Lect 11: Inbreeding, evolution at multiple loci. Exam 1, Monday, 2 October. Consequences of Inbreeding: Genotype frequencies

Size: px
Start display at page:

Download "Lect 11: Inbreeding, evolution at multiple loci. Exam 1, Monday, 2 October. Consequences of Inbreeding: Genotype frequencies"

Transcription

1 Lect 11: Inreeding, evolution t multiple loci Exm 1, Mondy, 2 Octoer Non-rndom mting-- Inreeding evolutionry consequences Synthesis: drift-migrtion: popultion structure Popultion genetics of pririe chickens Evolution t multiple loci Linkge disequilirium Selection, selective sweeps Lectures 1-10, plus first prt of tody Ls week 2-5 Redings Ch 1-6 On the we pge Lecture notes Study guide Consequences of Inreeding: Genotype frequencies Fr() = p 2 + pqf Fr() = 2pq - 2pqF Selfing F = 0.5 Consequences of Inreeding: Genotype frequencies Fr() = p 2 + pqf Fr() = 2pq - 2pqF F = 0 p 2 2pq F = 1 p 0 Inreeding leds to deficiency of heterozygotes nd n excess of homozygotes Inreeding does not ffect llele frequencies q 2 q Evolutionry Consequences of Inreeding? Inreeding depression Evolutionry Consequences of Inreeding? Inreeding depression! = 1 - w s /w o w s = fitness of selfer w o = fitness of outcrosser Dudsh 1990 Sti ngulris! = 1 - w s /w o Field:! = /0.66! = 0.62

2 Evolutionry Consequences of Inreeding? In Humns: Fig 6.28 Fig Cuses of Inreeding depression? Fr() = p 2 + pqf Fr() = 2pq - 2pqF Incresed homozygosity Decresed heterozygosity Inreeding importnt when: selection on rre recessive lleles s homozygotes: unmsked overdominnce Synthesis: -Migrtion Popultions drift to different llele frequencies H within pops decreses F st increses: divergence in llele frequencies mong popultions F ST Time

3 Migrtion Migrtion Strong gene flow F st? H w/in pops? Smller Lrger -migrtion low gene flow Synthesis: Greter Pririe Chickens F ST high gene flow 25,000 2,000 Figure Time Opposite effect on H Why decline despite more hitt? Why reound? Figure 6.3 Greter Pririe Chickens

4 Extinction vortex, genetic rescue Decline: Smll popultions, drift, sence of migrtion, inreeding depression Evolution t multiple loci Fitness ffected y more thn one genetic locus? Two loci:, Mny loci: Quntittive genetics (polygenic inheritnce) Two loci, two lleles Reound: Migrtion restored polymorphism, reduces inreeding Prent Gmetes Linkge Equilirium Definition: Rndom ssocition of lleles t different loci Definition: Non-rndom ssocition of lleles t different loci Gene pool Locus 1 (fr = p) (fr = q) (fr = ps) (fr = pt) Wht if selection fvors llele? Pro. tht llele ssocited with = s Gene pool Locus 1 (fr = p) (fr = q) (fr! ps) (fr! pt) Wht if selection fvors llele? Pro. tht llele ssocited with! s Locus 2 (fr = s) (fr = t) (fr = qs) (fr = qt) Pro. tht llele ssocited with = s No effect on llele Locus 2 (fr = s) (fr = t) (fr! qs) (fr! qt) Selection on llele cuses chnge in frequency of llele Coefficient of linkge disequilirium (D) Wht elimintes it? (fr = g ) (fr = g ) (fr = g ) (fr = g ) D = g g - g g D rnges to 0.25 D = 0 Linkge equilirium When D! 0, non-rndom ssocitions Recomintion reduces D over time* D = D(1 - r) r = recomintion rte *IF no force cts to mintin D genertion r = 0.0 r = 0.1 r =

5 Wht cretes it? Wht cretes it? 1. Selection 2. Genetic drift 1. Selection on oth loci Locus 1: color Locus 2: Hitt choice 3. Pop n dmixture 4. Non-rndom mting GG, Gg rr codpted gene complex RR, Rr gg Survivors will tend to hve g nd r lleles Wht cretes it? 2. Selective sweeps: hitch-hiking y closely linked llele Positive selection ( only) Selective Sweeps : gmetes more common thn y chnce Positive selection ( only) hitchhikes to high frequency Review Disequilirium creted y selection, drift, dmixture & non-rndom mting Disequilirium roken down y recomintion (unless mintined y selection, etc.) When D! 0, selection on one locus cuses evolutionry chnge t nother Inreeding (Non-rndom mting) increses homozygosity, decreses heterozygosity ffect evolution through inreeding depression Synthesis: Unmsking deleterious recessives The sence of heterozygotes under overdominnce -migrtion: outcome for polymorphism within popultions nd divergence etween popultions depends on the reltive strength of these two forces Forces cting on Greter Pririe Chicken: strong drift, inreeding depression, wek migrtion. Evolutionry consequences reversed with migrtion Evolution t two loci: linkge disequilirium cused y selection, selective sweeps

