Skip to main content

Climatic Influences on the Flowering Phenology of Four Eucalypts: A GAMLSS Approach

  • Chapter
  • First Online:
Phenological Research

Abstract

This chapter represents one of the first attempts to utilize phenological data to detect non-linear responses of flowering to climate change using GAMLSS. We use the flowering of four species (Eucalyptus leucoxylon, E. microcarpa, E. polyanthemos and E. tricarpa) as a case study. Regardless of cyclicity of flowering over time, this study shows that each species flowering is significantly influenced by temperature and this effect is non-linear. Stepwise GAMLSS showed that the main temperature driver of E. leucoxylon is minimum temperature (P<0.0001), maximum temperature for E. polyanthemos (P<0.0001), both minimum and maximum temperature (P<0.0001) for E. tricarpa, and mean temperature for E. microcarpa (P<0.0001). Rainfall was not a significant predictor of flowering. GAMLSS allowed for identification of upper/lower thresholds of temperature for flowering commencement/cessation; for the estimation of long and short-term non-linear effects of climate, and the identification of lagged cyclic effects of previous flowering.

Flowering intensity of all species was positively and significantly correlated with last month’s flowering (P<0.0001); and with flowering 12 months earlier for E. polyanthemos and E. microcarpa. Flowering of E. polyanthemos was negatively and significantly correlated with flowering intensity 2 and 4 months prior; in the case of E. microcarpa with flowering 6 and 8 months earlier. Overall, E. microcarpa and E. polyanthemos flower more intensely in response to predicted increases in mean and maximum temperature, respectively. E. leucoxylon flowers less intensely with predicted increases in minimum temperature; E. tricarpa flowers less intensely with increased maximum temperature, but more intensely with increased minimum temperature (after accounting for maximum temperature).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

Notes

  1. 1.

    In Bayesian statistics, parameters of prior distributions are called hyperparameters. This is to distinguish them from parameters of the model of the underlying data (Gelman et al. 2003).

References

  • Akaike H (1974) A new look at the statistical model identification. IEEE T Automat Contr 19:716–723

    Article  Google Scholar 

  • Akaike H (1983) Information measures and model selection. B Int Statist Inst 50:277–290

    Google Scholar 

  • Akantziliotou C, Rigby RA, Stasinopoulos DM (2002) The R implementation of generalized additive models for location, scale and shape. In: Stasinopoulos M, Touloumi G (eds) Statistical modelling in Society: Proceedings of the 17th International Workshop on statistical modelling Chania, Greece

    Google Scholar 

  • Ashton DH (1975) Studies of flowering behaviour in Eucalyptus regnans f. Muell. Aust J Bot 23:399–411

    Google Scholar 

  • Bassett OD, White MD, Dacy M (2006) Development and testing of seed-crop assessment models for three lowland forest eucalypts in East Gippsland, Victoria. Austalian Forestry 69:257–269

    Google Scholar 

  • Benjamin MA, Rigby RA, Stasinopoulos DM (2003) Generalized autoregressive moving average models. J Am Stat Assoc 98:214–223

    Article  Google Scholar 

  • Berger JO (1993) Statistical decision theory and Bayesian analysis. Springer, Berlin, Heidlelberg, New York

    Google Scholar 

  • Borghi E, de Onis M, Garza C et al. (2006) WHO child growth standards: methods and development. Stat Med 25:247–265

    Article  CAS  PubMed  Google Scholar 

  • Chambers LE (2006) Associations between climate change and natural systems in Australia. BAMS 87:201–206

    Article  Google Scholar 

  • Cole TJ, Green PJ (1992) Smoothing reference centile curves: The LMS method and penalized likelihood. Stat Med 11:1305–1319

    Article  CAS  PubMed  Google Scholar 

  • Cremer KW (1975) Temperature and other climatic influences on shoot development and growth of Eucalyptus regnans. Aust J Bot 26:27–44

    Google Scholar 

  • Dept. Sustainability and Environment (2008) Climate change in the North central region. In. Dept. Sustainability and Environment, East Melbourne, Victoria

