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Summary • • • • • DNA evolves leading to unique sequences that may be used to identify species, biological species, provenences of strains, genotypes, genetic or allelic richness and genetic structure Mutations and recombinations drive evolution of DNA sequences. Isolation, drift, and selection lead to unique sequences associated with different species or isolated populations Isolation: allopatric vs. sympatric. In both cases there is no gene flow between species DNA sequences can be used to identify species. They need to be aligned and compared. If each species is unequivocally found within a statistically supported clade, then that sequence can be used to identify species and provenance for that group of organisms Diagnostic sequence,narrower concept need to be from a locus that is less variable within species and more variable in between species. Alternatively fixed alleles may be the most powerful. Rare alleles or private alleles are also important in defining populations (individuals that are freely mating): allele frequencies used by assignment tests such as structure Summary • Sequences used to identify species either by comparison of actual sequence or by use of taxon specific PCR primers that will only amplify target organism. Need for control. I.e. primers that will amplify any organism to make sure reaction is working. • If sequences are obtained and compared they can – Aligned with sequences of similar organisms to determine presence of statistically significant clades – Compared with sequences present in public databases such as GenBank. BLAST engine – Beware that a single locus may be deceiving, because history of locus (gene geneaology is not necessarily history of organism) Summary • If more than just species identification is needed, multiple genetic markers will be needed. These should be as much as possible unlinked. These multiple markers can be used to identify genotypes and study their distribution to understand epidemiology of a disease or perform paternity tests; determine allelic richness: this is considered an important issue in conservation biology (normally small or isolated populations tend to loose alleles); study the genetic structure of a species, I.e. Are populations genetically different (are their alleleic frequencies significantly different) and if so at what scale does the difference become significant; finally multiple genetic markers can be used to understand if species is reproducing sexually or not. This is important to understand epidemiology • Genetic information can be supported by other types of information. For fungi for instance the use of somatic compatibility and of mating allele richness can be used to make inferences on genotypic composition, and relatedness of genotypes. Mitochondrial analysis can also be used to make inferences on genetic relatedness • Recognition of self vs. non self • Intersterility genes: maintain species gene pool. Homogenic system • Mating genes: recognition of “other” to allow for recombination. Heterogenic system • Somatic compatibility: protection of the individual. Recognition of self vs. non self • It is possible to have different genotypes with the same vc alleles • VC grouping and genotyping is not the same • It allows for genotyping without genetic tests • Reasons behing VC system: protection of resources/avoidance of viral contagion Somatic incompatibility Quic kTime™ and a TIFF (Unc ompres sed) decompress or are needed to see this picture. Quic kTime™ and a TIFF (Unc ompres sed) decompress or are needed to see this picture. More on somatic compatibility • Perform calculation on power of approach • Temporary compatibility allows for cytoplasmic contact that then is interrupted: this temporary contact may be enough for viral contagion SOMATIC COMPATIBILITY • Fungi are territorial for two reasons – Selfish – Do not want to become infected • If haploids it is a benefit to mate with other, but then the n+n wants to keep all other genotypes out • Only if all alleles are the