@article{fdi:010049411, title = {{A} multifractal model for spatial variation in species richness}, author = {{L}aurie, {H}. and {P}errier, {E}dith}, editor = {}, language = {{ENG}}, abstract = {{MF}p1p2 is a self-similar multifractal that generalises the model of scaling in species richness due to {H}arte et al. {W}ane, {J}., {K}inzig, {A}., {G}reen, {J}., 1999. {S}elf-similarity in the distribution and abundance of species. science 284, 334-336]. {I}t quantifies the scaling in the variation as well as the mean of species richness. {T}he construction is based on a cascade of bisections of a rectangle. {T}he two parameters of the model are pi, the proportion of species that occur in the richer half, and p(2), the proportion of species that occur in the poorer half. {A}n equivalent parameterisation is a = (p1 + p(2))/2 and b = p(2)/p(1). {T}hese parameters are interpreted as follows: a gives the scaling of mean richness, b gives the scaling of spatial variation around that mean. {S}everal properties of {MF}p1p2 are derived, a generalisation is noted and some applications are suggested.}, keywords = {{M}ultifractal ; {S}pecies-area relationship ; {P}ower law ; {S}patial scaling ; {S}patial variability}, booktitle = {}, journal = {{E}cological {C}omplexity}, volume = {7}, numero = {1}, pages = {32--35}, ISSN = {1476-945{X}}, year = {2010}, DOI = {10.1016/j.ecocom.2009.03.007}, URL = {https://www.documentation.ird.fr/hor/fdi:010049411}, }