@article{fdi:010049594, title = {{M}ultiscale comparison of spatial patterns using two-dimensional cross-spectral analysis : application to a semi-arid (gapped) landscape}, author = {{B}arbier, {N}icolas and {C}outeron, {P}ierre and {P}lanchon, {O}livier and {D}iouf, {A}.}, editor = {}, language = {{ENG}}, abstract = {{S}pectral analysis allows the characterization of temporal (1{D}) or spatial (2{D}) patterns in terms of their scale (frequency) distribution. {C}ross-spectral analysis can also be used to conduct independent correlation analyses at different scales between two variables, even in the presence of a complex superposition of structures, such as structures that are shifted, have different scales or have different levels of anisotropy. {T}hese well-grounded approaches have rarely been applied to two-dimensional ecological datasets. {I}n this contribution, we illustrate the potential of the method. {W}e start by providing a basic methodological introduction, and we clarify some technical points concerning the computation of two-dimensional coherency and phase spectra and associated confidence intervals. {F}irst, we illustrate the method using a simple theoretical model. {N}ext, we present a real world application: the case of patterned (gapped) vegetation in {SW} {N}iger. {I}n this example, we investigate the functional relationships between topography and the spatial distribution of two shrub species, {C}ombretum micranthum {G}. {D}on. and {G}uiera senegalensis {J}.{F}. {G}mel. {W}e show that both the global vegetation pattern and the distribution of {C}. micranthum are independent at all analyzable scales (i.e., from 10 to 50 m) from possible relief-induced determinisms. {A}dditionally, the two dominant shrub species form distinct patches, thus suggesting separate niches.}, keywords = {{M}ap comparison ; {C}ross-covariance ; {T}wo-dimensional {F}ourier transform ; {S}patial ecology ; {S}elf-organization ; {P}eriodic vegetation patterns ; {T}iger bush ; {N}iger}, booktitle = {}, journal = {{L}andscape {E}cology}, volume = {25}, numero = {6}, pages = {889--902}, ISSN = {0921-2973}, year = {2010}, DOI = {10.1007/s10980-010-9466-1}, URL = {https://www.documentation.ird.fr/hor/fdi:010049594}, }