same there will be fusion of hyphae • If most alleles are the same, but not all, fusion only temporary SOMATIC COMPATIBILITY • SC can be used to identify genotypes • SC is regulated by multiple loci • Individual that are compatible (recognize one another as self, are within the same SC group) • SC group is used as a proxy for genotype, but in reality, you may have some different genotypes that by chance fall in the same SC group • Happens often among sibs, but can happen by chance too among unrelated individuals Recognition of self vs. non self • What are the chances two different individuals will have the same set of VC alleles? • Probability calculation (multiply frequency of each allele) • More powerful the larger the number of loci • …and the larger the number of alleles per locus Recognition of self vs. non self: probability of identity (PID) • 4 loci • 3 biallelelic • 1 penta-allelic • P= 0.5x0.5x0.5x0.2=0.025 • In humans 99.9%, 1000, 1 in one million INTERSTERILITY • If a species has arisen, it must have some adaptive advantages that should not be watered down by mixing with other species • Will allow mating to happen only if individuals recognized as belonging to the same species • Plus alleles at one of 5 loci (S P V1 V2 V3) INTERSTERILITY • Basis for speciation • These alleles are selected for more strongly in sympatry • You can have different species in allopatry that have not been selected for different IS alleles MATING • Two haploids need to fuse to form n+n • Sex needs to increase diversity: need different alleles for mating to occur • Selection for equal representation of many different mating alleles MATING • If one individuals is source of inoculum, then the same 2 mating alleles will be found in local population • If inoculum is of broad provenance then multiple mating alleles should be found MATING • How do you test for mating? • Place two homokaryons in same plate and check for formation of dikaryon (microscopic clamp connections at septa) Clamp connections QuickTi me™ and a TIFF ( Uncompressed) decompr essor are needed to see thi s p icture. QuickTi me™ and a T IFF (Uncom pressed) decom pressor are needed to see t his pict ure. QuickTime™ and a TIFF (U ncompressed) decompressor are needed to see t his picture. MATING ALLELES • All heterokaryons will have two mating allelels, for instance a, b • There is an advantage in having more mating alleles (easier mating, higher chances of finding a mate) • Mating allele that is rare, may be of migrant just arrived • If a parent is important source, genotypes should all be of one or two mating types Two scenarios: • A, A, B, C, D, D, E, H, I, L • A, A, A,B, B, A, A Two scenarios: • A, A, B, C, D, D, E, H, I, L • A, A, A,B, B, A, A • Multiple source of infections (at least 4 genotypes) • Siblings as source of infection (1 genotype) SEX • Ability to recombine and adapt • Definition of population and metapopulation • Different evolutionary model • Why sex? Clonal reproductive approach can be very effective among pathogens Long branches in between groups suggests no sex is occurring in between groups NJ Het INSULARE Fir-Spruce True Fir EUROPE Spruce EUROPE True Fir NAMERICA Pine Europe Pine EUROPE Pine N.Am. Pine NAMERICA 0.05 substitutions/site NJ 11.10 SISG CA Small branches within a clade indicate sexual reproduction is ongoing within that group of individuals 2.42 SISG CA BBd SISG WA F2 SISG MEX NA S BBg SISG WA 14a2y SISG CA 15a5y M6 SISG CA 6.11 SISG CA 9.4 SISG CA AWR400 SPISG CA 9b4y SISG CA 15a1x M6 PISG CA 1M PISG MEX 9b2x PISG CA A152R FISG EU A62R SISG EU A90R SISG EU 890 bp CI>0.9 EU S A93R SISG EU J113 FISG EU J14 SISG EU J27 SISG EU J29 SISG EU 0.0005 substitutions/site EU F NA P Index of association Ia= if same alleles are associated too much as opposed to random, it means sex is not occurring Association among alleles calculated and compared to simulated random distribution Evolution and Population genetics • Positively selected genes:…… • Negatively selected genes…… • Neutral genes: normally population genetics demands loci used