COEFFICIENT OF INBREEDING

AN INVESTIGATION INTO WRIGHT'S EQUATION AND HARDIMAN'S METHOD


Wright's Equation and Hardiman's Method are both based on the principle that the inbreeding of an individual is one half the relationship of its sire and dam, however the calculations involve different data and so the inbreeding coefficients produced by them are not interchangeable and should not be compared with each other. Wright's Equation is haphazardly calculated to any number of generations, whereas Hardiman's Method is always calculated to five generations. Wright's Equation considers duplicated ancestors only if they are common to both sire and dam, whereas Hardiman's Method considers all duplicated ancestors. Wrights Equation considers inbred ancestors only if they are duplicated ancestors, whereas Hardiman's Method considers all inbred ancestors. It should be noted here that an inbreeding coefficient is of little value without a standard with which it can be compared, so the proposed Register of Inbreeding Coefficients will be used to calculate a breed average for comparison.


STANDARD INBREEDING COEFFICIENT - includes only the subject's inbreeding in the first five generations
CUMULATIVE INBREEDING COEFFICIENT - includes all inbreeding in the subject's pedigree back as far as records allow

See REGISTER OF INBREEDING COEFFICIENTS


WRIGHT'S EQUATION FOR CALCULATING THE COEFFICIENT OF INBREEDING

As devised by Sewell Wright in 1922

Fx is the inbreeding coefficient of the horse in question, Fa is the inbreeding coefficient of the common ancestor, n1 is the number of generations from the sire to the common ancestor, and n2 is the number of generations from the dam to the common ancestor.

CEDRIC PHANTOM WALTON
 
Walton mare WALTON
 

Cedric is the result of the mating of half-siblings, both his parents being by Walton. If Walton carries a gene with two different alleles, the one which is passed to Phantom has a 50% probability of being passed to Cedric. There is also a 50% probability that the Walton mare will receive the same allele from Walton and a 50% probability of it being passed to Cedric. The probability that Cedric will be homozygous for this allele is 0.5 x 0.5 x 0.5 = 0.125 or 12.5%. If Walton were the only common ancestor, the inbreeding coefficient for Cedric would be 12.5%.
Simply put, Cedric's inbreeding coefficient is found by calculating to the power n, where n is the number of individuals from Cedric to the common ancestor Walton and back to Cedric on the other side of the pedigree, less Cedric. This makes n equal to Phantom - Walton - Walton mare, or 3. The calculation therefore is () or ( x x ), which equals one eighth or 12.5%.
In the equation quoted above n1 = 1 (Phantom) and n2 = 1 (Walton mare). Walton, the common ancestor, is represented by 1. If Walton is also inbred, then Cedric's inbreeding coefficient would be 12.5 x (1 plus the inbreeding coefficient of Walton, the common ancestor). If the common ancestor is not inbred then Fa = 0, therefore this part of the equation can be ignored because (1+Fa) = 1.
If Cedric had more than one common ancestor then calculations would be made for each and added together to give his inbreeding coefficient.

On the face of it Wright's Equation works, however closer examination reveals inherent defects.

OMAR GODOLPHIN ARABIAN    
 
   
 
Lath mare LATH GODOLPHIN ARABIAN
 
   
 

In the above pedigree Omar is inbred to Godolphin Arabian (1 x 3), so the value for n in the equation equals Godolphin Arabian - Lath - Lath mare or 3. This gives an inbreeding coefficient of 12.5%, the same as that for Cedric. The problem is Omar is more closely inbred than Cedric. Cedric inherited 25% of his genes from Walton through Phantom and 25% of his genes from Walton through Walton mare, making a total of 50%, which when divided by four gives an inbreeding coefficient of 12.5%. Omar, on the other hand, inherited 50% of his genes from Godolphin Arabian as his sire and 12.5% of his genes from Godolphin Arabian through Lath mare, making a total of 62.5%, which when divided by four gives an inbreeding coefficient of 15.625%.

The value of n in Wright's Equation does not take into consideration the positions of the common ancestor in the pedigree.

If Cedric's grandsire Walton was inbred to A (2 x 2), Cedric's inbreeding coefficient would be .125 x 1.125 = .140625 or 14.0625%. The increase of 1.5625% represents the total influence of A which appears four times in the fourth generation of the pedigree of Cedric.

Cedric inherited 25% of his genes from A, which when divided by four gives an inbreeding coefficient of 6.25%. Cedric's inbreeding coefficient would therefore be 12.5% + 6.25% = 18.75%.

If Omar's sire Godolphin Arabian was inbred to B (2 x 2), Omar's inbreeding coefficient would also be .125 x 1.125 = .140625 or 14.0625%. The increase of 1.5625% represents the total influence of B which appears twice in the third generation and twice in the fifth generation of the pedigree of Omar.

Omar inherited 25% of his genes from B in the third generation and 6.25% of his genes from B in the fifth generation, making a total of 31.25%, which when divided by four gives an inbreeding coefficient of 7.8125%. Omar's inbreeding coefficient would therefore be 15.625% + 7.8125% = 23.4375%.

Multiplying an inbreeding coefficient by one plus the inbreeding coefficient of a common ancestor severely underestimates the total amount of inbreeding in a pedigree.

W E Jones in Genetics of the Horse makes the following statements concerning Wright's Equation:

Page 189 - "To determine if there is any inbreeding, one observes the material on the sire's side of the pedigree to see if any animal is common with what is on the dam's side of the pedigree".

Page 189 - "The amount of inbreeding is usually expressed in a percentage, which can be considered to be an estimate of the percentage of the total genes that have been put in the homozygous state. This estimate is always less than the actual because our records are never extensive enough to show all of the relationships that ever existed".

Page 190 - "The equation for calculating the coefficent of inbreeding as proposed by Wright may look somewhat complicated to one without much background in mathematics. The coefficient of inbreeding is a fraction which when multiplied by 100 gives the percentage of inbreeding. The formula is based on the principle that the inbreeding of an individual is one half the relationship of its sire and dam".

In fact, an inbreeding coefficient calculated using Wright's Equation is neither an estimation of the number of genes put into the homozygous state nor an estimation of the percentage of inbreeding. It is merely the probability that identical alleles will be inherited from ancestors common to both sire and dam.

Wright's Equation considers duplicated ancestors only if they are common to both sire and dam, but if the inbreeding of an individual is one half the relationship of its sire and dam, then duplicated ancestors wholly contained within the pedigrees of either the sire or the dam should also be considered because ultimately they will trace to ancestors common to both sire and dam. The following pedigree is an example:

HIGH BIRD
1933
HIGH TIME
1916
ULTIMUS
1906
COMMANDO
1898
DOMINO HIMYAR
Mannie Gray
Emma C DAREBIN
Guenn
Running Stream
1898
DOMINO HIMYAR
Mannie Gray
Dancing Water ISONOMY
Pretty Dance
Noonday
1898
DOMINO
1891
HIMYAR ALARM
Hira
Mannie Gray ENQUIRER
Lizzie G
Sundown
1887
SPRINGFIELD ST ALBANS
Viridis
Sunshine THORMANBY
Sunbeam
Billie Dove
1922
ATHELING
1913
DESMOND
1896
ST SIMON GALOPIN
St Angela
L'Abesse de Jouarre TRAPPIST
Festive
Wood Daisy
1906
CYLLENE BONA VISTA
Arcadia
Mountain Daisy AYRSHIRE
Light of Other Days
Polistena
1912
POLYMELUS
1902
CYLLENE BONA VISTA
Arcadia
Maid Marian HAMPTON
Quiver
Imola
1901
ST HILAIRE ST SIMON
Distant Shore
Yola BONA VISTA
Doralice

HIGH BIRD has no ancestors in the first five generations which are common to both sire and dam.

The sire HIGH TIME is inbred to DOMINO (3 x 3) x 2
The paternal grandsire ULTIMUS is inbred to DOMINO 2 x 2

The dam Billie Dove is inbred to CYLLENE 3 x 3, ST SIMON 3 x 4 and BONA VISTA 4 x (4 x 4)
The maternal grandam Polistena is inbred to BONA VISTA 3 x 3

The inbreeding coefficient of 0% for HIGH BIRD produced by Wright's Equation is impossible. If his pedigree is extended to nine generations the following ancestors are common to both sire and dam:

Banter (9 x 9 x 9 x 9 x 9) x (9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9)
BAY MIDDLETON (9 x 9 x 8 x 7) x (8 x 9 x 9)
BIRDCATCHER (8 x 9 x 9 x 9 x 8 x 7) x (8 x 9 x 9 x 9)
CAMEL (9 x 9 x 9 x 9 x 9 x 9) x (9 x 9 x 9 x 9 x 8 x 9 x 9)
CATTON 9 x 9
Cerberus mare (9 x 9) x 9
Decoy (9 x 8) x 8
DONCASTER 6 x (7 x 7 x 7)
ECONOMIST 9 x (8 x 9)
GLENCOE (9 x 9 x 9 x 9 x 9 x 9 x 9 x 8 x 9 x 9 x 8) x (8 x 9)
Guiccioli (9 x 9 x 9 x 8 x 9 x 8) x 9
ISONOMY 5 x (6 x 6)
KING TOM 8 x (6 x 8 x 8 x 7 x 8)
LANERCOST (9 x 9 x 8) x (9 x 8)
LOTTERY 8 x 9
MELBOURNE (7 x 9) x (9 x 8 x 8 x 9)
MULEY (9 x 9 x 8) x (9 x 9)
ORLANDO (8 x 8 x 9 x 7 x 7) x (9 x 9 x 8)
PALMYRA 7 x (9 x 9)
PANTALOON (9 x 9 x 9 x 9 x 8 x 8 x 7) x (9 x 9 x 9 x 8 x 9 x 9 x 9 x 9)
Pasquinade (9 x 8) x 9
Phryne 7 x 9
Pocahontas (9 x 9 x 9 x 8 x 8 x 8 x 7) x (7 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 8 x 9 x 9)
Rebecca 7 x 9
RIFLEMAN 9 x 8
SCOTTISH CHIEF 7 x 6
SIR HERCULES (9 x 9 x 9 x 8 x 9 x 8) x 9
STOCKWELL (8 x 8 x 7 x 7 x 7 x 6) x (8 x 8 x 9 x 8 x 8 x 8 x 8)
SULTAN (9 x 9 x 9 x 8 x 8) x (9 x 9)
TAURUS2 8 x 9
THE BARON (9 x 9 x 8 x 8 x 8 x 7) x (9 x 9 x 9 x 9 x 9 x 9 x 9)
THE FLYING DUTCHMAN 9 x (7 x 9 x 8)
THORMANBY (8 x 5) x (8 x 8 x 8 x 8 x 8)
TOUCHSTONE (9 x 8 x 9 x 9 x 9 x 9 x 8 x 8 x 8) x (8 x 8 x 9 x 9 x 9 x 9 x 8 x 9 x 8 x 9 x 8)
VELOCIPEDE 9 x 9
WHALEBONE (9 x 9) x 9
WHISKER (9 x 8) x 9


HARDIMAN'S METHOD FOR CALCULATING THE COEFFICIENT OF INBREEDING

As devised by James R Hardiman in 2000
CEDRIC PHANTOM (12.5) WALTON (6.25)
 
Walton mare (12.5) WALTON (6.25)
 

Cedric's standard inbreeding coefficient of 12.5 is calculated for an ancestor which appears twice in the second generation of his pedigree, therefore each appearance in the second generation is worth 6.25. The total for each generation is 25, which is the probability of an allele being passed from Walton to Phantom to Cedric. Since the total for each generation is 25, the value for each position in the pedigree can be summarised as follows:

1st Generation = 12.5
2nd Generation= 6.25
3rd Generation = 3.125
4th Generation = 1.5625
5th Generation = .78125

There are 32 ancestors in the fifth generation, each contributing .78125 of the whole. Since at least two positions in the pedigree are required for inbreeding and the maximum of 25 cannot be reached, that leaves 30 possible basic inbreeding coefficients within five generations. Each basic coefficient, which is a multiple of .78125, represents the number of ancestors in the 5th generation that are contained within the pedigree of the common ancestor. It should be noted that there are many more combinations of inbreedings, but there are only 30 possible basic inbreeding coefficients.

Inbreeding notations
Basic coefficients
1 x 2 x 3 x 4 x 5 24.21875
1 x 2 x 3 x 4 23.4375
1 x 2 x 3 x 5 22.65625
1 x 2 x 3 21.875
1 x 2 x 4 x 5 21.09375
1 x 2 x 4 20.3125
1 x 2 x 5 19.53125
1 x 2 18.75
1 x 3 x 4 x 5 17.96875
1 x 3 x 4 17.1875
1 x 3 x 5 16.40625
1 x 3 15.625
1 x 4 x 5 14.84375
1 x 4 14.0625
1 x 5 13.28125
2 x 2 12.5
2 x 3 x 4 x 5 11.71875
2 x 3 x 4 10.9375
2 x 3 x 5 10.15625
2 x 3 9.375
2 x 4 x 5 8.59375
2 x 4 7.8125
2 x 5 7.03125
3 x 3 6.25
3 x 4 x 5 5.46875
3 x 4 4.6875
3 x 5 3.90625
4 x 4 3.125
4 x 5 2.34375
5 x 5 1.5625

The inbreeding coefficients have to be modified if the common ancestor is also inbred. The movement of an ancestor back one generation in a pedigree halves its influence, therefore the inbreeding coefficient of an inbred ancestor has to be halved to compensate. The value of an inbreeding coefficient for each generation is calculated as follows:

Generation 0 - Inbreeding Coefficient
Generation 1 - Divide by 2
Generation 2 - Divide by 4
Generation 3 - Divide by 8
Generation 4 - Divide by 16
Generation 5 - Divide by 32

0 1 2 3 4
D A B    
 
   
 
C B  
 
   
 
E A B  
 
C B
 
     
 
   
 

In the above pedigree D is inbred to A (1 x 2). The standard inbreeding coefficient for D is therefore 12.5 + 6.25 = 18.75.
A, however, is inbred to B (1 x 2) and appears in two different generations. The standard inbreeding coefficient for A is also 18.75.
The movement of an ancestor back one generation in a pedigree halves its influence, so the modified standard inbreeding coefficient for A in generation 1 will be 9.375 and in generation 2 it will be 4.6875.
E is not inbred and neither is its dam. The modified standard inbreeding coefficient for A in generation 2 is 4.6875. The modified standard inbreeding coefficient for E is half this which is 2.34375.
The cumulative inbreeding coefficient for D is therefore 18.75 + half 9.375 + half 2.34375 which equals 24.609375.

The modified standard inbreeding coefficients are halved again during the calculation of the cumulative inbreeding coefficient, so an easier and quicker way of calculating the cumulative inbreeding coefficient for D is as follows:

Add together the CICs of sire A and dam E, divide by four and add to the SIC for D. 18.75 + 4.6875 = 23.4375 4 = 5.859375 + 18.75 = 24.609375.

The value of an inbreeding coefficient for each generation is calculated as follows:

Generation 0 - Inbreeding Coefficient
Generation 1 - Divide by 4
Generation 2 - Divide by 16
Generation 3 - Divide by 64
Generation 4 - Divide by 256
Generation 5 - Divide by 1024
Generation 6 - Divide by 4096
Generation 7 - Divide by 16384


AN EXAMPLE OF THE CALCULATION OF A COEFFICIENT OF INBREEDING USING HARDIMAN'S METHOD
See this calculation with the addition of the pedigree of the Blue Cap mare
See this calculation with the addition of the pedigrees of the Blue Cap mare and the Harpham Arabian

 

THE COMPLETE PEDIGREE OF JIGG-OF-JIGGS

 

                                                  Old Bald Peg = FAIRFAX'S MOROCCO BARB
                                                               |    [HELMSLEY TURK]
                                                               |          |
                                             ----------------> | <-------------------------------------------------------------------------------------
                                             |                 |                                                                                      |
                                      Leedes Bald Peg          |                                 Lawson's Barb Mare  =  DARCY'S YELLOW TURK  = Old Morocco Mare
                                      [Young Bald Peg]         |                                 [Dodsworth's dam]   |       [DODSWORTH]     |        |
                                             |                 |                                 [Merlin's grandam]  |  [MERLIN'S GRANDSIRE] |        |
                                             |                 |                                                     |            |          |        |
                                         -----                 |                             -------------------------            |          |        ------
                                         |                     |                             |                                    |          |             |
                                         |             DARCY'S WHITE TURK       =   Pierson's Bay mare                Barb Mare   |          |             |
                                         |             [DARCY'S DIAMOND]        |                                         |       |          |             |
                                         |           [PLACE'S WHITE TURK]       |                                         |       |          |             |
                                         |           [BURNET'S WHITE BARB]      ------------------------------------      |       |          |             |
                                         |      [PLACE'S WHITE TRUGUNWELL TURK]                                    |      |       |          |             |
                                         |                     | 1668                                              |      |       |          |             |
                                         |                     |                 --------------------------------> | <--> | <---> | <---------             |
                                         |                     |                 |                                 |       \     /           |             |
                                         |                     |           Darcy's Grey Royal                     mare  =  BRIMMER        SPANKER          |
                                         |                     |         [Lonsdale Arabian Mare]                        |                    |             |
                                         |                     |                 |                                      |                    |             |
                                         |                     ------------    ---                                      |                    |             |
                                         |                                 \  /                                         |                    |             |
                                         |       -------------------------> | <---------------------------------------> | <-------------------             |
                                         |       |                          |                                           |                    |             |
                                         |       |        ----------------> | <------------------------------------------                    |             |
                                         |       |        |                 |                                                                |             |
                                         |       |        |                 ------------------------------------                             |             |
                                          \     /         |                 |                                  |                              \           /
                                      Yellow Bald Peg   mare  =          HAUTBOY         Arlington Barb Mare   |     BYERLEY'S TURK     =     Charming Jenny
                                       [Chesnut Peg]          |         [ROCKWOOD]                |            |     [LISTER'S TURK]    |
                                            |                 |  [PULLEINE'S WHITE TURK]          |            |   [RUTLAND BLACKLEGS]  |
                                            |                 |  [PULLEINE'S OLD ARABIAN]         |            |               1678     |
                                            |                 |             |                     |            |                        |
                                            |                 |             |      ----------------         ----                 -----------------------
                                            |                 |              \    /                         |                    |                     |
                                         Bay Peg             mare         GREY HAUTBOY       =       Darcy's Pet Mare       PELHAM'S JIGG       BROTHER TO SNAKE
                                        by Leedes             |        [LAYTON GREY BARB]    |       [Old Grey Royal]     [LISTER'S SNAKE]             |
                                         Arabian              |                              |    [Tregonwell Barb mare]         |                     |
                                            |                 |                              |  [Darcy's Oldest Royal Mare]      |                     |
                                            |                 |                              |         [Clubfoot]                |                     |
                                            |                 |                              |                                   |                     |
                                            ----------------> | <-----------------------     ------------------------            |                     -------
                                                              |                        |     |                      |            |                           |
                                        BLUE CAP              |                        |  CLUMSEY              Grey Wilkes       |      CURWEN'S BAY BARB   mare
                                            |                 |                        |     |                 [Old Wilkes]      |              |            |
                                            |                 |                        |     |                      |            |              |            |
                                            |                 |                        |     |                      |            |              |            |
                                            |                 |                         \   /                        \           /              |            |
                                           mare           CHAMPION                       FOX                          SON OF JIGG        =     mare          |
                                            |        by Harpham Arabian                   | 1714                [SMITH'S SON OF SNAKE]   |                   |
                                            |                 | 1707                      |                                              |                   |
                                            --------    -------                           |                                              |                   |
                                                    \  /                                  |                                              |                   |
                                                    mare                                  |                                       HENEAGE'S JIGG             |
                                                     |                                    |                                              |                   |
                                                     ----------------       ---------------                                              ---------    --------
                                                                     \     /                                                                      \  /
                                                                  BOLTON GOLIAH                                =                                  mare
                                                                          1730                                 |                                   |
                                                                                                               |                                   |
                                                                                                               |                                   |
                                                                                                          HUNT'S JIGG                              |
                                                                                                               | 1741                              |
                                                                                                               ------------             ------------
                                                                                                                           \           /
                                                                                                                           JIGG-OF-JIGGS
                                                                                                                                   1745

