respiratory heat release and thereby led a

    “In Eq. (11), two thresholds of Teb and Thb were employed, by which response via the pulmonary ventilation rate of panting was activated at a higher body temperature compared to the normally defined reference core temperature. As a result, the panting started when the rectal temperature already increased by 0.5 C. This delayed reaction reduced the capacity of respiratory heat release and thereby”
    Quote in the paperSubstantial claim
    • The authors state this as an assumption: The mean body temperature (Tb) used in Eqs. (9) and (11) was assumed to be identical to the body core temperature to facilitate the calculation of the two-node model in this study.
  • May combine two claims.

    Interpretationown data
    § 4. Conclusions

    The reasonable prediction accuracy and the robustness of predicting rectal temperature confirmed the two-node division and the developed relationships between the increment of core temperature and the increment of the vasodilatation as well as the pulmonary ventilation rate were reasonable.

    “The reasonable prediction accuracy and the robustness of predicting rectal temperature confirmed the two-node division and the developed relationships between the increment of core temperature and the increment of the vasodilatation as well as the pulmonary ventilation rate were reasonable.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Interpretationown data
    § 4. Conclusions

    The proposed model, including the detailed mechanisms of vasodilatation and pulmonary ventilation rate of panting in heat transfer processes, better described the internal heat transfer process and predicted the rectal and skin temperatures with a satisfactory accuracy for different categories of pigs under diverse combinations of environmental conditions.

    “In general, the proposed model, including the detailed mechanisms of vasodilatation and pulmonary ventilation rate of panting in heat transfer processes, better described the internal heat transfer process and predicted the rectal and skin temperatures with a satisfactory accuracy for different categories of pigs under diverse combinations of environmental conditions.”
    Quote in the paperSubstantial claim
    • The authors state this as an assumption: The mean body temperature (Tb) used in Eqs. (9) and (11) was assumed to be identical to the body core temperature to facilitate the calculation of the two-node model in this study.
  • Probably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing). May combine two claims.

    Interpretationnone given
    § 3.6. Assessment of two-node model by a selected case published in literature

    The climate change used to validate empirical models should be strictly adhered to when the empirical models are applied as they might lose their validity when extended.

    “The results are also a reminder that the climate change used to validate empirical models should be strictly adhered to when the empirical models are applied as they might lose their validity when extended.”
    Quote in the paperNot a substantial claim
  • Classified as probably not a substantial claim. May combine two claims.

    Interpretationreasoning
    § 3.6. Assessment of two-node model by a selected case published in literature

    The elevation of skin temperature above 32 C could be a signal that pigs started to suffer heat stress so that the heat stress mitigating system should be activated.

    “This elevation of skin temperature was not described by Eq. (13) and this could be a signal that pigs started to suffer heat stress so that the heat stress mitigating system should be activated.”
    Quote in the paperSubstantial claim
  • Classified as probably not a substantial claim. May combine two claims.

    Interpretationreasoning
    § 3.4. Impact of vasodilatation and pulmonary ventilation rate models on predictions

    The increasing rate of the internal heat transfer coefficients would be significantly restricted when the body core temperature was above the upper threshold Teb; consequently, the internal heat transfer at high ambient temperature would be underestimated and the vital effect of the vasodilatation at extreme heat exposure was therefore overlooked.

    “This could be a concern because the increasing rate of the internal heat transfer coefficients would be significantly restricted when the body core temperature was above the upper threshold Teb . Consequently, the internal heat transfer at high ambient temperature would be underestimated and the vital effect of the vasodilatation at extreme heat exposure was therefore overlooked.”
    Quote in the paperSubstantial claim
    • The authors state this as an assumption: The mean body temperature (Tb) used in Eqs. (9) and (11) was assumed to be identical to the body core temperature to facilitate the calculation of the two-node model in this study.
  • May combine two claims.