are neutral • Loci under balancing selection….. Evolution and Population genetics • Positively selected genes:…… • Negatively selected genes…… • Neutral genes: normally population genetics demands loci used are neutral • Loci under balancing selection….. Evolutionary history • Darwininan vertical evolutionary models • Horizontal, reticulated models.. Are my haplotypes sensitive enough? • To validate power of tool used, one needs to be able to differentiate among closely related individual • Generate progeny • Make sure each meiospore has different haplotype • Calculate P RAPD combination 1 2 • 1010101010 • 1011101010 • 1010101010 • 1010111010 • 1010101010 • 1010001010 • 1010101010 • 1010000000 • 1011001010 • 1011110101 Conclusions • Only one RAPD combo is sensitive enough to differentiate 4 half-sibs (in white) • Mendelian inheritance? • By analysis of all haplotypes it is apparent that two markers are always cosegregating, one of the two should be removed If we have codominant markers how many do I need • IDENTITY tests = probability calculation based on allele frequency… Multiplication of frequencies of alleles • 10 alleles at locus 1 P1=0.1 • 5 alleles at locus 2 P2=0,2 • Total P= P1*P2=0.02 Have we sampled enough? • Resampling approaches • Saturation curves – A total of 30 polymorphic alleles – Our sample is either 10 or 20 – Calculate whether each new sample is characterized by new alleles Saturation (rarefaction) curves No Of New alleles 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Dealing with dominant anonymous multilocus markers • • • • Need to use large numbers (linkage) Repeatability Graph distribution of distances Calculate distance using Jaccard’s similarity index Jaccard’s • Only 1-1 and 1-0 count, 0-0 do not count 1010011 1001011 1001000 Jaccard’s • Only 1-1 and 1-0 count, 0-0 do not count A: 1010011 B: 1001011 C: 1001000 AB= 0.6 BC=0.5 AC=0.2 0.4 (1-AB) 0.5 0.8 Now that we have distances…. • Plot their distribution (clonal vs. sexual) Now that we have distances…. • Plot their distribution (clonal vs. sexual) • Analysis: – Similarity (cluster analysis); a variety of algorithms. Most common are NJ and UPGMA Now that we have distances…. • Plot their distribution (clonal vs. sexual) • Analysis: – Similarity (cluster analysis); a variety of algorithms. Most common are NJ and UPGMA – AMOVA; requires a priori grouping AMOVA groupings • Individual • Population • Region AMOVA: partitions molecular variance amongst a priori defined groupings Example • SPECIES X: 50%blue, 50% yellow AMOVA: example Scenario 1 v v Scenario 2 POP 1 POP 2 Expectations for fungi • Sexually reproducing fungi characterized by high percentage of variance explained by individual populations • Amount of variance between populations and regions will depend on ability of organism to move, availability of host, and • NOTE: if genotypes are not sensitive enough so you are calling “the same” things that are different you may get unreliable results like 100 % variance within pops, none among pops Plotting distances • Pairwise genetic distances can be plotted: the distribution of distances can be informative of biology of organism Results: Jaccard similarity coefficients Frequency P. nemorosa 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 0.90 0.92 0.94 0.96 Coefficient 1.00 0.98 Frequency P. pseudosyringae: U.S. and E.U. 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 0.90 0.92 0.94 0.96 Coefficient 0.98 1.00 P. pseudosyringae genetic similarity patterns are different in U.S. and E.U. 0.7 Frequency 0.6 0.5 Pp U.S. 0.4 Pp E.U. 0.3 0.2 0.1 0.0 0.9 0.91 0.92 0.93 0.94 0.95 0.96 0.97 Jaccard coefficient of similarity 0.98 0.99 Results: P. nemorosa 4175A p72 p39 p91 1050 P. ilicis P. pseudosyringae p7 2502 p51 2055.2 2146.1 5104 4083.1 2512 2510 2501 2500 2204 2201 2162.1 2155.3 2140.2 2140.1 2134.1 2059.2 2052.2 HCT4 MWT5 p114 p113 p61 p59 p52 p44 p38 p37 p13 p16 2059.4 p115 2156.1 HCT7 p106 0.1 P. nemorosa Results: P. pseudosyringae P. ilicis P. nemorosa 4175A 2055.2 p44 = E.U. isolate 0.1 FC2D FC2E GEROR4 FC1B