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geethuth

India
2 Posts
Posted - 03/15/2017 :  01:30:17 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
How do I check Caine’s rainfall threshold equation with data set used by them? for equation &dataset:
https://www.luminpdf.com/viewer/qtukq6uvAySHFeiQp
the title of the paper is: THE RAINFALL INTENSITY - DURATION CONTROL OF SHALLOW LANDSLIDES AND DEBRIS FLOWS by NEL CAINE

yuki_wu

896 Posts
Posted - 03/15/2017 :  05:26:46 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi,

Not sure you’ve found the right place.

Is there anything I can help you with Origin? If yes, please write down more details about your question.

Regards,
Yuki
OriginLab
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geethuth

India
2 Posts
Posted - 03/15/2017 :  06:59:23 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
thank you for your response and time. Actually, I read a paper "THE RAINFALL INTENSITY - DURATION CONTROL OF SHALLOW LANDSLIDES AND DEBRIS FLOWS" by NEL CAINE. In this paper, they are fitting an equation (power law fitting) using the data set given. I tried to fit the dataset in R using least square regression. But I got a relation different from the original one. The Caine Equation is:
I =14.82D^(-0.39)
Where I is the rainfall intensity in mm/hour
D is the duration in hours.

The data set is
Duration(hr) Mean intensity (mm/hr)
0.02 138
0.02 60
0.17 30
0.17 30
0.5 60
1 50
1 13
1 15
1 40
1 40
1 30
1 100
1 30
1 17
1 29
1 44
1 40
1 125
1 52
1 102
1 64
1 52
1 85
3 34
3.5 12.7
3.5 62.3
4 12.8
4 50
4.5 169
6 33.3
6 40
8 6.4
10 15
10 20
10 25
12 10.4
15 12.7
18 17.8
24 6.25
24 7.5
24 12.5
24 6.25
24 6.33
24 5.29
24 7.42
24 17.7
24 16.7
24 19.4
24 28.6
24 6.25
24 10.21
24 4.46
24 5.5
24 30
24 8.42
37 13.96
48 3.27
49 6.53
72 2.43
72 6.56
72 6.94
72 6.72
96 2.65
96 2.94
120 2.12
120 4.17
192 4.18
288 1.6
720 0.74
744 0.58
840 1.6
1464 0.51
2208 0.32

I don't know whether they avoided any data points from this to get the above equation. The power law equation which I got from this data set is I = 40.667D^(-0.493). I need to get the exact Caine equation from the above dataset. How can I obtain the Caine equation from it? We can do some assumptions and apply the constraints needed. Can you help me?
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yuki_wu

896 Posts
Posted - 03/16/2017 :  01:13:07 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi,

Do you mean you did fitting in Origin with R Console or you just did fitting in R directly?

Anyway, no matter which software you are using, you should try to find the reasons why you are not getting a good fit as follows:
http://www.originlab.com/doc/Quick-Help/BadFitResult-Solution

Regards,
Yuki
OriginLab
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