 

The inbreeding coefficient for Jigg-of-Jiggs is calculated as follows:

0 1 2 3 4 5
JIGG-OF-JIGGS
28.125
03.45897674560546875
03.585052490234375
(35.16902923583984375)
HUNT'S JIGG
1.5625
1.000213623046875
0.89626312255859375
(3.45897674560546875)
BOLTON GOLIAH
0.5859375
0.386810302734375
0.0274658203125
(1.000213623046875)
FOX
0.25634765625
0.112152099609375
0.018310546875
(0.386810302734375)
CLUMSEY
0.1007080078125
0.002288818359375
0.0091552734375
(0.112152099609375)
GREY HAUTBOY
(0.002288818359375)
Darcy's Pet Mare
(0.0091552734375 )
Bay Peg
(0.018310546875)
LEEDES ARABIAN

Yellow Bald Peg
(0.018310546875)

Champion mare
(0.0274658203125)
CHAMPION
(0.0274658203125)
HARPHAM ARABIAN
Hautboy mare
0.02288818359375
0.002288818359375
0.002288818359375
(0.0274658203125)
Blue Cap mare BLUE CAP
 
Heneage's Jigg mare
(0.89626312255859375)
HENEAGE'S JIGG SON OF JIGG PELHAM'S JIGG
Grey Wilkes
Curwen's Bay Barb mare
CURWEN'S BAY BARB
 
Brother to Snake mare BROTHER TO SNAKE LISTER'S TURK
Charming Jenny
   
 
Heneage's Jigg mare
3.125
0.386810302734375
0.0732421875
(3.585052490234375)
HENEAGE'S JIGG
(0.386810302734375)
SON OF JIGG
0.25634765625
0.018310546875
0.112152099609375
(0.386810302734375)
PELHAM'S JIGG
(0.018310546875)
BYERLEY'S TURK
Charming Jenny
(0.018310546875)
Grey Wilkes
0.1007080078125
0.002288818359375
0.0091552734375
(0.112152099609375)
GREY HAUTBOY
(0.002288818359375)
Darcy's Pet Mare
(0.0091552734375)
Curwen's Bay Barb mare
CURWEN'S BAY BARB  
 
   
 
Brother to Snake mare
(0.0732421875)
BROTHER TO SNAKE
(0.0732421875)
LISTER'S TURK  
 
Charming Jenny
(0.0732421875)
SPANKER
Old Morocco Mare
     
 
   
 
0 1 2 3 4 5

Details of each specific inbreeding:

JIGG-OF-JIGGS inbred to Heneage's Jigg mare 2 x 1 = 18.75
JIGG-OF-JIGGS inbred to BYERLEY'S TURK=LISTER'S TURK 5 x (5 x 4) = 3.125
JIGG-OF-JIGGS inbred to Charming Jenny 5 x (5 x 4) = 3.125
JIGG-OF-JIGGS inbred to Darcy's Pet Mare 5 x 5 = 1.5625
JIGG-OF-JIGGS inbred to GREY HAUTBOY 5 x 5 = 1.5625
Total SIC for JIGG-OF-JIGGS = 28.125

HUNT'S JIGG inbred to Darcy's Pet Mare 4 x 5 = 2.34375
HUNT'S JIGG inbred to GREY HAUTBOY 4 x 5 = 2.34375
HUNT'S JIGG inbred to SPANKER 5 x 5 = 1.5625
Total SIC for HUNT'S JIGG = 6.25

Heneage's Jigg mare inbred to BYERLEY'S TURK=LISTER'S TURK 4 x 3 = 4.6875
Heneage's Jigg mare inbred to Charming Jenny 4 x 3 = 4.6875
Heneage's Jigg mare inbred to Old Morocco Mare 5 x (5 x 4) = 3.125
Total SIC for Heneage's Jigg mare = 12.5

BOLTON GOLIAH inbred to HAUTBOY 4 x 4 = 3.125
BOLTON GOLIAH inbred to Darcy's Grey Royal=Lonsdale Arabian Mare (5 x 4) x 5 = 3.125
BOLTON GOLIAH inbred to DARCY'S WHITE TURK (5 x 4) x 5 = 3.125
Total SIC for BOLTON GOLIAH = 9.375

FOX inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (5 x 4 x 5) x (5 x 4) = 5.46875
FOX inbred to DARCY'S YELLOW TURK (5 x 4) x 4 = 3.90625
FOX inbred to Old Morocco Mare (5 x 4) x 4 = 3.90625
FOX inbred to Old Bald Peg 5 x (5 x 4) = 3.125
Total SIC for FOX = 16.40625

SON OF JIGG inbred to Old Morocco Mare (4 x 3) x (5 x 4) = 7.03125
SON OF JIGG inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (5 x 4) x (5 x 4 x 5) = 5.46875
SON OF JIGG inbred to DARCY'S YELLOW TURK 4 x (5 x 4) = 3.90625
Total SIC for SON OF JIGG = 16.40625

CLUMSEY inbred to Darcy's Grey Royal=Lonsdale Arabian Mare 3 x 2 = 9.375
CLUMSEY inbred to DARCY'S WHITE TURK 3 x 2 = 9.375
CLUMSEY inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (4 x 5) x (3 x 4) = 7.03125
Total SIC for CLUMSEY = 25.78125

Grey Wilkes inbred to Darcy's Grey Royal=Lonsdale Arabian Mare 3 x 2 = 9.375
Grey Wilkes inbred to DARCY'S WHITE TURK 3 x 2 = 9.375
Grey Wilkes inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (4 x 5) x (3 x 4) = 7.03125
Total SIC for Grey Wilkes = 25.78125

Charming Jenny inbred to Old Morocco Mare 2 x 1 = 18.75
Total SIC for Charming Jenny = 18.75

Darcy's Pet Mare inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK 2 x 3 = 9.375
Total SIC for Darcy's Pet Mare = 9.375

Yellow Bald Peg inbred to FAIRFAX'S MOROCCO BARB 3 x 2 = 9.375
Yellow Bald Peg inbred to Old Bald Peg 3 x 2 = 9.375
Total SIC for Yellow Bald Peg = 18.75

Hautboy mare inbred to DARCY'S DIAMOND=DARCY'S WHITE TURK 2 x 3 = 9.375
Hautboy mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE 3 x (3 x 4) = 7.8125
Hautboy mare inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (3 x 4) x 4 = 6.25
Total SIC for Hautboy mare = 23.4375

HAUTBOY inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK 2 x 3 = 9.375
Total SIC for HAUTBOY = 9.375

Brimmer mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE 2 x 3 = 9.375
Total SIC for Brimmer mare = 9.375

 

METHOD ONE
Working forwards through the pedigree

6 HAUTBOY = modified SIC of
00.002288818359375
6 Brimmer mare = modified SIC of
00.002288818359375
5 Darcy's Pet Mare = modified SIC of
00.0091552734375
5 Yellow Bald Peg = modified SIC of
00.018310546875
5 Hautboy mare = modified SIC of
00.02288818359375 + modified SIC for HAUTBOY in generation 6 of
00.002288818359375 + modified SIC for Brimmer mare in generation 6 of
00.002288818359375 =
00.0274658203125
5 Charming Jenny = quarter the modified SIC in generation 4 of 00.0732421875 =
00.018310546875
4 CLUMSEY = modified SIC of
00.1007080078125 + modified SIC for HAUTBOY in generation 6 of
00.002288818359375 + modified SIC for Darcy's Pet Mare in generation 5 of
00.0091552734375 =
00.112152099609375
4 Grey Wilkes = modified SIC of
00.1007080078125 + modified SIC for HAUTBOY in generation 6 of
00.002288818359375 + modified SIC for Darcy's Pet Mare in generation 5 of
00.0091552734375 =
00.112152099609375
4 Charming Jenny = modified SIC of
00.0732421875
3 FOX = modified SIC of
00.25634765625 + modified CIC for CLUMSEY in generation 4 of
00.112152099609375 + modified SIC for Yellow Bald Peg in generation 5 of
00.018310546875 =
00.386810302734375
3 SON OF JIGG = modified SIC of
00.25634765625 + modified SIC for Charming Jenny in generation 5 of
00.018310546875 + modified CIC for Grey Wilkes in generation 4 of
00.112152099609375 =
00.386810302734375
2 BOLTON GOLIAH = modified SIC of
00.5859375 + modified CIC for FOX in generation 3 of
00.386810302734375 + modified CIC for Hautboy mare in generation 5 of
00.0274658203125 =
01.000213623046875
2 Heneage's Jigg mare = quarter the modified CIC in generation 1 of 03.585052490234375 =
00.89626312255859375
1 HUNT'S JIGG = modified SIC of
01.5625 + modified CIC for BOLTON GOLIAH in generation 2 of
01.000213623046875 + modified CIC for Heneage's Jigg mare in generation 2 of
00.89626312255859375 =
03.45897674560546875
1 Heneage's Jigg mare = modified SIC of
03.125 + modified CIC for SON OF JIGG in generation 3 of
00.386810302734375 + modified SIC for Charming Jenny in generation 4 of
00.0732421875 =
03.585052490234375
0 JIGG-OF-JIGGS = SIC of
28.125 + modified CIC for HUNT'S JIGG in generation 1 of
03.45897674560546875 + modified CIC for Heneage's Jigg mare in generation 1 of
03.585052490234375 =
35.16902923583984375

 

METHOD TWO
Working backwards through the pedigree

  Inbred Horse SIC   Modified SIC
0 JIGG-OF-JIGGS 28.125   28.125
1 HUNT'S JIGG 6.25 4 01.5625
1 Heneage's Jigg mare 12.5 4 03.125
2 BOLTON GOLIAH 9.375 16 00.5859375
2 Heneage's Jigg mare 12.5 16 00.78125
3 FOX 16.40625 64 00.25634765625
3 SON OF JIGG 16.40625 64 00.25634765625
4 CLUMSEY 25.78125 256 00.1007080078125
4 SON OF JIGG 16.40625 256 00.0640869140625
4 Grey Wilkes 25.78125 256 00.1007080078125
4 Charming Jenny 18.75 256 00.0732421875
5 Darcy's Pet Mare 9.375 1024 00.0091552734375
5 Yellow Bald Peg 18.75 1024 00.018310546875
5 Hautboy mare 23.4375 1024 00.02288818359375
5 Grey Wilkes 25.78125 1024 00.025177001953125
5 Charming Jenny 18.75 1024 00.018310546875
5 Charming Jenny 18.75 1024 00.018310546875
5 Darcy's Pet Mare 9.375 1024 00.0091552734375
6 HAUTBOY 9.375 4096 00.002288818359375
6 HAUTBOY 9.375 4096 00.002288818359375
6 Brimmer mare 9.375 4096 00.002288818359375
6 Charming Jenny 18.75 4096 00.00457763671875
6 Darcy's Pet Mare 9.375 4096 00.002288818359375
6 HAUTBOY 9.375 4096 00.002288818359375
7 HAUTBOY 9.375 16384 00.00057220458984375
CIC for JIGG-OF-JIGGS 35.16902923583984375

 

METHOD THREE
Register of Inbreeding Coefficients

The figure of 35.16902923583984375, arrived at by both Method One and Method Two above, is the cumulative inbreeding coefficent for Jigg-of-Jiggs and includes all the inbreeding in his pedigree back as far as records allow. The standard inbreeding coefficient for Jigg-of-Jiggs of 28.125 is only four fifths of this total, so it is clear that the inbreeding carried forward from previous generations is still valid but the methods of calculation are cumbersome and time consuming.

It is proposed that a Register of Inbreeding Coefficients of all stallions and mares be compiled, so that any Thoroughbred's cumulative inbreeding coefficient may be found by first calculating the standard inbreeding coefficient and adding to it one quarter the value of each of the parents cumulative inbreeding coefficients as taken from the register.

Using this method and beginning with the earliest inbred ancestor, the cumulative inbreeding coefficient for Jigg-of-Jiggs is calculated as follows:

Brimmer mare
(9.375)
BRIMMER
(0)
DARCY'S YELLOW TURK *      
 
   
 
     
 
   
 
       
 
   
 
     
 
   
 
Darcy's Diamond mare
(0)
       
 
   
 
     
 
   
 
Pierson's Bay Mare MERLIN'S GRANDSIRE *    
 
   
 
     
 
   
 

Brimmer mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE 2 x 3 = 9.375
Total SIC and CIC for Brimmer mare = 9.375


HAUTBOY
(9.375)
DARCY'S WHITE TURK
(0)
HELMSLEY TURK *      
 
   
 
     
 
   
 
       
 
   
 
     
 
   
 
Lonsdale Arabian Mare
(0)
       
 
   
 
     
 
   
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB *    
 
   
 
     
 
   
 

HAUTBOY inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK 2 x 3 = 9.375
Total SIC and CIC for HAUTBOY = 9.375


Hautboy mare
(23.4375)

HAUTBOY
(9.375)

DARCY'S WHITE TURK * HELMSLEY TURK **    
 
   
 
     
 
   
 
Lonsdale Arabian Mare DARCY'S YELLOW
TURK ***
   
 
   
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB **  
 
   
 
Brimmer mare
(9.375)
BRIMMER DARCY'S YELLOW
TURK ***
   
 
   
 
     
 
   
 
Darcy's Diamond mare DARCY'S DIAMOND * HELMSLEY TURK **  
 
   
 
Pierson's Bay Mare MERLIN'S GRANDSIRE***  
 
   
 

Hautboy mare inbred to DARCY'S DIAMOND=DARCY'S WHITE TURK 2 x 3 = 9.375
Hautboy mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE 3 x (3 x 4) = 7.8125
Hautboy mare inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (3 x 4) x 4 = 6.25
Total SIC for Hautboy mare = 23.4375
HAUTBOY = 9.375 4 = 2.34375
Brimmer mare = 9.375 4 = 2.34375
Total CIC for Hautboy mare = 28.125


Yellow Bald Peg
(18.75)
SPANKER
(0)
       
 
   
 
     
 
   
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB *    
 
   
 
Old Bald Peg **    
 
   
 
Leedes Bald Peg
(0)
FAIRFAX'S MOROCCO BARB *      
 
   
 
     
 
   
 
Old Bald Peg **      
 
   
 
     
 
   
 

Yellow Bald Peg inbred to FAIRFAX'S MOROCCO BARB 3 x 2 = 9.375
Yellow Bald Peg inbred to Old Bald Peg 3 x 2 = 9.375
Total SIC and CIC for Yellow Bald Peg = 18.75


Darcy's Pet Mare
(9.375)
DARCY'S WHITE TURK
(0)
HELMSLEY TURK *      
 
   
 
     
 
   
 
       
 
   
 
     
 
   
 
Darcy's Grey Royal
(0)
       
 
   
 
     
 
   
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB *    
 
   
 
     
 
   
 

Darcy's Pet Mare inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK 2 x 3 = 9.375
Total SIC and CIC for Darcy's Pet Mare = 9.375


Charming Jenny
(18.75)
SPANKER
(0)
       
 
   
 
     
 
   
 
Old Morocco Mare *      
 
   
 
     
 
   
 
Old Morocco Mare *
(0)
       
 
   
 
     
 
   
 
       
 
   
 
     
 
   
 

Charming Jenny inbred to Old Morocco Mare 2 x 1 = 18.75
Total SIC and CIC for Charming Jenny = 18.75


Grey Wilkes
(25.78125)
GREY HAUTBOY
(2.34375)
HAUTBOY
(9.375)
DARCY'S WHITE TURK * HELMSLEY TURK ***  
 
   
 
Lonsdale Arabian Mare **    
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB ***
 
       
 
   
 
     
 
   
 
Darcy's Pet Mare
(9.375)
DARCY'S WHITE TURK * HELMSLEY TURK ***    
 
   
 
     
 
   
 
Darcy's Grey Royal **      
 
   
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB ***  
 
   
 

Grey Wilkes inbred to Darcy's Grey Royal=Lonsdale Arabian Mare 3 x 2 = 9.375
Grey Wilkes inbred to DARCY'S WHITE TURK 3 x 2 = 9.375
Grey Wilkes inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (4 x 5) x (3 x 4) = 7.03125
Total SIC for Grey Wilkes = 25.78125
GREY HAUTBOY = 9.375 4 = 2.34375 4 = 0.5859375
Darcy's Pet Mare = 9.375 4 = 2.34375
Total CIC for Grey Wilkes = 28.7109375


CLUMSEY
(25.78125)
GREY HAUTBOY
(2.34375)
HAUTBOY
(9.375)
DARCY'S WHITE TURK * HELMSLEY TURK ***  
 
   
 
Lonsdale Arabian Mare **    
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB ***
 
       
 
   
 
     
 
   
 
Darcy's Pet Mare
(9.375)
DARCY'S WHITE TURK * HELMSLEY TURK ***    
 
   
 
     
 
   
 
Darcy's Grey Royal **      
 
   
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB ***  
 
   
 

CLUMSEY inbred to Darcy's Grey Royal=Lonsdale Arabian Mare 3 x 2 = 9.375
CLUMSEY inbred to DARCY'S WHITE TURK 3 x 2 = 9.375
CLUMSEY inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (4 x 5) x (3 x 4) = 7.03125
Total SIC for CLUMSEY = 25.78125
GREY HAUTBOY = 9.375 4 = 2.34375 4 = 0.5859375
Darcy's Pet Mare = 9.375 4 = 2.34375
Total CIC for CLUMSEY = 28.7109375


SON OF JIGG
(16.40625)
PELHAM'S JIGG
(4.6875)
       
 
   
 
     
 
   
 
Charming Jenny
(18.75)
SPANKER DARCY'S YELLOW
TURK **
 
 
Old Morocco Mare * FAIRFAX'S MOROCCO BARB ***
 
Old Morocco Mare * FAIRFAX'S MOROCCO BARB ***  
 
   
 
Grey Wilkes
(28.7109375)
GREY HAUTBOY HAUTBOY DARCY'S WHITE TURK HELMSLEY TURK ***
 
Lonsdale Arabian Mare DARCY'S YELLOW
TURK **
Old Morocco Mare *
     
 
   
 
Darcy's Pet Mare DARCY'S WHITE TURK HELMSLEY TURK ***  
 
   
 
Darcy's Grey Royal DARCY'S YELLOW
TURK **
 
 
Old Morocco Mare * FAIRFAX'S MOROCCO BARB ***
 

SON OF JIGG inbred to Old Morocco Mare (4 x 3) x (5 x 4) = 7.03125
SON OF JIGG inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (5 x 4) x (5 x 4 x 5) = 5.46875
SON OF JIGG inbred to DARCY'S YELLOW TURK 4 x (5 x 4) = 3.90625
Total SIC for SON OF JIGG = 16.40625
PELHAM'S JIGG = 18.75 4 = 4.6875 4 = 1.171875
Grey Wilkes =28.7109375 4 = 7.177734375
Total CIC for SON OF JIGG = 24.755859375


FOX
(16.40625)
CLUMSEY
(28.7109375)
GREY HAUTBOY HAUTBOY DARCY'S WHITE TURK HELMSLEY TURK *
 
Lonsdale Arabian Mare DARCY'S YELLOW
TURK **
Old Morocco Mare ***
     
 
   
 
Darcy's Pet Mare DARCY'S WHITE TURK HELMSLEY TURK *  
 
   
 
Darcy's Grey Royal DARCY'S YELLOW
TURK **
 
 
Old Morocco Mare *** FAIRFAX'S MOROCCO BARB *
Old Bald Peg ****
Bay Peg
(4.6875)
       
 
   
 
     
 
   
 
Yellow Bald Peg
(18.75)
SPANKER DARCY'S YELLOW
TURK **
 
 
Old Morocco Mare *** FAIRFAX'S MOROCCO BARB *
Old Bald Peg ****
Leedes Bald Peg FAIRFAX'S MOROCCO BARB *  
 
Old Bald Peg ****  
 

FOX inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (5 x 4 x 5) x (5 x 4) = 5.46875
FOX inbred to DARCY'S YELLOW TURK (5 x 4) x 4 = 3.90625
FOX inbred to Old Morocco Mare (5 x 4) x 4 = 3.90625
FOX inbred to Old Bald Peg 5 x (5 x 4) = 3.125
Total SIC for FOX = 16.40625
CLUMSEY = 28.7109375 4 = 7.177734375
Bay Peg = 18.75 4 = 4.6875 4 = 1.171875
Total CIC for FOX = 24.755859375


BOLTON GOLIAH
(9.375)
FOX
(24.755859375)
CLUMSEY GREY HAUTBOY HAUTBOY * DARCY'S WHITE TURK **
Lonsdale Arabian Mare ***
   
 
Darcy's Pet Mare DARCY'S WHITE TURK **  
 
Darcy's Grey Royal ***  
 
       
 
   
 
     
 
   
 
Champion mare
(1.7578125)
CHAMPION
(7.03125)
     
 
   
 
Hautboy mare
(28.125)
HAUTBOY * DARCY'S WHITE TURK **
Lonsdale Arabian Mare ***
   
 
       
 
   
 
     
 
   
 

BOLTON GOLIAH inbred to Darcy's Grey Royal=Lonsdale Arabian Mare (5 x 4) x 5 = 3.125
BOLTON GOLIAH inbred to DARCY'S WHITE TURK (5 x 4) x 5 = 3.125
BOLTON GOLIAH inbred to HAUTBOY 4 x 4 = 3.125
Total SIC for BOLTON GOLIAH = 9.375
FOX = 24.755859375 4 = 6.18896484375
Champion mare = 28.125 4 = 7.03125 4 = 1.7578125 4 = 0.439453125
Total CIC for BOLTON GOLIAH = 16.00341796875


Heneage's Jigg mare
(12.5)
HENEAGE'S JIGG
(6.18896484375)
SON OF JIGG
(24.755859375)
PELHAM'S JIGG BYERLEY'S TURK *  
 
Charming Jenny **  
Old Morocco Mare ***
     
 
   
 
       
 
   
 
     
 
   
 
Brother to Snake mare
(1.171875)
BROTHER TO SNAKE
(4.6875)
LISTER'S TURK *    
 
   
 
Charming Jenny **
(18.75)
SPANKER  
Old Morocco Mare ***
Old Morocco Mare ***  
 
       
 
   
 
     
 
   
 

Heneage's Jigg mare inbred to BYERLEY'S TURK=LISTER'S TURK 4 x 3 = 4.6875
Heneage's Jigg mare inbred to Charming Jenny 4 x 3 = 4.6875
Heneage's Jigg mare inbred to Old Morocco Mare 5 x (5 x 4) = 3.125
Total SIC for Heneage's Jigg mare = 12.5
HENEAGE'S JIGG = 24.755859375 4 = 6.18896484375 4 = 1.5472412109375
Brother to Snake mare = 18.75 4 = 4.6875 4 = 1.171875 4 = 0.29296875
Total CIC for Heneage's Jigg mare = 14.3402099609375


HUNT'S JIGG
(6.25)
BOLTON GOLIAH
(16.00341796875)
FOX CLUMSEY GREY HAUTBOY *  
 
Darcy's Pet Mare **  
 
Bay Peg    
 
Yellow Bald Peg SPANKER ***
 
       
 
   
 
     
 
   
 
Heneage's Jigg mare
(14.3402099609375)
HENEAGE'S JIGG SON OF JIGG    
 
Grey Wilkes GREY HAUTBOY *
Darcy's Pet Mare **
     
 
   
 
Brother to Snake mare BROTHER TO SNAKE    
 
Charming Jenny SPANKER ***
 
     
 
   
 

HUNT'S JIGG inbred to Darcy's Pet Mare 4 x 5 = 2.34375
HUNT'S JIGG inbred to GREY HAUTBOY 4 x 5 = 2.34375
HUNT'S JIGG inbred to SPANKER 5 x 5 = 1.5625
Total SIC for HUNT'S JIGG = 6.25
BOLTON GOLIAH = 16.00341796875 4 = 4.0008544921875
Heneage's Jigg mare = 14.3402099609375 4 = 3.585052490234375
Total CIC for HUNT'S JIGG = 13.835906982421875


JIGG-OF-JIGGS
(28.125)
HUNT'S JIGG
(13.835906982421875)
BOLTON GOLIAH FOX CLUMSEY GREY HAUTBOY **
Darcy's Pet Mare ***
   
 
     
 
   
 
Heneage's Jigg mare *      
 
   
 
Brother to Snake mare BROTHER TO SNAKE LISTER'S TURK ****
Charming Jenny *****
   
 
Heneage's Jigg mare *
(14.3402099609375)
HENEAGE'S JIGG SON OF JIGG PELHAM'S JIGG BYERLEY'S TURK ****
Charming Jenny *****
Grey Wilkes GREY HAUTBOY **
Darcy's Pet Mare ***
     
 
   
 
Brother to Snake mare BROTHER TO SNAKE LISTER'S TURK ****  
 
Charming Jenny *****  
 
     
 
   
 

JIGG-OF-JIGGS inbred to Heneage's Jigg mare 2 x 1 = 18.75
JIGG-OF-JIGGS inbred to BYERLEY'S TURK=LISTER'S TURK 5 x (5 x 4) = 3.125
JIGG-OF-JIGGS inbred to Charming Jenny 5 x (5 x 4) = 3.125
JIGG-OF-JIGGS inbred to Darcy's Pet Mare 5 x 5 = 1.5625
JIGG-OF-JIGGS inbred to GREY HAUTBOY 5 x 5 = 1.5625
Total SIC for JIGG-OF-JIGGS = 28.125
HUNT'S JIGG = 13.835906982421875 4 = 3.45897674560546875
Heneage's Jigg mare = 14.3402099609375 4 = 3.585052490234375
Total CIC for JIGG-OF-JIGGS = 35.16902923583984375


HARDIMAN'S COEFFICIENT OF INBREEDING CALCULATED TO TWO DECIMAL PLACES

 

1. Compile a five generation pedigree and calculate the Standard Inbreeding Coefficient to two decimal places.

2. Add the Cumulative Inbreeding Coefficients of the sire and dam together and divide by four.

3. Add this figure to the Standard Inbreeding Coefficient and round to two decimal places.

Using this method and beginning with the earliest inbred ancestor, the cumulative inbreeding coefficient for Jigg-of-Jiggs is calculated as follows:

 

Brimmer mare
Total SIC = 9.38
Total CIC = 9.38

HAUTBOY
Total SIC = 9.38
Total CIC = 9.38

Hautboy mare (Hautboy oo Brimmer mare)
Total SIC = 23.44
Total CIC = 9.38 + 9.38 = 18.76 4 = 4.69 + 23.44 = 28.13

Yellow Bald Peg
Total SIC = 18.75
Total CIC = 18.75

Darcy's Pet Mare
Total SIC = 9.38
Total CIC = 9.38

Charming Jenny
Total SIC = 18.75
Total CIC = 18.75

GREY HAUTBOY (by Hautboy)
Total SIC = 0
Total CIC = 9.38 + 0 = 9.38 4 = 2.345 + 0 = 2.345 = 2.35

Grey Wilkes (Grey Hautboy oo Darcy's Pet Mare)
Total SIC = 25.78
Total CIC = 2.35 + 9.38 = 11.73 4 = 2.9325 + 25.78 = 28.7125 = 28.71

CLUMSEY (Grey Hautboy oo Darcy's Pet Mare)
Total SIC = 25.78
Total CIC = 2.35 + 9.38 = 11.73 4 = 2.9325 + 25.78 = 28.7125 = 28.71

PELHAM'S JIGG (oo Charming Jenny)
Total SIC = 0
Total CIC = 0 + 18.75 = 18.75 4 = 4.6875 + 0 = 4.6875 = 4.69

SON OF JIGG (Pelham's Jigg oo Grey Wilkes)
Total SIC = 16.41
Total CIC = 4.69 + 28.71= 33.40 4 = 8.35 + 16.41 = 24.76

Bay Peg (oo Yellow Bald Peg)
Total SIC = 0
Total CIC = 0 + 18.75 = 18.75 4 = 4.6875 + 0 = 4.6875 = 4.69

FOX (Clumsey oo Bay Peg)
Total SIC = 16.41
Total CIC = 28.71 + 4.69 = 33.40 4 = 8.35 + 16.41 = 24.76

CHAMPION (oo Hautboy mare)
Total SIC = 0
Total CIC = 0 + 28.13 = 28.13 4 = 7.0325 + 0 = 7.0325 = 7.03

Champion mare (by Champion)
Total SIC = 0
Total CIC = 7.03 + 0 = 7.03 4 = 1.7575 + 0 = 1.7575 = 1.76

BOLTON GOLIAH (Fox oo Champion mare)
Total SIC = 9.38
Total CIC = 24.76 + 1.76 = 26.52 4 = 6.63 + 9.38 =
16.01

HENEAGE'S JIGG (by Son of Jigg)
Total SIC = 0
Total CIC = 24.76 + 0 = 24.76 4 = 6.19 + 0 = 6.19

BROTHER TO SNAKE (oo Charming Jenny)
Total SIC = 0
Total CIC = 0 + 18.75 = 18.75 4 = 4.6875 + 0 = 4.6875 = 4.69

Brother to Snake mare (by Brother to Snake)
Total SIC = 0
Total CIC = 4.69 + 0 = 4.69 4 = 1.1725 + 0 = 1.1725 = 1.17

Heneage's Jigg mare (Heneage's Jigg oo Brother to Snake mare)
Total SIC = 12.50
Total CIC = 6.19 + 1.17 = 7.36 4 = 1.84 + 12.50 = 14.34

HUNT'S JIGG (Bolton Goliah oo Heneage's Jigg mare)
Total SIC = 6.25
Total CIC = 16.01 + 14.34 = 30.35 4 = 7.5875 + 6.25 = 13.8375 = 13.84

JIGG-OF-JIGGS (Hunt's Jigg oo Heneage's Jigg mare)
Total SIC = 28.13
Total CIC = 13.84 + 14.34 = 28.18 4 = 7.045 + 28.13 = 35.175 = 35.18

 

The difference between 35.18 and 35.16902923583984375 of less than 0.011 is negligible.


ADDITIONAL ANCESTORS FOR JIGG-OF-JIGGS

New information has come to light which suggests a probable pedigree for the Blue Cap mare, grandam of the Bolton Goliah. The links between the Piersons, the Stricklands and the Dukes of Bolton are multiplied plus the level of inbreeding is maintained.
See MERLIN, SMILING TOM, HIGHLANDER AND WOODCOCK for more information.

This new information has been added to the pedigree of Jigg-of-Jiggs and the Coefficient of Inbreeding recalculated.


THE COMPLETE PEDIGREE OF JIGG-OF-JIGGS
(including the pedigree of the Blue Cap mare)

 

                                              FAIRFAX'S MOROCCO BARB          =          Old Bald Peg
                                                 [HELMSLEY TURK]              |
                                                       |                      |
                      -------------------------------> | <--------------------------------------------------------------------------------------------------------------------
                      |                                |                                                                                                                     |
               Leedes Bald Peg                         |                        Lawson's Barb Mare     =             DARCY'S YELLOW TURK                        =     Old Morocco Mare
               [Young Bald Peg]                        |                        [Dodsworth's dam]      |                 [DODSWORTH]                            |            |
                      |                                |                        [Merlin's grandam]     |            [MERLIN'S GRANDSIRE]                        |            |
                      |                                |                                               |                      |                                 |            |
                      |                                |                                               |                      |                                 |            |
                  -----                                |                             -------------------                 ---------------                        |            |
                  |                                    |                             |                 |                 |             |                        |            |
                  |                            DARCY'S WHITE TURK       =   Pierson's Bay mare        mare  =   OGLETHORPE'S ARABIAN   |   Barb Mare            |            |
                  |                            [DARCY'S DIAMOND]        |                                   | [ALBEMARLE GREY ARABIAN] |       |                |            |
                  |                          [PLACE'S WHITE TURK]       |                                   |                          |       |                |            |
                  |                          [BURNET'S WHITE BARB]      ----------------------------------> | <------------            |       |                |            |
                  |                     [PLACE'S WHITE TRUGUNWELL TURK]                                     |             |            |       |                |            |
                  |                                    | 1668                                               |             |            |       |                |            |
                  |                 -----------------> | <---------------------------------------------------             |            |       |                |            |
                  |                 |                  |                                                                  |            |       |                |            |
                  |                 |                  |                 -----------------------------------------------> | <--------> | <---> | <---------------            |
                  |                 |                  |                 |                                                |             \     /                 |            |
                  |                 |                  |           Darcy's Grey Royal                                    mare     =     BRIMMER              SPANKER         |
                  |                 |                  |         [Lonsdale Arabian Mare]                                          |                             |            |
                  |                 |                  |                 |                                                        |                             |            |
                  |                 |                  ------------    ---                                                        |                             |            |
                  |                 |                              \  /                                                           |                             |            |
                  |       --------> | <---------------------------> | <---------------------------------------------------------> | <----------------------------            |
                  |       |         |                               |                                                             |                             |            |
                  |       |         |            -----------------> | <------------------------------------------------------------                             |            |
                  |       |         |            |                  |                                                                                           |            |
                  |       |         |            |                  ------------------------------------                                                        ---        --- 
                   \     /          |            |                  |                                  |                                                           \      /
               Yellow Bald Peg   MAKELESS   =   mare  =          HAUTBOY         Arlington Barb Mare   |     Brisk's dam    =       BYERLEY'S TURK      =      Charming Jenny
                [Chesnut Peg]               |         |         [ROCKWOOD]                |            |                    |       [LISTER'S TURK]     |
                     |                      |         |  [PULLEINE'S WHITE TURK]          |            |                    |     [RUTLAND BLACKLEGS]   |
                     |                      |         |  [PULLEINE'S OLD ARABIAN]         |            |                    |                 1678      |
                     |                      |         |             |                     |            |                    |                           |
                     |              ------> | <--------             |      ----------------         ----                    |                  ----------------------
                     |              |       |                        \    /                         |                       |                  |                    |
                  Bay Peg          mare    mare         =        GREY HAUTBOY        =       Darcy's Pet Mare          ACASTER TURK      PELHAM'S JIGG      BROTHER TO SNAKE
                 by Leedes          |                   |     [LAYTON GREY BARB]     |       [Old Grey Royal]          [CONEYSKINS]     [LISTER'S SNAKE]            |
                  Arabian           |                   |                            |    [Tregonwell Barb mare]            |                  |                    |
                     |              |                   |                            |  [Darcy's Oldest Royal Mare]         |                  |                    |
                     |              |         -----------                            |         [Clubfoot]                   |                  |                    |
                     |              |         |                                      |                                      |                  |                    |
                     |              |         |                                      |                                      |                  |                    |
                     |              --------> | <-------------   ------------------> | <-------------------------------------                  |                    |
                     |              |         |               \ /                    |                                                         |                    |
                     -------------> | <-----> | <------------> | <--------------     -----------------------------------------------           |                    |
                                    |         |                |               |     |                                             |           |                    |
                                    |         |                |               |     |                                             |           |                    |
                                    |        mare     =     BLUE CAP           |  CLUMSEY            CURWEN'S BAY BARB        Grey Wilkes      |                   mare
                                    |                 |     [TERROR]           |     |                       |                [Old Wilkes]     |                    |
                                    |                 |                        |     |                       |                     |           |                    |
                                    |                 |                        |     |                       |                     |           |                    |
                                    |                 |                         \   /                        |                      \          /                    |
                                CHAMPION             mare                        FOX                        mare        =           SON OF JIGG                     |
                            by Harpham Arabian        |                           | 1714                                |      [SMITH'S SON OF SNAKE]               |
                                    | 1707            |                           |                                     |                                           |
                                    --------    -------                           |                                     |                                           |
                                            \  /                                  |                                     |                                           |
                                            mare                                  |                              HENEAGE'S JIGG                                     |
                                             |                                    |                                     |                                           |
                                             ----------------       ---------------                                     --------------------     --------------------
                                                             \     /                                                                         \  /
                                                          BOLTON GOLIAH                         =                                            mare
                                                                  1730                          |                                             |
                                                                                                |                                             |
                                                                                                |                                             |
                                                                                           HUNT'S JIGG                                        |
                                                                                                | 1741                                        |
                                                                                                -----------------             -----------------
                                                                                                                 \           /
                                                                                                                 JIGG-OF-JIGGS
                                                                                                                         1745

The inbreeding coefficient for Jigg-of-Jiggs is calculated as follows:

0 1 2 3 4 5
JIGG-OF-JIGGS
28.125
04.56027984619140625
03.585052490234375
(36.27033233642578125)
HUNT'S JIGG
01.7578125
01.9062042236328125
00.89626312255859375
(04.56027984619140625)
BOLTON GOLIAH
00.9765625
00.386810302734375
00.5428314208984375
(01.9062042236328125)
FOX
00.25634765625
00.112152099609375
00.018310546875
(00.386810302734375)
CLUMSEY
00.1007080078125
00.002288818359375
00.0091552734375
(00.112152099609375)
GREY HAUTBOY
(00.002288818359375)
Darcy's Pet Mare
(00.0091552734375 )
Bay Peg
(00.018310546875)
LEEDES ARABIAN

Yellow Bald Peg
(00.018310546875)

Champion mare
00.40283203125
00.0274658203125
00.1125335693359375
(00.5428314208984375)
CHAMPION
(00.0274658203125)
HARPHAM ARABIAN
Hautboy mare
(00.0274658203125)
Blue Cap mare
00.08544921875
00.006866455078125
00.0202178955078125
(00.1125335693359375)
BLUE CAP
(00.006866455078125)
Grey Hautboy mare
(00.0202178955078125)
Heneage's Jigg mare
00.78125
00.09670257568359375
00.018310546875
(00.89626312255859375)
HENEAGE'S JIGG
(00.09670257568359375)
SON OF JIGG
00.0640869140625
00.00457763671875
00.02803802490234375
(00.09670257568359375)
PELHAM'S JIGG
(00.00457763671875)
Grey Wilkes
(00.02803802490234375)
Curwen's Bay Barb mare
CURWEN'S BAY BARB
 
Brother to Snake mare
(00.018310546875)
BROTHER TO SNAKE
(00.018310546875)
LISTER'S TURK
Charming Jenny
(00.018310546875)
   
 
Heneage's Jigg mare
(03.585052490234375)
HENEAGE'S JIGG SON OF JIGG PELHAM'S JIGG BYERLEY'S TURK
Charming Jenny
Grey Wilkes GREY HAUTBOY
Darcy's Pet Mare
Curwen's Bay Barb mare
CURWEN'S BAY BARB  
 
   
 
Brother to Snake mare BROTHER TO SNAKE LISTER'S TURK  
 
Charming Jenny SPANKER
Old Morocco Mare
     
 
   
 
0 1 2 3 4 5

Details of each specific inbreeding:

JIGG-OF-JIGGS inbred to Heneage's Jigg mare 2 x 1 = 18.75
JIGG-OF-JIGGS inbred to BYERLEY'S TURK=LISTER'S TURK 5 x (5 x 4) = 3.125
JIGG-OF-JIGGS inbred to Charming Jenny 5 x (5 x 4) = 3.125
JIGG-OF-JIGGS inbred to Darcy's Pet Mare 5 x 5 = 1.5625
JIGG-OF-JIGGS inbred to GREY HAUTBOY 5 x 5 = 1.5625
Total SIC for JIGG-OF-JIGGS = 28.125

HUNT'S JIGG inbred to GREY HAUTBOY (4 x 5) x 5 = 3.125
HUNT'S JIGG inbred to Darcy's Pet Mare 4 x 5 = 2.34375
HUNT'S JIGG inbred to SPANKER 5 x 5 = 1.5625
Total SIC for HUNT'S JIGG = 7.03125

BOLTON GOLIAH inbred to GREY HAUTBOY 3 x 4 = 4.6875
BOLTON GOLIAH inbred to HAUTBOY 4 x (4 x 5 x 5) = 4.6875
BOLTON GOLIAH inbred to Darcy's Grey Royal=Lonsdale Arabian Mare (5 x 4) x 5 = 3.125
BOLTON GOLIAH inbred to DARCY'S WHITE TURK (5 x 4) x 5 = 3.125
Total SIC for BOLTON GOLIAH = 15.625

Heneage's Jigg mare inbred to BYERLEY'S TURK=LISTER'S TURK 4 x 3 = 4.6875
Heneage's Jigg mare inbred to Charming Jenny 4 x 3 = 4.6875
Heneage's Jigg mare inbred to Old Morocco Mare 5 x (5 x 4) = 3.125
Total SIC for Heneage's Jigg mare = 12.5

FOX inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (5 x 4 x 5) x (5 x 4) = 5.46875
FOX inbred to DARCY'S YELLOW TURK (5 x 4) x 4 = 3.90625
FOX inbred to Old Morocco Mare (5 x 4) x 4 = 3.90625
FOX inbred to Old Bald Peg 5 x (5 x 4) = 3.125
Total SIC for FOX = 16.40625

Champion mare inbred to Hautboy mare 2 x 3 = 9.375
Champion mare inbred to Brimmer mare 3 x (4 x 4) = 6.25
Champion mare inbred to HAUTBOY 3 x (4 x 4) = 6.25
Champion mare inbred to DARCY'S DIAMOND=DARCY'S WHITE TURK (4 x 5) x (5 x 5) = 3.90625
Total SIC for Champion mare = 25.78125

CLUMSEY inbred to Darcy's Grey Royal=Lonsdale Arabian Mare 3 x 2 = 9.375
CLUMSEY inbred to DARCY'S WHITE TURK 3 x 2 = 9.375
CLUMSEY inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (4 x 5) x (3 x 4) = 7.03125
Total SIC for CLUMSEY = 25.78125

Blue Cap mare inbred to Brimmer mare 3 x 3 = 6.25
Blue Cap mare inbred to HAUTBOY 3 x 3 = 6.25
Blue Cap mare inbred to DARCY'S DIAMOND=DARCY'S WHITE TURK (4 x 5) x (4 x 5) = 4.6875
Blue Cap mare inbred to DARCY'S YELLOW TURK (5 x 5) x (5 x 5 x 5 x 5) = 4.6875
Total SIC for Blue Cap mare = 21.875

SON OF JIGG inbred to Old Morocco Mare (4 x 3) x (5 x 4) = 7.03125
SON OF JIGG inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (5 x 4) x (5 x 4 x 5) = 5.46875
SON OF JIGG inbred to DARCY'S YELLOW TURK 4 x (5 x 4) = 3.90625
Total SIC for SON OF JIGG = 16.40625

Yellow Bald Peg inbred to FAIRFAX'S MOROCCO BARB 3 x 2 = 9.375
Yellow Bald Peg inbred to Old Bald Peg 3 x 2 = 9.375
Total SIC for Yellow Bald Peg = 18.75

Hautboy mare inbred to DARCY'S DIAMOND=DARCY'S WHITE TURK 2 x 3 = 9.375
Hautboy mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE 3 x (3 x 4) = 7.8125
Hautboy mare inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (3 x 4) x 4 = 6.25
Total SIC for Hautboy mare = 23.4375

Grey Hautboy mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE 4 x (4 x 4 x 4 x 5) = 7.03125
Grey Hautboy mare inbred to DARCY'S DIAMOND=DARCY'S WHITE TURK 3 x 4 = 4.6875
Grey Hautboy mare inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (4 x 5) x 5 = 3.125
Total SIC for Grey Hautboy mare = 14.84375

Grey Wilkes inbred to Darcy's Grey Royal=Lonsdale Arabian Mare 3 x 2 = 9.375
Grey Wilkes inbred to DARCY'S WHITE TURK 3 x 2 = 9.375
Grey Wilkes inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (4 x 5) x (3 x 4) = 7.03125
Total SIC for Grey Wilkes = 25.78125

Darcy's Pet Mare inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK 2 x 3 = 9.375
Total SIC for Darcy's Pet Mare = 9.375

Charming Jenny inbred to Old Morocco Mare 2 x 1 = 18.75
Total SIC for Charming Jenny = 18.75

HAUTBOY inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK 2 x 3 = 9.375
Total SIC for HAUTBOY = 9.375

Makeless mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE (3 x 3) x (3 x 4) = 10.9375
Makeless mare inbred to Lawson's Barb Mare 3 x 4 = 4.6875
Total SIC for Makeless mare = 15.625

MAKELESS inbred to DARCY'S YELLOW TURK 2 x 2 = 12.5
Total SIC for MAKELESS = 12.5

Brimmer mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE 2 x 3 = 9.375
Total SIC for Brimmer mare = 9.375

 

METHOD ONE
Working forwards through the pedigree

7 HAUTBOY = modified SIC of
00.00057220458984375
7 Brimmer mare = modified SIC of
00.00057220458984375
7 MAKELESS = modified SIC of
00.000762939453125
6 Hautboy mare = modified SIC of
00.0057220458984375 + modified SIC for HAUTBOY in generation 7 of
00.00057220458984375 + modified SIC for Brimmer mare in generation 7 of
00.00057220458984375 =
00.006866455078125
6 Makeless mare = modified SIC of
00.003814697265625 + modified SIC for MAKELESS in generation 7 of
00.000762939453125 + modified SIC for Brimmer mare in generation 7 of
00.00057220458984375 =
00.00514984130859375
6 Charming Jenny = modified SIC of
00.00457763671875
6 Darcy's Pet Mare = modified SIC of
00.002288818359375
5 Yellow Bald Peg = modified SIC of
00.018310546875
5 Grey Hautboy mare = modified SIC of
00.014495849609375 + modified SIC for HAUTBOY in generation 7 of
00.00057220458984375 + modified CIC for Makeless mare in generation 6 of
00.00514984130859375 =
00.0202178955078125
5 Grey Wilkes = modified SIC of
00.025177001953125 + modified SIC for HAUTBOY in generation 7 of
00.00057220458984375 + modified SIC for Darcy's Pet Mare in generation 6 of
00.002288818359375 =
00.02803802490234375
4 CLUMSEY = modified SIC of
00.1007080078125 + 4 x modified SIC for HAUTBOY in generation 7 =
00.002288818359375 + 4 x modified SIC for Darcy's Pet Mare in generation 6 =
00.0091552734375 =
00.112152099609375
4

Blue Cap mare = modified SIC of
00.08544921875 + modified CIC for Hautboy mare in generation 6 of
00.006866455078125 + modified SIC for Grey Hautboy mare in generation 5 of
00.0202178955078125 =
00.1125335693359375

4 SON OF JIGG = modified SIC of
00.0640869140625 + modified SIC for Charming Jenny in generation 6 of
00.00457763671875 + modified CIC for Grey Wilkes in generation 5 of
00.02803802490234375 =
00.09670257568359375
3 FOX = modified SIC of
00.25634765625 + modified CIC for CLUMSEY in generation 4 of
00.112152099609375 + modified SIC for Yellow Bald Peg in generation 5 of
00.018310546875 =
00.386810302734375
3 Champion mare = modified SIC of
00.40283203125 + 4 x modified CIC for Hautboy mare in generation 6 =
00.0274658203125 + modified CIC for Blue Cap mare in generation 4 of
00.1125335693359375 =
00.5428314208984375
2 BOLTON GOLIAH = modified SIC of
00.9765625 + modified CIC for FOX in generation 3 of
00.386810302734375 + modified CIC for Champion mare in generation 3 of
00.5428314208984375 =
01.9062042236328125
2 Heneage's Jigg mare = modified SIC of
00.78125 + modified CIC for SON OF JIGG in generation 4 of
00.09670257568359375 + 4 x the modified SIC for Charming Jenny in generation 6 =
00.018310546875 =
00.89626312255859375
1 HUNT'S JIGG = modified SIC of
01.7578125 + modified CIC for BOLTON GOLIAH in generation 2 of
01.9062042236328125 + modified CIC for Heneage's Jigg mare in generation 2 of
00.89626312255859375 =
04.56027984619140625
1 Heneage's Jigg mare = 4 x the modified CIC in generation 2 =
03.585052490234375
0 JIGG-OF-JIGGS = SIC of
28.125 + modified CIC for HUNT'S JIGG in generation 1 of
04.56027984619140625 + modified CIC for Heneage's Jigg mare in generation 1 of
03.585052490234375 =
36.27033233642578125

 

METHOD TWO
Working backwards through the pedigree

  Inbred Horse SIC   Modified SIC
0 JIGG-OF-JIGGS 28.125   28.125
1 HUNT'S JIGG 7.03125 4 01.7578125
1 Heneage's Jigg mare 12.5 4 03.125
2 BOLTON GOLIAH 15.625 16 00.9765625
2 Heneage's Jigg mare 12.5 16 00.78125
3 FOX 16.40625 64 00.25634765625
3 Champion mare 25.78125 64 00.40283203125
3 SON OF JIGG 16.40625 64 00.25634765625
4 CLUMSEY 25.78125 256 00.1007080078125
4 Blue Cap mare 21.875 256 00.08544921875
4 SON OF JIGG 16.40625 256 00.0640869140625
4 Grey Wilkes 25.78125 256 00.1007080078125
4 Charming Jenny 18.75 256 00.0732421875
5 Darcy's Pet Mare 9.375 1024 00.0091552734375
5 Yellow Bald Peg 18.75 1024 00.018310546875
5 Hautboy mare 23.4375 1024 00.02288818359375
5 Grey Hautboy mare 14.84375 1024 00.014495849609375
5 Grey Wilkes 25.78125 1024 00.025177001953125
5 Charming Jenny 18.75 1024 00.018310546875
5 Charming Jenny 18.75 1024 00.018310546875
5 Darcy's Pet Mare 9.375 1024 00.0091552734375
6 HAUTBOY 9.375 4096 00.002288818359375
6 HAUTBOY 9.375 4096 00.002288818359375
6 Brimmer mare 9.375 4096 00.002288818359375
6 Hautboy mare 23.4375 4096 00.0057220458984375
6 Makeless mare 15.625 4096 00.003814697265625
6 Charming Jenny 18.75 4096 00.00457763671875
6 Darcy's Pet Mare 9.375 4096 00.002288818359375
6 HAUTBOY 9.375 4096 00.002288818359375
7 HAUTBOY 9.375 16384 00.00057220458984375
7 Brimmer mare 9.375 16384 00.00057220458984375
7 HAUTBOY 9.375 16384 00.00057220458984375
7 MAKELESS 12.5 16384 00.000762939453125
7 Brimmer mare 9.375 16384 00.00057220458984375
7 HAUTBOY 9.375 16384 00.00057220458984375
CIC for JIGG-OF-JIGGS 36.27033233642578125

 

METHOD THREE
Register of Inbreeding Coefficients

The figure of 36.27033233642578125, arrived at by both Method One and Method Two above, is the cumulative inbreeding coefficent for Jigg-of-Jiggs and includes all the inbreeding in his pedigree back as far as records allow. The standard inbreeding coefficient for Jigg-of-Jiggs of 28.125 is only four fifths of this total, so it is clear that the inbreeding carried forward from previous generations is still valid but the methods of calculation are cumbersome and time consuming.

It is proposed that a Register of Inbreeding Coefficients of all stallions and mares be compiled, so that any Thoroughbred's cumulative inbreeding coefficient may be found by first calculating the standard inbreeding coefficient and adding to it one quarter the value of each of the parents cumulative inbreeding coefficients as taken from the register.