FCHHD FCHHC FC1A p80 FAGGIO 2 FAGGIO 1 FCHHB FCHHA FC2F FC2C FC1F FC1D FC1C p83 p40 BU9715 p50 p94 p92 p88 p90 p56B p45 p41 p72 p84 p85 p86 p87 p93 p96 p39 p118 p97 p81 p76 p73 p70 p69 p62 p55 p54 HELA2 HELA 1 P. pseudosyringae The “scale” of disease • Dispersal gradients dependent on propagule size, resilience, ability to dessicate, NOTE: not linear • Important interaction with environment, habitat, and niche availability. Examples: Heterobasidion in Western Alps, Matsutake mushrooms that offer example of habitat tracking • Scale of dispersal (implicitely correlated to metapopulation structure)--- QuickTime™ and a TIFF (LZW) decompressor are needed to see this picture. RAPDS> not used often now QuickTime™ and a TIFF (LZW) decompressor are needed to see this picture. RAPD DATA W/O COSEGREGATING MARKERS QuickTime™ and a TIFF (LZW) decompressor are needed to see this picture. PCA QuickTime™ and a TIFF (LZW) decompressor are needed to see this picture. AFLP • Amplified Fragment Length Polymorphisms • Dominant marker • Scans the entire genome like RAPDs • More reliable because it uses longer PCR primers less likely to mismatch • Priming sites are a construct of the sequence in the organism and a piece of synthesized DNA How are AFLPs generated? • AGGTCGCTAAAATTTT (restriction site in red) • AGGTCG CTAAATTT • Synthetic DNA piece ligated – NNNNNNNNNNNNNNCTAAATTTTT • Created a new PCR priming site – NNNNNNNNNNNNNNCTAAATTTTT • Every time two PCR priming sitea are within 400-1600 bp you obtain amplification Coco Solo Mananti Ponsok David Coco Solo 0 237 273 307 Mananti Ponsok David 0 60 89 0 113 0 Distances between study sites White mangroves: Corioloposis caperata Forest fragmentation can lead to loss of gene flow among previously contiguous populations. The negative repercussions of such genetic isolation should most severely affect highly specialized organisms such as some plantparasitic fungi. AFLP study on single spores Coriolopsis caperata on Laguncularia racemosa Site # of isolates # of loci % fixed alleles Coco Solo 11 113 2.6 David 14 104 3.7 Bocas 18 92 15.04 Coco Solo Coco Solo Bocas David 0.000 0.000 0.000 Bocas 0.2083 0.000 0.000 David 0.1109 0.2533 0.000 Distances =PhiST between pairs of populations. Above diagonal is the Probability Random d istance > Observed distance (1000 iterations). Using DNA sequences • • • • • Obtain sequence Align sequences, number of parsimony informative sites Gap handling Picking sequences (order) Analyze sequences (similarity/parsimony/exhaustive/bayesian • Analyze output; CI, HI Bootstrap/decay indices Using DNA sequences • • • • Testing alternative trees: kashino hasegawa Molecular clock Outgroup Spatial correlation (Mantel) • Networks and coalescence approaches From Garbelotto and Chapela, Evolution and biogeography of matsutakes Biodiversity within species as significant as between species Microsatellites or SSRs • AGTTTCATGCGTAGGT CG CG CG CG CG AAAATTTTAGGTAAATTT • Number of CG is variable • Design primers on FLANKING region, amplify DNA • Electrophoresis on gel, or capillary • Size the allele (different by one or more repeats; if number does not match there may be polimorphisms in flanking region) • Stepwise mutational process (2 to 3 to 4 to 3 to2 repeats) ACACACACACACACACAC MS18 (AC)38 (AC)39 (AC)40 218 bp 220 bp 222 bp MS43a MS43a MS43a (CAGA)70 (CAGA)71 (CAGA)72 373 bp 377 bp 381 bp (220-218)2 (222-218)2 22 42 (377-373)2 (381-373)2 42 82 (39-38)2 (40-38)2 12 22 (71-70)2 (72-70)2 12 22 AMOVA Analysis of Molecular Variance 75 Example 1: Origins of the Sudden Oak Death Epidemic in California (Mascheretti et al., Molecular Ecology (2008) 17: 2755-2768) Photo: UC Davis Photo: www.membranetransport.org 76 Photo: Northeast Plant Diagnostic Network Spatial autocorrelation Moran’s I Within approx. 