the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
A model of the withinpopulation variability of budburst in forest trees
Abstract. Spring phenology is a key indicator of temperate and boreal ecosystems’ response to climate change. To date, most phenological studies have analyzed the mean date of budburst in tree populations while overlooking the large variability of budburst among individual trees. The consequences of neglecting the withinpopulation variability (WPV) of budburst when projecting the dynamics of tree communities are unknown. Here, we develop the first model designed to simulate the WPV of budburst in tree populations. We calibrated and evaluated the model on 48,442 budburst observations collected between 2000 and 2022 in three major temperate deciduous trees, namely, hornbeam (Carpinus betulus), oak (Quercus petraea) and chestnut (Castanea sativa). The WPV model received support for all three species, with a root mean square error of 5.6 ± 0.3 days. Retrospective simulations over 1961–2022 indicated earlier budburst as a consequence of ongoing climate warming. However, simulations revealed no significant change for the duration of budburst (DurBB, i.e., the time interval from BP20 to BP80, which respectively represent the date when 20 % and 80 % of trees in a population have reached budburst), due to a lack of significant temperature increase during DurBB in the past. This work can serve as a basis for the development of models targeting intrapopulation variability of other functional traits, which is of increasing interest in the context of climate change.

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RC1: 'Comment on egusphere20231075', Marc Peaucelle, 24 Aug 2023
Summary:
In this study, Lin and coauthors developed a new phenology model to simulate the withinpopulation variability of budburst in tree populations. Their model was calibrated and evaluated on 3 species and two French sites over 2000 2022. Model simulations show good agreement with observations, both in simulating the average budburst date as well as the duration of budburst. The authors applied their model over 19612022 which simulated earlier budburst with climate warming, a result which is consistent with observations and current knowledge. Same simulations did not show significant evolution of the duration of budburst due to the lack of significant temperature increase during budburst.
Major comments:
The authors provide an interesting study and a new solution to address within population variability. Overall, the manuscript is clear and the methodology is appropriate. Results are well discussed in the light of the current knowledge. I only have some comments regarding the methodology and analyses that could strengthen the clarity and robustness of the analysis:
1) The way the model was calibrated is unclear. At L. 205, the authors mentioned a calibration of model parameters by minimizing RMSE_{tot}. First, the optimization algorithm is not described here. I suggest the authors to describe that part (e.g. was it done with a gradient approach? Which package was used for that task? How a priori set of parameters were defined? How possible equifinality was handled?). Second, I believe there is a problem with the definition of RMSE from eq. 12 : RMSE_{tot} = RMSE_{BP} + RMSE_{DOY . }The authors sum two metrics with different units (RMSE_{BP} is in %, RMSE_{DOY} in days) which, as it is currently described, is wrong. Apart from the unit problem, minimizing a summed RMSE does not seem to be the best approach. If I understand, the goal here is to minimize both RMSE_{BP} and RMSE_{DOY. }However, the same minimum RMSE_{tot }can be achieved with multiple combinations of RMSE_{BP} and RMSE_{DOY. }I suggest the authors to have a multicriteria optimization instead of trying to minimize a combined metrics.
2) To continue with the methodology, I wonder why the authors considered the JanMay temperature to compute the sensitivity? It means that they account for extra temperature for early budburst compared to late budburst, which creates biases in the analysis. I would suggest the authors to considers the preseason temperature in order to avoid this bias (for example the average temperature of the month preceding budburst).
3) The authors hypothesized that F* follows a normal distribution (L. 274, L. 329) and try to validate that hypothesis with indirect comparisons to BP (%) in Fig. 5. This is a key aspect of their work and I believe that the distribution of F* can be directly extracted from observations by computing F* for each observation. Having the “observed” distribution in F* would clearly strengthen the results and the discussion.
4) To continue with F*, the authors discuss L. 336339, that the variability in the timing of budburst can result from the genetic diversity and microclimate. Following my previous suggestion regarding the computation of “observed” F* for each observation, looking at the evolution of F* for each individual could help in discussing that aspect. If the data allow it, showing if the same trees are always early/late within the population, or if it changes from year to year along with F* could help in quantifying that genetic vs. microclimate variability and provide some answers here.
5) It seems that the model is less performant for Castanea (Fig 5c and 7b) compared to other species. Is it linked to that null g parameter? DurBB seems to be well captured for the two other species and not Castanea, what could explain the variability in durBB then? Is it only linked to differences in F* distribution? or extreme temperature? Also the authors discussed the distribution in F*, could we imagine the same distribution for CCrit and what would it imply? Discussing these points could clarify the key message of the manuscript.
6) Finally, it would be very helpful to provide the scripts that were used to process the data, generate the analysis and figures for reproducibility of the results. The script currently archived on Zenodo provides the key functions to run the model but needs substantial effort to reproduce the results.
I hope these comments will help the authors in improving their nice manuscript.
Best regards,
Marc Peaucelle
Citation: https://doi.org/10.5194/egusphere20231075RC1 
AC1: 'Comment on egusphere20231075', Jianhong Lin, 19 Oct 2023
We thank both Dr Peaucelle and Pr Fu for their constructive comments, that helped us producing an improved version of the manuscript. We mentioned their contribution in the “acknowledgements” section of the manuscript (L. 471472).
In the following response, our answers to reviewers appear in blue. The modifications made in the new version of the manuscript are highlighted in red, and duly referenced here with line number identification.
We hope the modifications we made to the manuscript will meet the reviewers’ approval.
Summary:
In this study, Lin and coauthors developed a new phenology model to simulate the withinpopulation variability of budburst in tree populations. Their model was calibrated and evaluated on 3 species and two French sites over 2000 2022. Model simulations show good agreement with observations, both in simulating the average budburst date as well as the duration of budburst. The authors applied their model over 19612022 which simulated earlier budburst with climate warming, a result which is consistent with observations and current knowledge. Same simulations did not show significant evolution of the duration of budburst due to the lack of significant temperature increase during budburst.
Major comments:
The authors provide an interesting study and a new solution to address within population variability. Overall, the manuscript is clear and the methodology is appropriate. Results are well discussed in the light of the current knowledge. I only have some comments regarding the methodology and analyses that could strengthen the clarity and robustness of the analysis:
We thank Dr Peaucelle for his overall support for the manuscript, and for his detailed and constructive comments.
1) The way the model was calibrated is unclear. At L. 205, the authors mentioned a calibration of model parameters by minimizing RMSE_{tot}. First, the optimization algorithm is not described here. I suggest the authors to describe that part (e.g. was it done with a gradient approach? Which package was used for that task? How a priori set of parameters were defined? How possible equifinality was handled?). Second, I believe there is a problem with the definition of RMSE from eq. 12 : RMSE_{tot} = RMSE_{BP} + RMSE_{DOY . }The authors sum two metrics with different units (RMSE_{BP} is in %, RMSE_{DOY} in days) which, as it is currently described, is wrong. Apart from the unit problem, minimizing a summed RMSE does not seem to be the best approach. If I understand, the goal here is to minimize both RMSE_{BP} and RMSE_{DOY}_{. }However, the same minimum RMSE_{tot }can be achieved with multiple combinations of RMSE_{BP} and RMSE_{DOY. }I suggest the authors to have a multicriteria optimization instead of trying to minimize a combined metrics.
A1: We thank Dr Peaucelle for this suggestion. First, we have added the description about the optimization algorithm and the calibration procedure at L.208211.
Our approach of using a multiobjective aggregate cost function is similar to approaches published earlier in the literature (e.g., Richardson et al. 2010, Keenan et al. 2011), now duly cited in the main text (L. 207). We do agree that this approach can suffer from the fact that the same minimum RMSE_{tot }can be achieved with multiple combinations of RMSE_{BP} and RMSE_{DOY}. For instance, the minimum RMSE_{tot} can be achieved with low RMSE_{BP} and high RMSE_{DoY}, or vice versa. We produced one supplementary figure and table to assess this. Figure S4 shows the relation between RMSE_{tot} and RMSE_{BP}/RMSE_{DOY}. Table S2 shows the difference in prediction accuracy over one dimension (RMSE_{BP} or RMSE_{DOY}) which is caused by using RMSE_{tot}. Using RMSE_{tot} instead of RMSE_{BP} or RMSE_{DoY} yielded very similar results, with differences of less than 1% or 1 day when using RMSE_{tot} instead of RMSE_{BP} or RMSE_{DoY}, respectively.
2) To continue with the methodology, I wonder why the authors considered the JanMay temperature to compute the sensitivity? It means that they account for extra temperature for early budburst compared to late budburst, which creates biases in the analysis. I would suggest the authors to considers the preseason temperature in order to avoid this bias (for example the average temperature of the month preceding budburst).
A2: We thank Dr Peaucelle for pointing out this question. We selected the JanMay temperature because we aimed at comparing the temperature sensitivity of budburst in our dataset with the literature (we pinpoint here the work of Vitasse et al., 2009, who compared the sensitivity of budburst to temperature among populations in sessile oak using this period of time as a reference). Please see L. 409412.
We do agree with Dr Peaucelle that considering preseason temperature is a popular approach in the literature. Instead of the onemonth period proposed by Dr Peaucelle, we calculated the budburst sensitivity to preseason temperature considering a fourmonth period, that echoes the about fourmonth duration of the sequence from dormancy release to ontogenetic growth, as predicted by our WPV model. We added those results as a supplementary table (Table S4). The budburst sensitivity to temperatures are, as expected, always negative and significant (compare values in Table S4 and Fig. 6).
3) The authors hypothesized that F* follows a normal distribution (L. 274, L. 329) and try to validate that hypothesis with indirect comparisons to BP (%) in Fig. 5. This is a key aspect of their work and I believe that the distribution of F* can be directly extracted from observations by computing F* for each observation. Having the “observed” distribution in F* would clearly strengthen the results and the discussion.
A3: We thank Fr Peaucelle for this suggestion. In fact, those “observed” distributions appear in the original manuscript, in Fig.5a, d, g. The black points and error bars represent the forcing accumulation required to reach a given budburst percentage in observed data (average across years ± one standard deviation), obtained by inference (i.e., calculating the F* “observed” when reaching a given value of budburst percent, with the other model parameters set at their calibrated value). Indeed, the true “observed” distributions of F* cannot be measured directly since F* depends on the value of the other model parameters. The red curves in Fig.5a, d, g represent a sigmoid function fitted to the black dots, and we also produced its first derivative in Fig.5b, e, h. As stated in the manuscript, “The distributions of F* compared well to the actual distribution of forcing accumulation established from observations (Fig. 5b, e, h), validating the choice of the normal distribution. However, the modelled distribution did not overlap exactly the distribution established from observed data, because the distribution of observations along the BP scale was uneven (Fig. 5c, f, i)” (L. 295298).
4) To continue with F*, the authors discuss L. 336339, that the variability in the timing of budburst can result from the genetic diversity and microclimate. Following my previous suggestion regarding the computation of “observed” F* for each observation, looking at the evolution of F* for each individual could help in discussing that aspect. If the data allow it, showing if the same trees are always early/late within the population, or if it changes from year to year along with F* could help in quantifying that genetic vs. microclimate variability and provide some answers here.
A4: We thank Dr Peaucelle for this excellent suggestion. In fact, most of the observations from the Orsay populations were done on tagged individuals. We produced one figure showing the date of budburst and forcing accumulation in different years at tree scale in Orsay and discussed in L.363365 (Fig. S7). This figure proves that tree individuals have a “phenological identity”, i.e., maintain their phenological rank in the population, owing to underlying genetic, epigenetic and/or environmental differences among them.
5) It seems that the model is less performant for Castanea (Fig 5c and 7b) compared to other species. Is it linked to that null g parameter? DurBB seems to be well captured for the two other species and not Castanea, what could explain the variability in durBB then? Is it only linked to differences in F* distribution? or extreme temperature? Also the authors discussed the distribution in F*, could we imagine the same distribution for CCrit and what would it imply? Discussing these points could clarify the key message of the manuscript.