    Interpretationreasoning
    § 3.5. Impact of CHTC models and MRT on predictions

    Skin temperature was a less optimal indicator of pig thermal status than core temperature because the prediction accuracy of the rectal temperature was rather robust regardless of the accuracy of the MRT.

    “This phenomenon somewhat suggests that the skin temperature was a less optimal indicator of pig thermal status than core temperature because the prediction accuracy of the rectal temperature was rather robust regardless of the accuracy of the MRT.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Interpretationown data
    § 3.1. Validation of CFD simulations

    The realizable k-ε model could reasonably reproduce the temperature and airspeed profiles and was therefore applied in further simulations.

    “Thus, in general, the deviation of simulated results from the measurements was acceptable, the realizable k e ε model could reasonably reproduce the temperature and airspeed profiles and was therefore applied in further simulations conducted in this study.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Interpretationown data
    § 3.3. Assessment of the two-node model by using data from experiment a and B

    Decoupling the convective heat transfer by vasodilatation from the internal heat transfer was necessary along with the proper modelling of the pulmonary ventilation rate of panting.

    “It is considered that decoupling the convective heat transfer by vasodilatation from the internal heat transfer was necessary along with the proper modelling of the pulmonary ventilation rate of panting.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S2 (checkable). May combine two claims.

    Interpretationnone given
    § 3.4. Impact of vasodilatation and pulmonary ventilation rate models on predictions

    The proposed relationships between the increment of core temperature and the increment of the skin blood flow rate as well as the pulmonary ventilation rate in our study were simpler and more applicable.

    “By contrast, the proposed relationships between the increment of core temperature and the increment of the skin blood flow rate as well as the pulmonary ventilation rate in our study were simpler and more applicable.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Interpretationown data
    § 4. Conclusions

    The uncertainty analysis in terms of CHTCs and MRT verified that the prediction accuracy from the two-node model did not significantly compromise the less accurate inputs, yet it was vital to ensure the quality of the inputs required prior to model operations in high temperature and velocity regions.

    “The uncertainty analysis in terms of CHTCsandMRTverified that the prediction accuracy from the two-node model did not significantly compromise the less accurate inputs, yet it was vital to ensure the quality of the inputs required prior to model operations in high temperature and velocity regions.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.

    Study design and conductnone given
    § 2.1.3. Experimental measurements

    Steady indoor air temperatures were well maintained for most cases, but RH had relatively large deviations from the desired values for cases with RH of 40%.

    “Steady indoor air temperatures were well maintained for most cases, but RH had relatively large deviations from the desired values for cases with RH of 40%.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Interpretationreasoning
    § 3.4. Impact of vasodilatation and pulmonary ventilation rate models on predictions

    The slightly overestimated skin temperature by Eq. (9) might be due to the less detailed mapped correlation between the ambient environment and the vasodilatation process.

    “The slightly overestimated skin temperature by Eq. (9) might be due to the less detailed mapped correlation between the ambient environment and the vasodilatation process, as Eq. (9) was simply formulated with a smooth function by the maximum and minimum values.”
    Quote in the paperNot a substantial claim
    • The authors state this as an assumption: The mean body temperature (Tb) used in Eqs. (9) and (11) was assumed to be identical to the body core temperature to facilitate the calculation of the two-node model in this study.
  • May combine two claims.

    Interpretationown data
    § 3.4. Impact of vasodilatation and pulmonary ventilation rate models on predictions

    Our active modules for vasodilatation and pulmonary ventilation rate of panting modelled the internal heat transfer processes properly.

    “In general, the results suggested that our active modules for vasodilatation and pulmonary ventilation rate of panting modelled the internal heat transfer processes properly.”
    Quote in the paperSubstantial claim
    • The authors state this as an assumption: The mean body temperature (Tb) used in Eqs. (9) and (11) was assumed to be identical to the body core temperature to facilitate the calculation of the two-node model in this study.
  • May combine two claims.