100 meters the genetic structure correlates with the geographical distance 0 10 100 1000 Geographical distance (m) 77 Spatial autocorrelation 0.6 0.5 0.4 Moran's I 0.3 0.2 0.1 0 -0.1 -0.2 1 10 100 1000 10000 100000 1000000 Mean Geographical Distance (m) Moran’s I (coefficient of departure from spatial randomness) correlates with distance up to Distribution of genotypes (6 microsatellite markers) in different populations of P.ramorum in California 78 NJ tree of P. ramorum populations in California HU-1 MA-1 HU-2 MA-2 MA-3 SC-2 MO-1 MO-2 SO-1 SO-2 MA-5 SC-3 SC-1 MA-4 NURSERY 79 Example: microsatellites genotyping of P. ramorum isolates • Phytophthora ramorum (Oomycete) – causal agent of Sudden Oak Death (SOD) first reported in California in 1994 – SOD affects tanoak (Lithocarpus densiflora), coast live oak (Quercus agrifolia), Californian black oak (Quercus kelloggii), and Canyon live oak (Quercus chrysolepis) – P.ramorum also cause a disease characterized mostly by leaf blight and/or branch dieback in over 100 species of both wild and ornamental plants, including California bay laurel (Umbellularia cailfornica), California redwood (Sequoia sempervirens), Camellia and Rhododrendron species Collection of infected bay leaves from several forests in Sonoma, Monterey, Marin, Napa, Alameda, San Mateo 80 Microsatellites (I) mating type A1 (EU) and mating type A2 (US) A2 (US) A1 (EU) Locus 29 325/ -/337 325/337 Locus 33 315/337 325/337 Locus 65 234/252 220/222 236/244 81 Ind. MS39a MS39b MS43a MS43b MS45 MS18 MS64 Mating type 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 129-129 129-129 129-129 129-129 129-129 129-129 129-129 129-129 129-129 129-129 129-129 129-129 129-129 129-129 129-129 129-129 129-129 129-129 129-129 129-129 246-246 246-246 246-246 246-246 246-246 246-246 246-246 246-246 250-250 250-250 250-250 250-250 250-250 250-250 250-250 246-246 246-246 246-246 246-246 246-246 369-369 369-369 373-373 373-373 373-373 373-373 373-373 373-373 369-369 369-369 369-369 377-377 377-377 377-377 377-377 377-377 377-377 369-369 381-381 381-381 486-486 486-486 486-486 486-486 486-486 486-486 486-486 486-486 486-486 486-486 486-486 490-490 490-490 490-490 490-490 490-490 486-486 486-486 486-486 494-494 167-187 167-187 167-187 167-187 167-187 167-187 167-187 167-187 167-187 167-187 167-187 167-187 167-187 167-187 167-187 167-187 167-187 167-187 167-187 167-187 220-278 220-278 220-274 220-274 220-274 220-274 220-278 220-278 220-278 220-278 220-278 220-278 220-278 220-278 220-278 220-278 220-278 220-278 222-null 222-null 342-374 342-374 342-374 342-378 342-378 342-378 342-378 342-374 342-374 342-374 342-374 342-374 342-381 342-381 342-381 342-374 342-374 342-374 342-374 342-374 A1 A1 A1 A1 A1 A1 A1 A1 A1 A1 A1 A1 A1 A1 A1 A1 A1 A1 A2 A2 82 Genetic analysis requires variation at loci, variation of markers (polymorphisms) • How the variation is structured will tell us – Does the microbe reproduce sexually or clonally – Is infection primary or secondary – Is contagion caused by local infectious spreaders or by a longdisance moving spreaders – How far can individuals move: how large are populations – Is there inbreeding or are individuals freely outcrossing CASE STUDY A stand of adjacent trees is infected by a disease: How can we determine the way trees are infected? CASE STUDY A stand of adjacent trees is infected by a disease: How can we determine the way trees are infected? BY ANALYSING THE GENOTYPE OF THE MICROBES: if the genotype is the same then we have local secondary tree-to-tree contagion. If all genotypes are different then primary infection caused by airborne spores is the likely cause of Contagion. CASE STUDY WE HAVE DETERMINED AIRBORNE SPORES (PRIMARY INFECTION ) IS THE MOST COMMON FORM OF INFECTI QUESTION: Are the infectious spores produced by a spreader, or is there a general airborne population of spores may come from far away ? HOW CAN WE ANSWER THIS QUESTION? If spores are produced by a local spreader.. • Even if each tree is infected by different genotypes (each representing the result of meiosis like us here in this class)….these genotypes will be related • HOW CAN WE DETERMINE IF THEY ARE RELATED? HOW CAN WE DETERMINE IF THEY ARE RELATED? • By using random genetic markers we find out the genetic similarity among these genotypes infecting adjacent trees is high • If all