A5: We thank Dr Peaucelle for this comment. We do agree that the performance of model for Castanea is not as good as for the other two species when considering Fig. 5c and 7b. However, we would like to remember here that there are several possibilities. It should be noted our model only considered the effect of temperature. In fact, other environmental factors (e.g., photoperiod and soil water content) also can affect spring budburst. The model maybe improved including these factors. Because Castanea is latest species among these three species. Observation of budburst for Castanea is harder than for other two species. Because observation will be obstructed/affected by the crowns of other trees during observation for Castanea.
Contrary to Dr Peaucelle’s hypothesis, the fact that the model is not as accurate for Castanea as for the other species does not stem from g being null. Null g parameter means there is no effect of prevailing temperature on ontogenetic competence (Co). We have tested the model performance with this effect of prevailing temperature on Co and without this effect for Castanea. The model without this effect is better.
We do agree with that the prediction for DurBB for Castanea is not as good as that for other two species. The original reason maybe the accuracy of observation for Castanea. Moreover, we did not have the exact records for the start (BP20) and end (BP80) of budburst in the population. Thus, the date of BP20 or BP80 were calculated using the nearest two data (one is below BP20 or BP80, another is above BP20 or BP80) through interpolation (e.g., 15 % budburst percent is on DoY 80 and 25 % budburst percent is on DoY 84. We can obtain the date of BP20 by interpolation, that is DoY 82). The interannual variability of DurBB is mainly caused by temperature, which is reproduced by our model. Our model is temperaturesensitive, which can simulate the DurBB based on different spring temperature scenarios. For example, if there is a sudden warm in early spring, the start of budburst in the population will be early, leading to larger DurBB. Or if there is a sudden cold in early spring, the situation will be the opposite. We have made a corresponding modification at L. 421422.
We do agree that other parameters with same distribution are other choices. In fact, apart from F*, we have tried this method for the temperature threshold of forcing accumulation (T_{b}), the temperature threshold of chilling accumulation (T_{c}) and the requirement of chilling accumulation (Ccrit) (see L. 377380). The performance of model which assume F* is normal distribution is best. And at present, there are some papers which have already shown the difference of budburst date between individuals by calculating forcing accumulation (see L. 8285).
6) Finally, it would be very helpful to provide the scripts that were used to process the data, generate the analysis and figures for reproducibility of the results. The script currently archived on Zenodo provides the key functions to run the model but needs substantial effort to reproduce the results.
A6: We thank for this suggestion. We have updated the code in order to provide more details. And we are pleased to answer any questions for the code or for the method of analysis.
I hope these comments will help the authors in improving their nice manuscript.
Best regards,
Marc Peaucelle
References cited:
Keenan, T. F., Carbone, M. S., Reichstein, M., & Richardson, A. D. (2011). The model–data fusion pitfall: assuming certainty in an uncertain world. Oecologia, 167, 587597.
Richardson, A. D., Williams, M., Hollinger, D. Y., Moore, D. J., Dail, D. B., Davidson, E. A., ... & Savage, K. (2010). Estimating parameters of a forest ecosystem C model with measurements of stocks and fluxes as joint constraints. Oecologia, 164, 2540.
General comments
The spring budburst in plants exhibits sensitivity to climate change. In this manuscript, the authors built the withinpopulation variability (WPV) model based on a twophase parallel model framework, to simulate the budburst in tree populations. Model performance of the WPV model has improved, rendering this research highly significant. I do like this study and it would be a nice contribution to the phenology modeling, and I have some concerns regarding the structure of the manuscript. Firstly, the introduction section need to be improved by adding the mechanisms of the dormancy release process and the introduction of the original model. Secondly, it is recommended to make appropriate deletions and adjustments to make the logic clearer for the whole manuscript, especially the content related to WPV in the introduction section. Additionally, the discussion section suggests adding speciesspecific effects on budburst and better explaining the reasons for considering intrapopulation variability to predict budburst. Therefore, a major revision is recommended.
We thank Dr Fu for his thorough review and detailed comments of our article. According to his suggestion, we modified the introduction (see L. 5865, 7076) and discussion (see L. 412415, 428431) in order to improve the logic of the text.
Specific comments
1. L2830: Moisture (precipitation or air humidity) is also an important factor affecting the timing of leaf phenology in spring.
A1: We do agree with this suggestion. We have added the sentence to show the effect of moisture on timing of leaf phenology in spring. Please see L3033.
2. L5567: These two paragraphs could be merged.
A2: We thank for this suggestion and have modified this part. Please see L.5865.
3. L6267: ‘the increasing warming rate during the budburst period’? Note that in the cited reference it is: ‘slower warming rates during the budburst period’. Please carefully review and correct the citations throughout the manuscript to ensure they are accurately cited.
A3: We thank for pointing this mistake. This part of content has been removed. And we have checked the references throughout the manuscript.
4. L137140: Why is ‘budburst percent’ in italics? Also, 'erf' should be in italics in the formula.
A4: We thank for pointing this question. We have modified this mistake. Please see L.140142.
5. L155156: What does T(t) mean? Symbols that appear for the first time should be interpreted clearly.
A5: We thank for pointing this question. We have modified this mistake. Please see L.158.
6. L172209: For the performance of the MPV model, please add R and p values to further verify the model accuracy. Also, what does ‘ith’ mean in the L209.
A6: We thank for this suggestion. We have added the description of using R and p value to evaluate the model. “ith” refers to the observation number i of a series of N observations. Please see L.220222.
7. L251258: Please add the values of R and p to the model performance and explain them.
A7: We thank for this suggestion. We have added R and p value to evaluate the model in the results. Please see L.268273.
8. L378386: Add some discussion about the effects of changes in BP20, BP80, and DurBB on the temporal niche, coexistence mechanism, and carbon sink capacity of tree populations.
A8: We thank for this suggestion. We have the discussion about the effect of changes in BP20, BP80 and DurBB. Please see L.412415, 428431.
9. L413414: Other environmental factors affecting budburst should also include the interaction between environmental factors.
A9: We thank for this suggestion and have added the sentence to describe the effect of other environmental factors (e.g., moisture) on budburst. Please see L.442448.
10. Table 1: Please correct ‘48491° N’.
A10: We thank for pointing this mistake. We have modified this mistake.
11. Fig. 1: ‘Bud burst’ in the title of the ordinate? Budburst.
A11: We thank for pointing this mistake. We have modified this mistake.
12. Fig. 2 and 3: Please add R and p values.
A12: We thank for this suggestion and have added R and p values in Fig. 2 and 3.
13. Fig. 6: What does each label represent? Please specify.
A13: We thank for this question and have specified the meaning of labels in the figure title.
14. Fig. 7: The legend is missing. Also, what does each label represent? Please specify.
A14: We thank for this question and have specified the meaning of labels in the figure title.

AC1: 'Comment on egusphere20231075', Jianhong Lin, 19 Oct 2023

RC2: 'Comment on egusphere20231075', Yongshuo H. Fu, 18 Sep 2023
General comments
The spring budburst in plants exhibits sensitivity to climate change. In this manuscript, the authors built the withinpopulation variability (WPV) model based on a twophase parallel model framework, to simulate the budburst in tree populations. Model performance of the WPV model has improved, rendering this research highly significant. I do like this study and it would be a nice contribution to the phenology modeling, and I have some concerns regarding the structure of the manuscript. Firstly, the introduction section need to be improved by adding the mechanisms of the dormancy release process and the introduction of the original model. Secondly, it is recommended to make appropriate deletions and adjustments to make the logic clearer for the whole manuscript, especially the content related to WPV in the introduction section. Additionally, the discussion section suggests adding speciesspecific effects on budburst and better explaining the reasons for considering intrapopulation variability to predict budburst. Therefore, a major revision is recommended.
Specific comments
 L2830: Moisture (precipitation or air humidity) is also an important factor affecting the timing of leaf phenology in spring.
 L5567: These two paragraphs could be merged.
 L6267: ‘the increasing warming rate during the budburst period’? Note that in the cited reference it is: ‘slower warming rates during the budburst period’. Please carefully review and correct the citations throughout the manuscript to ensure they are accurately cited.
 L137140: Why is ‘budburst percent’ in italics? Also, 'erf' should be in italics in the formula.
 L155156: What does T(t) mean? Symbols that appear for the first time should be interpreted clearly.
 L172209: For the performance of the MPV model, please add R and p values to further verify the model accuracy. Also, what does ‘ith’ mean in the L209.
 L251258: Please add the values of R and p to the model performance and explain them.
 L378386: Add some discussion about the effects of changes in BP20, BP80, and DurBB on the temporal niche, coexistence mechanism, and carbon sink capacity of tree populations.
 L413414: Other environmental factors affecting budburst should also include the interaction between environmental factors.
 Table 1: Please correct ‘48491° N’.
 1: ‘Bud burst’ in the title of the ordinate? Budburst.
 2 and Fig. 3: Please add R and p values.
 6: What does each label represent? Please specify.
 7: The legend is missing. Also, what does each label represent? Please specify.
Citation: https://doi.org/10.5194/egusphere20231075RC2 
AC1: 'Comment on egusphere20231075', Jianhong Lin, 19 Oct 2023
We thank both Dr Peaucelle and Pr Fu for their constructive comments, that helped us producing an improved version of the manuscript. We mentioned their contribution in the “acknowledgements” section of the manuscript (L. 471472).
In the following response, our answers to reviewers appear in blue. The modifications made in the new version of the manuscript are highlighted in red, and duly referenced here with line number identification.
We hope the modifications we made to the manuscript will meet the reviewers’ approval.
Summary:
In this study, Lin and coauthors developed a new phenology model to simulate the withinpopulation variability of budburst in tree populations. Their model was calibrated and evaluated on 3 species and two French sites over 2000 2022. Model simulations show good agreement with observations, both in simulating the average budburst date as well as the duration of budburst. The authors applied their model over 19612022 which simulated earlier budburst with climate warming, a result which is consistent with observations and current knowledge. Same simulations did not show significant evolution of the duration of budburst due to the lack of significant temperature increase during budburst.
Major comments:
The authors provide an interesting study and a new solution to address within population variability. Overall, the manuscript is clear and the methodology is appropriate. Results are well discussed in the light of the current knowledge. I only have some comments regarding the methodology and analyses that could strengthen the clarity and robustness of the analysis:
We thank Dr Peaucelle for his overall support for the manuscript, and for his detailed and constructive comments.
1) The way the model was calibrated is unclear. At L. 205, the authors mentioned a calibration of model parameters by minimizing RMSE_{tot}. First, the optimization algorithm is not described here. I suggest the authors to describe that part (e.g. was it done with a gradient approach? Which package was used for that task? How a priori set of parameters were defined? How possible equifinality was handled?). Second, I believe there is a problem with the definition of RMSE from eq. 12 : RMSE_{tot} = RMSE_{BP} + RMSE_{DOY . }The authors sum two metrics with different units (RMSE_{BP} is in %, RMSE_{DOY} in days) which, as it is currently described, is wrong. Apart from the unit problem, minimizing a summed RMSE does not seem to be the best approach. If I understand, the goal here is to minimize both RMSE_{BP} and RMSE_{DOY}_{. }However, the same minimum RMSE_{tot }can be achieved with multiple combinations of RMSE_{BP} and RMSE_{DOY. }I suggest the authors to have a multicriteria optimization instead of trying to minimize a combined metrics.
A1: We thank Dr Peaucelle for this suggestion. First, we have added the description about the optimization algorithm and the calibration procedure at L.208211.
Our approach of using a multiobjective aggregate cost function is similar to approaches published earlier in the literature (e.g., Richardson et al. 2010, Keenan et al. 2011), now duly cited in the main text (L. 207). We do agree that this approach can suffer from the fact that the same minimum RMSE_{tot }can be achieved with multiple combinations of RMSE_{BP} and RMSE_{DOY}. For instance, the minimum RMSE_{tot} can be achieved with low RMSE_{BP} and high RMSE_{DoY}, or vice versa. We produced one supplementary figure and table to assess this. Figure S4 shows the relation between RMSE_{tot} and RMSE_{BP}/RMSE_{DOY}. Table S2 shows the difference in prediction accuracy over one dimension (RMSE_{BP} or RMSE_{DOY}) which is caused by using RMSE_{tot}. Using RMSE_{tot} instead of RMSE_{BP} or RMSE_{DoY} yielded very similar results, with differences of less than 1% or 1 day when using RMSE_{tot} instead of RMSE_{BP} or RMSE_{DoY}, respectively.
