caa a22 4500 477063152 CHVBK 20180405111406.0 cr unu---uuuuu 170330e19960601xx s 000 0 eng 10.1007/BF00054785 doi (NATIONALLICENCE)springer-10.1007/BF00054785 Mase Shigeru Division of Mathematical and Information Sciences, Faculty of Integrated Arts and Sciences, Hiroshima University, Kagamiyama 1-3, 739, Higashi-Hiroshima, Japan aut The threshold method for estimating total rainfall [Elektronische Daten] [Shigeru Mase] The threshold method estimates the total rainfall F G in a region G using the area B G of the subregion where rainfall intensity exceeds a certain threshold value c. We model the rainfall in a region by a marked spatial point process and derive a correlation formula between F G and B G. This correlation depends not only on the rainfall distribution but also on the variation of number of raining sites, showing the importance of taking account of the spatial character of rainfall. In the extreme case where the variation of number of raining sites is dominant, the threshold method may work regardless of rainfall distributions and even regardless of threshold values. We use the lattice gas model from statistical physics to model raining sites and show a huge variation in the number of raining sites is theoretically possible if a phase transition occurs, that is, physically different states coexist. Also, we show by radar observation datasets that there are huge variations of raining sites actually. The Institute of Statistical Mathematics, 1996 Threshold method nationallicence meteorology nationallicence rainfall nationallicence radar nationallicence marked spatial point process nationallicence linear regression nationallicence lattice gas model nationallicence Gibbsian process nationallicence potential nationallicence phase transition nationallicence non-ergodicity nationallicence Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/2(1996-06-01), 201-213 0020-3157 48:2<201 1996 48 10463 https://doi.org/10.1007/BF00054785 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00054785 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mase Shigeru Division of Mathematical and Information Sciences, Faculty of Integrated Arts and Sciences, Hiroshima University, Kagamiyama 1-3, 739, Higashi-Hiroshima, Japan aut NATIONALLICENCE 773 0- Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/2(1996-06-01), 201-213 0020-3157 48:2<201 1996 48 10463 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer