Supplementary material - Berghuijs & Woods – International Journal of Climatology
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Supplementary material
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3
A simple framework to quantitatively describe
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monthly precipitation and temperature climatology
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Wouter R. Berghuijs*, Ross A. Woods
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*Corresponding author
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wb14708@bristol.ac.uk
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Department of Civil Engineering, University of Bristol, Bristol, BS8 1TR, United
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Kingdom
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Supplementary material - Berghuijs & Woods – International Journal of Climatology
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Supplement Section 2.2
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̅ because Cr is numerically
The time-averaged value of P(t) can deviate from P
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approximated (see Figure S1), depending on the 𝛿𝑃 and sd values
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̅ values that occur for different 𝛿𝑃 values
Figure S1: Range of the time average P(t)/P
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because the inaccuracy of the correction factor Cr.
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Supplementary material - Berghuijs & Woods – International Journal of Climatology
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Supplement Section 3.2
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Figure S2: Delineation of the land surface in regions according to the precipitation
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̅).
error (XP), precipitation seasonality (δP ), and mean precipitation rate (P
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Supplementary material - Berghuijs & Woods – International Journal of Climatology
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Table S1: A description of the precipitation pattern for regions where Xp exceeds 0.3
Region
Description
South-West United States,
Part of southwestern United States (around Arizona, New Mexico) has a bimodal precipitation
North-West Mexico
regime with a distinct monsoon season during summer time, while total annual precipitation is
generally low (P<300 mm/y). This North American Monsoon season also influences northwestern
Mexico [Adams & Comrie, 1997]. On the peninsula of the Baja California (Mexico) the
precipitation rates get so low (P<100 mm/y) that no repetitive patterns can be identified.
West coast South America
Very low precipitation rates (<100 mm/y) with too few precipitation events to identify a repetitive
seasonal pattern.
Sahara
Very low precipitation rates with too few precipitation events to identify a repetitive seasonal
pattern.
Horn of Africa
Precipitation climatology in Somalia, Ethiopia shows a bimodal pattern, with highly seasonal
precipitation, mostly occurring around April and October.
West coast of southern and
Very low precipitation rates (<100 mm/y) with too few precipitation events to identify a repetitive
central Africa
seasonal pattern.
Saudi-Arabia
Very low precipitation rates (<100 mm/y) with too few precipitation events to identify a repetitive
seasonal pattern.
Iran, Afghanistan, Pakistan, and
north(east) India
South India, Sri Lanka
Seasonal precipitation regime with an annual period, but low precipitation rates (P<300 mm/y)
with too few precipitation events to systematically identify a repetitive seasonal pattern.
Hyper seasonal precipitation regime leads to significant errors, but most seasonal variability of
precipitation is captured.
China and Russia
A mixture of precipitation patterns that therefor can have multiple reasons it deviates from the
analytical approximation.
Western-Australia
Highly seasonal precipitation regime that first order corresponds to the observed precipitation
regime.
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References
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Adams, D. K., & Comrie, A. C. (1997). The north American monsoon. Bulletin of the
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American Meteorological Society, 78(10), 2197-2213.
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Supplementary material - Berghuijs & Woods – International Journal of Climatology
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Supplement section 4
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Table S2: Class boundaries (second row), class description, and the number of grid
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cells assigned to the class.