2) To continue with the methodology, I wonder why the authors considered the JanMay temperature to compute the sensitivity? It means that they account for extra temperature for early budburst compared to late budburst, which creates biases in the analysis. I would suggest the authors to considers the preseason temperature in order to avoid this bias (for example the average temperature of the month preceding budburst).
A2: We thank Dr Peaucelle for pointing out this question. We selected the JanMay temperature because we aimed at comparing the temperature sensitivity of budburst in our dataset with the literature (we pinpoint here the work of Vitasse et al., 2009, who compared the sensitivity of budburst to temperature among populations in sessile oak using this period of time as a reference). Please see L. 409412.
We do agree with Dr Peaucelle that considering preseason temperature is a popular approach in the literature. Instead of the onemonth period proposed by Dr Peaucelle, we calculated the budburst sensitivity to preseason temperature considering a fourmonth period, that echoes the about fourmonth duration of the sequence from dormancy release to ontogenetic growth, as predicted by our WPV model. We added those results as a supplementary table (Table S4). The budburst sensitivity to temperatures are, as expected, always negative and significant (compare values in Table S4 and Fig. 6).
3) The authors hypothesized that F* follows a normal distribution (L. 274, L. 329) and try to validate that hypothesis with indirect comparisons to BP (%) in Fig. 5. This is a key aspect of their work and I believe that the distribution of F* can be directly extracted from observations by computing F* for each observation. Having the “observed” distribution in F* would clearly strengthen the results and the discussion.
A3: We thank Fr Peaucelle for this suggestion. In fact, those “observed” distributions appear in the original manuscript, in Fig.5a, d, g. The black points and error bars represent the forcing accumulation required to reach a given budburst percentage in observed data (average across years ± one standard deviation), obtained by inference (i.e., calculating the F* “observed” when reaching a given value of budburst percent, with the other model parameters set at their calibrated value). Indeed, the true “observed” distributions of F* cannot be measured directly since F* depends on the value of the other model parameters. The red curves in Fig.5a, d, g represent a sigmoid function fitted to the black dots, and we also produced its first derivative in Fig.5b, e, h. As stated in the manuscript, “The distributions of F* compared well to the actual distribution of forcing accumulation established from observations (Fig. 5b, e, h), validating the choice of the normal distribution. However, the modelled distribution did not overlap exactly the distribution established from observed data, because the distribution of observations along the BP scale was uneven (Fig. 5c, f, i)” (L. 295298).
4) To continue with F*, the authors discuss L. 336339, that the variability in the timing of budburst can result from the genetic diversity and microclimate. Following my previous suggestion regarding the computation of “observed” F* for each observation, looking at the evolution of F* for each individual could help in discussing that aspect. If the data allow it, showing if the same trees are always early/late within the population, or if it changes from year to year along with F* could help in quantifying that genetic vs. microclimate variability and provide some answers here.
A4: We thank Dr Peaucelle for this excellent suggestion. In fact, most of the observations from the Orsay populations were done on tagged individuals. We produced one figure showing the date of budburst and forcing accumulation in different years at tree scale in Orsay and discussed in L.363365 (Fig. S7). This figure proves that tree individuals have a “phenological identity”, i.e., maintain their phenological rank in the population, owing to underlying genetic, epigenetic and/or environmental differences among them.
5) It seems that the model is less performant for Castanea (Fig 5c and 7b) compared to other species. Is it linked to that null g parameter? DurBB seems to be well captured for the two other species and not Castanea, what could explain the variability in durBB then? Is it only linked to differences in F* distribution? or extreme temperature? Also the authors discussed the distribution in F*, could we imagine the same distribution for CCrit and what would it imply? Discussing these points could clarify the key message of the manuscript.
A5: We thank Dr Peaucelle for this comment. We do agree that the performance of model for Castanea is not as good as for the other two species when considering Fig. 5c and 7b. However, we would like to remember here that there are several possibilities. It should be noted our model only considered the effect of temperature. In fact, other environmental factors (e.g., photoperiod and soil water content) also can affect spring budburst. The model maybe improved including these factors. Because Castanea is latest species among these three species. Observation of budburst for Castanea is harder than for other two species. Because observation will be obstructed/affected by the crowns of other trees during observation for Castanea.
Contrary to Dr Peaucelle’s hypothesis, the fact that the model is not as accurate for Castanea as for the other species does not stem from g being null. Null g parameter means there is no effect of prevailing temperature on ontogenetic competence (Co). We have tested the model performance with this effect of prevailing temperature on Co and without this effect for Castanea. The model without this effect is better.
We do agree with that the prediction for DurBB for Castanea is not as good as that for other two species. The original reason maybe the accuracy of observation for Castanea. Moreover, we did not have the exact records for the start (BP20) and end (BP80) of budburst in the population. Thus, the date of BP20 or BP80 were calculated using the nearest two data (one is below BP20 or BP80, another is above BP20 or BP80) through interpolation (e.g., 15 % budburst percent is on DoY 80 and 25 % budburst percent is on DoY 84. We can obtain the date of BP20 by interpolation, that is DoY 82). The interannual variability of DurBB is mainly caused by temperature, which is reproduced by our model. Our model is temperaturesensitive, which can simulate the DurBB based on different spring temperature scenarios. For example, if there is a sudden warm in early spring, the start of budburst in the population will be early, leading to larger DurBB. Or if there is a sudden cold in early spring, the situation will be the opposite. We have made a corresponding modification at L. 421422.
We do agree that other parameters with same distribution are other choices. In fact, apart from F*, we have tried this method for the temperature threshold of forcing accumulation (T_{b}), the temperature threshold of chilling accumulation (T_{c}) and the requirement of chilling accumulation (Ccrit) (see L. 377380). The performance of model which assume F* is normal distribution is best. And at present, there are some papers which have already shown the difference of budburst date between individuals by calculating forcing accumulation (see L. 8285).
6) Finally, it would be very helpful to provide the scripts that were used to process the data, generate the analysis and figures for reproducibility of the results. The script currently archived on Zenodo provides the key functions to run the model but needs substantial effort to reproduce the results.
A6: We thank for this suggestion. We have updated the code in order to provide more details. And we are pleased to answer any questions for the code or for the method of analysis.
I hope these comments will help the authors in improving their nice manuscript.
Best regards,
Marc Peaucelle
References cited:
Keenan, T. F., Carbone, M. S., Reichstein, M., & Richardson, A. D. (2011). The model–data fusion pitfall: assuming certainty in an uncertain world. Oecologia, 167, 587597.
Richardson, A. D., Williams, M., Hollinger, D. Y., Moore, D. J., Dail, D. B., Davidson, E. A., ... & Savage, K. (2010). Estimating parameters of a forest ecosystem C model with measurements of stocks and fluxes as joint constraints. Oecologia, 164, 2540.
General comments
The spring budburst in plants exhibits sensitivity to climate change. In this manuscript, the authors built the withinpopulation variability (WPV) model based on a twophase parallel model framework, to simulate the budburst in tree populations. Model performance of the WPV model has improved, rendering this research highly significant. I do like this study and it would be a nice contribution to the phenology modeling, and I have some concerns regarding the structure of the manuscript. Firstly, the introduction section need to be improved by adding the mechanisms of the dormancy release process and the introduction of the original model. Secondly, it is recommended to make appropriate deletions and adjustments to make the logic clearer for the whole manuscript, especially the content related to WPV in the introduction section. Additionally, the discussion section suggests adding speciesspecific effects on budburst and better explaining the reasons for considering intrapopulation variability to predict budburst. Therefore, a major revision is recommended.
We thank Dr Fu for his thorough review and detailed comments of our article. According to his suggestion, we modified the introduction (see L. 5865, 7076) and discussion (see L. 412415, 428431) in order to improve the logic of the text.
Specific comments
1. L2830: Moisture (precipitation or air humidity) is also an important factor affecting the timing of leaf phenology in spring.
A1: We do agree with this suggestion. We have added the sentence to show the effect of moisture on timing of leaf phenology in spring. Please see L3033.
2. L5567: These two paragraphs could be merged.
A2: We thank for this suggestion and have modified this part. Please see L.5865.
3. L6267: ‘the increasing warming rate during the budburst period’? Note that in the cited reference it is: ‘slower warming rates during the budburst period’. Please carefully review and correct the citations throughout the manuscript to ensure they are accurately cited.
A3: We thank for pointing this mistake. This part of content has been removed. And we have checked the references throughout the manuscript.
4. L137140: Why is ‘budburst percent’ in italics? Also, 'erf' should be in italics in the formula.
A4: We thank for pointing this question. We have modified this mistake. Please see L.140142.
5. L155156: What does T(t) mean? Symbols that appear for the first time should be interpreted clearly.
A5: We thank for pointing this question. We have modified this mistake. Please see L.158.
6. L172209: For the performance of the MPV model, please add R and p values to further verify the model accuracy. Also, what does ‘ith’ mean in the L209.
A6: We thank for this suggestion. We have added the description of using R and p value to evaluate the model. “ith” refers to the observation number i of a series of N observations. Please see L.220222.
7. L251258: Please add the values of R and p to the model performance and explain them.
A7: We thank for this suggestion. We have added R and p value to evaluate the model in the results. Please see L.268273.
8. L378386: Add some discussion about the effects of changes in BP20, BP80, and DurBB on the temporal niche, coexistence mechanism, and carbon sink capacity of tree populations.
A8: We thank for this suggestion. We have the discussion about the effect of changes in BP20, BP80 and DurBB. Please see L.412415, 428431.
9. L413414: Other environmental factors affecting budburst should also include the interaction between environmental factors.
A9: We thank for this suggestion and have added the sentence to describe the effect of other environmental factors (e.g., moisture) on budburst. Please see L.442448.
10. Table 1: Please correct ‘48491° N’.
A10: We thank for pointing this mistake. We have modified this mistake.
11. Fig. 1: ‘Bud burst’ in the title of the ordinate? Budburst.
A11: We thank for pointing this mistake. We have modified this mistake.
12. Fig. 2 and 3: Please add R and p values.
A12: We thank for this suggestion and have added R and p values in Fig. 2 and 3.
13. Fig. 6: What does each label represent? Please specify.
A13: We thank for this question and have specified the meaning of labels in the figure title.
14. Fig. 7: The legend is missing. Also, what does each label represent? Please specify.
A14: We thank for this question and have specified the meaning of labels in the figure title.

AC1: 'Comment on egusphere20231075', Jianhong Lin, 19 Oct 2023
We thank both Dr Peaucelle and Pr Fu for their constructive comments, that helped us producing an improved version of the manuscript. We mentioned their contribution in the “acknowledgements” section of the manuscript (L. 471472).
In the following response, our answers to reviewers appear in blue. The modifications made in the new version of the manuscript are highlighted in red, and duly referenced here with line number identification.
We hope the modifications we made to the manuscript will meet the reviewers’ approval.
Summary:
In this study, Lin and coauthors developed a new phenology model to simulate the withinpopulation variability of budburst in tree populations. Their model was calibrated and evaluated on 3 species and two French sites over 2000 2022. Model simulations show good agreement with observations, both in simulating the average budburst date as well as the duration of budburst. The authors applied their model over 19612022 which simulated earlier budburst with climate warming, a result which is consistent with observations and current knowledge. Same simulations did not show significant evolution of the duration of budburst due to the lack of significant temperature increase during budburst.
Major comments:
The authors provide an interesting study and a new solution to address within population variability. Overall, the manuscript is clear and the methodology is appropriate. Results are well discussed in the light of the current knowledge. I only have some comments regarding the methodology and analyses that could strengthen the clarity and robustness of the analysis:
We thank Dr Peaucelle for his overall support for the manuscript, and for his detailed and constructive comments.
