Estimation of Admixture Generation

1 . A computer-implemented method, comprising:

comparing, by way of one or more processors, representations of a plurality of genetic segments of an individual to a plurality of reference ancestry models, wherein the reference ancestry models are stored in a database and are respectively associated with different ancestries;

determining, by way of the one or more processors and based on the comparison, that one or more genetic segments of the plurality of genetic segments correspond to a specific ancestry;

determining, by way of the one or more processors and for the individual, genetic ancestry summary data corresponding to the specific ancestry, wherein the genetic ancestry summary data includes at least one of: a number of the one or more genetic segments that correspond to the specific ancestry, a number of chromosomes carrying the one or more genetic segments that correspond to the specific ancestry, or lengths of each of the one or more genetic segments that correspond to the specific ancestry;

applying, by way of the one or more processors, maximum likelihood estimation to the genetic ancestry summary data as fit to a genetic recombination model, the genetic recombination model associating respective genetic characteristics to predicted numbers of generations between a subject having genetic characteristics and at least one non-admixed ancestor of the specific ancestry;

determining, by way of the one or more processors and from the maximum likelihood estimation, one or more estimated numbers of generations between the individual and a non-admixed ancestor of the individual, the non-admixed ancestor having the specific ancestry; and

providing, by way of the one or more processors and for graphical display on a user interface, the one or more estimated numbers of generations and the specific ancestry.

2 . The computer-implemented method of claim 1 , wherein the genetic ancestry summary data also includes at least one of: a list of the one or more genetic segments that correspond to the specific ancestry, a mean length of the one or more genetic segments that correspond to the specific ancestry, or a longest segment length of the one or more genetic segments that correspond to the specific ancestry.

3 . The computer-implemented method of claim 1 , wherein the genetic recombination model is generated based at least in part on a simulation of recombination events for a plurality of generations of admixing.

4 . The computer-implemented method of claim 1 , wherein the genetic recombination model is based at least in part on exponential curves representing lengths of the one or more genetic segments versus numbers of the one or more genetic segments of each of the lengths, and wherein the maximum likelihood estimation fits the genetic ancestry summary data to one or more of the exponential curves.

5 . The computer-implemented method of claim 1 , wherein the genetic recombination model is based at least in part on a mapping of generations to one or more of: a mean length of the one or more genetic segments that correspond to the specific ancestry, a longest segment length of the one or more genetic segments that correspond to the specific ancestry, the number of the one or more genetic segments that correspond to the specific ancestry, or the number of chromosomes carrying the one or more genetic segments that correspond to the specific ancestry, and wherein the maximum likelihood estimation fits the genetic ancestry summary data to the mapping.

6 . The computer-implemented method of claim 5 , wherein a search space of the mapping is reduced by eliminating impossible admixture generations prior to fitting the genetic ancestry summary data to the mapping, and wherein the impossible admixture generations are identified based on a percentage of the specific ancestry assigned to the individual.

7 . The computer-implemented method of claim 5 , wherein the maximum likelihood estimation fits the genetic ancestry summary data to the mapping based on an intersection of feasible ranges of the generations that were determined from data related to the one or more genetic segments.

8 . The computer-implemented method of claim 7 , wherein the intersection of the feasible ranges is used to determine a lower bound on the generations.

9 . The computer-implemented method of claim 1 , wherein the one or more estimated numbers of generations include a range of generations.

10 . The computer-implemented method of claim 1 , wherein the non-admixed ancestor of the individual has been determined to be a full-blooded ancestor of the specific ancestry.

11 . The computer-implemented method of claim 1 , wherein the specific ancestry is associated with a particular geographic region.