    Premisecitation
    § ScienceDirect

    The radiant heat transfer coefficient reported by Bruce and Clark (1979) was a constant and developed specifically for conditions under the critical temperature.

    “The radiant heat transfer coefficient was used in the calculation, but the one reported by Bruce and Clark (1979) was a constant and developed specifically for conditions under the critical temperature.”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites Bruce and Clark (1979) source
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Study design and conductnone given
    § 2.2.1. Computational domain and mesh resolution

    The pig model accurately mimicked the posture of a lying sow situated exactly beneath the inlet to ensure a similar exposing surface area to the airflow as in practice.

    “The pig model accurately mimicked the posture of a lying sow situated exactly beneath the inlet to ensure a similar exposing surface area to the airflow as in practice.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation
    § Table 5 e Summary of boundary conditions used for validation of CFD simulations.

    According to Condotta et al. (2018), a sow of body mass 301 kg has approximate dimensions of L-D-W ≈ 1.76 m × 0.64 m × 0.48 m.

    “According to Condotta et al. (2018), a sow of body mass 301 kg has approximate dimensions of L -D -W z 1.76 m -0.64 m -0.48 m.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Condotta et al. (2018) source
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation
    § 2.2.4. Convective heat transfer coefficient

    The area-averaged CHTC is sufficient for most engineering problems.

    “Kreith, Manglik, and Bohn (2010) indicated that the areaaveraged CHTC is sufficient for most engineering problems.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites Kreith, Manglik, and Bohn (2010)

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

42 of 42
  • The paper relies on this without support.

    Empirical models normally presume a linear relationship between model inputs and predictions.

    “Empirical models normally presumed a linear relationship between the model inputs and predictions.”
  • The paper relies on this without support.

    Machine-learning models require a large amount of clean historical data and early measurements, and data wrangling and training are time-consuming and computationally expensive.

    “However, it required a large amount of 'clean' historical data and the measurements made at a very early stage. Data wrangling and training processes are also time-consuming and computationally expensive.”
  • The paper relies on this without support.

    CHTC is highly dependent upon room airflow patterns and geometrical features of targeted surfaces, so it might vary significantly under different situations.

    “As CHTC is highly dependent upon the room airflow patterns in buildings and the geometrical features of the targeted surfaces, it might vary significantly under different situations.”
  • The authors state this as an assumption.

    The MRT for Experiment A with fattening pigs was the same as the ambient air temperature.

    “TheMRTforExperiment A with fattening pigs was assumed to be the same as the ambient air temperature in the simulations because some of the wall surface temperatures were lost during the tests.”
  • The authors state this as an assumption.

    Reflection can be neglected because most building materials had high emissivity.

    “As most of the building materials had a high emissivity, it was reasonable to neglect the reflection.”
  • The paper relies on this without support.

    The relative location of four sows did not have a significant impact on view factor calculations because the test room was small.

    “As the test room was small, the relative location of four sows did not have a significant impact on the calculations.”
  • The authors state this as an assumption.

    The sow was in the centre of the floor with a lying down posture.

    “The sow was assumed to be in the centre of the floor with a lying down posture.”
  • The paper relies on this without support.

    The sows did not significantly block the supplied air between groups, so one-fourth of the test room could be modelled.

    “With a vertical air supply, the sows did not significantly block the supplied air between the groups. Therefore, one-fourth of the practical test room which accommodated one sow was modelled in CFD simulation, as shown in Fig. 2 (a).”
  • The authors state this as an assumption.

    The sow body can be simplified as a rectangular hexahedron for view factor calculation.

    “To calculate the view factors, the sow body was simplified as a rectangular hexahedron.”
  • The authors state this as an assumption.

    The mean body temperature (Tb) used in Eqs. (9) and (11) was assumed to be identical to the body core temperature to facilitate the calculation of the two-node model in this study.