1) The way the model was calibrated is unclear. At L. 205, the authors mentioned a calibration of model parameters by minimizing RMSE_{tot}. First, the optimization algorithm is not described here. I suggest the authors to describe that part (e.g. was it done with a gradient approach? Which package was used for that task? How a priori set of parameters were defined? How possible equifinality was handled?). Second, I believe there is a problem with the definition of RMSE from eq. 12 : RMSE_{tot} = RMSE_{BP} + RMSE_{DOY . }The authors sum two metrics with different units (RMSE_{BP} is in %, RMSE_{DOY} in days) which, as it is currently described, is wrong. Apart from the unit problem, minimizing a summed RMSE does not seem to be the best approach. If I understand, the goal here is to minimize both RMSE_{BP} and RMSE_{DOY}_{. }However, the same minimum RMSE_{tot }can be achieved with multiple combinations of RMSE_{BP} and RMSE_{DOY. }I suggest the authors to have a multicriteria optimization instead of trying to minimize a combined metrics.
A1: We thank Dr Peaucelle for this suggestion. First, we have added the description about the optimization algorithm and the calibration procedure at L.208211.
Our approach of using a multiobjective aggregate cost function is similar to approaches published earlier in the literature (e.g., Richardson et al. 2010, Keenan et al. 2011), now duly cited in the main text (L. 207). We do agree that this approach can suffer from the fact that the same minimum RMSE_{tot }can be achieved with multiple combinations of RMSE_{BP} and RMSE_{DOY}. For instance, the minimum RMSE_{tot} can be achieved with low RMSE_{BP} and high RMSE_{DoY}, or vice versa. We produced one supplementary figure and table to assess this. Figure S4 shows the relation between RMSE_{tot} and RMSE_{BP}/RMSE_{DOY}. Table S2 shows the difference in prediction accuracy over one dimension (RMSE_{BP} or RMSE_{DOY}) which is caused by using RMSE_{tot}. Using RMSE_{tot} instead of RMSE_{BP} or RMSE_{DoY} yielded very similar results, with differences of less than 1% or 1 day when using RMSE_{tot} instead of RMSE_{BP} or RMSE_{DoY}, respectively.
2) To continue with the methodology, I wonder why the authors considered the JanMay temperature to compute the sensitivity? It means that they account for extra temperature for early budburst compared to late budburst, which creates biases in the analysis. I would suggest the authors to considers the preseason temperature in order to avoid this bias (for example the average temperature of the month preceding budburst).
A2: We thank Dr Peaucelle for pointing out this question. We selected the JanMay temperature because we aimed at comparing the temperature sensitivity of budburst in our dataset with the literature (we pinpoint here the work of Vitasse et al., 2009, who compared the sensitivity of budburst to temperature among populations in sessile oak using this period of time as a reference). Please see L. 409412.
We do agree with Dr Peaucelle that considering preseason temperature is a popular approach in the literature. Instead of the onemonth period proposed by Dr Peaucelle, we calculated the budburst sensitivity to preseason temperature considering a fourmonth period, that echoes the about fourmonth duration of the sequence from dormancy release to ontogenetic growth, as predicted by our WPV model. We added those results as a supplementary table (Table S4). The budburst sensitivity to temperatures are, as expected, always negative and significant (compare values in Table S4 and Fig. 6).
3) The authors hypothesized that F* follows a normal distribution (L. 274, L. 329) and try to validate that hypothesis with indirect comparisons to BP (%) in Fig. 5. This is a key aspect of their work and I believe that the distribution of F* can be directly extracted from observations by computing F* for each observation. Having the “observed” distribution in F* would clearly strengthen the results and the discussion.
A3: We thank Fr Peaucelle for this suggestion. In fact, those “observed” distributions appear in the original manuscript, in Fig.5a, d, g. The black points and error bars represent the forcing accumulation required to reach a given budburst percentage in observed data (average across years ± one standard deviation), obtained by inference (i.e., calculating the F* “observed” when reaching a given value of budburst percent, with the other model parameters set at their calibrated value). Indeed, the true “observed” distributions of F* cannot be measured directly since F* depends on the value of the other model parameters. The red curves in Fig.5a, d, g represent a sigmoid function fitted to the black dots, and we also produced its first derivative in Fig.5b, e, h. As stated in the manuscript, “The distributions of F* compared well to the actual distribution of forcing accumulation established from observations (Fig. 5b, e, h), validating the choice of the normal distribution. However, the modelled distribution did not overlap exactly the distribution established from observed data, because the distribution of observations along the BP scale was uneven (Fig. 5c, f, i)” (L. 295298).
4) To continue with F*, the authors discuss L. 336339, that the variability in the timing of budburst can result from the genetic diversity and microclimate. Following my previous suggestion regarding the computation of “observed” F* for each observation, looking at the evolution of F* for each individual could help in discussing that aspect. If the data allow it, showing if the same trees are always early/late within the population, or if it changes from year to year along with F* could help in quantifying that genetic vs. microclimate variability and provide some answers here.
A4: We thank Dr Peaucelle for this excellent suggestion. In fact, most of the observations from the Orsay populations were done on tagged individuals. We produced one figure showing the date of budburst and forcing accumulation in different years at tree scale in Orsay and discussed in L.363365 (Fig. S7). This figure proves that tree individuals have a “phenological identity”, i.e., maintain their phenological rank in the population, owing to underlying genetic, epigenetic and/or environmental differences among them.
5) It seems that the model is less performant for Castanea (Fig 5c and 7b) compared to other species. Is it linked to that null g parameter? DurBB seems to be well captured for the two other species and not Castanea, what could explain the variability in durBB then? Is it only linked to differences in F* distribution? or extreme temperature? Also the authors discussed the distribution in F*, could we imagine the same distribution for CCrit and what would it imply? Discussing these points could clarify the key message of the manuscript.
A5: We thank Dr Peaucelle for this comment. We do agree that the performance of model for Castanea is not as good as for the other two species when considering Fig. 5c and 7b. However, we would like to remember here that there are several possibilities. It should be noted our model only considered the effect of temperature. In fact, other environmental factors (e.g., photoperiod and soil water content) also can affect spring budburst. The model maybe improved including these factors. Because Castanea is latest species among these three species. Observation of budburst for Castanea is harder than for other two species. Because observation will be obstructed/affected by the crowns of other trees during observation for Castanea.
Contrary to Dr Peaucelle’s hypothesis, the fact that the model is not as accurate for Castanea as for the other species does not stem from g being null. Null g parameter means there is no effect of prevailing temperature on ontogenetic competence (Co). We have tested the model performance with this effect of prevailing temperature on Co and without this effect for Castanea. The model without this effect is better.
We do agree with that the prediction for DurBB for Castanea is not as good as that for other two species. The original reason maybe the accuracy of observation for Castanea. Moreover, we did not have the exact records for the start (BP20) and end (BP80) of budburst in the population. Thus, the date of BP20 or BP80 were calculated using the nearest two data (one is below BP20 or BP80, another is above BP20 or BP80) through interpolation (e.g., 15 % budburst percent is on DoY 80 and 25 % budburst percent is on DoY 84. We can obtain the date of BP20 by interpolation, that is DoY 82). The interannual variability of DurBB is mainly caused by temperature, which is reproduced by our model. Our model is temperaturesensitive, which can simulate the DurBB based on different spring temperature scenarios. For example, if there is a sudden warm in early spring, the start of budburst in the population will be early, leading to larger DurBB. Or if there is a sudden cold in early spring, the situation will be the opposite. We have made a corresponding modification at L. 421422.
We do agree that other parameters with same distribution are other choices. In fact, apart from F*, we have tried this method for the temperature threshold of forcing accumulation (T_{b}), the temperature threshold of chilling accumulation (T_{c}) and the requirement of chilling accumulation (Ccrit) (see L. 377380). The performance of model which assume F* is normal distribution is best. And at present, there are some papers which have already shown the difference of budburst date between individuals by calculating forcing accumulation (see L. 8285).
6) Finally, it would be very helpful to provide the scripts that were used to process the data, generate the analysis and figures for reproducibility of the results. The script currently archived on Zenodo provides the key functions to run the model but needs substantial effort to reproduce the results.
A6: We thank for this suggestion. We have updated the code in order to provide more details. And we are pleased to answer any questions for the code or for the method of analysis.
I hope these comments will help the authors in improving their nice manuscript.
Best regards,
Marc Peaucelle
References cited:
Keenan, T. F., Carbone, M. S., Reichstein, M., & Richardson, A. D. (2011). The model–data fusion pitfall: assuming certainty in an uncertain world. Oecologia, 167, 587597.
Richardson, A. D., Williams, M., Hollinger, D. Y., Moore, D. J., Dail, D. B., Davidson, E. A., ... & Savage, K. (2010). Estimating parameters of a forest ecosystem C model with measurements of stocks and fluxes as joint constraints. Oecologia, 164, 2540.
General comments
The spring budburst in plants exhibits sensitivity to climate change. In this manuscript, the authors built the withinpopulation variability (WPV) model based on a twophase parallel model framework, to simulate the budburst in tree populations. Model performance of the WPV model has improved, rendering this research highly significant. I do like this study and it would be a nice contribution to the phenology modeling, and I have some concerns regarding the structure of the manuscript. Firstly, the introduction section need to be improved by adding the mechanisms of the dormancy release process and the introduction of the original model. Secondly, it is recommended to make appropriate deletions and adjustments to make the logic clearer for the whole manuscript, especially the content related to WPV in the introduction section. Additionally, the discussion section suggests adding speciesspecific effects on budburst and better explaining the reasons for considering intrapopulation variability to predict budburst. Therefore, a major revision is recommended.
We thank Dr Fu for his thorough review and detailed comments of our article. According to his suggestion, we modified the introduction (see L. 5865, 7076) and discussion (see L. 412415, 428431) in order to improve the logic of the text.
Specific comments
1. L2830: Moisture (precipitation or air humidity) is also an important factor affecting the timing of leaf phenology in spring.
A1: We do agree with this suggestion. We have added the sentence to show the effect of moisture on timing of leaf phenology in spring. Please see L3033.
2. L5567: These two paragraphs could be merged.
A2: We thank for this suggestion and have modified this part. Please see L.5865.
3. L6267: ‘the increasing warming rate during the budburst period’? Note that in the cited reference it is: ‘slower warming rates during the budburst period’. Please carefully review and correct the citations throughout the manuscript to ensure they are accurately cited.
A3: We thank for pointing this mistake. This part of content has been removed. And we have checked the references throughout the manuscript.
4. L137140: Why is ‘budburst percent’ in italics? Also, 'erf' should be in italics in the formula.
A4: We thank for pointing this question. We have modified this mistake. Please see L.140142.
5. L155156: What does T(t) mean? Symbols that appear for the first time should be interpreted clearly.
A5: We thank for pointing this question. We have modified this mistake. Please see L.158.
6. L172209: For the performance of the MPV model, please add R and p values to further verify the model accuracy. Also, what does ‘ith’ mean in the L209.
A6: We thank for this suggestion. We have added the description of using R and p value to evaluate the model. “ith” refers to the observation number i of a series of N observations. Please see L.220222.
7. L251258: Please add the values of R and p to the model performance and explain them.
A7: We thank for this suggestion. We have added R and p value to evaluate the model in the results. Please see L.268273.
8. L378386: Add some discussion about the effects of changes in BP20, BP80, and DurBB on the temporal niche, coexistence mechanism, and carbon sink capacity of tree populations.
A8: We thank for this suggestion. We have the discussion about the effect of changes in BP20, BP80 and DurBB. Please see L.412415, 428431.
9. L413414: Other environmental factors affecting budburst should also include the interaction between environmental factors.
A9: We thank for this suggestion and have added the sentence to describe the effect of other environmental factors (e.g., moisture) on budburst. Please see L.442448.
10. Table 1: Please correct ‘48491° N’.
A10: We thank for pointing this mistake. We have modified this mistake.
11. Fig. 1: ‘Bud burst’ in the title of the ordinate? Budburst.
A11: We thank for pointing this mistake. We have modified this mistake.