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̅
𝐏
̅
𝐓
361/671
[mm/y]
𝛅𝐏
1.6/21.9 0.47/0.82
[oC] [-]
𝚫𝐓
sd
# of cells
9.1/17.0
-0.12/0.12
[oC]
[year]
L
L
L
L
L
0
L
L
L
L
M
0
L
L
L
M
L
82
L
L
L
M
M
10
L
L
L
M
L
334
L
L
L
H
M
28
L
L
M
L
L
0
L
L
M
L
M
0
L
L
M
M
L
90
L
L
M
M
M
1
L
L
M
H
L
3140
L
L
M
H
M
4
L
L
H
L
L
0
L
L
H
L
M
0
L
L
H
M
L
177
L
L
H
M
M
0
L
L
H
H
L
848
L
L
H
H
M
0
L
M
L
L
L
173
L
M
L
L
M
81
L
M
L
M
L
376
L
M
L
M
M
608
L
M
L
H
L
581
L
M
L
H
M
505
L
M
M
L
L
41
L
M
M
L
M
30
L
M
M
M
L
252
L
M
M
M
M
203
L
M
M
H
L
375
L
M
M
H
M
126
L
M
H
L
L
87
L
M
H
L
M
32
Supplementary material - Berghuijs & Woods – International Journal of Climatology
L
M
H
M
L
168
L
M
H
M
M
560
L
M
H
H
L
402
L
M
H
H
M
74
L
H
L
L
L
15
L
H
L
L
M
60
L
H
L
M
L
198
L
H
L
M
M
490
L
H
L
H
L
0
L
H
L
H
M
0
L
H
M
L
L
125
L
H
M
L
M
130
L
H
M
M
L
582
L
H
M
M
M
399
L
H
M
H
L
0
L
H
M
H
M
0
L
H
H
L
L
987
L
H
H
L
M
251
L
H
H
M
L
806
L
H
H
M
M
1057
L
H
H
H
L
0
L
H
H
H
M
0
M
L
L
L
L
3
M
L
L
L
M
3
M
L
L
M
L
885
M
L
L
M
M
189
M
L
L
H
L
1383
M
L
L
H
M
107
M
L
M
L
L
0
M
L
M
L
M
0
M
L
M
M
L
167
M
L
M
M
M
27
M
L
M
H
L
3321
M
L
M
H
M
4
M
L
H
L
L
0
M
L
H
L
M
0
M
L
H
M
L
223
M
L
H
M
M
4
M
L
H
H
L
1255
M
L
H
H
M
0
M
M
L
L
L
167
M
M
L
L
M
215
Supplementary material - Berghuijs & Woods – International Journal of Climatology
M
M
L
M
L
1295
M
M
L
M
M
692
M
M
L
H
L
202
M
M
L
H
M
116
M
M
M
L
L
164
M
M
M
L
M
20
M
M
M
M
L
627
M
M
M
M
M
200
M
M
M
H
L
261
M
M
M
H
M
0
M
M
H
L
L
222
M
M
H
L
M
21
M
M
H
M
L
306
M
M
H
M
M
127
M
M
H
H
L
157
M
M
H
H
M
1
M
H
L
L
L
56
M
H
L
L
M
82
M
H
L
M
L
1
M
H
L
M
M
0
M
H
L
H
L
0
M
H
L
H
M
0
M
H
M
L
L
201
M
H
M
L
M
50
M
H
M
M
L
25
M
H
M
M
M
1
M
H
M
H
L
0
M
H
M
H
M
0
M
H
H
L
L
812
M
H
H
L
M
682
M
H
H
M
L
197
M
H
H
M
M
17
M
H
H
H
L
0
M
H
H
H
M
0
H
L
L
L
L
8
H
L
L
L
M
35
H
L
L
M
L
299
H
L
L
M
M
405
H
L
L
H
L
484
H
L
L
H
M
45
H
L
M
L
L
0
H
L
M
L
M
2
Supplementary material - Berghuijs & Woods – International Journal of Climatology
H
L
M
M
L
109
H
L
M
M
M
59
H
L
M
H
L
415
H
L
M
H
M
3
H
L
H
L
L
2
H
L
H
L
M
0
H
L
H
M
L
153
H
L
H
M
M
7
H
L
H
H
L
173
H
L
H
H
M
4
H
M
L
L
L
379
H
M
L
L
M
421
H
M
L
M
L
900
H
M
L
M
M
631
H
M
L
H
L
69
H
M
L
H
M
0
H
M
M
L
L
597
H
M
M
L
M
189
H
M
M
M
L
581
H
M
M
M
M
63
H
M
M
H
L
10
H
M
M
H
M
4
H
M
H
L
L
734
H
M
H
L
M
239
H
M
H
M
L
97
H
M
H
M
M
48
H
M
H
H
L
47
H
M
H
H
M
9
H
H
L
L
L
697
H
H
L
L
M
1176
H
H
L
M
L
0
H
H
L
M
M
0
H
H
L
H
L
0
H
H
L
H
M
0
H
H
M
L
L
630
H
H
M
L
M
1262
H
H
M
M
L
0
H
H
M
M
M
0
H
H
M
H
L
0
H
H
M
H
M
0
H
H
H
L
L
796
H
H
H
L
M
2609
Supplementary material - Berghuijs & Woods – International Journal of Climatology
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H
H
H
M
L
26
H
H
H
M
M
69
H
H
H
H
L
0
H
H
H
H
M
0