spores are generated by one individual – They should have the same mitochondrial genome – They should have one of two mating alleles WE DETERMINE INFECTIOUS SPORES ARE NOT RELATED • QUESTION: HOW FAR ARE THEY COMING FROM? ….or…… • HOW LARGE IS A POPULATION? Very important question: if we decide we want to wipe out an infectious disease we need to wipe out at least the areas corresponding to the population size, otherwise we will achieve no result. HOW TO DETERMINE WHETHER DIFFERENT SITES BELONG TO THE SAME POP OR NOT? • Sample the sites and run the genetic markers • If sites are very different: – All individuals from each site will be in their own exclusive clade, if two sites are in the same clade maybe those two populations actually are linked (within reach) – In AMOVA analysis, amount of genetic variance among populations will be significant (if organism is sexual portion of variance among individuals will also be significant) – F statistics: Fst will be over ) 0.10 (suggesting sttong structuring) – There will be isolation by distance Levels of Analyses Individual • identifying parents & offspring– very important in zoological circles – identify patterns of mating between individuals (polyandry, etc.) In fungi, it is important to identify the "individual" -determining clonal individuals from unique individuals that resulted from a single mating event. Levels of Analyses cont… • Families – looking at relatedness within colonies (ants, bees, etc.) • Population – level of variation within a population. – Dispersal = indirectly estimate by calculating migration – Conservation & Management = looking for founder effects (little allelic variation), bottlenecks (reduction in population size leads to little allelic variation) • Species – variation among species = what are the relationship between species. • Family, Order, ETC. = higher level phylogenies What is Population Genetics? About microevolution (evolution of species) The study of the change of allele frequencies, genotype frequencies, and phenotype frequencies Goals of population genetics • Natural selection (adaptation) • Chance (random events) • Mutations • Climatic changes (population expansions and contractions) •… To provide an explanatory framework to describe the evolution of species, organisms, and their genome, due to: Assumes that: • the same evolutionary forces acting within species (populations) should enable us to explain the differences we see between species • evolution leads to change in gene frequencies within populations Pathogen Population Genetics • must constantly adapt to changing environmental conditions to survive – High genetic diversity = easily adapted – Low genetic diversity = difficult to adapt to changing environmental conditions – important for determining evolutionary potential of a pathogen • If we are to control a disease, must target a population rather than individual • Exhibit a diverse array of reproductive strategies that impact population biology Analytical Techniques – Hardy-Weinberg Equilibrium • p2 + 2pq + q2 = 1 • Departures from non-random mating – F-Statistics • measures of genetic differentiation in populations – Genetic Distances – degree of similarity between OTUs • • • • Nei’s Reynolds Jaccards Cavalli-Sforza – Tree Algorithms – visualization of similarity • UPGMA • Neighbor Joining Allele Frequencies • Allele frequencies (gene frequencies) = proportion of all alleles in an all individuals in the group in question which are a particular type • Allele frequencies: p + q = 1 • Expected genotype frequencies: p2 + 2pq + q2 Evolutionary principles: Factors causing changes in genotype frequency • Selection = variation in fitness; heritable • Mutation = change in DNA of genes • Migration = movement of genes across populations – Vectors = Pollen, Spores • Recombination = exchange of gene segments • Non-random Mating = mating between neighbors rather than by chance • Random Genetic Drift = if populations are small enough, by chance, sampling will result in a different allele frequency from one generation to the