12. Fig. 2 and 3: Please add R and p values.
A12: We thank for this suggestion and have added R and p values in Fig. 2 and 3.
13. Fig. 6: What does each label represent? Please specify.
A13: We thank for this question and have specified the meaning of labels in the figure title.
14. Fig. 7: The legend is missing. Also, what does each label represent? Please specify.
A14: We thank for this question and have specified the meaning of labels in the figure title.
Interactive discussion
Status: closed

RC1: 'Comment on egusphere20231075', Marc Peaucelle, 24 Aug 2023
Summary:
In this study, Lin and coauthors developed a new phenology model to simulate the withinpopulation variability of budburst in tree populations. Their model was calibrated and evaluated on 3 species and two French sites over 2000 2022. Model simulations show good agreement with observations, both in simulating the average budburst date as well as the duration of budburst. The authors applied their model over 19612022 which simulated earlier budburst with climate warming, a result which is consistent with observations and current knowledge. Same simulations did not show significant evolution of the duration of budburst due to the lack of significant temperature increase during budburst.
Major comments:
The authors provide an interesting study and a new solution to address within population variability. Overall, the manuscript is clear and the methodology is appropriate. Results are well discussed in the light of the current knowledge. I only have some comments regarding the methodology and analyses that could strengthen the clarity and robustness of the analysis:
1) The way the model was calibrated is unclear. At L. 205, the authors mentioned a calibration of model parameters by minimizing RMSE_{tot}. First, the optimization algorithm is not described here. I suggest the authors to describe that part (e.g. was it done with a gradient approach? Which package was used for that task? How a priori set of parameters were defined? How possible equifinality was handled?). Second, I believe there is a problem with the definition of RMSE from eq. 12 : RMSE_{tot} = RMSE_{BP} + RMSE_{DOY . }The authors sum two metrics with different units (RMSE_{BP} is in %, RMSE_{DOY} in days) which, as it is currently described, is wrong. Apart from the unit problem, minimizing a summed RMSE does not seem to be the best approach. If I understand, the goal here is to minimize both RMSE_{BP} and RMSE_{DOY. }However, the same minimum RMSE_{tot }can be achieved with multiple combinations of RMSE_{BP} and RMSE_{DOY. }I suggest the authors to have a multicriteria optimization instead of trying to minimize a combined metrics.
2) To continue with the methodology, I wonder why the authors considered the JanMay temperature to compute the sensitivity? It means that they account for extra temperature for early budburst compared to late budburst, which creates biases in the analysis. I would suggest the authors to considers the preseason temperature in order to avoid this bias (for example the average temperature of the month preceding budburst).
3) The authors hypothesized that F* follows a normal distribution (L. 274, L. 329) and try to validate that hypothesis with indirect comparisons to BP (%) in Fig. 5. This is a key aspect of their work and I believe that the distribution of F* can be directly extracted from observations by computing F* for each observation. Having the “observed” distribution in F* would clearly strengthen the results and the discussion.
4) To continue with F*, the authors discuss L. 336339, that the variability in the timing of budburst can result from the genetic diversity and microclimate. Following my previous suggestion regarding the computation of “observed” F* for each observation, looking at the evolution of F* for each individual could help in discussing that aspect. If the data allow it, showing if the same trees are always early/late within the population, or if it changes from year to year along with F* could help in quantifying that genetic vs. microclimate variability and provide some answers here.
5) It seems that the model is less performant for Castanea (Fig 5c and 7b) compared to other species. Is it linked to that null g parameter? DurBB seems to be well captured for the two other species and not Castanea, what could explain the variability in durBB then? Is it only linked to differences in F* distribution? or extreme temperature? Also the authors discussed the distribution in F*, could we imagine the same distribution for CCrit and what would it imply? Discussing these points could clarify the key message of the manuscript.
6) Finally, it would be very helpful to provide the scripts that were used to process the data, generate the analysis and figures for reproducibility of the results. The script currently archived on Zenodo provides the key functions to run the model but needs substantial effort to reproduce the results.
I hope these comments will help the authors in improving their nice manuscript.
Best regards,
Marc Peaucelle
Citation: https://doi.org/10.5194/egusphere20231075RC1 
AC1: 'Comment on egusphere20231075', Jianhong Lin, 19 Oct 2023
We thank both Dr Peaucelle and Pr Fu for their constructive comments, that helped us producing an improved version of the manuscript. We mentioned their contribution in the “acknowledgements” section of the manuscript (L. 471472).
In the following response, our answers to reviewers appear in blue. The modifications made in the new version of the manuscript are highlighted in red, and duly referenced here with line number identification.
We hope the modifications we made to the manuscript will meet the reviewers’ approval.
Summary:
In this study, Lin and coauthors developed a new phenology model to simulate the withinpopulation variability of budburst in tree populations. Their model was calibrated and evaluated on 3 species and two French sites over 2000 2022. Model simulations show good agreement with observations, both in simulating the average budburst date as well as the duration of budburst. The authors applied their model over 19612022 which simulated earlier budburst with climate warming, a result which is consistent with observations and current knowledge. Same simulations did not show significant evolution of the duration of budburst due to the lack of significant temperature increase during budburst.
Major comments:
The authors provide an interesting study and a new solution to address within population variability. Overall, the manuscript is clear and the methodology is appropriate. Results are well discussed in the light of the current knowledge. I only have some comments regarding the methodology and analyses that could strengthen the clarity and robustness of the analysis:
We thank Dr Peaucelle for his overall support for the manuscript, and for his detailed and constructive comments.
1) The way the model was calibrated is unclear. At L. 205, the authors mentioned a calibration of model parameters by minimizing RMSE_{tot}. First, the optimization algorithm is not described here. I suggest the authors to describe that part (e.g. was it done with a gradient approach? Which package was used for that task? How a priori set of parameters were defined? How possible equifinality was handled?). Second, I believe there is a problem with the definition of RMSE from eq. 12 : RMSE_{tot} = RMSE_{BP} + RMSE_{DOY . }The authors sum two metrics with different units (RMSE_{BP} is in %, RMSE_{DOY} in days) which, as it is currently described, is wrong. Apart from the unit problem, minimizing a summed RMSE does not seem to be the best approach. If I understand, the goal here is to minimize both RMSE_{BP} and RMSE_{DOY}_{. }However, the same minimum RMSE_{tot }can be achieved with multiple combinations of RMSE_{BP} and RMSE_{DOY. }I suggest the authors to have a multicriteria optimization instead of trying to minimize a combined metrics.
A1: We thank Dr Peaucelle for this suggestion. First, we have added the description about the optimization algorithm and the calibration procedure at L.208211.
Our approach of using a multiobjective aggregate cost function is similar to approaches published earlier in the literature (e.g., Richardson et al. 2010, Keenan et al. 2011), now duly cited in the main text (L. 207). We do agree that this approach can suffer from the fact that the same minimum RMSE_{tot }can be achieved with multiple combinations of RMSE_{BP} and RMSE_{DOY}. For instance, the minimum RMSE_{tot} can be achieved with low RMSE_{BP} and high RMSE_{DoY}, or vice versa. We produced one supplementary figure and table to assess this. Figure S4 shows the relation between RMSE_{tot} and RMSE_{BP}/RMSE_{DOY}. Table S2 shows the difference in prediction accuracy over one dimension (RMSE_{BP} or RMSE_{DOY}) which is caused by using RMSE_{tot}. Using RMSE_{tot} instead of RMSE_{BP} or RMSE_{DoY} yielded very similar results, with differences of less than 1% or 1 day when using RMSE_{tot} instead of RMSE_{BP} or RMSE_{DoY}, respectively.
2) To continue with the methodology, I wonder why the authors considered the JanMay temperature to compute the sensitivity? It means that they account for extra temperature for early budburst compared to late budburst, which creates biases in the analysis. I would suggest the authors to considers the preseason temperature in order to avoid this bias (for example the average temperature of the month preceding budburst).
A2: We thank Dr Peaucelle for pointing out this question. We selected the JanMay temperature because we aimed at comparing the temperature sensitivity of budburst in our dataset with the literature (we pinpoint here the work of Vitasse et al., 2009, who compared the sensitivity of budburst to temperature among populations in sessile oak using this period of time as a reference). Please see L. 409412.
We do agree with Dr Peaucelle that considering preseason temperature is a popular approach in the literature. Instead of the onemonth period proposed by Dr Peaucelle, we calculated the budburst sensitivity to preseason temperature considering a fourmonth period, that echoes the about fourmonth duration of the sequence from dormancy release to ontogenetic growth, as predicted by our WPV model. We added those results as a supplementary table (Table S4). The budburst sensitivity to temperatures are, as expected, always negative and significant (compare values in Table S4 and Fig. 6).
3) The authors hypothesized that F* follows a normal distribution (L. 274, L. 329) and try to validate that hypothesis with indirect comparisons to BP (%) in Fig. 5. This is a key aspect of their work and I believe that the distribution of F* can be directly extracted from observations by computing F* for each observation. Having the “observed” distribution in F* would clearly strengthen the results and the discussion.
A3: We thank Fr Peaucelle for this suggestion. In fact, those “observed” distributions appear in the original manuscript, in Fig.5a, d, g. The black points and error bars represent the forcing accumulation required to reach a given budburst percentage in observed data (average across years ± one standard deviation), obtained by inference (i.e., calculating the F* “observed” when reaching a given value of budburst percent, with the other model parameters set at their calibrated value). Indeed, the true “observed” distributions of F* cannot be measured directly since F* depends on the value of the other model parameters. The red curves in Fig.5a, d, g represent a sigmoid function fitted to the black dots, and we also produced its first derivative in Fig.5b, e, h. As stated in the manuscript, “The distributions of F* compared well to the actual distribution of forcing accumulation established from observations (Fig. 5b, e, h), validating the choice of the normal distribution. However, the modelled distribution did not overlap exactly the distribution established from observed data, because the distribution of observations along the BP scale was uneven (Fig. 5c, f, i)” (L. 295298).
4) To continue with F*, the authors discuss L. 336339, that the variability in the timing of budburst can result from the genetic diversity and microclimate. Following my previous suggestion regarding the computation of “observed” F* for each observation, looking at the evolution of F* for each individual could help in discussing that aspect. If the data allow it, showing if the same trees are always early/late within the population, or if it changes from year to year along with F* could help in quantifying that genetic vs. microclimate variability and provide some answers here.
A4: We thank Dr Peaucelle for this excellent suggestion. In fact, most of the observations from the Orsay populations were done on tagged individuals. We produced one figure showing the date of budburst and forcing accumulation in different years at tree scale in Orsay and discussed in L.363365 (Fig. S7). This figure proves that tree individuals have a “phenological identity”, i.e., maintain their phenological rank in the population, owing to underlying genetic, epigenetic and/or environmental differences among them.
5) It seems that the model is less performant for Castanea (Fig 5c and 7b) compared to other species. Is it linked to that null g parameter? DurBB seems to be well captured for the two other species and not Castanea, what could explain the variability in durBB then? Is it only linked to differences in F* distribution? or extreme temperature? Also the authors discussed the distribution in F*, could we imagine the same distribution for CCrit and what would it imply? Discussing these points could clarify the key message of the manuscript.
A5: We thank Dr Peaucelle for this comment. We do agree that the performance of model for Castanea is not as good as for the other two species when considering Fig. 5c and 7b. However, we would like to remember here that there are several possibilities. It should be noted our model only considered the effect of temperature. In fact, other environmental factors (e.g., photoperiod and soil water content) also can affect spring budburst. The model maybe improved including these factors. Because Castanea is latest species among these three species. Observation of budburst for Castanea is harder than for other two species. Because observation will be obstructed/affected by the crowns of other trees during observation for Castanea.
Contrary to Dr Peaucelle’s hypothesis, the fact that the model is not as accurate for Castanea as for the other species does not stem from g being null. Null g parameter means there is no effect of prevailing temperature on ontogenetic competence (Co). We have tested the model performance with this effect of prevailing temperature on Co and without this effect for Castanea. The model without this effect is better.
