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Space-time modeling for post-fire vegetation recovery

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Abstract

Recently, there has been increased interest in the behavior of wildfires. Behavior includes explaining: incidence of wildfires; recurrence times for wildfires; sizes, scars, and directions of wildfires; and recovery of burned regions after a wildfire. We study this last problem. In particular, we use the annual normalized difference vegetation index (NDVI) to provide a picture of vegetative levels. Employed post-wildfire, it provides a picture of vegetative recovery. The contribution here is to model post-fire vegetation recovery from a different perspective. What exists in the literature specifies a parametric monotone form for the recovery function and then fits it to the available data. However, recovery need not be monotone; NDVI levels may increase or decrease annually according to climate variables. Furthermore, when there is recovery, it need not follow a simple parametric form. Instead, we view recovery in a relative way. We model what NDVI would look like over the fire scar in the absence of a wildfire. Then, we can examine NDVI recovery locally, employing the observed NDVI recovery at a location relative to the predictive distribution of NDVI at that location. We work with wildfire data from the Communidad Autonomía of Aragón in Spain. We develop our approach in two stages. First, we validate the predictability of NDVI in the absence of wildfire. Then, we study annual recovery and evolution of recovery for an illustrative wildfire region. We work within a hierarchical Bayes framework, adopting suitable dynamic spatial models, attaching full uncertainty to our inference on recovery.

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Notes

  1. NDVI values are aggregated from 30m to 60m by averaging.

References

  • Banerjee S, Carlin B, Gelfand A (2014) Hierarchical modeling and analysis for spatial data, 2nd edn. Chapman and Hall/CRC, Boca Raton

    Google Scholar 

  • Besag J (1974) Spatial interaction and the statistical analysis of lattice systems. J R Stat Soc Ser B 36:192–236

    Google Scholar 

  • De Santis A, Chuvieco E (2007) Burn severity estimation from remotely sensed data: performance of simulation versus empirical models. Remote Sens Environ 108:422–435

    Article  Google Scholar 

  • Díaz-Delgado R, Pons X (2001) Spatial patterns of forest fires in Catalonia (NE of Spain) along the period 1975–1995: analysis of vegetation recovery after fire. For Ecol Manag 147:67–74

    Article  Google Scholar 

  • Díaz-Delgado R, Lloret F, Pons X (2003) Influence of fire severity on plant regeneration by means of remote sensing imagery. Int J Remote Sens 24:1751–1763

    Article  Google Scholar 

  • Epting J, Verbyla D, Sorbel B (2005) Evaluation of remotely sensed indices for assessing burn severity in interior Alaska using Landsat TM and ETM+. Remote Sens Environ 96:328–339

    Article  Google Scholar 

  • Fisher R (1915) Frequency distribution of the values of the correlation coefficient in samples of an indefinitely large population. Biometrika 10:507–521

    Google Scholar 

  • Gelfand A, Banerjee S, Gamerman D (2005) Spatial process modelling for univariate and multivariate dynamic spatial data. Environmetrics 16:465–479

    Article  Google Scholar 

  • Glenn E, Huete S, Nagler P, Nelson S (2008) Relationship between remotely-sensed vegetation indices, canopy attributes and plant physiological processes: what vegetation indices can and cannot tell us about the landscape. Sensors 8:2136–2160

    Article  Google Scholar 

  • Gneiting T, Raftery A (2007) Strictly proper scoring rules, prediction, and estimation. J Am Stat Assoc 102:359–378

    Article  CAS  Google Scholar 

  • Gouveia C, DaCamara C, Trigo R (2010) Post-fire vegetation recovery in Portugal based on spot/vegetation data. Nat Hazards Earth Syst Sci 10:673–684

    Article  Google Scholar 

  • Huang S, Jin S, Dahal D, Chen X, Young C, Liu H, Liu S (2013) Reconstructing satellite images to quantify spatially explicit land surface change caused by fires and succession: a demonstration in the Yukon River Basin of interior Alaska. ISPRS J Photogramm Remote Sens 79:94–105

    Article  Google Scholar 

  • Jakubauskas M, Lulla K, Mausel P (1990) Assessment of vegetation change in a fire-altered forest landscape. Photogramm Eng Remote Sens 56:371–377

    Google Scholar 

  • Key C, Benson N (2006) Landscape assessment. In: Lutes D, Keane R, Caratti J, Key C, Benson N, Sutherland S, Gangi L (eds) Firemon, fire effects monitoring and inventory system. USDA Forest Service, Ogden, pp 1–55

    Google Scholar 

  • McKenzie D, Gedalof Z, Peterson D, Mote P (2004) Climatic change, wildfire, and conservation. Conserv Biol 18:890–902

    Article  Google Scholar 

  • Miller J, Thode A (2007) Quantifying burn severity in a heterogeneous landscape with a relative version of the delta Normalized Burn Ratio (dNBR). Remote Sens Environ 109:66–80

    Article  Google Scholar 

  • Moreno M, Conedera M, Chuvieco E, Pezzatti G (2014) Fire regime changes and major driving forces in Spain from 1968 to 2010. Environ Sci Policy 37:11–22

    Article  Google Scholar 

  • Naveh Z (1975) The evolutionary significance of fire in the Mediterranean region. Vegetatio 29:199–208