Haplotype Frequencies and Linkage Disequilibrium. Biostatistics 666

Haplotype Frequencies and Linkage Disequilibrium. Biostatistics 666 Hlotye Frequencies nd Linkge isequilirium iosttistics 666 Lst Lecture Genotye Frequencies llele Frequencies Phenotyes nd Penetrnces Hrdy-Weinerg Equilirium Simle demonstrtion Exercise: NO2 nd owel isese

More information

Midterm#1 comments. Overview- chapter 6. Recombination. Recombination 1 st sense

Midterm#1 comments. Overview- chapter 6. Recombination. Recombination 1 st sense Midterm#1 comments So fr, ~ 10% of exms grded, wide rnge of results: 1 perfect score, 1 score < 100pts rtil credit is given if you get prt of the nswer right Tests will e returned next Thursdy Some of

More information

1) Genetic Architecture and (Number of loci, no. of alleles per locus, Mechanisms of gametic production Genetic system, Mendel s rules, etc)

1) Genetic Architecture and (Number of loci, no. of alleles per locus, Mechanisms of gametic production Genetic system, Mendel s rules, etc) HARDY-WEINBERG LECTURE, 997 POP GEN, BIO 48 Introduction When studying popultion genetics nd evolution, we must look t how genetic vrition (moleculr level impcts the gene pool/deme (popultion level. Consider

More information

STAT 536: Genetic Drift

STAT 536: Genetic Drift STT 536: Genetic Drift Krin S. Dormn Deprtment of Sttistics Iow Stte University October 05, 2006 Finite Popultion Size In finite popultions, rndom chnges in llele frequency result becuse of Vrition in

More information

Course Information. Computational Genetics Lecture 1. Course Prerequisites. Course Goals

Course Information. Computational Genetics Lecture 1. Course Prerequisites. Course Goals Course Informtion. Computtionl Genetics Lecture 1 ckground Redings: Chpter 2&3 of n introduction to Genetics, Griffiths et l. 2000, Seventh Edition (CS/Fishch/Other lirries). This clss hs een edited from

More information

19. Genetic Drift. The biological context. There are four basic consequences of genetic drift:

19. Genetic Drift. The biological context. There are four basic consequences of genetic drift: 9. Genetic Drift Genetic drift is the alteration of gene frequencies due to sampling variation from one generation to the next. It operates to some degree in all finite populations, but can be significant

More information

LECTURE # How does one test whether a population is in the HW equilibrium? (i) try the following example: Genotype Observed AA 50 Aa 0 aa 50

LECTURE # How does one test whether a population is in the HW equilibrium? (i) try the following example: Genotype Observed AA 50 Aa 0 aa 50 LECTURE #10 A. The Hardy-Weinberg Equilibrium 1. From the definitions of p and q, and of p 2, 2pq, and q 2, an equilibrium is indicated (p + q) 2 = p 2 + 2pq + q 2 : if p and q remain constant, and if

More information

Lecture 18: Species, Hybrids, and QTL. Oct 23, 2006

Lecture 18: Species, Hybrids, and QTL. Oct 23, 2006 Leture 18: Speies, Hyrids, nd QTL Ot 23, 2006 ourse Logistis Reminder: Guest leture Fridy, Novemer 3 Reding posted on wesite 2 nd Reminder: no lss on Wednesdy, Novemer 1 nother 2 nd Reminder: Everyone

More information

CHAPTER 9 LECTURE NOTES: CHROMOSOME MUTATION II: CHANGES IN NUMBERS

CHAPTER 9 LECTURE NOTES: CHROMOSOME MUTATION II: CHANGES IN NUMBERS CHPTER 9 LECTURE NOTES: CHROMOSOME MUTTION II: CHNGES IN NUMBERS I. berrnt euploidy. Generl info. Euploidy refers to the sitution in which n orgnism hs one complete set of chromosomes or n integer multiple

More information

Population bottleneck : dramatic reduction of population size followed by rapid expansion,

Population bottleneck : dramatic reduction of population size followed by rapid expansion, Selection We hve defined nucleotide diversity denoted by π s the proportion of nucleotides tht differ between two rndomly chosen sequences. We hve shown tht E[π] = θ = 4 e µ where µ cn be estimted directly.

