Enhancing broad-scale prediction of flowering onset by incorporating spatial heterogeneity in heat accumulation threshold

Jiaxin Jin , Yuting Hao , Qiuan Zhu , Weifeng Wang , Yuanwei Qin , Long Hai , Zhuofan Li , Jin Wu

Journal of Forestry Research ›› 2026, Vol. 37 ›› Issue (1) : 59

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Journal of Forestry Research ›› 2026, Vol. 37 ›› Issue (1) :59 DOI: 10.1007/s11676-026-02004-3
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Enhancing broad-scale prediction of flowering onset by incorporating spatial heterogeneity in heat accumulation threshold

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Abstract

Accurate prediction of plants’ flowering onset date (FOD) is vital for maintaining ecosystem functions and boosting forestry economic gains. While the Spring Warming (SW) model is commonly used to predict flowering phenology, its traditional fixed setting of the heat accumulation threshold (HAT), measured by growing degree days (GDD), fails to account for the spatial variation in preseason thermal requirements reported in previous studies. This limitation reduces the accuracy of FOD predictions across large spatial areas. In this study, we hypothesized that the HAT in the SW model varies spatially with habitat-specific temperature due to thermal acclimation. To test this, we systematically quantified the spatial differences in HAT using observed FOD data of Robinia pseudoacacia, which is a keystone species for afforestation and a vital nectar source, from 58 stations across China between 1963 and 2008. We identified the key temperature variables influencing HAT variability and developed a simplified, spatially dynamic HAT scheme. The updated SW model, incorporating this variable HAT, was evaluated with cross-site FOD observations. Results showed significant variation of HAT across different climate zones. A geodetector analysis found that the mean temperature from February to May was the main factor driving HAT heterogeneity, supporting our hypothesis. Additionally, spatial factors such as elevation and longitude also contributed to HAT variation alongside thermal factors. Incorporating this spatially variable HAT, predicted from preseason temperatures, into the SW model significantly improved FOD prediction accuracy, decreasing the root mean square error (RMSE) by 11.91% compared to a model with a constant HAT. Future climate scenario predictions indicated that the SW mode with the fixed HAT underestimated FOD advances in warmer areas and overestimated the rate of change, especially when compared to the heterogeneous HAT model. Overall, we emphasize the importance of considering spatial thermal acclimation in broad-scale flowering onset predictions.

Keywords

Flowering onset / Thermal acclimation / Spring warming model / Heat accumulation threshold / Spatial heterogeneity / Robinia pseudoacacia

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Jiaxin Jin, Yuting Hao, Qiuan Zhu, Weifeng Wang, Yuanwei Qin, Long Hai, Zhuofan Li, Jin Wu. Enhancing broad-scale prediction of flowering onset by incorporating spatial heterogeneity in heat accumulation threshold. Journal of Forestry Research, 2026, 37(1): 59 DOI:10.1007/s11676-026-02004-3

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References

[1]

Bennie J, Kubin E, Wiltshire A, Huntley B, Baxter R. Predicting spatial and temporal patterns of bud-burst and spring frost risk in north-west Europe: the implications of local adaptation to climate. Glob Change Biol, 2010, 16(5): 1503-1514

[2]

Chen YY, Collins SL, Zhao YP, Zhang TW, Yang XR, An H, Hu GR, Xin CM, Zhou J, Sheng XJ, He MR, Zhang PH, Guo ZP, Zhang H, Li LP, Ma MJ. Warming reduced flowering synchrony and extended community flowering season in an Alpine meadow on the Tibetan Plateau. Ecology, 2023, 104(1 e3862

[3]

Chuine I. Why does phenology drive species distribution?. Philos Trans Biol Sci, 2010, 3651555): 3149-3160

[4]

Chuine I, Cour P. Climatic determinants of budburst seasonality in four temperate-zone tree species. New Phytol, 1999, 143(2): 339-349

[5]

Chuine I, Cambon G, Comtois P. Scaling phenology from the local to the regional level: advances from species-specific phenological models. Glob Change Biol, 2000, 6(8): 943-952

[6]