Using this method and beginning with the earliest inbred ancestor, the cumulative inbreeding coefficient for Jigg-of-Jiggs is calculated as follows:

HAUTBOY
(9.375)
DARCY'S WHITE TURK
(0)
HELMSLEY TURK *      
 
   
 
     
 
   
 
       
 
   
 
     
 
   
 
Lonsdale Arabian Mare
(0)
       
 
   
 
     
 
   
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB *    
 
   
 
     
 
   
 

HAUTBOY inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK 2 x 3 = 9.375
Total SIC and CIC for HAUTBOY = 9.375


Brimmer mare
(9.375)
BRIMMER
(0)
DARCY'S YELLOW TURK *      
 
   
 
     
 
   
 
       
 
   
 
     
 
   
 
Darcy's Diamond mare
(0)
       
 
   
 
     
 
   
 
Pierson's Bay Mare MERLIN'S GRANDSIRE *    
 
   
 
     
 
   
 

Brimmer mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE 2 x 3 = 9.375
Total SIC and CIC for Brimmer mare = 9.375


MAKELESS
(12.5)
OGLETHORPE'S ARABIAN
(0)
DARCY'S YELLOW TURK *      
 
   
 
     
 
   
 
       
 
   
 
     
 
   
 
Darcy's Yellow Turk mare
(0)
DARCY'S YELLOW TURK *      
 
   
 
     
 
   
 
       
 
   
 
     
 
   
 

MAKELESS inbred to DARCY'S YELLOW TURK 2 x 2 = 12.5
Total SIC and CIC for MAKELESS = 12.5


Hautboy mare
(23.4375)

HAUTBOY
(9.375)

DARCY'S WHITE TURK * HELMSLEY TURK **    
 
   
 
     
 
   
 
Lonsdale Arabian Mare DARCY'S YELLOW
TURK ***
   
 
   
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB **  
 
   
 
Brimmer mare
(9.375)
BRIMMER DARCY'S YELLOW
TURK ***
   
 
   
 
     
 
   
 
Darcy's Diamond mare DARCY'S DIAMOND * HELMSLEY TURK **  
 
   
 
Pierson's Bay Mare MERLIN'S GRANDSIRE***  
 
   
 

Hautboy mare inbred to DARCY'S DIAMOND=DARCY'S WHITE TURK 2 x 3 = 9.375
Hautboy mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE 3 x (3 x 4) = 7.8125
Hautboy mare inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (3 x 4) x 4 = 6.25
Total SIC for Hautboy mare = 23.4375
HAUTBOY = 9.375 4 = 2.34375
Brimmer mare = 9.375 4 = 2.34375
Total CIC for Hautboy mare = 28.125


Makeless mare
(15.625)
MAKELESS
(12.5)
OGLETHORPE'S ARABIAN DARCY'S YELLOW TURK *    
 
   
 
     
 
   
 
Darcy's Yellow Turk mare DARCY'S YELLOW TURK *    
 
   
 
Lawson's Barb Mare **    
 
   
 
Brimmer mare
(9.375)
BRIMMER DARCY'S YELLOW TURK *    
 
   
 
     
 
   
 
Darcy's Diamond mare      
 
   
 
Pierson's Bay Mare MERLIN'S GRANDSIRE *  
 
Lawson's Barb Mare **  
 

Makeless mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE (3 x 3) x (3 x 4) = 10.9375
Makeless mare inbred to Lawson's Barb Mare 3 x 4 = 4.6875
Total SIC for Makeless mare = 15.625
MAKELESS = 12.5 4 = 3.125
Brimmer
mare = 9.375 4 = 2.34375
Total CIC for Makeless mare = 21.09375


Charming Jenny
(18.75)
SPANKER
(0)
       
 
   
 
     
 
   
 
Old Morocco Mare *      
 
   
 
     
 
   
 
Old Morocco Mare *
(0)
       
 
   
 
     
 
   
 
       
 
   
 
     
 
   
 

Charming Jenny inbred to Old Morocco Mare 2 x 1 = 18.75
Total SIC and CIC for Charming Jenny = 18.75


Darcy's Pet Mare
(9.375)
DARCY'S WHITE TURK
(0)
HELMSLEY TURK *      
 
   
 
     
 
   
 
       
 
   
 
     
 
   
 
Darcy's Grey Royal
(0)
       
 
   
 
     
 
   
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB *    
 
   
 
     
 
   
 

Darcy's Pet Mare inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK 2 x 3 = 9.375
Total SIC and CIC for Darcy's Pet Mare = 9.375


Yellow Bald Peg
(18.75)
SPANKER
(0)
       
 
   
 
     
 
   
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB *    
 
   
 
Old Bald Peg **    
 
   
 
Leedes Bald Peg
(0)
FAIRFAX'S MOROCCO BARB *      
 
   
 
     
 
   
 
Old Bald Peg **      
 
   
 
     
 
   
 

Yellow Bald Peg inbred to FAIRFAX'S MOROCCO BARB 3 x 2 = 9.375
Yellow Bald Peg inbred to Old Bald Peg 3 x 2 = 9.375
Total SIC and CIC for Yellow Bald Peg = 18.75


Grey Hautboy mare
(14.84375)
GREY HAUTBOY
(2.34375)
HAUTBOY
(9.375)
DARCY'S WHITE TURK * HELMSLEY TURK ***  
 
   
 
Lonsdale Arabian Mare DARCY'S YELLOW TURK **  
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB ***
 
       
 
   
 
     
 
   
 
Makeless mare
(21.09375)
MAKELESS OGLETHORPE'S ARABIAN DARCY'S YELLOW TURK **  
 
   
 
Darcy's Yellow Turk mare DARCY'S YELLOW TURK **  
 
   
 
Brimmer mare BRIMMER DARCY'S YELLOW TURK **  
 
   
 
Darcy's Diamond mare DARCY'S DIAMOND * HELMSLEY TURK ***
 
Pierson's Bay Mare MERLIN'S GRANDSIRE **
 

Grey Hautboy mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE 4 x (4 x 4 x 4 x 5) = 7.03125
Grey Hautboy mare inbred to DARCY'S DIAMOND=DARCY'S WHITE TURK 3 x 4 = 4.6875
Grey Hautboy mare inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (4 x 5) x 5 = 3.125
Total SIC for Grey Hautboy mare = 14.84375
GREY HAUTBOY = 2.34375 4 = 0.5859375
Makeless mare = 21.09375 4 = 5.2734375
Total CIC for Grey Hautboy mare = 20.703125


Grey Wilkes
(25.78125)
GREY HAUTBOY
(2.34375)
HAUTBOY
(9.375)
DARCY'S WHITE TURK * HELMSLEY TURK ***  
 
   
 
Lonsdale Arabian Mare **    
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB ***
 
       
 
   
 
     
 
   
 
Darcy's Pet Mare
(9.375)
DARCY'S WHITE TURK * HELMSLEY TURK ***    
 
   
 
     
 
   
 
Darcy's Grey Royal **      
 
   
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB ***  
 
   
 

Grey Wilkes inbred to Darcy's Grey Royal=Lonsdale Arabian Mare 3 x 2 = 9.375
Grey Wilkes inbred to DARCY'S WHITE TURK 3 x 2 = 9.375
Grey Wilkes inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (4 x 5) x (3 x 4) = 7.03125
Total SIC for Grey Wilkes = 25.78125
GREY HAUTBOY = 9.375 4 = 2.34375 4 = 0.5859375
Darcy's Pet Mare = 9.375 4 = 2.34375
Total CIC for Grey Wilkes = 28.7109375


CLUMSEY
(25.78125)
GREY HAUTBOY
(2.34375)
HAUTBOY
(9.375)
DARCY'S WHITE TURK * HELMSLEY TURK ***  
 
   
 
Lonsdale Arabian Mare **    
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB ***
 
       
 
   
 
     
 
   
 
Darcy's Pet Mare
(9.375)
DARCY'S WHITE TURK * HELMSLEY TURK ***    
 
   
 
     
 
   
 
Darcy's Grey Royal **      
 
   
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB ***  
 
   
 

CLUMSEY inbred to Darcy's Grey Royal=Lonsdale Arabian Mare 3 x 2 = 9.375
CLUMSEY inbred to DARCY'S WHITE TURK 3 x 2 = 9.375
CLUMSEY inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (4 x 5) x (3 x 4) = 7.03125
Total SIC for CLUMSEY = 25.78125
GREY HAUTBOY = 9.375 4 = 2.34375 4 = 0.5859375
Darcy's Pet Mare = 9.375 4 = 2.34375
Total CIC for CLUMSEY = 28.7109375


Blue Cap mare
(20.3125)
BLUE CAP
(7.03125)
       
 
   
 
     
 
   
 
Hautboy mare
(28.125)
HAUTBOY * DARCY'S WHITE TURK ***  
 
Lonsdale Arabian Mare DARCY'S YELLOW TURK ****
 
Brimmer mare ** BRIMMER DARCY'S YELLOW TURK ****
 
Darcy's Diamond mare DARCY'S DIAMOND ***
 
Grey Hautboy mare
(20.703125)
GREY HAUTBOY HAUTBOY * DARCY'S WHITE TURK ***  
 
Lonsdale Arabian Mare DARCY'S YELLOW TURK ****
 
     
 
   
 
Makeless mare MAKELESS OGLETHORPE'S ARABIAN DARCY'S YELLOW TURK ****
 
Darcy's Yellow Turk mare DARCY'S YELLOW TURK ****
 
Brimmer mare ** BRIMMER DARCY'S YELLOW TURK ****
 
Darcy's Diamond mare DARCY'S DIAMOND ***
 

Blue Cap mare inbred to Brimmer mare 3 x 3 = 6.25
Blue Cap mare inbred to HAUTBOY 3 x 3 = 6.25
Blue Cap mare inbred to DARCY'S DIAMOND=DARCY'S WHITE TURK (4 x 5) x (4 x 5) = 4.6875
Blue Cap mare inbred to
DARCY'S YELLOW TURK (5 x 5) x (5 x 5 x 5 x 5) = 4.6875
Total SIC for Blue Cap mare = 21.875
BLUE CAP = 28.125 4 = 7.03125 4 = 1.7578125
Grey Hautboy mare = 20.703125 4 = 5.17578125
Total CIC for Blue Cap mare = 28.80859375


SON OF JIGG
(16.40625)
PELHAM'S JIGG
(4.6875)
       
 
   
 
     
 
   
 
Charming Jenny
(18.75)
SPANKER DARCY'S YELLOW
TURK **
 
 
Old Morocco Mare * FAIRFAX'S MOROCCO BARB ***
 
Old Morocco Mare * FAIRFAX'S MOROCCO BARB ***  
 
   
 
Grey Wilkes
(28.7109375)
GREY HAUTBOY HAUTBOY DARCY'S WHITE TURK HELMSLEY TURK ***
 
Lonsdale Arabian Mare DARCY'S YELLOW
TURK **
Old Morocco Mare *
     
 
   
 
Darcy's Pet Mare DARCY'S WHITE TURK HELMSLEY TURK ***  
 
   
 
Darcy's Grey Royal DARCY'S YELLOW
TURK **
 
 
Old Morocco Mare * FAIRFAX'S MOROCCO BARB ***
 

SON OF JIGG inbred to Old Morocco Mare (4 x 3) x (5 x 4) = 7.03125
SON OF JIGG inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (5 x 4) x (5 x 4 x 5) = 5.46875
SON OF JIGG inbred to DARCY'S YELLOW TURK 4 x (5 x 4) = 3.90625
Total SIC for SON OF JIGG = 16.40625
PELHAM'S JIGG = 18.75 4 = 4.6875 4 = 1.171875
Grey Wilkes =28.7109375 4 = 7.177734375
Total CIC for SON OF JIGG = 24.755859375


FOX
(16.40625)
CLUMSEY
(28.7109375)
GREY HAUTBOY HAUTBOY DARCY'S WHITE TURK HELMSLEY TURK *
 
Lonsdale Arabian Mare DARCY'S YELLOW
TURK **
Old Morocco Mare ***
     
 
   
 
Darcy's Pet Mare DARCY'S WHITE TURK HELMSLEY TURK *  
 
   
 
Darcy's Grey Royal DARCY'S YELLOW
TURK **
 
 
Old Morocco Mare *** FAIRFAX'S MOROCCO BARB *
Old Bald Peg ****
Bay Peg
(4.6875)
       
 
   
 
     
 
   
 
Yellow Bald Peg
(18.75)
SPANKER DARCY'S YELLOW
TURK **
 
 
Old Morocco Mare *** FAIRFAX'S MOROCCO BARB *
Old Bald Peg ****
Leedes Bald Peg FAIRFAX'S MOROCCO BARB *  
 
Old Bald Peg ****  
 

FOX inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (5 x 4 x 5) x (5 x 4) = 5.46875
FOX inbred to DARCY'S YELLOW TURK (5 x 4) x 4 = 3.90625
FOX inbred to Old Morocco Mare (5 x 4) x 4 = 3.90625
FOX inbred to Old Bald Peg 5 x (5 x 4) = 3.125
Total SIC for FOX = 16.40625
CLUMSEY = 28.7109375 4 = 7.177734375
Bay Peg = 18.75 4 = 4.6875 4 = 1.171875
Total CIC for FOX = 24.755859375


Champion mare
(25.78125)
CHAMPION
(7.03125)
       
 
   
 
     
 
   
 
Hautboy mare *
(28.125)
HAUTBOY ** DARCY'S WHITE TURK ****  
 
   
 
Brimmer mare ***    
 
Darcy's Diamond mare DARCY'S DIAMOND ****
 
Blue Cap mare
(28.80859375)

BLUE CAP      
 
   
 
Hautboy mare * HAUTBOY ** DARCY'S WHITE TURK ****
 
Brimmer mare ***  
 
Grey Hautboy mare GREY HAUTBOY HAUTBOY ** DARCY'S WHITE TURK ****
 
   
 
Makeless mare    
 
Brimmer mare ***  
 

Champion mare inbred to Hautboy mare 2 x 3 = 9.375
Champion mare inbred to Brimmer mare 3 x (4 x 4) = 6.25
Champion mare inbred to HAUTBOY 3 x (4 x 4) = 6.25
Champion mare inbred to DARCY'S DIAMOND=DARCY'S WHITE TURK (4 x 5) x (5 x 5) = 3.90625
Total SIC for Champion mare = 25.78125
CHAMPION = 28.125 4 = 7.03125 4 = 1.7578125
Blue Cap mare = 28.80859375 4 = 7.2021484375
Total CIC for Champion mare = 34.7412109375


BOLTON GOLIAH
(15.625)
FOX
(24.755859375)
CLUMSEY GREY HAUTBOY * HAUTBOY ** DARCY'S WHITE TURK ***
Lonsdale Arabian Mare ****
   
 
Darcy's Pet Mare DARCY'S WHITE TURK ***  
 
Darcy's Grey Royal ****  
 
       
 
   
 
     
 
   
 
Champion mare
(34.7412109375)
CHAMPION      
 
   
 
Hautboy mare HAUTBOY ** DARCY'S WHITE TURK ***
Lonsdale Arabian Mare ****
   
 
Blue Cap mare BLUE CAP    
 
Hautboy mare HAUTBOY **
 
Grey Hautboy mare GREY HAUTBOY * HAUTBOY **
 
   
 

BOLTON GOLIAH inbred to GREY HAUTBOY 3 x 4 = 4.6875
BOLTON GOLIAH inbred to HAUTBOY 4 x (4 x 5 x 5) = 4.6875
BOLTON GOLIAH inbred to Darcy's Grey Royal=Lonsdale Arabian Mare (5 x 4) x 5 = 3.125
BOLTON GOLIAH inbred to DARCY'S WHITE TURK (5 x 4) x 5 = 3.125
Total SIC for BOLTON GOLIAH = 15.625
FOX = 24.755859375 4 = 6.18896484375
Champion mare = 34.7412109375 4 = 8.685302734375
Total CIC for BOLTON GOLIAH = 30.499267578125


Heneage's Jigg mare
(12.5)
HENEAGE'S JIGG
(6.18896484375)
SON OF JIGG
(24.755859375)
PELHAM'S JIGG BYERLEY'S TURK *  
 
Charming Jenny **  
Old Morocco Mare ***
     
 
   
 
       
 
   
 
     
 
   
 
Brother to Snake mare
(1.171875)
BROTHER TO SNAKE
(4.6875)
LISTER'S TURK *    
 
   
 
Charming Jenny **
(18.75)
SPANKER  
Old Morocco Mare ***
Old Morocco Mare ***  
 
       
 
   
 
     
 
   
 

Heneage's Jigg mare inbred to BYERLEY'S TURK=LISTER'S TURK 4 x 3 = 4.6875
Heneage's Jigg mare inbred to Charming Jenny 4 x 3 = 4.6875
Heneage's Jigg mare inbred to Old Morocco Mare 5 x (5 x 4) = 3.125
Total SIC for Heneage's Jigg mare = 12.5
HENEAGE'S JIGG = 24.755859375 4 = 6.18896484375 4 = 1.5472412109375
Brother to Snake mare = 18.75 4 = 4.6875 4 = 1.171875 4 = 0.29296875
Total CIC for Heneage's Jigg mare = 14.3402099609375


HUNT'S JIGG
(7.03125)
BOLTON GOLIAH
(30.499267578125)
FOX CLUMSEY GREY HAUTBOY *  
 
Darcy's Pet Mare **  
 
Bay Peg    
 
Yellow Bald Peg SPANKER ***
 
Champion mare      
 
   
 
Blue Cap mare    
 
Grey Hautboy mare GREY HAUTBOY *
 
Heneage's Jigg mare
(14.3402099609375)
HENEAGE'S JIGG SON OF JIGG    
 
Grey Wilkes GREY HAUTBOY *
Darcy's Pet Mare **
     
 
   
 
Brother to Snake mare BROTHER TO SNAKE    
 
Charming Jenny SPANKER ***
 
     
 
   
 

HUNT'S JIGG inbred to GREY HAUTBOY (4 x 5) x 5 = 3.125
HUNT'S JIGG inbred to Darcy's Pet Mare 4 x 5 = 2.34375
HUNT'S JIGG inbred to SPANKER 5 x 5 = 1.5625
Total SIC for HUNT'S JIGG = 7.03125
BOLTON GOLIAH = 30.499267578125 4 = 7.62481689453125
Heneage's Jigg mare = 14.3402099609375 4 = 3.585052490234375
Total CIC for HUNT'S JIGG = 18.241119384765625


JIGG-OF-JIGGS
(28.125)
HUNT'S JIGG
(18.241119384765625)
BOLTON GOLIAH FOX CLUMSEY GREY HAUTBOY **
Darcy's Pet Mare ***
   
 
     
 
   
 
Heneage's Jigg mare *      
 
   
 
Brother to Snake mare BROTHER TO SNAKE LISTER'S TURK ****
Charming Jenny *****
   
 
Heneage's Jigg mare *
(14.3402099609375)
HENEAGE'S JIGG SON OF JIGG PELHAM'S JIGG BYERLEY'S TURK ****
Charming Jenny *****
Grey Wilkes GREY HAUTBOY **
Darcy's Pet Mare ***
     