    “The mean body temperature ( Tb , C) used in Eqs. (9) and (11) was assumed to be identical to the body core temperature to facilitate the calculation of the two-node model in this study.”
10 of 10

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • Pulmonary ventilation rate has rarely been measured over a wide range of ambient temperatures and has normally been described by relatively simple relationships coupled with ambient environmental conditions in previous studies.

    “However, it has been rarely measured in the experiments over a wide range of ambient temperatures and has normally been described by relatively simple relationships coupled with the ambient environmental conditions in the previous studies (Huang et al., 2021).”

    From A two-node mechanistic thermophysiological model for pigs reared in hot climates – Part 1: Physiological responses and model development (2021) · cites this paper as Huang et al., 2021

    Section 2.4.2 describes simple earlier treatments of panting: one model assumes constant respiratory heat loss across environmental conditions, while another uses a smooth function to estimate pulmonary ventilation rate from body temperature. The paper does not establish that ventilation was rarely measured across a wide range of ambient temperatures, and the cited ventilation-rate function is linked to body temperature rather than directly to ambient conditions. Page numbers are unavailable in our copy. (LLM, conf=0.84)

    Experimental — accuracy not yet measured
  • The exact convective heat transfer coefficient strongly depends upon in-situ factors such as room air patterns, body sizes of pigs, and ventilation systems.

    “However, the exact convective coefficient strongly depends upon the in-situ factors such as room air patterns, body sizes of pigs, and ventilation systems (Huang et al., 2021).”
  • The two-node configuration ensured minimum computational cost, with a typical prediction computing time of about 0.4 s.

    “Firstly, the two-node configurations ensured minimum computational cost. The computing time of a typical prediction was about 0.4 s (Huang et al., 2021).”

    From A two-node mechanistic thermophysiological model for pigs reared in hot climates – Part 1: Physiological responses and model development (2021) · cites this paper as Huang et al., 2021

    Section 2.4 says the two-node model was implemented in Python and assesses prediction accuracy, but it does not report computational cost or prediction time. Searches for “0.4 s,” “computing time,” and computational cost found no passage supporting either the minimum-cost assertion or the stated runtime. (LLM, conf=0.72)

    Experimental — accuracy not yet measured

Cites

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2 of the 41 references couldn’t be matched to a known paper.

Cited by

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Authors
Huang, T., Rong, L., Zhang, G., Brandt, P., Bjerg, B., Pedersen, P., & Granath, S. W. L.
Affiliations
  • Aarhus University (DK)
  • University of Copenhagen (DK)
  • Knowledge Centre for Agriculture (DK)
Venue
Biosystems Engineering
Publisher
Elsevier BV
Published
2021-12
Volume
212
Pages
318-335
ISSN
1537-5110 (ISSN-L)
OpenAlex
W3199522928
Cited by
7
References
41
Citations by year
2026: 1 · 2025: 1 · 2022: 5
FWCI
0.84
Type
journal article
Language
en
Open access
Locations
  • Biosystems Engineering (publishedVersion)
  • Research at the University of Copenhagen (University of Copenhagen) (publishedVersion)
  • Scopus (Elsevier) (submittedVersion, cc-by-nc-nd)
Funders
Innovationsfonden (8055-00020B)
Topics
  • Life Sciences › Agricultural and Biological Sciences › Animal Science and Zoology › Effects of Environmental Stressors on Livestock
  • Health Sciences › Medicine › Physiology › Thermoregulation and physiological responses
  • Physical Sciences › Engineering › Building and Construction › Building Energy and Comfort Optimization
Keywords
pigs, heat stress, gestating sows, fattening pigs, convective heat transfer coefficient, air velocity, panting, vasodilation, rectal temperature, skin temperature, mean radiant temperature, computational fluid dynamics, model evaluation, hot climate

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Claims read by deepseek-v4.1-flash under definition version 3 (extract-v3) on 2026-10-11.

Classified by jev-1.13-20260917 (gold-guideline-v0.2) on 2026-10-11.

Cited sources are checked by gpt-6-sol.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

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