Cleland EE, Chuine I, Menzel A, Mooney HA, Schwartz MD. Shifting plant phenology in response to global change. Trends Ecol Evol, 2007, 22(7): 357-365

[7]

Crimmins MA, Crimmins TM. Does an early spring indicate an early summer? Relationships between intraseasonal growing degree day thresholds. J Geophys Res Biogeosci, 2019, 124(8): 2628-2641

[8]

Diez JM, Ibáñez I, Miller-Rushing AJ, Mazer SJ, Crimmins TM, Crimmins MA, Bertelsen CD, Inouye DW. Forecasting phenology: from species variability to community patterns. Ecol Lett, 2012, 15(6): 545-553

[9]

Eccel E, Rea R, Caffarra A, Crisci A. Risk of spring frost to apple production under future climate scenarios: the role of phenological acclimation. Int J Biometeorol, 2009, 53(3): 273-286

[10]

Franks SJ. The unique and multifaceted importance of the timing of flowering. Am J Bot, 2015, 102(9): 1401-1402

[11]

Fu YH, Piao SL, Zhao HF, Jeong SJ, Wang XH, Vitasse Y, Ciais P, Janssens IA. Unexpected role of winter precipitation in determining heat requirement for spring vegetation green-up at northern middle and high latitudes. Glob Change Biol, 2014, 20(12): 3743-3755

[12]

Fu YH, Zhao HF, Piao SL, Peaucelle M, Peng SS, Zhou GY, Ciais P, Huang MT, Menzel A, Peñuelas J, Song Y, Vitasse Y, Zeng ZZ, Janssens IA. Declining global warming effects on the phenology of spring leaf unfolding. Nature, 2015, 526(7571): 104-107

[13]

Fu YS, Li XX, Zhou XC, Geng XJ, Guo YH, Zhang YR. Progress in plant phenology modeling under global climate change. Sci China Earth Sci, 2020, 63(9): 1237-1247

[14]

Gao MD, Wang XH, Meng FD, Liu Q, Li XY, Zhang Y, Piao SL. Three-dimensional change in temperature sensitivity of northern vegetation phenology. Glob Change Biol, 2020, 26(9): 5189-5201

[15]

Gao CX, Wang HJ, Ge QS. Interpretable machine learning algorithms to predict leaf senescence date of deciduous trees. Agric for Meteorol, 2023, 340 109623

[16]

Hall ES, Piedrahita LR, Kendziorski G, Waddle E, Doak DF, DeMarche ML. Climate and synchrony with conspecifics determine the effects of flowering phenology on reproductive success in Silene acaulis. Arct Antarct Alp Res, 2018, 50(1 e1548866

[17]

He J, Yang K, Tang WJ, Lu H, Qin J, Chen YY, Li X. The first high-resolution meteorological forcing dataset for land process studies over China. Sci Data, 2020, 71 25

[18]

Ibáñez I, Primack RB, Miller-Rushing AJ, Ellwood E, Higuchi H, Lee SD, Kobori H, Silander JA. Forecasting phenology under global warming. Philos Trans R Soc Lond B Biol Sci, 2010, 3651555): 3247-3260

[19]

Jin ZN, Zhuang QL, Dukes JS, He JS, Sokolov AP, Chen M, Zhang TL, Luo TX. Temporal variability in the thermal requirements for vegetation phenology on the Tibetan Plateau and its implications for carbon dynamics. Clim Change, 2016, 138(3): 617-632

[20]

Li SH, Wang YP, Ciais P, Sitch S, Sato H, Shen MG, Chen XZ, Ito A, Wu CY, Kucharik CJ, Yuan WP. Deficiencies of phenology models in simulating spatial and temporal variations in temperate spring leaf phenology. J Geophys Res Biogeosci, 2022, 127(3 e2021JG006421

[21]

Lin N, Liu D, Wang YX, Wang SC, Lu FQ, Wang M, Zhang XT, Li QY, Xu L. Modeling the first flowering date of Robinia pseudoacacia L. based on photoperiod and temperature in the North China Plain. Acta Ecol Sin, 2024, 449): 3745-3758

[22]

Lu PL, Yu Q, Liu HD, He Q. Effects of changes in spring temperature on flowering dates of woody plants across China. Bot Stud, 2006, 47(2): 153-161