 
   
 
Brother to Snake mare BROTHER TO SNAKE LISTER'S TURK ****  
 
Charming Jenny *****  
 
     
 
   
 

JIGG-OF-JIGGS inbred to Heneage's Jigg mare 2 x 1 = 18.75
JIGG-OF-JIGGS inbred to BYERLEY'S TURK=LISTER'S TURK 5 x (5 x 4) = 3.125
JIGG-OF-JIGGS inbred to Charming Jenny 5 x (5 x 4) = 3.125
JIGG-OF-JIGGS inbred to Darcy's Pet Mare 5 x 5 = 1.5625
JIGG-OF-JIGGS inbred to GREY HAUTBOY 5 x 5 = 1.5625
Total SIC for JIGG-OF-JIGGS = 28.125
HUNT'S JIGG = 18.241119384765625 4 = 4.56027984619140625
Heneage's Jigg mare = 14.3402099609375 4 = 3.585052490234375
Total CIC for JIGG-OF-JIGGS = 36.27033233642578125


HARDIMAN'S COEFFICIENT OF INBREEDING CALCULATED TO TWO DECIMAL PLACES

 

1. Compile a five generation pedigree and calculate the Standard Inbreeding Coefficient to two decimal places.

2. Add the Cumulative Inbreeding Coefficients of the sire and dam together and divide by four.

3. Add this figure to the Standard Inbreeding Coefficient and round to two decimal places.

Using this method and beginning with the earliest inbred ancestor, the cumulative inbreeding coefficient for Jigg-of-Jiggs is calculated as follows:

 

Brimmer mare
Total SIC = 9.38
Total CIC = 9.38

MAKELESS
Total SIC = 12.50
Total CIC = 12.50

Makeless mare (Makeless oo Brimmer mare)
Total SIC = 15.63
Total CIC = 12.50 + 9.38 = 21.88 4 = 5.47 + 15.63 = 21.10

HAUTBOY
Total SIC = 9.38
Total CIC = 9.38

Charming Jenny
Total SIC = 18.75
Total CIC = 18.75

Darcy's Pet Mare
Total SIC = 9.38
Total CIC = 9.38

GREY HAUTBOY (by Hautboy)
Total SIC = 0
Total CIC = 9.38 + 0 = 9.38 4 = 2.345 + 0 = 2.345 = 2.35

Grey Wilkes (Grey Hautboy oo Darcy's Pet Mare)
Total SIC = 25.78
Total CIC = 2.35 + 9.38 = 11.73 4 = 2.9325 + 25.78 = 28.7125 = 28.71

Grey Hautboy mare (Grey Hautboy oo Makeless mare)
Total SIC = 14.84
Total CIC = 2.35 + 21.10 = 23.45 4 = 5.8625 + 14.84 = 20.7025 = 20.70

Hautboy mare (Hautboy oo Brimmer mare)
Total SIC = 23.44
Total CIC = 9.38 + 9.38 = 18.76 4 = 4.69 + 23.44 = 28.13

Yellow Bald Peg
Total SIC = 18.75
Total CIC = 18.75

PELHAM'S JIGG (oo Charming Jenny)
Total SIC = 0
Total CIC = 0 + 18.75 = 18.75 4 = 4.6875 + 0 = 4.6875 = 4.69

SON OF JIGG (Pelham's Jigg oo Grey Wilkes)
Total SIC = 16.41
Total CIC = 4.69 + 28.71= 33.40 4 = 8.35 + 16.41 = 24.76

BLUE CAP (oo Hautboy mare)
Total SIC = 0
Total CIC = 0 + 28.13 = 28.13 4 = 7.0325 + 0 = 7.0325 = 7.03

Blue Cap mare (Blue Cap oo Grey Hautboy mare)
Total SIC = 21.88
Total CIC = 7.03 + 20.70 = 27.73 4 = 6.9325 + 21.88 = 28.8125 = 28.81

CLUMSEY (Grey Hautboy oo Darcy's Pet Mare)
Total SIC = 25.78
Total CIC = 2.35 + 9.38 = 11.73 4 = 2.9325 + 25.78 = 28.7125 = 28.71

CHAMPION (oo Hautboy mare)
Total SIC = 0
Total CIC = 0 + 28.13 = 28.13 4 = 7.0325 + 0 = 7.0325 = 7.03

Champion mare (Champion oo Blue Cap mare)
Total SIC = 25.78
Total CIC = 7.03 + 28.81 = 35.84 4 = 8.96 + 25.78 = 34.74

Bay Peg (oo Yellow Bald Peg)
Total SIC = 0
Total CIC = 0 + 18.75 = 18.75 4 = 4.6875 + 0 = 4.6875 = 4.69

FOX (Clumsey oo Bay Peg)
Total SIC = 16.41
Total CIC = 28.71 + 4.69 = 33.40 4 = 8.35 + 16.41 = 24.76

BOLTON GOLIAH (Fox oo Champion mare)
Total SIC = 15.63
Total CIC = 24.76 + 34.74 = 59.50 4 = 14.875 + 15.63 = 30.505
= 30.51

HENEAGE'S JIGG (by Son of Jigg)
Total SIC = 0
Total CIC = 24.76 + 0 = 24.76 4 = 6.19 + 0 = 6.19

BROTHER TO SNAKE (oo Charming Jenny)
Total SIC = 0
Total CIC = 0 + 18.75 = 18.75 4 = 4.6875 + 0 = 4.6875 = 4.69

Brother to Snake mare (by Brother to Snake)
Total SIC = 0
Total CIC = 4.69 + 0 = 4.69 4 = 1.1725 + 0 = 1.1725 = 1.17

Heneage's Jigg mare (Heneage's Jigg oo Brother to Snake mare)
Total SIC = 12.50
Total CIC = 6.19 + 1.17 = 7.36 4 = 1.84 + 12.50 = 14.34

HUNT'S JIGG (Bolton Goliah oo Heneage's Jigg mare)
Total SIC = 7.03
Total CIC = 30.51 + 14.34 = 44.85 4 = 11.2125 + 7.03 = 18.2425 = 18.24

JIGG-OF-JIGGS (Hunt's Jigg oo Heneage's Jigg mare)
Total SIC = 28.13
Total CIC = 18.24 + 14.34 = 32.58 4 = 8.145 + 28.13 = 36.275 = 36.28

 

The difference between 36.28 and 36.27033233642578125 of less than 0.01 is negligible.


MORE ADDITIONAL ANCESTORS FOR JIGG-OF-JIGGS

New information has come to light which suggests a probable pedigree for the Blue Cap mare, grandam of the Bolton Goliah. The links between the Piersons, the Stricklands and the Dukes of Bolton are multiplied plus the level of inbreeding is maintained.
See MERLIN, SMILING TOM, HIGHLANDER AND WOODCOCK for more information.

See BLACK-A-TOP, OLD MONTAGUE MARE, PULLEINE'S CHESNUT ARABIAN AND WHITESHIRT MARE for a probable pedigree for the Harpham Arabian.

This new information has been added to the pedigree of Jigg-of-Jiggs and the Coefficient of Inbreeding recalculated.


THE COMPLETE PEDIGREE OF JIGG-OF-JIGGS
(including the pedigrees of the Blue Cap mare and the Harpham Arabian)

 

                                                 FAIRFAX'S MOROCCO BARB          =          Old Bald Peg
                                                    [HELMSLEY TURK]              |
                                                          |                      |
                     -----------------------------------> | <--------------------------------------------------------------------------------------------------------------------
                     |                                    |                                                                                                                     |
              Leedes Bald Peg                             |                        Lawson's Barb Mare     =             DARCY'S YELLOW TURK                        =     Old Morocco Mare
              [Young Bald Peg]                            |                        [Dodsworth's dam]      |                 [DODSWORTH]                            |            |
                     |                                    |                        [Merlin's grandam]     |            [MERLIN'S GRANDSIRE]                        |            |
                     |                                    |                                               |                      |                                 |            |
                     |                                    |                                               |                      |                                 |            |
                 -----                                    |                             -------------------                 ---------------                        |            |
                 |                                        |                             |                 |                 |             |                        |            |
                 |                                DARCY'S WHITE TURK       =   Pierson's Bay mare        mare  =   OGLETHORPE'S ARABIAN   |   Barb Mare            |            |
                 |                                [DARCY'S DIAMOND]        |                                   | [ALBEMARLE GREY ARABIAN] |       |                |            |
                 |                              [PLACE'S WHITE TURK]       |                                   |                          |       |                |            |
                 |                              [BURNET'S WHITE BARB]      ----------------------------------> | <------------            |       |                |            |
                 |                         [PLACE'S WHITE TRUGUNWELL TURK]                                     |             |            |       |                |            |
                 |                                        | 1668                                               |             |            |       |                |            |
                 |                     -----------------> | <---------------------------------------------------             |            |       |                |            |
                 |                     |                  |                                                                  |            |       |                |            |
                 |                     |                  |                 -----------------------------------------------> | <--------> | <---> | <---------------            |
                 |                     |                  |                 |                                                |             \     /                 |            |
                 |                     |                  |           Darcy's Grey Royal                                    mare     =     BRIMMER              SPANKER         |
                 |                     |                  |         [Lonsdale Arabian Mare]                                          |                             |            |
                 |                     |                  |                 |                                                        |                             |            |
                 |                     |                  ------------    ---                                                        |                             |            |
                 |                     |                              \  /                                                           |                             |            |
                 |       ------------> | <---------------------------> | <---------------------------------------------------------> | <----------------------------            |
                 |       |             |                               |                                                             |                             |            |
                 |       |             |            -----------------> | <------------------------------------------------------------                             |            |
                 |       |             |            |                  |                                                                                           |            |
                 |       |             |            |                  ------------------------------------                                                        ---        --- 
                  \     /              |            |                  |                                  |                                                           \      /
              Yellow Bald Peg       MAKELESS   =   mare  =          HAUTBOY         Arlington Barb Mare   |     Brisk's dam    =      BYERLEY'S TURK       =      Charming Jenny
               [Chesnut Peg]                   |         |         [ROCKWOOD]                |            |                    |      [LISTER'S TURK]      |
                    |                          |         |  [PULLEINE'S WHITE TURK]          |            |                    |    [RUTLAND BLACKLEGS]    |
                    |                          |         |  [PULLEINE'S OLD ARABIAN]         |            |                    |             |  1678       |
                    |                          |         |             |                     |            |                    |             |             |
                    |                  ------> | <--------             |      ----------------         ----                    |             |             ----------------------
                    |                  |       |                        \    /                         |                       |             |             |                    |
                 Bay Peg              mare    mare         =        GREY HAUTBOY        =       Darcy's Pet Mare          ACASTER TURK      mare     PELHAM'S JIGG      BROTHER TO SNAKE
                by Leedes              |                   |     [LAYTON GREY BARB]     |       [Old Grey Royal]          [CONEYSKINS]       |      [LISTER'S SNAKE]            |
                 Arabian               |                   |                            |    [Tregonwell Barb mare]            |             |             |                    |
                    |                  |                   |                            |  [Darcy's Oldest Royal Mare]         |             |             |                    |
                    |                  |         -----------                            |         [Clubfoot]                   |             |             |                    |
                    |                  |         |                                      |                                      |             |             |                    |
                    |       ---------> | <-----> | <----------------------------------> | <----------------------------------> | <------------             |                    |
                    |       |          |         |                                      |                                      |                           |                    |
                    |       |          |         |                                      |                                      |                           |                    |
                    |       |          --------> | <-------------   ------------------> | <-------------------------------------                           |                    |
                    |       |          |         |               \ /                    |                                                                  |                    |
                    ------> | <------> | <-----> | <------------> | <--------------     --------------------------------------------------------           |                    |
                            |          |         |                |               |     |                                                      |           |                    |
                            |          |         |                |               |     |                                                      |           |                    |
                     HARPHAM ARABIAN   |        mare     =     BLUE CAP           |  CLUMSEY                     CURWEN'S BAY BARB        Grey Wilkes      |                   mare
                      by Pulleine's    |                 |     [TERROR]           |     |                                |                [Old Wilkes]     |                    |
                     Chesnut Arabian   |                 |                        |     |                                |                     |           |                    |
                            |          |                 |                        |     |                                |                     |           |                    |
                            |          |                 |                        |     |                                |                     |           |                    |
                             \        /                  |                         \   /                                 |                      \          /                    |
                              CHAMPION                  mare                        FOX                                 mare        =           SON OF JIGG                     |
                                  | 1707                 |                           | 1714                                         |      [SMITH'S SON OF SNAKE]               |
                                  |                      |                           |                                              |                                           |
                                  ----------    ----------                           |                                              |                                           |
                                            \  /                                     |                                              |                                           |
                                            mare                                     |                                       HENEAGE'S JIGG                                     |
                                             |                                       |                                              |                                           |
                                             ------------------       ----------------                                              --------------------     --------------------
                                                               \     /                                                                                   \  /
                                                           BOLTON GOLIAH                           =                                                     mare
                                                                   1730                            |                                                      |
                                                                                                   |                                                      |
                                                                                                   |                                                      |
                                                                                              HUNT'S JIGG                                                 |
                                                                                                   | 1741                                                 |
                                                                                                   ----------------------             ---------------------
                                                                                                                         \           /
                                                                                                                         JIGG-OF-JIGGS
                                                                                                                                 1745

The inbreeding coefficient for Jigg-of-Jiggs is calculated as follows:

0 1 2 3 4 5
JIGG-OF-JIGGS
28.125
04.60910797119140625
03.585052490234375
(36.31916046142578125)
HUNT'S JIGG
01.7578125
01.9550323486328125
00.89626312255859375
(04.60910797119140625)
BOLTON GOLIAH
00.9765625
00.386810302734375
00.5916595458984375
(01.9550323486328125)
FOX
00.25634765625
00.112152099609375
00.018310546875
(00.386810302734375)
CLUMSEY
00.1007080078125
00.002288818359375
00.0091552734375
(00.112152099609375)
GREY HAUTBOY
(00.002288818359375)
Darcy's Pet Mare
(00.0091552734375 )
Bay Peg
(00.018310546875)
LEEDES ARABIAN

Yellow Bald Peg
(00.018310546875)

Champion mare
00.45166015625
00.0274658203125
00.1125335693359375
(00.5916595458984375)
CHAMPION
(00.0274658203125)
HARPHAM ARABIAN
Hautboy mare
(00.0274658203125)
Blue Cap mare
00.08544921875
00.006866455078125
00.0202178955078125
(00.1125335693359375)
BLUE CAP
(00.006866455078125)
Grey Hautboy mare
(00.0202178955078125)
Heneage's Jigg mare
00.78125
00.09670257568359375
00.018310546875
(00.89626312255859375)
HENEAGE'S JIGG
(00.09670257568359375)
SON OF JIGG
00.0640869140625
00.00457763671875
00.02803802490234375
(00.09670257568359375)
PELHAM'S JIGG
(00.00457763671875)
Grey Wilkes
(00.02803802490234375)
Curwen's Bay Barb mare
CURWEN'S BAY BARB
 
Brother to Snake mare
(00.018310546875)
BROTHER TO SNAKE
(00.018310546875)
LISTER'S TURK
Charming Jenny
(00.018310546875)
   
 
Heneage's Jigg mare
(03.585052490234375)
HENEAGE'S JIGG SON OF JIGG PELHAM'S JIGG BYERLEY'S TURK
Charming Jenny
Grey Wilkes GREY HAUTBOY
Darcy's Pet Mare
Curwen's Bay Barb mare
CURWEN'S BAY BARB  
 
   
 
Brother to Snake mare BROTHER TO SNAKE LISTER'S TURK  
 
Charming Jenny SPANKER
Old Morocco Mare
     
 
   
 
0 1 2 3 4 5

Details of each specific inbreeding:

JIGG-OF-JIGGS inbred to Heneage's Jigg mare 2 x 1 = 18.75
JIGG-OF-JIGGS inbred to BYERLEY'S TURK=LISTER'S TURK 5 x (5 x 4) = 3.125
JIGG-OF-JIGGS inbred to Charming Jenny 5 x (5 x 4) = 3.125
JIGG-OF-JIGGS inbred to Darcy's Pet Mare 5 x 5 = 1.5625
JIGG-OF-JIGGS inbred to GREY HAUTBOY 5 x 5 = 1.5625
Total SIC for JIGG-OF-JIGGS = 28.125

HUNT'S JIGG inbred to GREY HAUTBOY (4 x 5) x 5 = 3.125
HUNT'S JIGG inbred to Darcy's Pet Mare 4 x 5 = 2.34375
HUNT'S JIGG inbred to SPANKER 5 x 5 = 1.5625
Total SIC for HUNT'S JIGG = 7.03125

BOLTON GOLIAH inbred to GREY HAUTBOY 3 x 4 = 4.6875
BOLTON GOLIAH inbred to HAUTBOY 4 x (4 x 5 x 5) = 4.6875
BOLTON GOLIAH inbred to Darcy's Grey Royal=Lonsdale Arabian Mare (5 x 4) x 5 = 3.125
BOLTON GOLIAH inbred to DARCY'S WHITE TURK (5 x 4) x 5 = 3.125
Total SIC for BOLTON GOLIAH = 15.625

Heneage's Jigg mare inbred to BYERLEY'S TURK=LISTER'S TURK 4 x 3 = 4.6875
Heneage's Jigg mare inbred to Charming Jenny 4 x 3 = 4.6875
Heneage's Jigg mare inbred to Old Morocco Mare 5 x (5 x 4) = 3.125
Total SIC for Heneage's Jigg mare = 12.5

FOX inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (5 x 4 x 5) x (5 x 4) = 5.46875
FOX inbred to DARCY'S YELLOW TURK (5 x 4) x 4 = 3.90625
FOX inbred to Old Morocco Mare (5 x 4) x 4 = 3.90625
FOX inbred to Old Bald Peg 5 x (5 x 4) = 3.125
Total SIC for FOX = 16.40625

