Calculating Index APH
Example 1:
This example shows the calculation of a silage sorghum Approved (Indexed) Yield for unit A with 4 years of actual yields (i.e., no T-yields are required). The production reported for unit 00101 along with the county yields from the ADM are shown in the table below.
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State: KS |
Type: Brown Mid - Rib |
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County: XX |
Prac: IRR |
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YEAR |
TOTAL PRODUCTION |
ACRES |
YIELD |
YIELD TYPE |
COUNTY YIELD |
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A=Actual |
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Z=Zero Acreage |
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19XX |
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19XX |
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19XX |
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19XX |
1800 |
100 |
18.0 |
A |
16.0 |
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19XX |
0 |
0 |
0.0 |
Z |
|
|
19XX |
2000 |
100 |
20.0 |
A |
18.0 |
|
19XX |
0 |
0 |
0.0 |
Z |
|
|
19XX |
0 |
0 |
0.0 |
Z |
|
|
20XX |
1200 |
100 |
12.0 |
A |
10.0 |
|
20XX |
1800 |
100 |
18.0 |
A |
13.0 |
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|
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County Expected Yield |
13.0 |
Approved APH Yield |
17.0 |
Average County Yield |
14.3 |
|
Yield Index |
0.91 |
Approved (Indexed) Yield |
15.5 |
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The Approved APH Yield shown in Example 1 is the simple average of the 4 years of actual yields shown in the column titled YIELD, i.e., it is identical to that calculated under the standard APH plan. The Average County Yield is the average of the county yields for the same 4 years reported by the insured, i.e., (16 + 18 + 10 + 13) 4.
The next step is to calculate the Yield Index. The Yield Index is equal to the County Expected Yield divided by the Average County Yield. Given the County Expected Yield of 13.0 tons (obtained from the FCI-35), the Yield Index for this unit is 0.91 (13.0 14.3).
The Approved (Indexed) Yield (per acre) is calculated as the Approved APH yield multiplied by the Yield Index. For unit 00101 the Approved (Indexed) Yield is 17.0 x 0.91 = 15.5 tons per acre.
Example 2:
This example shows the calculation of a silage sorghum Approved (Indexed) Yield for unit 00102 with only 2 years of actual yields. Hence, two T-yields must be used to complete the 4-year yield database. The production reported for unit 00102 along with the county yields from the ADM are shown in the table below. For illustrative purposes only, the variable T-yield (Yield Type = N) is assumed to equal 13.2 tons per acre.
|
State: KS |
Type: Brown Mid - Rib |
|
County: XX |
Prac: IRR |
|
YEAR |
TOTAL PRODUCTION |
ACRES |
YIELD |
YIELD TYPE |
COUNTY YIELD |
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A=Actual |
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N=90% T-Yield |
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19XX |
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17.0 |
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19XX |
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14.0 |
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19XX |
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12.0 |
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19XX |
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16.0 |
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19XX |
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12.0 |
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19XX |
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18.0 |
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19XX |
0 |
0 |
13.2 |
N |
16.0 |
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19XX |
0 |
0 |
13.2 |
N |
11.0 |
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20XX |
900 |
100 |
9.0 |
A |
10.0 |
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20XX |
1800 |
100 |
18.0 |
A |
13.0 |
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|
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County Expected Yield |
13.0 |
Approved APH Yield |
13.4 |
Average County Yield |
13.9 |
|
Yield Index |
0.94 |
Approved (Indexed) Yield |
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