next. The smaller the sample, the greater the chance of deviation from an ideal population. Genetic drift at small population sizes often occurs as a result of two situations: the bottleneck effect or the founder effect. Founder Effects; typical of exotic diseases • Establishment of a population by a few individuals can profoundly affect genetic variation – Consequences of Founder effects • • • • Fewer alleles Fixed alleles Modified allele frequencies compared to source pop GREATER THAN EXPECTED DIFFERENCES AMONG POPULATIONS BECAUSE POPULATIONS NOT IN EQUILIBRIUM (IF A BLONDE FOUNDS TOWN A AND A BRUNETTE FOUND TOWN B ANDF THERE IS NO MOVEMENT BETWEEN TOWNS, WE WILL ISTANTANEOUSLY OBSERVE POPULATION DIFFERENTIATION) Bottleneck Effect • The bottleneck effect occurs when the numbers of individuals in a larger population are drastically reduced • By chance, some alleles may be overrepresented and others underrepresented among the survivors • Some alleles may be eliminated altogether • Genetic drift will continue to impact the gene pool until the population is large enough Founder vs Bottleneck Northern Elephant Seal: Example of Bottleneck Hunted down to 20 individuals in 1890’s Population has recovered to over 30,000 No genetic diversity at 20 loci Hardy Weinberg Equilibrium and F-Stats • In general, requires co-dominant marker system • Codominant = expression of heterozygote phenotypes that differ from either homozygote phenotype. • AA, Aa, aa Hardy-Weinberg Equilibrium • Null Model = population is in HW Equilibrium – Useful – Often predicts genotype frequencies well Hardy-Weinberg Theorem if only random mating occurs, then allele frequencies remain unchanged over time. After one generation of random-mating, genotype frequencies are given by AA Aa aa p2 2pq q2 p = freq (A) q = freq (a) Expected Genotype Frequencies • The possible range for an allele frequency or genotype frequency therefore lies between ( 0 – 1) • with 0 meaning complete absence of that allele or genotype from the population (no individual in the population carries that allele or genotype) • 1 means complete fixation of the allele or genotype (fixation means that every individual in the population is homozygous for the allele -i.e., has the same genotype at that locus). ASSUMPTIONS 1) diploid organism 2) sexual reproduction 3) Discrete generations (no overlap) 4) mating occurs at random 5) large population size (infinite) 6) No migration (closed population) 7) Mutations can be ignored 8) No selection on alleles IMPORTANCE OF HW THEOREM If the only force acting on the population is random mating, allele frequencies remain unchanged and genotypic frequencies are constant. Mendelian genetics implies that genetic variability can persist indefinitely, unless other evolutionary forces act to remove it Departures from HW Equilibrium • Check Gene Diversity = Heterozygosity – If high gene diversity = different genetic sources due to high levels of migration • Inbreeding - mating system “leaky” or breaks down allowing mating between siblings • Asexual reproduction = check for clones – Risk of over emphasizing particular individuals • Restricted dispersal = local differentiation leads to non-random mating Pop 3 Pop 4 FST = 0.30 Pop 2 Pop 1 FST = 0.02 Pop1 Pop2 Pop3 Sample size AA 20 20 20 10 5 0 Aa 4 10 8 aa 6 5 12 Pop1 Pop2 Pop3 Freq p (20 + 1/2*8)/40 (10+1/2*20)/40 (0+1/2*16)/40 = 0.60 = .50 = 0.20 q (12 + 1/2*8)/40 (10+1/2*20)/40 (24+1/2*16)/40 = 0.40 = .50 = 0.80 Local Inbreeding Coefficient • Calculate HOBS – Pop1: 4/20 = 0.20 – Pop2: 10/20 = 0.50 – Pop3: 8/20 = 0.40 • Calculate HEXP (2pq) – Pop1: 2*0.60*0.40 = 0.48 – Pop2: 2*0.50*0.50 = 0.50 – Pop3: 2*0.20*0.80 = 0.32 • Calculate F = (HEXP – HOBS)/ HEXP • Pop1 = (0.48 – 0.20)/(0.48) = 0.583 • Pop2 = (0.50 – 0.50)/(0.50) = 0.000 • Pop3 = (0.32 – 0.40)/(0.32) = -0.250 F Stats Proportions of Variance • FIS = (HS – HI)/(HS) • FST = (HT – HS)/(HT) • FIT = (HT – HI)/(HT) Pop Hs HI p q 1 0.48 0.20 0.60 0.40 2 0.50 0.50 0.50 0.50 3 0.32 0.40 0.20 0.80 HT FIS FST FIT Mea 0.43 0.37 0.43 0.57 0.49 0.12 