Champion mare inbred to Hautboy mare 2 x 3 = 9.375
Champion mare inbred to Brimmer mare 3 x (4 x 4) = 6.25
Champion mare inbred to HAUTBOY 3 x (4 x 4) = 6.25
Champion mare inbred to DARCY'S DIAMOND=DARCY'S WHITE TURK (4 x 5) x (5 x 5) = 3.90625
Champion mare inbred to BYERLEY'S TURK 4 x 4 = 3.125
Total SIC for Champion mare = 28.90625

CLUMSEY inbred to Darcy's Grey Royal=Lonsdale Arabian Mare 3 x 2 = 9.375
CLUMSEY inbred to DARCY'S WHITE TURK 3 x 2 = 9.375
CLUMSEY inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (4 x 5) x (3 x 4) = 7.03125
Total SIC for CLUMSEY = 25.78125

Blue Cap mare inbred to Brimmer mare 3 x 3 = 6.25
Blue Cap mare inbred to HAUTBOY 3 x 3 = 6.25
Blue Cap mare inbred to DARCY'S DIAMOND=DARCY'S WHITE TURK (4 x 5) x (4 x 5) = 4.6875
Blue Cap mare inbred to DARCY'S YELLOW TURK (5 x 5) x (5 x 5 x 5 x 5) = 4.6875
Total SIC for Blue Cap mare = 21.875

SON OF JIGG inbred to Old Morocco Mare (4 x 3) x (5 x 4) = 7.03125
SON OF JIGG inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (5 x 4) x (5 x 4 x 5) = 5.46875
SON OF JIGG inbred to DARCY'S YELLOW TURK 4 x (5 x 4) = 3.90625
Total SIC for SON OF JIGG = 16.40625

Yellow Bald Peg inbred to FAIRFAX'S MOROCCO BARB 3 x 2 = 9.375
Yellow Bald Peg inbred to Old Bald Peg 3 x 2 = 9.375
Total SIC for Yellow Bald Peg = 18.75

Hautboy mare inbred to DARCY'S DIAMOND=DARCY'S WHITE TURK 2 x 3 = 9.375
Hautboy mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE 3 x (3 x 4) = 7.8125
Hautboy mare inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (3 x 4) x 4 = 6.25
Total SIC for Hautboy mare = 23.4375

Grey Hautboy mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE 4 x (4 x 4 x 4 x 5) = 7.03125
Grey Hautboy mare inbred to DARCY'S DIAMOND=DARCY'S WHITE TURK 3 x 4 = 4.6875
Grey Hautboy mare inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (4 x 5) x 5 = 3.125
Total SIC for Grey Hautboy mare = 14.84375

Grey Wilkes inbred to Darcy's Grey Royal=Lonsdale Arabian Mare 3 x 2 = 9.375
Grey Wilkes inbred to DARCY'S WHITE TURK 3 x 2 = 9.375
Grey Wilkes inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (4 x 5) x (3 x 4) = 7.03125
Total SIC for Grey Wilkes = 25.78125

Darcy's Pet Mare inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK 2 x 3 = 9.375
Total SIC for Darcy's Pet Mare = 9.375

Charming Jenny inbred to Old Morocco Mare 2 x 1 = 18.75
Total SIC for Charming Jenny = 18.75

HAUTBOY inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK 2 x 3 = 9.375
Total SIC for HAUTBOY = 9.375

Makeless mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE (3 x 3) x (3 x 4) = 10.9375
Makeless mare inbred to Lawson's Barb Mare 3 x 4 = 4.6875
Total SIC for Makeless mare = 15.625

MAKELESS inbred to DARCY'S YELLOW TURK 2 x 2 = 12.5
Total SIC for MAKELESS = 12.5

Brimmer mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE 2 x 3 = 9.375
Total SIC for Brimmer mare = 9.375

 

METHOD ONE
Working forwards through the pedigree

7 HAUTBOY = modified SIC of
00.00057220458984375
7 Brimmer mare = modified SIC of
00.00057220458984375
7 MAKELESS = modified SIC of
00.000762939453125
6 Hautboy mare = modified SIC of
00.0057220458984375 + modified SIC for HAUTBOY in generation 7 of
00.00057220458984375 + modified SIC for Brimmer mare in generation 7 of
00.00057220458984375 =
00.006866455078125
6 Makeless mare = modified SIC of
00.003814697265625 + modified SIC for MAKELESS in generation 7 of
00.000762939453125 + modified SIC for Brimmer mare in generation 7 of
00.00057220458984375 =
00.00514984130859375
6 Charming Jenny = modified SIC of
00.00457763671875
6 Darcy's Pet Mare = modified SIC of
00.002288818359375
5 Yellow Bald Peg = modified SIC of
00.018310546875
5 Grey Hautboy mare = modified SIC of
00.014495849609375 + modified SIC for HAUTBOY in generation 7 of
00.00057220458984375 + modified CIC for Makeless mare in generation 6 of
00.00514984130859375 =
00.0202178955078125
5 Grey Wilkes = modified SIC of
00.025177001953125 + modified SIC for HAUTBOY in generation 7 of
00.00057220458984375 + modified SIC for Darcy's Pet Mare in generation 6 of
00.002288818359375 =
00.02803802490234375
4 CLUMSEY = modified SIC of
00.1007080078125 + 4 x modified SIC for HAUTBOY in generation 7 =
00.002288818359375 + 4 x modified SIC for Darcy's Pet Mare in generation 6 =
00.0091552734375 =
00.112152099609375
4

Blue Cap mare = modified SIC of
00.08544921875 + modified CIC for Hautboy mare in generation 6 of
00.006866455078125 + modified SIC for Grey Hautboy mare in generation 5 of
00.0202178955078125 =
00.1125335693359375

4 SON OF JIGG = modified SIC of
00.0640869140625 + modified SIC for Charming Jenny in generation 6 of
00.00457763671875 + modified CIC for Grey Wilkes in generation 5 of
00.02803802490234375 =
00.09670257568359375
3 FOX = modified SIC of
00.25634765625 + modified CIC for CLUMSEY in generation 4 of
00.112152099609375 + modified SIC for Yellow Bald Peg in generation 5 of
00.018310546875 =
00.386810302734375
3 Champion mare = modified SIC of
00.45166015625 + 4 x modified CIC for Hautboy mare in generation 6 =
00.0274658203125 + modified CIC for Blue Cap mare in generation 4 of
00.1125335693359375 =
00.5916595458984375
2 BOLTON GOLIAH = modified SIC of
00.9765625 + modified CIC for FOX in generation 3 of
00.386810302734375 + modified CIC for Champion mare in generation 3 of
00.5916595458984375 =
01.9550323486328125
2 Heneage's Jigg mare = modified SIC of
00.78125 + modified CIC for SON OF JIGG in generation 4 of
00.09670257568359375 + 4 x the modified SIC for Charming Jenny in generation 6 =
00.018310546875 =
00.89626312255859375
1 HUNT'S JIGG = modified SIC of
01.7578125 + modified CIC for BOLTON GOLIAH in generation 2 of
01.9550323486328125 + modified CIC for Heneage's Jigg mare in generation 2 of
00.89626312255859375 =
04.60910797119140625
1 Heneage's Jigg mare = 4 x the modified CIC in generation 2 =
03.585052490234375
0 JIGG-OF-JIGGS = SIC of
28.125 + modified CIC for HUNT'S JIGG in generation 1 of
04.60910797119140625 + modified CIC for Heneage's Jigg mare in generation 1 of
03.585052490234375 =
36.31916046142578125

 

METHOD TWO
Working backwards through the pedigree

  Inbred Horse SIC   Modified SIC
0 JIGG-OF-JIGGS 28.125   28.125
1 HUNT'S JIGG 7.03125 4 01.7578125
1 Heneage's Jigg mare 12.5 4 03.125
2 BOLTON GOLIAH 15.625 16 00.9765625
2 Heneage's Jigg mare 12.5 16 00.78125
3 FOX 16.40625 64 00.25634765625
3 Champion mare 28.90625 64 00.45166015625
3 SON OF JIGG 16.40625 64 00.25634765625
4 CLUMSEY 25.78125 256 00.1007080078125
4 Blue Cap mare 21.875 256 00.08544921875
4 SON OF JIGG 16.40625 256 00.0640869140625
4 Grey Wilkes 25.78125 256 00.1007080078125
4 Charming Jenny 18.75 256 00.0732421875
5 Darcy's Pet Mare 9.375 1024 00.0091552734375
5 Yellow Bald Peg 18.75 1024 00.018310546875
5 Hautboy mare 23.4375 1024 00.02288818359375
5 Grey Hautboy mare 14.84375 1024 00.014495849609375
5 Grey Wilkes 25.78125 1024 00.025177001953125
5 Charming Jenny 18.75 1024 00.018310546875
5 Charming Jenny 18.75 1024 00.018310546875
5 Darcy's Pet Mare 9.375 1024 00.0091552734375
6 HAUTBOY 9.375 4096 00.002288818359375
6 HAUTBOY 9.375 4096 00.002288818359375
6 Brimmer mare 9.375 4096 00.002288818359375
6 Hautboy mare 23.4375 4096 00.0057220458984375
6 Makeless mare 15.625 4096 00.003814697265625
6 Charming Jenny 18.75 4096 00.00457763671875
6 Darcy's Pet Mare 9.375 4096 00.002288818359375
6 HAUTBOY 9.375 4096 00.002288818359375
7 HAUTBOY 9.375 16384 00.00057220458984375
7 Brimmer mare 9.375 16384 00.00057220458984375
7 HAUTBOY 9.375 16384 00.00057220458984375
7 MAKELESS 12.5 16384 00.000762939453125
7 Brimmer mare 9.375 16384 00.00057220458984375
7 HAUTBOY 9.375 16384 00.00057220458984375
CIC for JIGG-OF-JIGGS 36.31916046142578125

 

METHOD THREE
Register of Inbreeding Coefficients

The figure of 36.31916046142578125, arrived at by both Method One and Method Two above, is the cumulative inbreeding coefficent for Jigg-of-Jiggs and includes all the inbreeding in his pedigree back as far as records allow. The standard inbreeding coefficient for Jigg-of-Jiggs of 28.125 is only four fifths of this total, so it is clear that the inbreeding carried forward from previous generations is still valid but the methods of calculation are cumbersome and time consuming.

It is proposed that a Register of Inbreeding Coefficients of all stallions and mares be compiled, so that any Thoroughbred's cumulative inbreeding coefficient may be found by first calculating the standard inbreeding coefficient and adding to it one quarter the value of each of the parents cumulative inbreeding coefficients as taken from the register.

Using this method and beginning with the earliest inbred ancestor, the cumulative inbreeding coefficient for Jigg-of-Jiggs is calculated as follows:

HAUTBOY
(9.375)
DARCY'S WHITE TURK
(0)
HELMSLEY TURK *      
 
   
 
     
 
   
 
       
 
   
 
     
 
   
 
Lonsdale Arabian Mare
(0)
       
 
   
 
     
 
   
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB *    
 
   
 
     
 
   
 

HAUTBOY inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK 2 x 3 = 9.375
Total SIC and CIC for HAUTBOY = 9.375


Brimmer mare
(9.375)
BRIMMER
(0)
DARCY'S YELLOW TURK *      
 
   
 
     
 
   
 
       
 
   
 
     
 
   
 
Darcy's Diamond mare
(0)
       
 
   
 
     
 
   
 
Pierson's Bay Mare MERLIN'S GRANDSIRE *    
 
   
 
     
 
   
 

Brimmer mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE 2 x 3 = 9.375
Total SIC and CIC for Brimmer mare = 9.375


MAKELESS
(12.5)
OGLETHORPE'S ARABIAN
(0)
DARCY'S YELLOW TURK *      
 
   
 
     
 
   
 
       
 
   
 
     
 
   
 
Darcy's Yellow Turk mare
(0)
DARCY'S YELLOW TURK *      
 
   
 
     
 
   
 
       
 
   
 
     
 
   
 

MAKELESS inbred to DARCY'S YELLOW TURK 2 x 2 = 12.5
Total SIC and CIC for MAKELESS = 12.5


Hautboy mare
(23.4375)

HAUTBOY
(9.375)

DARCY'S WHITE TURK * HELMSLEY TURK **    
 
   
 
     
 
   
 
Lonsdale Arabian Mare DARCY'S YELLOW
TURK ***
   
 
   
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB **  
 
   
 
Brimmer mare
(9.375)
BRIMMER DARCY'S YELLOW
TURK ***
   
 
   
 
     
 
   
 
Darcy's Diamond mare DARCY'S DIAMOND * HELMSLEY TURK **  
 
   
 
Pierson's Bay Mare MERLIN'S GRANDSIRE***  
 
   
 

Hautboy mare inbred to DARCY'S DIAMOND=DARCY'S WHITE TURK 2 x 3 = 9.375
Hautboy mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE 3 x (3 x 4) = 7.8125
Hautboy mare inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (3 x 4) x 4 = 6.25
Total SIC for Hautboy mare = 23.4375
HAUTBOY = 9.375 4 = 2.34375
Brimmer mare = 9.375 4 = 2.34375
Total CIC for Hautboy mare = 28.125


Makeless mare
(15.625)
MAKELESS
(12.5)
OGLETHORPE'S ARABIAN DARCY'S YELLOW TURK *    
 
   
 
     
 
   
 
Darcy's Yellow Turk mare DARCY'S YELLOW TURK *    
 
   
 
Lawson's Barb Mare **    
 
   
 
Brimmer mare
(9.375)
BRIMMER DARCY'S YELLOW TURK *    
 
   
 
     
 
   
 
Darcy's Diamond mare      
 
   
 
Pierson's Bay Mare MERLIN'S GRANDSIRE *  
 
Lawson's Barb Mare **  
 

Makeless mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE (3 x 3) x (3 x 4) = 10.9375
Makeless mare inbred to Lawson's Barb Mare 3 x 4 = 4.6875
Total SIC for Makeless mare = 15.625
MAKELESS = 12.5 4 = 3.125
Brimmer
mare = 9.375 4 = 2.34375
Total CIC for Makeless mare = 21.09375


Charming Jenny
(18.75)
SPANKER
(0)
       
 
   
 
     
 
   
 
Old Morocco Mare *      
 
   
 
     
 
   
 
Old Morocco Mare *
(0)
       
 
   
 
     
 
   
 
       
 
   
 
     
 
   
 

Charming Jenny inbred to Old Morocco Mare 2 x 1 = 18.75
Total SIC and CIC for Charming Jenny = 18.75


Darcy's Pet Mare
(9.375)
DARCY'S WHITE TURK
(0)
HELMSLEY TURK *      
 
   
 
     
 
   
 
       
 
   
 
     
 
   
 
Darcy's Grey Royal
(0)
       
 
   
 
     
 
   
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB *    
 
   
 
     
 
   
 

Darcy's Pet Mare inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK 2 x 3 = 9.375
Total SIC and CIC for Darcy's Pet Mare = 9.375


Yellow Bald Peg
(18.75)
SPANKER
(0)
       
 
   
 
     
 
   
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB *    
 
   
 
Old Bald Peg **    
 
   
 
Leedes Bald Peg
(0)
FAIRFAX'S MOROCCO BARB *      
 
   
 
     
 
   
 
Old Bald Peg **      
 
   
 
     
 
   
 

Yellow Bald Peg inbred to FAIRFAX'S MOROCCO BARB 3 x 2 = 9.375
Yellow Bald Peg inbred to Old Bald Peg 3 x 2 = 9.375
Total SIC and CIC for Yellow Bald Peg = 18.75


Grey Hautboy mare
(14.84375)
GREY HAUTBOY
(2.34375)
HAUTBOY
(9.375)
DARCY'S WHITE TURK * HELMSLEY TURK ***  
 
   
 
Lonsdale Arabian Mare DARCY'S YELLOW TURK **  
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB ***
 
       
 
   
 
     
 
   
 
Makeless mare
(21.09375)
MAKELESS OGLETHORPE'S ARABIAN DARCY'S YELLOW TURK **  
 
   
 
Darcy's Yellow Turk mare DARCY'S YELLOW TURK **  
 
   
 
Brimmer mare BRIMMER DARCY'S YELLOW TURK **  
 
   
 
Darcy's Diamond mare DARCY'S DIAMOND * HELMSLEY TURK ***
 
Pierson's Bay Mare MERLIN'S GRANDSIRE **
 

Grey Hautboy mare inbred to DARCY'S YELLOW TURK=MERLIN'S GRANDSIRE 4 x (4 x 4 x 4 x 5) = 7.03125
Grey Hautboy mare inbred to DARCY'S DIAMOND=DARCY'S WHITE TURK 3 x 4 = 4.6875
Grey Hautboy mare inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (4 x 5) x 5 = 3.125
Total SIC for Grey Hautboy mare = 14.84375
GREY HAUTBOY = 2.34375 4 = 0.5859375
Makeless mare = 21.09375 4 = 5.2734375
Total CIC for Grey Hautboy mare = 20.703125


Grey Wilkes
(25.78125)
GREY HAUTBOY
(2.34375)
HAUTBOY
(9.375)
DARCY'S WHITE TURK * HELMSLEY TURK ***  
 
   
 
Lonsdale Arabian Mare **    
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB ***
 
       
 
   
 
     
 
   
 
Darcy's Pet Mare
(9.375)
DARCY'S WHITE TURK * HELMSLEY TURK ***    
 
   
 
     
 
   
 
Darcy's Grey Royal **      
 
   
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB ***  
 
   
 

Grey Wilkes inbred to Darcy's Grey Royal=Lonsdale Arabian Mare 3 x 2 = 9.375
Grey Wilkes inbred to DARCY'S WHITE TURK 3 x 2 = 9.375
Grey Wilkes inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (4 x 5) x (3 x 4) = 7.03125
Total SIC for Grey Wilkes = 25.78125
GREY HAUTBOY = 9.375 4 = 2.34375 4 = 0.5859375
Darcy's Pet Mare = 9.375 4 = 2.34375
Total CIC for Grey Wilkes = 28.7109375


CLUMSEY
(25.78125)
GREY HAUTBOY
(2.34375)
HAUTBOY
(9.375)
DARCY'S WHITE TURK * HELMSLEY TURK ***  
 
   
 
