Table 4: Results of Ryan. Joyner test.

Station Ryan. Joyner
p-value		 Station Ryan. Joyner
p-value		 Station Ryan. Joyner
p-value		 Station Ryan. Joyner
p-value
ABADAN 0.030 DOUSHAN TAPPEH 0.030 KERMAN 0.041 RAVANSAR 0.044
ABADEH 0.378 EGHLIDE FARS 0.040 KERMANSHAH 0.044 ROBAT POSHTBADAM 0.050
ABALI 0.075 ESFAHAN 0.040 KHALKHAL 0.084 SABZEVAR 0.045
AHAR 0.011 ESLAMABAD GHARB 0.013 KHASH 0.134 SAD DOROUDZAN 0.600
AHWAZ 0.049 FASSA 0.014 KHODABANDEH 0.022 SAFIABAD 0.550
ALIGOODARZ 0.110 FERDOUS 0.022 KHOOR BIABANAK 0.051 SAGHEZ 0.034
ANAR 0.400 FIROUZKOOH 0.011 KHORRAMABAD 0.340 SANANDAJ 0.550
ARAK 0.011 GARMSAR 0.043 KHORRAMDAREH 0.040 SAR POL ZOHAB 0.034
ARDEBIL 0.047 GHAEN 0.033 KHOY 0.050 SARAB 0.033
ARDESTAN 0.031 G. GHAEMSHR 0.021 KOOHRANG 0.040 SARAKHS 0.040
ASTARA 0.330 GHAZVIN 0.046 LAR 0.010 SARAVAN 0.033
BABOLSAR 0.043 GHOM 0.038 LORDEGAN 0.410 SEMNAN 0.034
BAFGH 0.047 GHOOCHAN 0.041 MAHABAD 0.655 SHAHR BABAK 0.021
BAM 0.372 GHORVEH 0.083 MAKOO 0.800 SHAHREKORD 0.030
B. ABASS 0.167 GOLMAKAN.C 0.044 MALAYER 0.041 SHAHREZA 0.010
B. ANZALI 0.033 GONABAD 0.032 MANJIL 0.230 SHAHROUD 0.020
B. DAIER 0.043 GORGAN 0.030 MARAGHEH 0.440 SHARGH ESFAHAN 0.012
B.LENGEH 0.030 HAMEDAN .F 0.049 MARIVAN 0.657 SHIRAZ 0.023
B.MAHSHAHR 0.400 HAMEDAN.N 0.048 MARVAST 0.040 SHOMALE TEHRAN 0.011
BEHBAHAN 0.030 HA. DARAB 0.033 MASHHAD 0.041 SIRJAN 0.032
BIARJAMAND 0.050 ILAM 0.020 MASJED SOLEYMAN 0.022 TABASS 0.034
BIJAR 0.031 IRANSHAHR 0.032 MESHKINSHAHR 0.040 TABRIZ 0.041
BIRJAND 0.051 JASK 0.031 MIANDEH JIROFT 0.322 TAKAB 0.042
BOJNURD 0.044 J.ABOMOOSA 0.050 MIANEH 0.022 TEHRAN MEHRABAD 0.046
BOROOJEN 0.031 J.GHESHM 0.034 MINAB 0.330 TORBATE HEYDARIEH 0.033
BOSHROOY 0.040 J. KISH 0.032 MOSHIRAN 0.120 TORBATE JAM 0.046
BOSTAN 0.033 J. SIRI 0.044 NEYSHABOOR 45.000 YASOUJ 0.038
BROUJERD 0.041 JOLFA 0.022 NOUSHAHR 0.049 YAZD 0.046
BUSHEHR (COASTAL) 0.027 KABOOTARABAD 0.312 OMIDIYEH .p 0.040 ZABOL 0.043
BUSHEHR 0.215 KAHNOUJ 0.015 OMIDIYEH(AGHAJARI 0.034 ZAHEDAN 0.033
CHAHBAHAR 0.047 KANGAVAR 0.021 OROOMIEH 0.030 ZANJAN 0.010
DARAN 0.066 KARAJ 0.032 PARSABADE-MOGHAN 0.033 ZARGHAN 0.044
DEHLORAN 0.021 KASHAN 0.034 RAMHORMOZ 0.441 ZARINEHO 0.045
DEZFUL 0.033 KASHMAR 0.027 RAMSAR 0.021 ZARINEH OBATO 0.030
DOGONBADAN 0.400 KENARAK 0.032 RASHT 0.030 ZAHAK 0.015

Considering the effects of temporal patterns on rainfalls series, two seasonal statistics of trended and non-trended rainfall indices were studied [26, 38]. According to the validation indicators, the mean square error (MSE), the mean absolute error (MAE), the root mean square error (RMSE) between the predicted and original values of rainfall series are shown in Table 5, and results shows that the additive models of seasonality have an acceptable technique, and the mentioned pattern has a suitable validity.