title: Global data for ecology and epidemiology: a novel algorithm for temporal Fourier processing MODIS data.
abstract: BACKGROUND
  Remotely-sensed environmental data from earth-orbiting satellites are increasingly used to model the distribution and abundance of both plant and animal species, especially those of economic or conservation importance. Time series of data from the MODerate-resolution Imaging Spectroradiometer (MODIS) sensors on-board NASA's Terra and Aqua satellites offer the potential to capture environmental thermal and vegetation seasonality, through temporal Fourier analysis, more accurately than was previously possible using the NOAA Advanced Very High Resolution Radiometer (AVHRR) sensor data. MODIS data are composited over 8- or 16-day time intervals that pose unique problems for temporal Fourier analysis. Applying standard techniques to MODIS data can introduce errors of up to 30% in the estimation of the amplitudes and phases of the Fourier harmonics.
  
  
  RESULTS
  We present a novel spline-based algorithm that overcomes the processing problems of composited MODIS data. The algorithm is tested on artificial data generated using randomly selected values of both amplitudes and phases, and provides an accurate estimate of the input variables under all conditions. The algorithm was then applied to produce layers that capture the seasonality in MODIS data for the period from 2001 to 2005.
  
  
  CONCLUSIONS
  Global temporal Fourier processed images of 1 km MODIS data for Middle Infrared Reflectance, day- and night-time Land Surface Temperature (LST), Normalised Difference Vegetation Index (NDVI), and Enhanced Vegetation Index (EVI) are presented for ecological and epidemiological applications. The finer spatial and temporal resolution, combined with the greater geolocational and spectral accuracy of the MODIS instruments, compared with previous multi-temporal data sets, mean that these data may be used with greater confidence in species' distribution modelling.
authors.affiliation: Spatial Ecology and Epidemiology Group, Department of Zoology, University of Oxford, Oxford, United Kingdom.
authors.forename: Jörn P W
authors.initials: JP
authors.lastname: Scharlemann
authors.forename: David
authors.initials: D
authors.lastname: Benz
authors.forename: Simon I
authors.initials: SI
authors.lastname: Hay
authors.forename: Bethan V
authors.initials: BV
authors.lastname: Purse
authors.forename: Andrew J
authors.initials: AJ
authors.lastname: Tatem
authors.forename: G R William
authors.initials: GR
authors.lastname: Wint
authors.forename: David J
authors.initials: DJ
authors.lastname: Rogers
mesh_terms: D000465:Algorithms; D004463:Ecology; D004813:Epidemiology; D005583:Fourier Analysis