We do agree with that the prediction for DurBB for Castanea is not as good as that for other two species. The original reason maybe the accuracy of observation for Castanea. Moreover, we did not have the exact records for the start (BP20) and end (BP80) of budburst in the population. Thus, the date of BP20 or BP80 were calculated using the nearest two data (one is below BP20 or BP80, another is above BP20 or BP80) through interpolation (e.g., 15 % budburst percent is on DoY 80 and 25 % budburst percent is on DoY 84. We can obtain the date of BP20 by interpolation, that is DoY 82). The interannual variability of DurBB is mainly caused by temperature, which is reproduced by our model. Our model is temperaturesensitive, which can simulate the DurBB based on different spring temperature scenarios. For example, if there is a sudden warm in early spring, the start of budburst in the population will be early, leading to larger DurBB. Or if there is a sudden cold in early spring, the situation will be the opposite. We have made a corresponding modification at L. 421422.
We do agree that other parameters with same distribution are other choices. In fact, apart from F*, we have tried this method for the temperature threshold of forcing accumulation (T_{b}), the temperature threshold of chilling accumulation (T_{c}) and the requirement of chilling accumulation (Ccrit) (see L. 377380). The performance of model which assume F* is normal distribution is best. And at present, there are some papers which have already shown the difference of budburst date between individuals by calculating forcing accumulation (see L. 8285).
6) Finally, it would be very helpful to provide the scripts that were used to process the data, generate the analysis and figures for reproducibility of the results. The script currently archived on Zenodo provides the key functions to run the model but needs substantial effort to reproduce the results.
A6: We thank for this suggestion. We have updated the code in order to provide more details. And we are pleased to answer any questions for the code or for the method of analysis.
I hope these comments will help the authors in improving their nice manuscript.
Best regards,
Marc Peaucelle
References cited:
Keenan, T. F., Carbone, M. S., Reichstein, M., & Richardson, A. D. (2011). The model–data fusion pitfall: assuming certainty in an uncertain world. Oecologia, 167, 587597.
Richardson, A. D., Williams, M., Hollinger, D. Y., Moore, D. J., Dail, D. B., Davidson, E. A., ... & Savage, K. (2010). Estimating parameters of a forest ecosystem C model with measurements of stocks and fluxes as joint constraints. Oecologia, 164, 2540.
General comments
The spring budburst in plants exhibits sensitivity to climate change. In this manuscript, the authors built the withinpopulation variability (WPV) model based on a twophase parallel model framework, to simulate the budburst in tree populations. Model performance of the WPV model has improved, rendering this research highly significant. I do like this study and it would be a nice contribution to the phenology modeling, and I have some concerns regarding the structure of the manuscript. Firstly, the introduction section need to be improved by adding the mechanisms of the dormancy release process and the introduction of the original model. Secondly, it is recommended to make appropriate deletions and adjustments to make the logic clearer for the whole manuscript, especially the content related to WPV in the introduction section. Additionally, the discussion section suggests adding speciesspecific effects on budburst and better explaining the reasons for considering intrapopulation variability to predict budburst. Therefore, a major revision is recommended.
We thank Dr Fu for his thorough review and detailed comments of our article. According to his suggestion, we modified the introduction (see L. 5865, 7076) and discussion (see L. 412415, 428431) in order to improve the logic of the text.
Specific comments
1. L2830: Moisture (precipitation or air humidity) is also an important factor affecting the timing of leaf phenology in spring.
A1: We do agree with this suggestion. We have added the sentence to show the effect of moisture on timing of leaf phenology in spring. Please see L3033.
2. L5567: These two paragraphs could be merged.
A2: We thank for this suggestion and have modified this part. Please see L.5865.
3. L6267: ‘the increasing warming rate during the budburst period’? Note that in the cited reference it is: ‘slower warming rates during the budburst period’. Please carefully review and correct the citations throughout the manuscript to ensure they are accurately cited.
A3: We thank for pointing this mistake. This part of content has been removed. And we have checked the references throughout the manuscript.
4. L137140: Why is ‘budburst percent’ in italics? Also, 'erf' should be in italics in the formula.
A4: We thank for pointing this question. We have modified this mistake. Please see L.140142.
5. L155156: What does T(t) mean? Symbols that appear for the first time should be interpreted clearly.
A5: We thank for pointing this question. We have modified this mistake. Please see L.158.
6. L172209: For the performance of the MPV model, please add R and p values to further verify the model accuracy. Also, what does ‘ith’ mean in the L209.
A6: We thank for this suggestion. We have added the description of using R and p value to evaluate the model. “ith” refers to the observation number i of a series of N observations. Please see L.220222.
7. L251258: Please add the values of R and p to the model performance and explain them.
A7: We thank for this suggestion. We have added R and p value to evaluate the model in the results. Please see L.268273.
8. L378386: Add some discussion about the effects of changes in BP20, BP80, and DurBB on the temporal niche, coexistence mechanism, and carbon sink capacity of tree populations.
A8: We thank for this suggestion. We have the discussion about the effect of changes in BP20, BP80 and DurBB. Please see L.412415, 428431.
9. L413414: Other environmental factors affecting budburst should also include the interaction between environmental factors.
A9: We thank for this suggestion and have added the sentence to describe the effect of other environmental factors (e.g., moisture) on budburst. Please see L.442448.
10. Table 1: Please correct ‘48491° N’.
A10: We thank for pointing this mistake. We have modified this mistake.
11. Fig. 1: ‘Bud burst’ in the title of the ordinate? Budburst.
A11: We thank for pointing this mistake. We have modified this mistake.
12. Fig. 2 and 3: Please add R and p values.
A12: We thank for this suggestion and have added R and p values in Fig. 2 and 3.
13. Fig. 6: What does each label represent? Please specify.
A13: We thank for this question and have specified the meaning of labels in the figure title.
14. Fig. 7: The legend is missing. Also, what does each label represent? Please specify.
A14: We thank for this question and have specified the meaning of labels in the figure title.

AC1: 'Comment on egusphere20231075', Jianhong Lin, 19 Oct 2023

RC2: 'Comment on egusphere20231075', Yongshuo H. Fu, 18 Sep 2023
General comments
The spring budburst in plants exhibits sensitivity to climate change. In this manuscript, the authors built the withinpopulation variability (WPV) model based on a twophase parallel model framework, to simulate the budburst in tree populations. Model performance of the WPV model has improved, rendering this research highly significant. I do like this study and it would be a nice contribution to the phenology modeling, and I have some concerns regarding the structure of the manuscript. Firstly, the introduction section need to be improved by adding the mechanisms of the dormancy release process and the introduction of the original model. Secondly, it is recommended to make appropriate deletions and adjustments to make the logic clearer for the whole manuscript, especially the content related to WPV in the introduction section. Additionally, the discussion section suggests adding speciesspecific effects on budburst and better explaining the reasons for considering intrapopulation variability to predict budburst. Therefore, a major revision is recommended.
Specific comments
 L2830: Moisture (precipitation or air humidity) is also an important factor affecting the timing of leaf phenology in spring.
 L5567: These two paragraphs could be merged.
 L6267: ‘the increasing warming rate during the budburst period’? Note that in the cited reference it is: ‘slower warming rates during the budburst period’. Please carefully review and correct the citations throughout the manuscript to ensure they are accurately cited.
 L137140: Why is ‘budburst percent’ in italics? Also, 'erf' should be in italics in the formula.
 L155156: What does T(t) mean? Symbols that appear for the first time should be interpreted clearly.
 L172209: For the performance of the MPV model, please add R and p values to further verify the model accuracy. Also, what does ‘ith’ mean in the L209.
 L251258: Please add the values of R and p to the model performance and explain them.
 L378386: Add some discussion about the effects of changes in BP20, BP80, and DurBB on the temporal niche, coexistence mechanism, and carbon sink capacity of tree populations.
 L413414: Other environmental factors affecting budburst should also include the interaction between environmental factors.
 Table 1: Please correct ‘48491° N’.
 1: ‘Bud burst’ in the title of the ordinate? Budburst.
 2 and Fig. 3: Please add R and p values.
 6: What does each label represent? Please specify.
 7: The legend is missing. Also, what does each label represent? Please specify.
Citation: https://doi.org/10.5194/egusphere20231075RC2 
AC1: 'Comment on egusphere20231075', Jianhong Lin, 19 Oct 2023
We thank both Dr Peaucelle and Pr Fu for their constructive comments, that helped us producing an improved version of the manuscript. We mentioned their contribution in the “acknowledgements” section of the manuscript (L. 471472).
In the following response, our answers to reviewers appear in blue. The modifications made in the new version of the manuscript are highlighted in red, and duly referenced here with line number identification.
We hope the modifications we made to the manuscript will meet the reviewers’ approval.
Summary:
In this study, Lin and coauthors developed a new phenology model to simulate the withinpopulation variability of budburst in tree populations. Their model was calibrated and evaluated on 3 species and two French sites over 2000 2022. Model simulations show good agreement with observations, both in simulating the average budburst date as well as the duration of budburst. The authors applied their model over 19612022 which simulated earlier budburst with climate warming, a result which is consistent with observations and current knowledge. Same simulations did not show significant evolution of the duration of budburst due to the lack of significant temperature increase during budburst.
Major comments:
The authors provide an interesting study and a new solution to address within population variability. Overall, the manuscript is clear and the methodology is appropriate. Results are well discussed in the light of the current knowledge. I only have some comments regarding the methodology and analyses that could strengthen the clarity and robustness of the analysis:
We thank Dr Peaucelle for his overall support for the manuscript, and for his detailed and constructive comments.
1) The way the model was calibrated is unclear. At L. 205, the authors mentioned a calibration of model parameters by minimizing RMSE_{tot}. First, the optimization algorithm is not described here. I suggest the authors to describe that part (e.g. was it done with a gradient approach? Which package was used for that task? How a priori set of parameters were defined? How possible equifinality was handled?). Second, I believe there is a problem with the definition of RMSE from eq. 12 : RMSE_{tot} = RMSE_{BP} + RMSE_{DOY . }The authors sum two metrics with different units (RMSE_{BP} is in %, RMSE_{DOY} in days) which, as it is currently described, is wrong. Apart from the unit problem, minimizing a summed RMSE does not seem to be the best approach. If I understand, the goal here is to minimize both RMSE_{BP} and RMSE_{DOY}_{. }However, the same minimum RMSE_{tot }can be achieved with multiple combinations of RMSE_{BP} and RMSE_{DOY. }I suggest the authors to have a multicriteria optimization instead of trying to minimize a combined metrics.
A1: We thank Dr Peaucelle for this suggestion. First, we have added the description about the optimization algorithm and the calibration procedure at L.208211.
Our approach of using a multiobjective aggregate cost function is similar to approaches published earlier in the literature (e.g., Richardson et al. 2010, Keenan et al. 2011), now duly cited in the main text (L. 207). We do agree that this approach can suffer from the fact that the same minimum RMSE_{tot }can be achieved with multiple combinations of RMSE_{BP} and RMSE_{DOY}. For instance, the minimum RMSE_{tot} can be achieved with low RMSE_{BP} and high RMSE_{DoY}, or vice versa. We produced one supplementary figure and table to assess this. Figure S4 shows the relation between RMSE_{tot} and RMSE_{BP}/RMSE_{DOY}. Table S2 shows the difference in prediction accuracy over one dimension (RMSE_{BP} or RMSE_{DOY}) which is caused by using RMSE_{tot}. Using RMSE_{tot} instead of RMSE_{BP} or RMSE_{DoY} yielded very similar results, with differences of less than 1% or 1 day when using RMSE_{tot} instead of RMSE_{BP} or RMSE_{DoY}, respectively.
2) To continue with the methodology, I wonder why the authors considered the JanMay temperature to compute the sensitivity? It means that they account for extra temperature for early budburst compared to late budburst, which creates biases in the analysis. I would suggest the authors to considers the preseason temperature in order to avoid this bias (for example the average temperature of the month preceding budburst).
A2: We thank Dr Peaucelle for pointing out this question. We selected the JanMay temperature because we aimed at comparing the temperature sensitivity of budburst in our dataset with the literature (we pinpoint here the work of Vitasse et al., 2009, who compared the sensitivity of budburst to temperature among populations in sessile oak using this period of time as a reference). Please see L. 409412.