    Google Scholar 

  • Eilers PHC, Marx BD (1996) Flexible smoothing with B-splines and penalties. Stat Sci 11:89–121

    Article  Google Scholar 

  • Eldridge K, Davidson J, Harwood C et al. (1993) Eucalypt domestication and breeding. Oxford University Press, New York

    Google Scholar 

  • Fahrmeir L, Lang S (2001) Bayesian inference for generalized additive mixed models based on markov random field priors. J R Stat Soc Ser C 50:201–220

    Article  Google Scholar 

  • Fitter AH, Fitter RSR, Harris ITB et al. (1995) Relationships between first flowering date and temperature in the flora of a locality of central England. Func Ecol 9:55–60

    Article  Google Scholar 

  • Fox J (1997) Applied regression analysis, linear models, and related methods. Sage, California

    Google Scholar 

  • Gelman A, Carlin JB, Stern HS et al. (2003) Bayesian data analysis. Chapman and Hall/CRC, Boca Raton

    Google Scholar 

  • Gelman A, Hill J (2006) Data analysis using regression and multilevel/hierarchical models. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Green PJ, Silverman BW (1994) Nonparametric regression and generalized linear models. Chapman and Hall/CRC, London

    Google Scholar 

  • Hastie T (2008) GAM: Generalized additive models. R package version 1.0. URL http://CRAN.R-project.org

  • Hastie TJ, Tibshirani RJ (1999) Generalized additive models. Chapman and Hall/CRC, Boca Raton

    Google Scholar 

  • Hudson IL, Barnett A, Keatley MR et al. (2003) Investigation into drivers for flowering: effects of climate on flowering. In: Verbeke G, Moelenberghs G, Aaerts M et al. (eds) Proceedings of the 18th International Workshop on Statistical Modelling Katholieke Universiteit Leuven, Belgium

    Google Scholar 

  • Hudson IL, Rea A, Dalrymple M (2008) Climate impacts on sudden infant death syndrome: A GAMLSS approach. In: Eilers PH (ed) Proceedings of the 23rd International workshop on statistical modelling, July 7–11, 2008, Ipskamp Partners, Enschede, The Netherlands

    Google Scholar 

  • IPCC (2007) Summary for policymakers. Climate change 2007: Impacts, adaptation and vulnerability Working Group II contribution to the Intergovernmental Panel on Climate Change fourth assessment report. Cambridge University Press, Cambridge

    Google Scholar 

  • Jiang J (2007) Linear and generalized linear mixed models and their applications. Springer, New York

    Google Scholar 

  • Keatley MR (1999) The flowering phenology of box-ironbark eucalypts in the Maryborough region, Victoria. Dissertation, The University of Melbourne

    Google Scholar 

  • Keatley MR, Hudson IL (1998) The influence of fruit and bud volumes on eucalypt flowering: An exploratory analysis. Aust J Bot 42:281–304

    Article  Google Scholar 

  • Keatley MR, Hudson IL (2000) Influences on the flowering phenology of three eucalypts. In: de Dear RJ, Kalma JD, Oke TR et al.(eds) Biometeorology and urban climatology at the turn of the century selected papers from the conference ICB-ICUC’ 99, World Meteorological Organisation, Geneva, Switzerland

    Google Scholar 

  • Keatley MR, Hudson IL (2007) A comparison of the long-term flowering patterns of box-ironbark species in Havelock and Rushworth forests. Environ Model Assess 12:279–292

    Article  Google Scholar 

  • Keatley MR, Hudson IL (2008) Shifts and changes in a 24 year Australian flowering record. In: Harmony within Nature. The 18th International Congress of Biometeorology Tokyo, Japan

    Google Scholar 

  • Keatley MR, Fletcher TD, Hudson IL et al. (2002) Phenological studies in Australia: Potential application in historical and future climate analysis. Int J Climate 22:1769–1780

    Article  Google Scholar 

  • Keatley MR, Hudson IL, Fletcher TD (2004) Long-term flowering synchrony of box-ironbark eucalypts. Aust J Bot 52:47–54