    Article  Google Scholar 

  • Parks S, Dillon G, Miller C (2014) A new metric for quantifying burn severity: the relativized burn ratio. Remote Sens 6:1827–1844

    Article  Google Scholar 

  • Pausas J (2001) Resprouting vs seeding a Mediterranean perspective. Oikos 94:193–194

    Article  Google Scholar 

  • Pausas J (2003) The effect of landscape pattern on Mediterranean vegetation dynamics—a modelling approach using functional types. J Veg Sci 14:365–374

    Article  Google Scholar 

  • Pausas J, Keeley J (2009) A burning story: the role of fire in the history of life. Bioscience 59:593–601

    Article  Google Scholar 

  • Pérez-Cabello F, Echeverría M, Ibarra P, Riva J (2009) Effects of fire on vegetation, soil and hydrogeomorphological behavior in Mediterranean ecosystems. In: Chuvieco E (ed) Earth observation of wildland fires in Mediterranean ecosystems. Springer, Berlin, pp 111–128

    Chapter  Google Scholar 

  • Petropoulos G, Griffiths M, Kalivas D (2014) Quantifying spatial and temporal vegetation recovery dynamics following a wildfire event in a Mediterranean landscape using EO data and GIS. Appl Geogr 50:120–131

    Article  Google Scholar 

  • Röder A, Duguy B, Alloza J, Vallejo R, Hill J (2008) Using long time series of Landsat data to monitor fire events and post-fire dynamics and identify driving factors. Remote Sens Environ 112:259–273

    Article  Google Scholar 

  • Rouse J, Hass R, Schell J, Deering D (1974) Monitoring vegetation systems in the great plains with ERTS. NASA Spec Publ 351:309

    Google Scholar 

  • Stroud J, Müller P, Sansó B (2001) Dynamic models for spatio-temporal data. J R Stat Soc Ser B 63:673–689

    Article  Google Scholar 

  • Trabaud L (1994) Post-fire plant community dynamics in the Mediterranean basin. In: Moreno J, Oechel W (eds) The role of fire in Mediterranean-type ecosystems. Springer, New York

    Google Scholar 

  • Veraverbeke S, Gitas I, Katagis T, Polychronaki A, Somers B, Goossens R (2012) Assessing post-fire vegetation recovery using red-near infrared vegetation indices: accounting for background and vegetation variability. ISPRS J Photogramm Remote Sens 68:28–39

    Article  Google Scholar 

  • Vicente-Serrano S, Beguera S, López-Moreno J (2010) A Multi-scalar drought index sensitive to global warming: the standardized precipitation evapotranspiration index SPEI. J Clim 23:1696–1718

    Article  Google Scholar 

  • Vicente-Serrano S, Pérez-Caballo F, Lasanta T (2011) Pinus halepensis regeneration after a wildfire in a semi-arid environment: assessment using multi-temporal Landsat images. Int J Wildl Fire 20:195–208

    Article  Google Scholar 

  • Viedma O, Meliá J, Segarra D, García-Haro J (1997) Modeling rates of ecosystem recovery after fires by using Landsat TM data. Remote Sens Environ 61:383–398

    Article  Google Scholar 

  • Vila G, Barbosa P (2010) Post-fire vegetation regrowth detection in the Deiva Marina region (Liguria-Italy) using Landsat TM and ETM+ data. Ecol Model 221:75–84

    Article  Google Scholar 

  • van Wagtendonk J, Root R, Key C (2004) Comparison of AVIRIS and Landsat ETM+ detection capabilities for burn severity. Remote Sens Environ 92:397–408

    Article  Google Scholar 

  • West M, Harrison J (1997) Bayesian forecasting and dynamic models, 2nd edn. Springer, New York

    Google Scholar 

  • Wilson A, Latimer A, Silander J Jr, Gelfand A, de Klerk H (2010) A hierarchical bayesian model of wildfire in a Mediterranean biodiversity hotspot: Implications of weather variability and global circulation. Ecol Model 221:106–112

    Article  Google Scholar 

  • Wilson A, Latimer A, Silander J Jr (2015) Climatic controls on ecosystem resilience: post-fire regeneration in the Cape Floristic Region of South Africa. PNAS 112:9058–9063

    Article  CAS  Google Scholar 

  • Yang Y, Xu J, Hong Y, Lv G (2012) The dynamic of vegetation coverage and its response to climate factors in Inner Mongolia, China. Stoch Environ Res Risk Assess 26:357–373

    Article  Google Scholar 

Download references

Acknowledgments

The research of the first author was partially supported by the Statistical and Applied Mathematical Sciences Institute (SAMSI) within the Program on Mathematical and Statistical Ecology 2014–2015. The research of the second authors was facilitated by a travel award from Campus IBERUS. The work of the third author was supported in part by Grupo Consolidado Modelos Stocasticos, E-22 DGA. The work of the fourth and fifth authors was done under the Instituto Universitario de Investigacion en Ciencias Ambientales (IUCA). The authors thank Adam Wilson for providing a preprint of his forthcoming PNAS paper. We thank the anonymous reviewers for their comments which have improved the paper.

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Correspondence to Lucia Paci.

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Paci, L., Gelfand, A.E., Beamonte, M.A. et al. Space-time modeling for post-fire vegetation recovery. Stoch Environ Res Risk Assess 31, 171–183 (2017). https://doi.org/10.1007/s00477-015-1182-6

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