Space-time data workshop at IfGI

��

��

��

� ��

��

� ��

��

��

��

T (s, t) = m(s, t) + ε(s, t) ��

�� m(s, t) �� ! �� "�" � ��!�� #��$ ��%�� ε(s, t) �� $(s, t)"

� ��

��

� ��

��

γ(si, ti; sj , tj) = 0.5 · E[(ε(si, ti)− ε(sj , tj))

2]

��

� ��

��

�� ε ��

��

ε(s, t) = εs(s) + εt(t) + εs,t(s, t)

!�� εs(s) �� !�� "��

�� εt(t) �� εs,t(s, t) �� #�� !�� $��

�� $� � �� % � ��#�� &

� ��

��

��

��

C(h, u) = Cs(h) + Ct(u) + Cs,t(√

h2 + (α+ u)2) ��

�� C(h, u) � �� h ��

�� u� Cs(h) + Ct(u) �� ! "��

�� #�� #��

Cs,t(√

h2 + (α+ u)2) �� ! ��

�� α�

� ��

��

� ��

��

XY

cdays

� ��

��

0 50000 100000 150000 200000

05

1015

2025

365 days

Distance (m)

Sem

ivar

ianc

e

0 10 20 30 40 50 600

1020

3040

50

159 stations

Distance (in days)

Sem

ivar

ianc

e

� ��

��

Distance (m)

sem

ivar

ianc

e

2

4

6

8

10

50000 100000 150000 200000

●●

●

● ●●

● ● ●● ●

● ●●

●

Distance (in days)se

miv

aria

nce

2

4

6

8

10

5 10 15

●

●

●

●

● ●●

●

●●

●●

●●

● ●

��

��

� ��

��

� ��

��

� ��

� ��

��

� ��

� ��

��

�� !��" ��

� ��

��

� ��

� ��

��

�� !��" ��

� ��

� ��#

� ��

��

� ��

� ��

��

�� !��" ��

� ��

� ��#

� $��

� ��

��

� ��

� ��

��

�� !��" ��

� ��

� ��#

� $��

� % ��

�� "&

� ��

��

��

� �� X,Y��

� �� !"# ��$"� ��%�

� �� &�� %��

� �� %��%� � ��

� ��

��

��

� ��

��

� ��

� ��

��

� ��

� ��

��

� ��

��

� ��

� ��

��

� ��

��

� ��

��

� ��

� ��

��

� ��

��

� ��

��

� ��

��

� ��

� ��

��

� ��

��

� ��

��

� �� !� ��

� ��

Documents

Space-time data workshop at IfGI