12 . A non-transitory computer-readable medium storing program instructions that, when executed by one or more processors of a computing system, cause the computing system to perform operations comprising:

comparing representations of a plurality of genetic segments of an individual to a plurality of reference ancestry models, wherein the reference ancestry models are stored in a database and are respectively associated with different ancestries;

determining, based on the comparison, that one or more genetic segments of the plurality of genetic segments correspond to a specific ancestry;

determining, for the individual, genetic ancestry summary data corresponding to the specific ancestry, wherein the genetic ancestry summary data includes at least one of: a number of the one or more genetic segments that correspond to the specific ancestry, a number of chromosomes carrying the one or more genetic segments that correspond to the specific ancestry, or lengths of each of the one or more genetic segments that correspond to the specific ancestry;

applying maximum likelihood estimation to the genetic ancestry summary data as fit to a genetic recombination model, the genetic recombination model associating respective genetic characteristics to predicted numbers of generations between a subject having genetic characteristics and at least one non-admixed ancestor of the specific ancestry;

determining, from the maximum likelihood estimation, one or more estimated numbers of generations between the individual and a non-admixed ancestor of the individual, the non-admixed ancestor having the specific ancestry; and

providing, for graphical display on a user interface, the one or more estimated numbers of generations and the specific ancestry.

13 . The non-transitory computer-readable medium of claim 12 , wherein the genetic recombination model is generated based at least in part on a simulation of recombination events for a plurality of generations of admixing.

14 . The non-transitory computer-readable medium of claim 12 , wherein the genetic recombination model is based at least in part on exponential curves representing lengths of the one or more genetic segments versus numbers of the one or more genetic segments of each of the lengths, and wherein the maximum likelihood estimation fits the genetic ancestry summary data to one or more of the exponential curves.

15 . The non-transitory computer-readable medium of claim 12 , wherein the genetic recombination model is based at least in part on a mapping of generations to one or more of: a mean length of the one or more genetic segments that correspond to the specific ancestry, a longest segment length of the one or more genetic segments that correspond to the specific ancestry, the number of the one or more genetic segments that correspond to the specific ancestry, or the number of chromosomes carrying the one or more genetic segments that correspond to the specific ancestry, and wherein the maximum likelihood estimation fits the genetic ancestry summary data to the mapping.

16 . The non-transitory computer-readable medium of claim 15 , wherein a search space of the mapping is reduced by eliminating impossible admixture generations prior to fitting the genetic ancestry summary data to the mapping, and wherein the impossible admixture generations are identified based on a percentage of the specific ancestry assigned to the individual.

17 . The non-transitory computer-readable medium of claim 15 , wherein the maximum likelihood estimation fits the genetic ancestry summary data to the mapping based on an intersection of feasible ranges of the generations that were determined from data related to the one or more genetic segments.

18 . The non-transitory computer-readable medium of claim 17 , wherein the intersection of the feasible ranges is used to determine a lower bound on the generations.

19 . The non-transitory computer-readable medium of claim 12 , wherein the one or more estimated numbers of generations include a range of generations.

20 . A computing system comprising:

a processor;

memory; and

program instructions, stored in the memory, that upon execution by the processor cause the computing system to perform operations comprising:

comparing representations of a plurality of genetic segments of an individual to a plurality of reference ancestry models, wherein the reference ancestry models are stored in a database and are respectively associated with different ancestries;

determining, based on the comparison, that one or more genetic segments of the plurality of genetic segments correspond to a specific ancestry;

determining, for the individual, genetic ancestry summary data corresponding to the specific ancestry, wherein the genetic ancestry summary data includes at least one of:

a number of the one or more genetic segments that correspond to the specific ancestry, a number of chromosomes carrying the one or more genetic segments that correspond to the specific ancestry, or lengths of each of the one or more genetic segments that correspond to the specific ancestry;

applying maximum likelihood estimation to the genetic ancestry summary data as fit to a genetic recombination model, the genetic recombination model associating respective genetic characteristics to predicted numbers of generations between a subject having genetic characteristics and at least one non-admixed ancestor of the specific ancestry;

determining, from the maximum likelihood estimation, one or more estimated numbers of generations between the individual and a non-admixed ancestor of the individual, the non-admixed ancestor having the specific ancestry; and

providing, for graphical display on a user interface, the one or more estimated numbers of generations and the specific ancestry.