    Article  Google Scholar 

  • Kim SW, Hudson IL, Keatley MR (2005) Mixture transition distribution analysis of flowering and climatic states. In: Francis AR, Matawie KM, Oshlack A, Smyth GK (eds) Statistical Solutions to Modern Problems Proceedings of the 20th International Workshop on Statistical Modelling Sydney, Australia

    Google Scholar 

  • Kim SW, Hudson IL, Agrawal M et al. (2008) Modelling and synchronization of four Eucalyptus species via mixed transition distribution (MTD) and extended kalman filter (EKF). In: Eilers PHC (ed) Proceedings of the 23rd International Workshop on Statistical Modelling, Ipskamp Partners, Enschede, The Netherlands

    Google Scholar 

  • Law B, Mackowski L, Tweedie T (2000) Flowering phenology of myrtaceous trees and their relation to climate, environmental and disturbance variables in Northern New South Wales. Austral Ecology 25:160–178

    Google Scholar 

  • Leith H (ed) (1974) Phenology and seasonal modeling. Springer-Verlag, New York

    Google Scholar 

  • Lin X, Zhang D (1999) Inference in generalized additive mixed models by using smoothing splines. J Roy Statist Soc Ser B 61:381–400

    Article  Google Scholar 

  • Loomis RS, Connor DJ (1992) Crop ecology: productivity and management in agricultural systems. Cambridge University Press, Cambridge

    Google Scholar 

  • McKitrick MC (1993) Phylogenetic constraint in evolutionary theory: has it any explanatory power?. Ann Rev Ecol Syst 24:307–330

    Article  Google Scholar 

  • Menzel A (2002) Phenology: its importance to the global change community. Climatic Change 54:379–385

    Article  Google Scholar 

  • Menzel A, Sparks TH, Estrella N et al. (2006a) European phenological response to climate change matches the warming pattern. Global Change Biol 12:1969–1976

    Article  Google Scholar 

  • Menzel A, Sparks TH, Estrella N et al. (2006b) Altered geographic and temporal variability in phenology in response to climate change. Global Ecol Biogeogr 15:498–504

    Google Scholar 

  • Nelder JA, Wedderburn RWM (1972) Generalized linear models. J R Stat Soc Ser A 135:370–384

    Article  Google Scholar 

  • Pfeifer M, Heirich W, Jetschke G (2006) Climate, size and flowering history determine flowering pattern of an orchid. Bot J Linn Soc 151:511–526

    Article  Google Scholar 

  • Pinheiro JC, Bates DM (2000) Mixed-effects models in S and S-plus. Springer, New York

    Book  Google Scholar 

  • Porter JW (1978) Relationships between flowering and honey production of Red Ironbark, Eucalyptus sideroxylon (A. Cunn.) Benth., and climate in the Bendigo district of Victoria. Aust J Agric Res 29:815–829

    Article  Google Scholar 

  • Primack RB (1980) Variation in the phenology of natural populations of montane shrubs in New Zealand. J Ecol 68:849–862

    Article  Google Scholar 

  • Pryor LD, Johnson LAS (1971) A classification of the eucalypts. Australian National University, Canberra

    Google Scholar 

  • Development Core R Team (2007) R: A language and environment for statistical computing. URL http://www.R-project.org/

  • Rehfeldt GE, Tchebakova NM, Parfenova EI (2004) Genetic responses to climate and climate-change in conifers of the temperate and boreal forests. Recent Res Devel Genet Breed 1:113–130

    Google Scholar 

  • Rigby RA, Stasinopoulos DM (1996a) MADAM macros to fit mean and dispersion additive models. In: Scallan A, Morgan G (eds) Glim4 macro library manual, release 20, Numerical Algorithms Group, Oxford, pp 68–84

    Google Scholar 

  • Rigby RA, Stasinopoulos DM (1996b) Mean and dispersion additive models. In: Hardle W, Schimek MG (eds) Statistical theory and computational aspects of smoothing, Physica-Verlag, Heidelberg, pp 215–230

    Google Scholar 

  • Rigby RA, Stasinopoulos DM (2001) The GAMLSS project: A flexible approach to statistical modelling. In: Klein B, Korsholm L (eds) New Trends in Statistical Modelling: proceedings of the 16th International Workshop on Statistical Modelling Odense, Denmark