0.24 n 0.14 Important point • Fst values are significant or not depending on the organism you are studying or reading about: – Fst =0.10 would be outrageous for humans, for fungi means modest substructuring RESEARCHARTICLE Isolation by landscape in populations of a prized edible mushroom Tricholoma matsutake Anthony Amend Æ Matteo Garbelotto Æ Zhendong Fang Æ Sterling Keeley Conserv Genet DOI 10.1007/s10592-009-9894-0 QuickTime™ and a TIFF (LZW) decompressor are needed to see this picture. QuickTime™ and a TIFF (LZW) decompressor are needed to see this picture. Microsatellites or SSRs • AGTTTCATGCGTAGGT CG CG CG CG CG AAAATTTTAGGTAAATTT • Number of CG is variable • Design primers on FLANKING region, amplify DNA • Electrophoresis on gel, or capillary • Size the allele (different by one or more repeats; if number does not match there may be polimorphisms in flanking region) • Stepwise mutational process (2 to 3 to 4 to 3 to2 repeats) Host islands within the California Northern Channel Islands create fine-scale genetic structure in two sympatric species of the symbiotic ectomycorrhizal fungus Rhizopogon Rhizopogon occidentalis Rhizopogon vulgaris Rhizopogon sampling & study area • Santa Rosa, Santa Cruz – R. occidentalis – R. vulgaris • Overlapping ranges – Sympatric – Independent evolutionary histories Sampling Bioassay – Mycorrhizal pine roots Local Scale Population Structure Rhizopogon occidentalis FST = 0.26 N 5 km T B FST = 0.24 Populations are similar Grubisha LC, Bergemann SE, Bruns TD Molecular Ecology in press. FST W E 8-19 km FST = 0.33 = 0.17 Populations are different Local Scale Population Structure Rhizopogon vulgaris FST = 0.21 N FST = 0.20 W E FST = 0.25 Populations are different Grubisha LC, Bergemann SE, Bruns TD Molecular Ecology in press B. Locus Rvu24.9 Rvu20.80 Allele 234 237 240 Santa Cruz Island (SCI) SCI East SCI No rth SCI West 0.267 0.458 0.576 0.467 0.479 0.424 0.267 0.063 144 153 156 159 162 165 168 0.033 0.383 0.133 0.400 195 198 201 204 207 210 0.050 Rvu20.46 Rvu21.83 Rvu19.80 Rvu21.13 0.033 0.017 0.156 0.323 0.281 0.104 0.135 0.033 0.076 0.065 0.739 0.087 Santa Rosa Island (SRI) SRI 1.000 0.833 0.167 0.100 0.017 0.817 0.017 0.167 0.042 0.125 0.010 0.615 0.042 0.054 0.033 0.663 0.228 0.022 1.000 144 147 0.017 0.983 0.042 0.958 0.478 0.522 0.417 0.583 291 294 297 300 303 306 309 0.433 0.300 0.050 0.200 0.017 0.021 0.646 0.125 0.010 0.115 0.073 0.010 0.587 0.043 0.370 1.000 261 264 0.983 0.017 0.865 0.135 0.989 0.01 1 1.000 How do we know that we are sampling a population? • We actually do not know • Mostly we tend to identify samples from a discrete location as a population, obviously that’s tautological • Assignment tests will use the data to define population, that is what Grubisha et al. did using the program STRUCTURE Four phases of INVASION • TRANSPORT • SURVIVAL AND ESTABLISHMENT (LAG PHASE) • INVASION • POST-INVASION TRANSPORT • Biology will determine how • Normally very few organisms will make it • Use phylogeographic approach to determine origin ( Armillaria, Heterobasidion) • Use population genetic approach (Cryphonectria, Certocystis fimbriata) TRANSPORT-2 • Need to sample source pop or a pop that is close enough • Need markers that are polymorphic and will differentiate genotypes haplotypes • Need analysis that will discriminate amongst individuals and identify relationships ( similarity clusterying, parsimony, Fst & N, coalescent) ESTABLISHMENT • LAG PHASE; normally effects not noticed because mortality are masked by background normal mortality • By the time the introduction is discovered, normally too late to eradicate • Short lag phase= aggressive pathogen • Long lag phase= less aggressive pathogen ESTABLISHMENT • NORMALLY REDUCED GENETIC VARIABILITY INVASION • Because of lack of equilibrium, high Fst values, I.e. strong genetic structuring among populations • Normally dominance of a few genotypes • Spatial autocorrelation analyses to tell us exten of spread INVASION-2 • Later phase: genetic differentiation • Higher genetic difference in areas of older establishment