We do agree with Dr Peaucelle that considering preseason temperature is a popular approach in the literature. Instead of the onemonth period proposed by Dr Peaucelle, we calculated the budburst sensitivity to preseason temperature considering a fourmonth period, that echoes the about fourmonth duration of the sequence from dormancy release to ontogenetic growth, as predicted by our WPV model. We added those results as a supplementary table (Table S4). The budburst sensitivity to temperatures are, as expected, always negative and significant (compare values in Table S4 and Fig. 6).
3) The authors hypothesized that F* follows a normal distribution (L. 274, L. 329) and try to validate that hypothesis with indirect comparisons to BP (%) in Fig. 5. This is a key aspect of their work and I believe that the distribution of F* can be directly extracted from observations by computing F* for each observation. Having the “observed” distribution in F* would clearly strengthen the results and the discussion.
A3: We thank Fr Peaucelle for this suggestion. In fact, those “observed” distributions appear in the original manuscript, in Fig.5a, d, g. The black points and error bars represent the forcing accumulation required to reach a given budburst percentage in observed data (average across years ± one standard deviation), obtained by inference (i.e., calculating the F* “observed” when reaching a given value of budburst percent, with the other model parameters set at their calibrated value). Indeed, the true “observed” distributions of F* cannot be measured directly since F* depends on the value of the other model parameters. The red curves in Fig.5a, d, g represent a sigmoid function fitted to the black dots, and we also produced its first derivative in Fig.5b, e, h. As stated in the manuscript, “The distributions of F* compared well to the actual distribution of forcing accumulation established from observations (Fig. 5b, e, h), validating the choice of the normal distribution. However, the modelled distribution did not overlap exactly the distribution established from observed data, because the distribution of observations along the BP scale was uneven (Fig. 5c, f, i)” (L. 295298).
4) To continue with F*, the authors discuss L. 336339, that the variability in the timing of budburst can result from the genetic diversity and microclimate. Following my previous suggestion regarding the computation of “observed” F* for each observation, looking at the evolution of F* for each individual could help in discussing that aspect. If the data allow it, showing if the same trees are always early/late within the population, or if it changes from year to year along with F* could help in quantifying that genetic vs. microclimate variability and provide some answers here.
A4: We thank Dr Peaucelle for this excellent suggestion. In fact, most of the observations from the Orsay populations were done on tagged individuals. We produced one figure showing the date of budburst and forcing accumulation in different years at tree scale in Orsay and discussed in L.363365 (Fig. S7). This figure proves that tree individuals have a “phenological identity”, i.e., maintain their phenological rank in the population, owing to underlying genetic, epigenetic and/or environmental differences among them.
5) It seems that the model is less performant for Castanea (Fig 5c and 7b) compared to other species. Is it linked to that null g parameter? DurBB seems to be well captured for the two other species and not Castanea, what could explain the variability in durBB then? Is it only linked to differences in F* distribution? or extreme temperature? Also the authors discussed the distribution in F*, could we imagine the same distribution for CCrit and what would it imply? Discussing these points could clarify the key message of the manuscript.
A5: We thank Dr Peaucelle for this comment. We do agree that the performance of model for Castanea is not as good as for the other two species when considering Fig. 5c and 7b. However, we would like to remember here that there are several possibilities. It should be noted our model only considered the effect of temperature. In fact, other environmental factors (e.g., photoperiod and soil water content) also can affect spring budburst. The model maybe improved including these factors. Because Castanea is latest species among these three species. Observation of budburst for Castanea is harder than for other two species. Because observation will be obstructed/affected by the crowns of other trees during observation for Castanea.
Contrary to Dr Peaucelle’s hypothesis, the fact that the model is not as accurate for Castanea as for the other species does not stem from g being null. Null g parameter means there is no effect of prevailing temperature on ontogenetic competence (Co). We have tested the model performance with this effect of prevailing temperature on Co and without this effect for Castanea. The model without this effect is better.
We do agree with that the prediction for DurBB for Castanea is not as good as that for other two species. The original reason maybe the accuracy of observation for Castanea. Moreover, we did not have the exact records for the start (BP20) and end (BP80) of budburst in the population. Thus, the date of BP20 or BP80 were calculated using the nearest two data (one is below BP20 or BP80, another is above BP20 or BP80) through interpolation (e.g., 15 % budburst percent is on DoY 80 and 25 % budburst percent is on DoY 84. We can obtain the date of BP20 by interpolation, that is DoY 82). The interannual variability of DurBB is mainly caused by temperature, which is reproduced by our model. Our model is temperaturesensitive, which can simulate the DurBB based on different spring temperature scenarios. For example, if there is a sudden warm in early spring, the start of budburst in the population will be early, leading to larger DurBB. Or if there is a sudden cold in early spring, the situation will be the opposite. We have made a corresponding modification at L. 421422.
We do agree that other parameters with same distribution are other choices. In fact, apart from F*, we have tried this method for the temperature threshold of forcing accumulation (T_{b}), the temperature threshold of chilling accumulation (T_{c}) and the requirement of chilling accumulation (Ccrit) (see L. 377380). The performance of model which assume F* is normal distribution is best. And at present, there are some papers which have already shown the difference of budburst date between individuals by calculating forcing accumulation (see L. 8285).
6) Finally, it would be very helpful to provide the scripts that were used to process the data, generate the analysis and figures for reproducibility of the results. The script currently archived on Zenodo provides the key functions to run the model but needs substantial effort to reproduce the results.
A6: We thank for this suggestion. We have updated the code in order to provide more details. And we are pleased to answer any questions for the code or for the method of analysis.
I hope these comments will help the authors in improving their nice manuscript.
Best regards,
Marc Peaucelle
References cited:
Keenan, T. F., Carbone, M. S., Reichstein, M., & Richardson, A. D. (2011). The model–data fusion pitfall: assuming certainty in an uncertain world. Oecologia, 167, 587597.
Richardson, A. D., Williams, M., Hollinger, D. Y., Moore, D. J., Dail, D. B., Davidson, E. A., ... & Savage, K. (2010). Estimating parameters of a forest ecosystem C model with measurements of stocks and fluxes as joint constraints. Oecologia, 164, 2540.
General comments
The spring budburst in plants exhibits sensitivity to climate change. In this manuscript, the authors built the withinpopulation variability (WPV) model based on a twophase parallel model framework, to simulate the budburst in tree populations. Model performance of the WPV model has improved, rendering this research highly significant. I do like this study and it would be a nice contribution to the phenology modeling, and I have some concerns regarding the structure of the manuscript. Firstly, the introduction section need to be improved by adding the mechanisms of the dormancy release process and the introduction of the original model. Secondly, it is recommended to make appropriate deletions and adjustments to make the logic clearer for the whole manuscript, especially the content related to WPV in the introduction section. Additionally, the discussion section suggests adding speciesspecific effects on budburst and better explaining the reasons for considering intrapopulation variability to predict budburst. Therefore, a major revision is recommended.
We thank Dr Fu for his thorough review and detailed comments of our article. According to his suggestion, we modified the introduction (see L. 5865, 7076) and discussion (see L. 412415, 428431) in order to improve the logic of the text.
Specific comments
1. L2830: Moisture (precipitation or air humidity) is also an important factor affecting the timing of leaf phenology in spring.
A1: We do agree with this suggestion. We have added the sentence to show the effect of moisture on timing of leaf phenology in spring. Please see L3033.
2. L5567: These two paragraphs could be merged.
A2: We thank for this suggestion and have modified this part. Please see L.5865.
3. L6267: ‘the increasing warming rate during the budburst period’? Note that in the cited reference it is: ‘slower warming rates during the budburst period’. Please carefully review and correct the citations throughout the manuscript to ensure they are accurately cited.
A3: We thank for pointing this mistake. This part of content has been removed. And we have checked the references throughout the manuscript.
4. L137140: Why is ‘budburst percent’ in italics? Also, 'erf' should be in italics in the formula.
A4: We thank for pointing this question. We have modified this mistake. Please see L.140142.
5. L155156: What does T(t) mean? Symbols that appear for the first time should be interpreted clearly.
A5: We thank for pointing this question. We have modified this mistake. Please see L.158.
6. L172209: For the performance of the MPV model, please add R and p values to further verify the model accuracy. Also, what does ‘ith’ mean in the L209.
A6: We thank for this suggestion. We have added the description of using R and p value to evaluate the model. “ith” refers to the observation number i of a series of N observations. Please see L.220222.
7. L251258: Please add the values of R and p to the model performance and explain them.
A7: We thank for this suggestion. We have added R and p value to evaluate the model in the results. Please see L.268273.
8. L378386: Add some discussion about the effects of changes in BP20, BP80, and DurBB on the temporal niche, coexistence mechanism, and carbon sink capacity of tree populations.
A8: We thank for this suggestion. We have the discussion about the effect of changes in BP20, BP80 and DurBB. Please see L.412415, 428431.
9. L413414: Other environmental factors affecting budburst should also include the interaction between environmental factors.
A9: We thank for this suggestion and have added the sentence to describe the effect of other environmental factors (e.g., moisture) on budburst. Please see L.442448.
10. Table 1: Please correct ‘48491° N’.
A10: We thank for pointing this mistake. We have modified this mistake.
11. Fig. 1: ‘Bud burst’ in the title of the ordinate? Budburst.
A11: We thank for pointing this mistake. We have modified this mistake.
12. Fig. 2 and 3: Please add R and p values.
A12: We thank for this suggestion and have added R and p values in Fig. 2 and 3.
13. Fig. 6: What does each label represent? Please specify.
A13: We thank for this question and have specified the meaning of labels in the figure title.
14. Fig. 7: The legend is missing. Also, what does each label represent? Please specify.
A14: We thank for this question and have specified the meaning of labels in the figure title.

AC1: 'Comment on egusphere20231075', Jianhong Lin, 19 Oct 2023
We thank both Dr Peaucelle and Pr Fu for their constructive comments, that helped us producing an improved version of the manuscript. We mentioned their contribution in the “acknowledgements” section of the manuscript (L. 471472).
In the following response, our answers to reviewers appear in blue. The modifications made in the new version of the manuscript are highlighted in red, and duly referenced here with line number identification.
We hope the modifications we made to the manuscript will meet the reviewers’ approval.
Summary:
In this study, Lin and coauthors developed a new phenology model to simulate the withinpopulation variability of budburst in tree populations. Their model was calibrated and evaluated on 3 species and two French sites over 2000 2022. Model simulations show good agreement with observations, both in simulating the average budburst date as well as the duration of budburst. The authors applied their model over 19612022 which simulated earlier budburst with climate warming, a result which is consistent with observations and current knowledge. Same simulations did not show significant evolution of the duration of budburst due to the lack of significant temperature increase during budburst.
Major comments:
The authors provide an interesting study and a new solution to address within population variability. Overall, the manuscript is clear and the methodology is appropriate. Results are well discussed in the light of the current knowledge. I only have some comments regarding the methodology and analyses that could strengthen the clarity and robustness of the analysis:
We thank Dr Peaucelle for his overall support for the manuscript, and for his detailed and constructive comments.
1) The way the model was calibrated is unclear. At L. 205, the authors mentioned a calibration of model parameters by minimizing RMSE_{tot}. First, the optimization algorithm is not described here. I suggest the authors to describe that part (e.g. was it done with a gradient approach? Which package was used for that task? How a priori set of parameters were defined? How possible equifinality was handled?). Second, I believe there is a problem with the definition of RMSE from eq. 12 : RMSE_{tot} = RMSE_{BP} + RMSE_{DOY . }The authors sum two metrics with different units (RMSE_{BP} is in %, RMSE_{DOY} in days) which, as it is currently described, is wrong. Apart from the unit problem, minimizing a summed RMSE does not seem to be the best approach. If I understand, the goal here is to minimize both RMSE_{BP} and RMSE_{DOY}_{. }However, the same minimum RMSE_{tot }can be achieved with multiple combinations of RMSE_{BP} and RMSE_{DOY. }I suggest the authors to have a multicriteria optimization instead of trying to minimize a combined metrics.