[23]

McGrath LJ, Van Riper IIIC, Fontaine JJ. Flower power: tree flowering phenology as a settlement cue for migrating birds. J Anim Ecol, 2009, 78(1): 22-30

[24]

Menzel A. Plant phenological anomalies in Germany and their relation to air temperature and NAO. Clim Change, 2003, 57(3): 243-263

[25]

Menzel A, Sparks TH, Estrella N, Koch E, Aasa A, Ahas R, Alm-Kübler K, Bissolli P, Braslavská O, Briede A, Chmielewski FM, Crepinsek Z, Curnel Y, Dahl Å, Defila C, Donnelly A, Filella Y, Jatczak K, Måge F, Mestre A, Nordli Ø, Peñuelas J, Pirinen P, Remišová V, Scheifinger H, Striz M, Susnik A, Van Vliet AJH, Wielgolaski FE, Zach S, Zust A. European phenological response to climate change matches the warming pattern. Glob Change Biol, 2006, 12(10): 1969-1976

[26]

Mo F, Zhao H, Wang JY, Qiang SC, Zhou H, Wang SM, Xiong YC. The key issues on plant phenology under global change. Acta Ecol Sin, 2011, 31(9): 2593-2601

[27]

Mo YH, Zhang J, Jiang H, Fu YH. A comparative study of 17 phenological models to predict the start of the growing season. Front for Glob Change, 2023, 5 1032066

[28]

Moore JL, Remais JV. Developmental models for estimating ecological responses to environmental variability: structural, parametric, and experimental issues. Acta Biotheor, 2014, 62(1): 69-90

[29]

Nagai S, Morimoto H, Saitoh TM. A simpler way to predict flowering and full bloom dates of cherry blossoms by self-organizing maps. Ecol Inform, 2020, 56 101040

[30]

Olsson C, Bolmgren K, Lindström J, Jönsson AM. Performance of tree phenology models along a bioclimatic gradient in Sweden. Ecol Model, 2013, 266: 103-117

[31]

Park IW, Ramirez-Parada T, Mazer SJ. Advancing frost dates have reduced frost risk among most North American angiosperms since 1980. Glob Change Biol, 2021, 27(1): 165-176

[32]

Pearson KD. Spring- and fall-flowering species show diverging phenological responses to climate in the Southeast USA. Int J Biometeorol, 2019, 63(4): 481-492

[33]

Peaucelle M, Janssens IA, Stocker BD, Descals Ferrando A, Fu YH, Molowny-Horas R, Ciais P, Peñuelas J. Spatial variance of spring phenology in temperate deciduous forests is constrained by background climatic conditions. Nat Commun, 2019, 10(1 5388

[34]

Peñuelas J, Filella I. Responses to a warming world. Science, 2001, 2945543): 793-795

[35]

Peñuelas J, Rutishauser T, Filella I. Ecology. Phenology feedbacks on climate change. Science, 2009, 324(5929): 887-888

[36]

Piao SL, Liu Q, Chen AP, Janssens IA, Fu YS, Dai JH, Liu LL, Lian X, Shen MG, Zhu XL. Plant phenology and global climate change: current progresses and challenges. Glob Change Biol, 2019, 25(6): 1922-1940

[37]

Prevéy JS. Climate change: flowering time may be shifting in surprising ways. Curr Biol, 2020, 30(3): R112-R114

[38]

Primack RB, Vaughn S, Terry C. Local soil temperature advances flowering phenology of Canada mayflower (Maianthemum canadense), with implications for climate change assessment. Oecologia, 2025, 207(2 36

[39]

Qian SW, Chen XQ, Lang WG, Schwartz MD. Examining spring phenological responses to temperature variations during different periods in subtropical and tropical China. Int J Climatol, 2021, 41S1): E3208-E3218

[40]

Reeves LA, Garratt MPD, Fountain MT, Senapathi D. Climate induced phenological shifts in pears—a crop of economic importance in the UK. Agric Ecosyst Environ, 2022, 338 108109

[41]

