How sample size can effect landslide size distribution

Geoenvironmental Disasters

Table 1 Statistical characteristics of landslide dataset and subsets

Dataset^a	N ^b	Area^c (m²)			Double Pareto		Inverse Gamma
Dataset^a	N ^b	Min	Max	Mean	γ ^d	R ^e (m²)	γ	R (m²)
XW	12,524	8	48,846	695	−2.26	124.63	−2.36	121.57
R1	6,297	8	48,846	1,021	−2.16	133.82	−2.18	137.85
R2	6,227	18	10,224	365	−2.81	136.33	−3.27	128.49

^aDataset: “XW” indicates the entire XW dataset, “R1” and “R2” indicate subsets of the XW dataset characterized by a cumulative rainfall of lower and higher than 450 mm, respectively
^b N: number of landslides in a dataset (sample size)
^cArea: “Min”, “Max” and “Mean” indicate the minimum, maximum and mean landslide area of a dataset respectively
^d γ: scaling exponent of the power law tail of the landslide area probability distribution fitted using the maximum likelihood method
^e R: rollover of the landslide area probability distribution fitted using the maximum likelihood method