A1: We thank Dr Peaucelle for this suggestion. First, we have added the description about the optimization algorithm and the calibration procedure at L.208211.
Our approach of using a multiobjective aggregate cost function is similar to approaches published earlier in the literature (e.g., Richardson et al. 2010, Keenan et al. 2011), now duly cited in the main text (L. 207). We do agree that this approach can suffer from the fact that the same minimum RMSE_{tot }can be achieved with multiple combinations of RMSE_{BP} and RMSE_{DOY}. For instance, the minimum RMSE_{tot} can be achieved with low RMSE_{BP} and high RMSE_{DoY}, or vice versa. We produced one supplementary figure and table to assess this. Figure S4 shows the relation between RMSE_{tot} and RMSE_{BP}/RMSE_{DOY}. Table S2 shows the difference in prediction accuracy over one dimension (RMSE_{BP} or RMSE_{DOY}) which is caused by using RMSE_{tot}. Using RMSE_{tot} instead of RMSE_{BP} or RMSE_{DoY} yielded very similar results, with differences of less than 1% or 1 day when using RMSE_{tot} instead of RMSE_{BP} or RMSE_{DoY}, respectively.
2) To continue with the methodology, I wonder why the authors considered the JanMay temperature to compute the sensitivity? It means that they account for extra temperature for early budburst compared to late budburst, which creates biases in the analysis. I would suggest the authors to considers the preseason temperature in order to avoid this bias (for example the average temperature of the month preceding budburst).
A2: We thank Dr Peaucelle for pointing out this question. We selected the JanMay temperature because we aimed at comparing the temperature sensitivity of budburst in our dataset with the literature (we pinpoint here the work of Vitasse et al., 2009, who compared the sensitivity of budburst to temperature among populations in sessile oak using this period of time as a reference). Please see L. 409412.
We do agree with Dr Peaucelle that considering preseason temperature is a popular approach in the literature. Instead of the onemonth period proposed by Dr Peaucelle, we calculated the budburst sensitivity to preseason temperature considering a fourmonth period, that echoes the about fourmonth duration of the sequence from dormancy release to ontogenetic growth, as predicted by our WPV model. We added those results as a supplementary table (Table S4). The budburst sensitivity to temperatures are, as expected, always negative and significant (compare values in Table S4 and Fig. 6).
3) The authors hypothesized that F* follows a normal distribution (L. 274, L. 329) and try to validate that hypothesis with indirect comparisons to BP (%) in Fig. 5. This is a key aspect of their work and I believe that the distribution of F* can be directly extracted from observations by computing F* for each observation. Having the “observed” distribution in F* would clearly strengthen the results and the discussion.
A3: We thank Fr Peaucelle for this suggestion. In fact, those “observed” distributions appear in the original manuscript, in Fig.5a, d, g. The black points and error bars represent the forcing accumulation required to reach a given budburst percentage in observed data (average across years ± one standard deviation), obtained by inference (i.e., calculating the F* “observed” when reaching a given value of budburst percent, with the other model parameters set at their calibrated value). Indeed, the true “observed” distributions of F* cannot be measured directly since F* depends on the value of the other model parameters. The red curves in Fig.5a, d, g represent a sigmoid function fitted to the black dots, and we also produced its first derivative in Fig.5b, e, h. As stated in the manuscript, “The distributions of F* compared well to the actual distribution of forcing accumulation established from observations (Fig. 5b, e, h), validating the choice of the normal distribution. However, the modelled distribution did not overlap exactly the distribution established from observed data, because the distribution of observations along the BP scale was uneven (Fig. 5c, f, i)” (L. 295298).
4) To continue with F*, the authors discuss L. 336339, that the variability in the timing of budburst can result from the genetic diversity and microclimate. Following my previous suggestion regarding the computation of “observed” F* for each observation, looking at the evolution of F* for each individual could help in discussing that aspect. If the data allow it, showing if the same trees are always early/late within the population, or if it changes from year to year along with F* could help in quantifying that genetic vs. microclimate variability and provide some answers here.
A4: We thank Dr Peaucelle for this excellent suggestion. In fact, most of the observations from the Orsay populations were done on tagged individuals. We produced one figure showing the date of budburst and forcing accumulation in different years at tree scale in Orsay and discussed in L.363365 (Fig. S7). This figure proves that tree individuals have a “phenological identity”, i.e., maintain their phenological rank in the population, owing to underlying genetic, epigenetic and/or environmental differences among them.
5) It seems that the model is less performant for Castanea (Fig 5c and 7b) compared to other species. Is it linked to that null g parameter? DurBB seems to be well captured for the two other species and not Castanea, what could explain the variability in durBB then? Is it only linked to differences in F* distribution? or extreme temperature? Also the authors discussed the distribution in F*, could we imagine the same distribution for CCrit and what would it imply? Discussing these points could clarify the key message of the manuscript.
A5: We thank Dr Peaucelle for this comment. We do agree that the performance of model for Castanea is not as good as for the other two species when considering Fig. 5c and 7b. However, we would like to remember here that there are several possibilities. It should be noted our model only considered the effect of temperature. In fact, other environmental factors (e.g., photoperiod and soil water content) also can affect spring budburst. The model maybe improved including these factors. Because Castanea is latest species among these three species. Observation of budburst for Castanea is harder than for other two species. Because observation will be obstructed/affected by the crowns of other trees during observation for Castanea.
Contrary to Dr Peaucelle’s hypothesis, the fact that the model is not as accurate for Castanea as for the other species does not stem from g being null. Null g parameter means there is no effect of prevailing temperature on ontogenetic competence (Co). We have tested the model performance with this effect of prevailing temperature on Co and without this effect for Castanea. The model without this effect is better.
We do agree with that the prediction for DurBB for Castanea is not as good as that for other two species. The original reason maybe the accuracy of observation for Castanea. Moreover, we did not have the exact records for the start (BP20) and end (BP80) of budburst in the population. Thus, the date of BP20 or BP80 were calculated using the nearest two data (one is below BP20 or BP80, another is above BP20 or BP80) through interpolation (e.g., 15 % budburst percent is on DoY 80 and 25 % budburst percent is on DoY 84. We can obtain the date of BP20 by interpolation, that is DoY 82). The interannual variability of DurBB is mainly caused by temperature, which is reproduced by our model. Our model is temperaturesensitive, which can simulate the DurBB based on different spring temperature scenarios. For example, if there is a sudden warm in early spring, the start of budburst in the population will be early, leading to larger DurBB. Or if there is a sudden cold in early spring, the situation will be the opposite. We have made a corresponding modification at L. 421422.
We do agree that other parameters with same distribution are other choices. In fact, apart from F*, we have tried this method for the temperature threshold of forcing accumulation (T_{b}), the temperature threshold of chilling accumulation (T_{c}) and the requirement of chilling accumulation (Ccrit) (see L. 377380). The performance of model which assume F* is normal distribution is best. And at present, there are some papers which have already shown the difference of budburst date between individuals by calculating forcing accumulation (see L. 8285).
6) Finally, it would be very helpful to provide the scripts that were used to process the data, generate the analysis and figures for reproducibility of the results. The script currently archived on Zenodo provides the key functions to run the model but needs substantial effort to reproduce the results.
A6: We thank for this suggestion. We have updated the code in order to provide more details. And we are pleased to answer any questions for the code or for the method of analysis.
I hope these comments will help the authors in improving their nice manuscript.
Best regards,
Marc Peaucelle
References cited:
Keenan, T. F., Carbone, M. S., Reichstein, M., & Richardson, A. D. (2011). The model–data fusion pitfall: assuming certainty in an uncertain world. Oecologia, 167, 587597.
Richardson, A. D., Williams, M., Hollinger, D. Y., Moore, D. J., Dail, D. B., Davidson, E. A., ... & Savage, K. (2010). Estimating parameters of a forest ecosystem C model with measurements of stocks and fluxes as joint constraints. Oecologia, 164, 2540.
General comments
The spring budburst in plants exhibits sensitivity to climate change. In this manuscript, the authors built the withinpopulation variability (WPV) model based on a twophase parallel model framework, to simulate the budburst in tree populations. Model performance of the WPV model has improved, rendering this research highly significant. I do like this study and it would be a nice contribution to the phenology modeling, and I have some concerns regarding the structure of the manuscript. Firstly, the introduction section need to be improved by adding the mechanisms of the dormancy release process and the introduction of the original model. Secondly, it is recommended to make appropriate deletions and adjustments to make the logic clearer for the whole manuscript, especially the content related to WPV in the introduction section. Additionally, the discussion section suggests adding speciesspecific effects on budburst and better explaining the reasons for considering intrapopulation variability to predict budburst. Therefore, a major revision is recommended.
We thank Dr Fu for his thorough review and detailed comments of our article. According to his suggestion, we modified the introduction (see L. 5865, 7076) and discussion (see L. 412415, 428431) in order to improve the logic of the text.
Specific comments
1. L2830: Moisture (precipitation or air humidity) is also an important factor affecting the timing of leaf phenology in spring.
A1: We do agree with this suggestion. We have added the sentence to show the effect of moisture on timing of leaf phenology in spring. Please see L3033.
2. L5567: These two paragraphs could be merged.
A2: We thank for this suggestion and have modified this part. Please see L.5865.
3. L6267: ‘the increasing warming rate during the budburst period’? Note that in the cited reference it is: ‘slower warming rates during the budburst period’. Please carefully review and correct the citations throughout the manuscript to ensure they are accurately cited.
A3: We thank for pointing this mistake. This part of content has been removed. And we have checked the references throughout the manuscript.
4. L137140: Why is ‘budburst percent’ in italics? Also, 'erf' should be in italics in the formula.
A4: We thank for pointing this question. We have modified this mistake. Please see L.140142.
5. L155156: What does T(t) mean? Symbols that appear for the first time should be interpreted clearly.
A5: We thank for pointing this question. We have modified this mistake. Please see L.158.
6. L172209: For the performance of the MPV model, please add R and p values to further verify the model accuracy. Also, what does ‘ith’ mean in the L209.
A6: We thank for this suggestion. We have added the description of using R and p value to evaluate the model. “ith” refers to the observation number i of a series of N observations. Please see L.220222.
7. L251258: Please add the values of R and p to the model performance and explain them.
A7: We thank for this suggestion. We have added R and p value to evaluate the model in the results. Please see L.268273.
8. L378386: Add some discussion about the effects of changes in BP20, BP80, and DurBB on the temporal niche, coexistence mechanism, and carbon sink capacity of tree populations.
A8: We thank for this suggestion. We have the discussion about the effect of changes in BP20, BP80 and DurBB. Please see L.412415, 428431.
9. L413414: Other environmental factors affecting budburst should also include the interaction between environmental factors.
A9: We thank for this suggestion and have added the sentence to describe the effect of other environmental factors (e.g., moisture) on budburst. Please see L.442448.
10. Table 1: Please correct ‘48491° N’.
A10: We thank for pointing this mistake. We have modified this mistake.
11. Fig. 1: ‘Bud burst’ in the title of the ordinate? Budburst.
A11: We thank for pointing this mistake. We have modified this mistake.
12. Fig. 2 and 3: Please add R and p values.
A12: We thank for this suggestion and have added R and p values in Fig. 2 and 3.
13. Fig. 6: What does each label represent? Please specify.
A13: We thank for this question and have specified the meaning of labels in the figure title.
14. Fig. 7: The legend is missing. Also, what does each label represent? Please specify.
A14: We thank for this question and have specified the meaning of labels in the figure title.
Peer review completion
Journal article(s) based on this preprint
Data sets
the data for WPV model for budburst Eric Dufrene, Nicolas Delpierre, Gaëlle Vincent, Alexandre Morfin, Daniel Berveiller, and Jianhong Lin https://doi.org/10.5281/zenodo.7962840
Model code and software
code for wpv model (model simulating the withinpopulation of budburst in tree populations) Lin Jianhong https://doi.org/10.5281/zenodo.7957944
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