    Google Scholar 

  • Rigby RA, Stasinopoulos DM (2005) Generalized additive models for location, scale and shape. Appl Statist 54:507–554

    Google Scholar 

  • Rosenzweig C, Casassa G, Karoly DJ et al. (2007) Assessment of observed changes and responses in natural and managed systems. Climate change 2007: Impacts, adaptation and vulnerability. Contribution of Working Group II to the fourth assessment report of the Intergovernmental Panel on Climate Change. In: Parry ML, Canziani OF, Palutikof JP et al. (eds). Cambridge University Press, Cambridge, UK, pp 79–131

    Google Scholar 

  • Rosenzweig C, Karoly D, Vicarelli M et al. (2008) Attributing physical and biological impacts to anthropogenic climate change. Nature 453:353–358

    Article  CAS  PubMed  Google Scholar 

  • Royston P, Altman DG (1994) Regression using fractional polynomials of continuous covariates: parsimonious parametric modelling. Appl Statist 43:429–467

    Article  Google Scholar 

  • Schwarz G (1978) Estimating the dimension of a model. Ann Stat 6:461–464

    Article  Google Scholar 

  • Smith PL (1979) Splines as a useful and convenient statistical tool. Amer Statistician 33:57–62

    Article  Google Scholar 

  • Sparks TH (1999) Phenology and the changing pattern of bird migration in Britain. Int J Biometeorol 42:134–138

    Article  Google Scholar 

  • Sparks TH, Carey PD (1995) The responses of species to climate over two centuries: an analysis of the Marshman phenological record, 1736–1947. J Ecol 83:321–329

    Article  Google Scholar 

  • Sparks TH, Jeffree EP, Jeffree CE (2000) An examination of the relationship between flowering times and temperature at the national scale using long-term phenological records from the UK. Int J Biometeorol 44:82–87

    Article  CAS  PubMed  Google Scholar 

  • Stasinopoulos DM, Rigby RA (1992) Detecting break points in generalised linear models. Comput Stat Data An 13:461–471

    Article  Google Scholar 

  • Stasinopoulos DM, Rigby RA (2007) Generalized additive models for location scale and shape (GAMLSS) in R. J Stat Softw 23:1–46

    Google Scholar 

  • Thomson JD (1980) Skewed flowering distributions and pollinator attraction. Ecology 61:572–579

    Article  Google Scholar 

  • Traill B (1991) Box-ironbark forests: tree hollows, wildlife and management. In: Lunney D (ed) Conservation of Australia’s forest fauna, Royal Zoological Society of NSW, Mosman, pp 119–123

    Google Scholar 

  • Tzaros C (2005) Wildlife of the box-ironbark country. CSIRO Publishing, Collingwood

    Google Scholar 

  • Visser ME, Both C (2005) Shifts in phenology due to global climate change: the need for a yardstick. Proc Roy Soc London B 272:2561–2569

    Article  Google Scholar 

  • Walther G-R, Post E, Convey P et al. (2002) Ecological responses to recent climate change. Nature 416:389–395

    Article  CAS  PubMed  Google Scholar 

  • Waser NM (1983) Competition for pollination and floral character differences among sympatric plant species: A review of evidence. In: Jones CE, Little RJ (eds) Handbook of experimental pollination biology, Van Nostrand Reinhold Company, New York, pp 277–292

    Google Scholar 

  • Wielgolaski F-E (1999) Starting dates and basic temperatures in phenological observations of plants. Int J Biometeorol 42:158–168

    Article  Google Scholar 

  • Yang S, Logan J, Coffey DL (1995) Mathematical formulae for calculating the base temperature for growing degree days. Agr Forest Meteorol 74:61–74

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Irene L. Hudson .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer Science+Business Media B.V.

About this chapter

Cite this chapter

Hudson, I.L., Kim, S.W., Keatley, M.R. (2010). Climatic Influences on the Flowering Phenology of Four Eucalypts: A GAMLSS Approach. In: Hudson, I., Keatley, M. (eds) Phenological Research. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3335-2_10

Download citation

Publish with us

Policies and ethics