Shelton WR, Mitchell RJ, Christopher DA, Jack LP, Karron JD. Among-individual variation in flowering phenology affects flowering synchrony and mating opportunity. Am J Bot, 2024, 111(1 e16269

[42]

Shen MG, Tang YH, Chen J, Yang W. Specification of thermal growing season in temperate China from 1960 to 2009. Clim Change, 2012, 1143): 783-798

[43]

Shen MG, Cong N, Cao RY. Temperature sensitivity as an explanation of the latitudinal pattern of green-up date trend in Northern Hemisphere vegetation during 1982–2008. Int J Climatol, 2015, 35(12): 3707-3712

[44]

Tao ZX, Ge QS, Wang HJ. Spatio-temporal variations in the thermal requirement of the first flowering dates of Salix babylonica and Ulmus pumila in China during 1963–2018. Acta Geol Sinica, 2020, 75(7): 1451-1464

[45]

Vitasse Y, François C, Delpierre N, Dufrêne E, Kremer A, Chuine I, Delzon S. Assessing the effects of climate change on the phenology of European temperate trees. Agric for Meteorol, 2011, 151(7): 969-980

[46]

Walkovszky A. Changes in phenology of the locust tree (Robinia pseudoacacia L.) in Hungary. Int J Biometeorol, 1998, 41(4): 155-160

[47]

Wang JF, Xu CD. Geodetector: principle and prospective. Acta Geogr Sin, 2017, 72(1): 116-134 in Chinese)

[48]

Wang HJ, Dai JH, Ge QS. The spatiotemporal characteristics of spring phenophase changes of Fraxinus chinensis in China from 1952 to 2007. Sci China Earth Sci, 2012, 55(6): 991-1000

[49]

Wang YF, Li XX, Dawadi B, Eckstein D, Liang EY. Phenological variation in height growth and needle unfolding of Smith fir along an altitudinal gradient on the southeastern Tibetan Plateau. Trees, 2013, 27(2): 401-407

[50]

Way DA, Montgomery RA. Photoperiod constraints on tree phenology, performance and migration in a warming world. Plant Cell Environ, 2015, 38(9): 1725-1736

[51]

Wolfe DW, Schwartz MD, Lakso AN, Otsuki Y, Pool RM, Shaulis NJ. Climate change and shifts in spring phenology of three horticultural woody perennials in northeastern USA. Int J Biometeorol, 2005, 49(5): 303-309

[52]

Wolkovich EM, Cook BI, Allen JM, Crimmins TM, Betancourt JL, Travers SE, Pau S, Regetz J, Davies TJ, Kraft NJB, Ault TR, Bolmgren K, Mazer SJ, McCabe GJ, McGill BJ, Parmesan C, Salamin N, Schwartz MD, Cleland EE. Warming experiments underpredict plant phenological responses to climate change. Nature, 2012, 485(7399): 494-497

[53]

Xu YJ, Dai JH, Ge QS, Wang HJ, Tao ZX. Comparison of chilling and heat requirements for leaf unfolding in deciduous woody species in temperate and subtropical China. Int J Biometeorol, 2021, 65(3): 393-403

[54]

Yang CY, Lei N, Menz C, Ceglar A, Torres-Matallana JA, Li SQ, Jiang YL, Tan XM, Tao L, He F, Li SG, Liu B, Yang F, Fraga H, Santos JA. Regional uncertainty analysis between crop phenology model structures and optimal parameters. Agric for Meteor, 2024, 355 110137

[55]

Zhang HC, Yuan WP, Liu SG, Dong WJ, Fu Y. Sensitivity of flowering phenology to changing temperature in China. J Geophys Res Biogeosci, 2015, 120(8): 1658-1665

[56]

Zhu MY, Dai JH, Wang HJ, Alatalo JM, Liu W, Hao YL, Ge QS. Mapping 24 woody plant species phenology and ground forest phenology over China from 1951 to 2020. Earth Syst Sci Data, 2024, 16(1): 277-293

[57]

Zu KL, Chen FS, Li YQ, Shrestha N, Fang XM, Ahmad S, Nabi G, Wang ZH. Climate change impacts flowering phenology in Gongga Mountains, Southwest China. Plant Diversity, 2024, 46(6): 774-782

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