X=[x1, x2, x3, x4, x5] Y=[y1, y2, y3, y4, y5] Polygon=[P1, .... P5] The ...

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The intersection of line in polygon with Cordex Lat/Lon=[c1, ... ,c14]. Cordex Lat=[Lat1, ... ,Lat6]. Cordex Lon=[Lon1, ... ,Lon6]. A2. A1. A3. A4. A5. A6. A7. A8. A9.
P3

Lat6

X=[x1, x2, x3, x4, x5] Y=[y1, y2, y3, y4, y5] Polygon=[P1, .... P5]

Polygon of Region

C7 A14

C6

A15

Lat5

C8 C9

C5 P4

The intersection of line in polygon with Cordex Lat/Lon=[c1, ... ,c14] Cordex Lat=[Lat1, ... ,Lat6]

C4

Cordex Lon=[Lon1, ... ,Lon6]

A12

A11

A13

A10

Lat4 C10

Area of Cells=[A1, ... ,A15] P2

We Assume that value of Variable of each cells is V1,... V15

A6

A8

A7

A9 C11

Lat3

Example: A14 = hatched area

C3

A5 A2

A4 A3

Mean of V in Region(Polygon) for each time freq(month or day) is

V1*A1+...+V15*A15

=

P5

C2

C12

Lat2

A1+...+A15

C1

C13

A1 C14 P1

Lat1

Lon1

Lon2

Lon3

Lon4

Lon5