Lonsdale Arabian Mare **    
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB ***
 
       
 
   
 
     
 
   
 
Darcy's Pet Mare
(9.375)
DARCY'S WHITE TURK * HELMSLEY TURK ***    
 
   
 
     
 
   
 
Darcy's Grey Royal **      
 
   
 
Old Morocco Mare FAIRFAX'S MOROCCO BARB ***  
 
   
 

CLUMSEY inbred to Darcy's Grey Royal=Lonsdale Arabian Mare 3 x 2 = 9.375
CLUMSEY inbred to DARCY'S WHITE TURK 3 x 2 = 9.375
CLUMSEY inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (4 x 5) x (3 x 4) = 7.03125
Total SIC for CLUMSEY = 25.78125
GREY HAUTBOY = 9.375 4 = 2.34375 4 = 0.5859375
Darcy's Pet Mare = 9.375 4 = 2.34375
Total CIC for CLUMSEY = 28.7109375


Blue Cap mare
(20.3125)
BLUE CAP
(7.03125)
       
 
   
 
     
 
   
 
Hautboy mare
(28.125)
HAUTBOY * DARCY'S WHITE TURK ***  
 
Lonsdale Arabian Mare DARCY'S YELLOW TURK ****
 
Brimmer mare ** BRIMMER DARCY'S YELLOW TURK ****
 
Darcy's Diamond mare DARCY'S DIAMOND ***
 
Grey Hautboy mare
(20.703125)
GREY HAUTBOY HAUTBOY * DARCY'S WHITE TURK ***  
 
Lonsdale Arabian Mare DARCY'S YELLOW TURK ****
 
     
 
   
 
Makeless mare MAKELESS OGLETHORPE'S ARABIAN DARCY'S YELLOW TURK ****
 
Darcy's Yellow Turk mare DARCY'S YELLOW TURK ****
 
Brimmer mare ** BRIMMER DARCY'S YELLOW TURK ****
 
Darcy's Diamond mare DARCY'S DIAMOND ***
 

Blue Cap mare inbred to Brimmer mare 3 x 3 = 6.25
Blue Cap mare inbred to HAUTBOY 3 x 3 = 6.25
Blue Cap mare inbred to DARCY'S DIAMOND=DARCY'S WHITE TURK (4 x 5) x (4 x 5) = 4.6875
Blue Cap mare inbred to
DARCY'S YELLOW TURK (5 x 5) x (5 x 5 x 5 x 5) = 4.6875
Total SIC for Blue Cap mare = 21.875
BLUE CAP = 28.125 4 = 7.03125 4 = 1.7578125
Grey Hautboy mare = 20.703125 4 = 5.17578125
Total CIC for Blue Cap mare = 28.80859375


SON OF JIGG
(16.40625)
PELHAM'S JIGG
(4.6875)
       
 
   
 
     
 
   
 
Charming Jenny
(18.75)
SPANKER DARCY'S YELLOW
TURK **
 
 
Old Morocco Mare * FAIRFAX'S MOROCCO BARB ***
 
Old Morocco Mare * FAIRFAX'S MOROCCO BARB ***  
 
   
 
Grey Wilkes
(28.7109375)
GREY HAUTBOY HAUTBOY DARCY'S WHITE TURK HELMSLEY TURK ***
 
Lonsdale Arabian Mare DARCY'S YELLOW
TURK **
Old Morocco Mare *
     
 
   
 
Darcy's Pet Mare DARCY'S WHITE TURK HELMSLEY TURK ***  
 
   
 
Darcy's Grey Royal DARCY'S YELLOW
TURK **
 
 
Old Morocco Mare * FAIRFAX'S MOROCCO BARB ***
 

SON OF JIGG inbred to Old Morocco Mare (4 x 3) x (5 x 4) = 7.03125
SON OF JIGG inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (5 x 4) x (5 x 4 x 5) = 5.46875
SON OF JIGG inbred to DARCY'S YELLOW TURK 4 x (5 x 4) = 3.90625
Total SIC for SON OF JIGG = 16.40625
PELHAM'S JIGG = 18.75 4 = 4.6875 4 = 1.171875
Grey Wilkes =28.7109375 4 = 7.177734375
Total CIC for SON OF JIGG = 24.755859375


FOX
(16.40625)
CLUMSEY
(28.7109375)
GREY HAUTBOY HAUTBOY DARCY'S WHITE TURK HELMSLEY TURK *
 
Lonsdale Arabian Mare DARCY'S YELLOW
TURK **
Old Morocco Mare ***
     
 
   
 
Darcy's Pet Mare DARCY'S WHITE TURK HELMSLEY TURK *  
 
   
 
Darcy's Grey Royal DARCY'S YELLOW
TURK **
 
 
Old Morocco Mare *** FAIRFAX'S MOROCCO BARB *
Old Bald Peg ****
Bay Peg
(4.6875)
       
 
   
 
     
 
   
 
Yellow Bald Peg
(18.75)
SPANKER DARCY'S YELLOW
TURK **
 
 
Old Morocco Mare *** FAIRFAX'S MOROCCO BARB *
Old Bald Peg ****
Leedes Bald Peg FAIRFAX'S MOROCCO BARB *  
 
Old Bald Peg ****  
 

FOX inbred to FAIRFAX'S MOROCCO BARB=HELMSLEY TURK (5 x 4 x 5) x (5 x 4) = 5.46875
FOX inbred to DARCY'S YELLOW TURK (5 x 4) x 4 = 3.90625
FOX inbred to Old Morocco Mare (5 x 4) x 4 = 3.90625
FOX inbred to Old Bald Peg 5 x (5 x 4) = 3.125
Total SIC for FOX = 16.40625
CLUMSEY = 28.7109375 4 = 7.177734375
Bay Peg = 18.75 4 = 4.6875 4 = 1.171875
Total CIC for FOX = 24.755859375


Champion mare
(28.90625)
CHAMPION
(7.03125)
HARPHAM ARABIAN      
 
   
 
Byerley's Turk mare BYERLEY'S TURK ****  
 
   
 
Hautboy mare *
(28.125)
HAUTBOY ** DARCY'S WHITE TURK *****  
 
   
 
Brimmer mare ***    
 
Darcy's Diamond mare DARCY'S DIAMOND *****
 
Blue Cap mare
(28.80859375)

BLUE CAP ACASTER TURK BYERLEY'S TURK ****  
 
   
 
Hautboy mare * HAUTBOY ** DARCY'S WHITE TURK *****
 
Brimmer mare ***  
 
Grey Hautboy mare GREY HAUTBOY HAUTBOY ** DARCY'S WHITE TURK *****
 
   
 
Makeless mare    
 
Brimmer mare ***  
 

Champion mare inbred to Hautboy mare 2 x 3 = 9.375
Champion mare inbred to Brimmer mare 3 x (4 x 4) = 6.25
Champion mare inbred to HAUTBOY 3 x (4 x 4) = 6.25
Champion mare inbred to DARCY'S DIAMOND=DARCY'S WHITE TURK (4 x 5) x (5 x 5) = 3.90625
Champion mare inbred to BYERLEY'S TURK 4 x 4 = 3.125
Total SIC for Champion mare = 28.90625
CHAMPION = 28.125 4 = 7.03125 4 = 1.7578125
Blue Cap mare = 28.80859375 4 = 7.2021484375
Total CIC for Champion mare = 37.8662109375


BOLTON GOLIAH
(15.625)
FOX
(24.755859375)
CLUMSEY GREY HAUTBOY * HAUTBOY ** DARCY'S WHITE TURK ***
Lonsdale Arabian Mare ****
   
 
Darcy's Pet Mare DARCY'S WHITE TURK ***  
 
Darcy's Grey Royal ****  
 
       
 
   
 
     
 
   
 
Champion mare
(37.8662109375)
CHAMPION      
 
   
 
Hautboy mare HAUTBOY ** DARCY'S WHITE TURK ***
Lonsdale Arabian Mare ****
   
 
Blue Cap mare BLUE CAP    
 
Hautboy mare HAUTBOY **
 
Grey Hautboy mare GREY HAUTBOY * HAUTBOY **
 
   
 

BOLTON GOLIAH inbred to GREY HAUTBOY 3 x 4 = 4.6875
BOLTON GOLIAH inbred to HAUTBOY 4 x (4 x 5 x 5) = 4.6875
BOLTON GOLIAH inbred to Darcy's Grey Royal=Lonsdale Arabian Mare (5 x 4) x 5 = 3.125
BOLTON GOLIAH inbred to DARCY'S WHITE TURK (5 x 4) x 5 = 3.125
Total SIC for BOLTON GOLIAH = 15.625
FOX = 24.755859375 4 = 6.18896484375
Champion mare = 37.8662109375 4 = 9.466552734375
Total CIC for BOLTON GOLIAH = 31.280517578125


Heneage's Jigg mare
(12.5)
HENEAGE'S JIGG
(6.18896484375)
SON OF JIGG
(24.755859375)
PELHAM'S JIGG BYERLEY'S TURK *  
 
Charming Jenny **  
Old Morocco Mare ***
     
 
   
 
       
 
   
 
     
 
   
 
Brother to Snake mare
(1.171875)
BROTHER TO SNAKE
(4.6875)
LISTER'S TURK *    
 
   
 
Charming Jenny **
(18.75)
SPANKER  
Old Morocco Mare ***
Old Morocco Mare ***  
 
       
 
   
 
     
 
   
 

Heneage's Jigg mare inbred to BYERLEY'S TURK=LISTER'S TURK 4 x 3 = 4.6875
Heneage's Jigg mare inbred to Charming Jenny 4 x 3 = 4.6875
Heneage's Jigg mare inbred to Old Morocco Mare 5 x (5 x 4) = 3.125
Total SIC for Heneage's Jigg mare = 12.5
HENEAGE'S JIGG = 24.755859375 4 = 6.18896484375 4 = 1.5472412109375
Brother to Snake mare = 18.75 4 = 4.6875 4 = 1.171875 4 = 0.29296875
Total CIC for Heneage's Jigg mare = 14.3402099609375


HUNT'S JIGG
(7.03125)
BOLTON GOLIAH
(31.280517578125)
FOX CLUMSEY GREY HAUTBOY *  
 
Darcy's Pet Mare **  
 
Bay Peg    
 
Yellow Bald Peg SPANKER ***
 
Champion mare      
 
   
 
Blue Cap mare    
 
Grey Hautboy mare GREY HAUTBOY *
 
Heneage's Jigg mare
(14.3402099609375)
HENEAGE'S JIGG SON OF JIGG    
 
Grey Wilkes GREY HAUTBOY *
Darcy's Pet Mare **
     
 
   
 
Brother to Snake mare BROTHER TO SNAKE    
 
Charming Jenny SPANKER ***
 
     
 
   
 

HUNT'S JIGG inbred to GREY HAUTBOY (4 x 5) x 5 = 3.125
HUNT'S JIGG inbred to Darcy's Pet Mare 4 x 5 = 2.34375
HUNT'S JIGG inbred to SPANKER 5 x 5 = 1.5625
Total SIC for HUNT'S JIGG = 7.03125
BOLTON GOLIAH = 31.280517578125 4 = 7.82012939453125
Heneage's Jigg mare = 14.3402099609375 4 = 3.585052490234375
Total CIC for HUNT'S JIGG = 18.436431884765625


JIGG-OF-JIGGS
(28.125)
HUNT'S JIGG
(18.436431884765625)
BOLTON GOLIAH FOX CLUMSEY GREY HAUTBOY **
Darcy's Pet Mare ***
   
 
     
 
   
 
Heneage's Jigg mare *      
 
   
 
Brother to Snake mare BROTHER TO SNAKE LISTER'S TURK ****
Charming Jenny *****
   
 
Heneage's Jigg mare *
(14.3402099609375)
HENEAGE'S JIGG SON OF JIGG PELHAM'S JIGG BYERLEY'S TURK ****
Charming Jenny *****
Grey Wilkes GREY HAUTBOY **
Darcy's Pet Mare ***
     
 
   
 
Brother to Snake mare BROTHER TO SNAKE LISTER'S TURK ****  
 
Charming Jenny *****  
 
     
 
   
 

JIGG-OF-JIGGS inbred to Heneage's Jigg mare 2 x 1 = 18.75
JIGG-OF-JIGGS inbred to BYERLEY'S TURK=LISTER'S TURK 5 x (5 x 4) = 3.125
JIGG-OF-JIGGS inbred to Charming Jenny 5 x (5 x 4) = 3.125
JIGG-OF-JIGGS inbred to Darcy's Pet Mare 5 x 5 = 1.5625
JIGG-OF-JIGGS inbred to GREY HAUTBOY 5 x 5 = 1.5625
Total SIC for JIGG-OF-JIGGS = 28.125
HUNT'S JIGG = 18.436431884765625 4 = 4.60910797119140625
Heneage's Jigg mare = 14.3402099609375 4 = 3.585052490234375
Total CIC for JIGG-OF-JIGGS = 36.31916046142578125


HARDIMAN'S COEFFICIENT OF INBREEDING CALCULATED TO TWO DECIMAL PLACES

 

1. Compile a five generation pedigree and calculate the Standard Inbreeding Coefficient to two decimal places.

2. Add the Cumulative Inbreeding Coefficients of the sire and dam together and divide by four.

3. Add this figure to the Standard Inbreeding Coefficient and round to two decimal places.

Using this method and beginning with the earliest inbred ancestor, the cumulative inbreeding coefficient for Jigg-of-Jiggs is calculated as follows:

 

Brimmer mare
Total SIC = 9.38
Total CIC = 9.38

MAKELESS
Total SIC = 12.50
Total CIC = 12.50

Makeless mare (Makeless oo Brimmer mare)
Total SIC = 15.63
Total CIC = 12.50 + 9.38 = 21.88 4 = 5.47 + 15.63 = 21.10

HAUTBOY
Total SIC = 9.38
Total CIC = 9.38

Charming Jenny
Total SIC = 18.75
Total CIC = 18.75

Darcy's Pet Mare
Total SIC = 9.38
Total CIC = 9.38

GREY HAUTBOY (by Hautboy)
Total SIC = 0
Total CIC = 9.38 + 0 = 9.38 4 = 2.345 + 0 = 2.345 = 2.35

Grey Wilkes (Grey Hautboy oo Darcy's Pet Mare)
Total SIC = 25.78
Total CIC = 2.35 + 9.38 = 11.73 4 = 2.9325 + 25.78 = 28.7125 = 28.71

Grey Hautboy mare (Grey Hautboy oo Makeless mare)
Total SIC = 14.84
Total CIC = 2.35 + 21.10 = 23.45 4 = 5.8625 + 14.84 = 20.7025 = 20.70

Hautboy mare (Hautboy oo Brimmer mare)
Total SIC = 23.44
Total CIC = 9.38 + 9.38 = 18.76 4 = 4.69 + 23.44 = 28.13

Yellow Bald Peg
Total SIC = 18.75
Total CIC = 18.75

PELHAM'S JIGG (oo Charming Jenny)
Total SIC = 0
Total CIC = 0 + 18.75 = 18.75 4 = 4.6875 + 0 = 4.6875 = 4.69

SON OF JIGG (Pelham's Jigg oo Grey Wilkes)
Total SIC = 16.41
Total CIC = 4.69 + 28.71= 33.40 4 = 8.35 + 16.41 = 24.76

BLUE CAP (oo Hautboy mare)
Total SIC = 0
Total CIC = 0 + 28.13 = 28.13 4 = 7.0325 + 0 = 7.0325 = 7.03

Blue Cap mare (Blue Cap oo Grey Hautboy mare)
Total SIC = 21.88
Total CIC = 7.03 + 20.70 = 27.73 4 = 6.9325 + 21.88 = 28.8125 = 28.81

CLUMSEY (Grey Hautboy oo Darcy's Pet Mare)
Total SIC = 25.78
Total CIC = 2.35 + 9.38 = 11.73 4 = 2.9325 + 25.78 = 28.7125 = 28.71

CHAMPION (oo Hautboy mare)
Total SIC = 0
Total CIC = 0 + 28.13 = 28.13 4 = 7.0325 + 0 = 7.0325 = 7.03

Champion mare (Champion oo Blue Cap mare)
Total SIC = 28.91
Total CIC = 7.03 + 28.81 = 35.84 4 = 8.96 + 28.91 = 37.87

Bay Peg (oo Yellow Bald Peg)
Total SIC = 0
Total CIC = 0 + 18.75 = 18.75 4 = 4.6875 + 0 = 4.6875 = 4.69

FOX (Clumsey oo Bay Peg)
Total SIC = 16.41
Total CIC = 28.71 + 4.69 = 33.40 4 = 8.35 + 16.41 = 24.76

BOLTON GOLIAH (Fox oo Champion mare)
Total SIC = 15.63
Total CIC = 24.76 + 37.87 = 62.63 4 = 15.6575 + 15.63 = 31.2875
= 31.29

HENEAGE'S JIGG (by Son of Jigg)
Total SIC = 0
Total CIC = 24.76 + 0 = 24.76 4 = 6.19 + 0 = 6.19

BROTHER TO SNAKE (oo Charming Jenny)
Total SIC = 0
Total CIC = 0 + 18.75 = 18.75 4 = 4.6875 + 0 = 4.6875 = 4.69

Brother to Snake mare (by Brother to Snake)
Total SIC = 0
Total CIC = 4.69 + 0 = 4.69 4 = 1.1725 + 0 = 1.1725 = 1.17

Heneage's Jigg mare (Heneage's Jigg oo Brother to Snake mare)
Total SIC = 12.50
Total CIC = 6.19 + 1.17 = 7.36 4 = 1.84 + 12.50 = 14.34

HUNT'S JIGG (Bolton Goliah oo Heneage's Jigg mare)
Total SIC = 7.03
Total CIC = 31.29 + 14.34 = 45.63 4 = 11.4075 + 7.03 = 18.4375 = 18.44

JIGG-OF-JIGGS (Hunt's Jigg oo Heneage's Jigg mare)
Total SIC = 28.13
Total CIC = 18.44 + 14.34 = 32.78 4 = 8.195 + 28.13 = 36.325 = 36.33

 

The difference between 36.33 and 36.31916046142578125 of less than 0.011 is negligible.


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