Abstract
We propose to investigate spatial synchrony in population dynamics from monitoring data. We develop a statistical procedure to delineate populations of sites with synchronous dynamics from short time series. The procedure relies on a new norm, the synchronous total variation norm, which promotes synchrony in the estimation of the sites dynamics. The method is tested on some synthetic data sets and is applied on data from the French breeding bird monitoring program.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bickel P, Ritov Y, Tsybakov A (2009) Simultaneous analysis of lasso and dantzig selector. Ann Stat 37(4): 1705–1732
Candès E, Recht B (2009) Exact matrix completion via convex optimization. Found Comput Math 9(6): 717–772
Candès E, Tao T (2010) The power of convex relaxation: near-optimal matrix completion. IEEE Trans Inf Theory 56(5): 2053–2080
Chambolle A, Caselles V, Novaga M, Cremers D, Pock T (2010) An introduction to total variation for image analysis. Radon Ser Comp Appl Math 9: 1–78
Devictor V, Julliard R, Couvet D, Jiguet F (2008) Birds are tracking climate warming, but not fast enough. Proc R Soc B Biol Sci 275: 2743–2748
Grenfell B, BjornstadO Kappey J (2001) Travelling waves and spatial hierarchies in measles epidemics. Nature 414: 716–723
Hassell M (2000) The spatial and temporal dynamics of hostparasitoid interactions. Oxford University Press, Oxford
Heino M, Kaitala V, Ranta E, Lindstrom J (1997) Synchronous dynamics and rates of extinction in spatially structured populations. Proc R Soc Lond Ser B Biol Sci 264: 481–486
Jiguet F, Devictor V, Julliard R, Couvet D (2011) French citizens monitoring ordinary birds provide tools for conservation and ecological sciences. Acta Oecol. doi:10.1016/j.actao.2011.05.003
Liebhold A, Koenig W, Bjornstad O (2004) Spatial synchrony in population dynamics. Annu Rev Ecol Evol Syst 35: 467–490
Meinshausen N, Bühlman P (2006) High dimensional graphs and variable selection with the lasso. Ann Stat 34: 1436–1462
Moran P (1953) The statistical analysis of the Canadian lynx cycle. 2. Synchronization and meteorology. Aust J Zool 1: 291–298
Paradis E, Baillie SR, Sutherland WJ, Gregory RD (1999) Dispersal and spatial scale affect synchrony in spatial population dynamics. Ecol Lett 2: 114–120
Ranta E, Kaitala V (1997) Travelling waves in vole population dynamics. Nature 390: 456–456
Ranta E, Kaitala V, Lindstrom J, Linden H (1995) Synchrony in population dynamics. Proc R Soc Lond Ser B Biol Sci 262: 113–118
Rudin L, Osher SJ, Fatemi E (1992) Nonlinear total variation based noise removal algorithms. Phys D 60: 259–268
Schmeller DS (2008) European species and habitat monitoring: where are we now?. Biodivers Conserv 17: 3321–3326
Schmeller D, Henry P, Julliard R, Gruber B, Clobert J, Dziock F et al (2009) Advantages of volunteer-based biodiversity monitoring in Europe. Conserv Biol 23: 307–316
Sutcliffe OL, Thomas CD, Moss D (1996) Spatial synchrony and asynchrony in butterfly population dynamics. J Anim Ecol 65: 85–95
Tibshirani R (1996) Regression shrinkage and selection via the lasso. J R Stat Soc Ser B 58(1): 267–288
Zou H (2006) The adaptive lasso and its oracle properties. J Am Stat Assoc 101(476): 1418–1429
Author information
Authors and Affiliations
Corresponding author
Additional information
Handling Editor: Ashis SenGupta.
Rights and permissions
About this article
Cite this article
Giraud, C., Julliard, R. & Porcher, E. Delimiting synchronous populations from monitoring data. Environ Ecol Stat 20, 337–352 (2013). https://doi.org/10.1007/s10651-012-0222-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10651-012-0222-3