More information

Quantitative Genetics and Twin Studies

Quantitative Genetics and Twin Studies Count Count Count Count Quntittive Genetics nd Twin Studies n Introduction! co de Geus -Dept. Biologicl Psychology -Netherlnds Twin Register msterdm, the Netherlnds 600 N = 6602 M = 48,27 SD = 25,0 75

More information

Population Structure

Population Structure Ch 4: Population Subdivision Population Structure v most natural populations exist across a landscape (or seascape) that is more or less divided into areas of suitable habitat v to the extent that populations

More information

Dynamic equilibrium occurs when the forward and reverse reactions occur at the same rate.

Dynamic equilibrium occurs when the forward and reverse reactions occur at the same rate. MODULE 2 WORKSHEET8 EQUILIBRIUM Syllus reference 9.3.2 1 Clssify ech of the following sttements s true or flse. For the flse sttements rewrite them so they re true. For chemicl equilirium to e estlished

More information

Math 8 Winter 2015 Applications of Integration

Math 8 Winter 2015 Applications of Integration Mth 8 Winter 205 Applictions of Integrtion Here re few importnt pplictions of integrtion. The pplictions you my see on n exm in this course include only the Net Chnge Theorem (which is relly just the Fundmentl

More information

Genetic Programming. Outline. Evolutionary Strategies. Evolutionary strategies Genetic programming Summary

Genetic Programming. Outline. Evolutionary Strategies. Evolutionary strategies Genetic programming Summary Outline Genetic Progrmming Evolutionry strtegies Genetic progrmming Summry Bsed on the mteril provided y Professor Michel Negnevitsky Evolutionry Strtegies An pproch simulting nturl evolution ws proposed

More information

Natural Selection results in increase in one (or more) genotypes relative to other genotypes.

Natural Selection results in increase in one (or more) genotypes relative to other genotypes. Natural Selection results in increase in one (or more) genotypes relative to other genotypes. Fitness - The fitness of a genotype is the average per capita lifetime contribution of individuals of that

More information

Version 001 HW#6 - Electromagnetic Induction arts (00224) 1 3 T

Version 001 HW#6 - Electromagnetic Induction arts (00224) 1 3 T Version 001 HW#6 - lectromgnetic Induction rts (00224) 1 This print-out should hve 12 questions. Multiple-choice questions my continue on the next column or pge find ll choices efore nswering. AP 1998

More information

Unit 2 Exponents Study Guide

Unit 2 Exponents Study Guide Unit Eponents Stud Guide 7. Integer Eponents Prt : Zero Eponents Algeric Definition: 0 where cn e n non-zero vlue 0 ecuse 0 rised to n power less thn or equl to zero is n undefined vlue. Eple: 0 If ou

More information

Neutral Theory of Molecular Evolution

Neutral Theory of Molecular Evolution Neutral Theory of Molecular Evolution Kimura Nature (968) 7:64-66 King and Jukes Science (969) 64:788-798 (Non-Darwinian Evolution) Neutral Theory of Molecular Evolution Describes the source of variation

More information

Interpreting Integrals and the Fundamental Theorem

Interpreting Integrals and the Fundamental Theorem Interpreting Integrls nd the Fundmentl Theorem Tody, we go further in interpreting the mening of the definite integrl. Using Units to Aid Interprettion We lredy know tht if f(t) is the rte of chnge of

More information

Evolution PCB4674 Midterm exam2 Mar

Evolution PCB4674 Midterm exam2 Mar Evolution PCB4674 Midterm exam2 Mar 22 2005 Name: ID: For each multiple choice question select the single est answer. Answer questions 1 to 20 on your scantron sheet. Answer the remaining questions in

More information

R(3, 8) P( 3, 0) Q( 2, 2) S(5, 3) Q(2, 32) P(0, 8) Higher Mathematics Objective Test Practice Book. 1 The diagram shows a sketch of part of

R(3, 8) P( 3, 0) Q( 2, 2) S(5, 3) Q(2, 32) P(0, 8) Higher Mathematics Objective Test Practice Book. 1 The diagram shows a sketch of part of Higher Mthemtics Ojective Test Prctice ook The digrm shows sketch of prt of the grph of f ( ). The digrm shows sketch of the cuic f ( ). R(, 8) f ( ) f ( ) P(, ) Q(, ) S(, ) Wht re the domin nd rnge of

More information

Population Genetics I. Bio

Population Genetics I. Bio Population Genetics I. Bio5488-2018 Don Conrad dconrad@genetics.wustl.edu Why study population genetics? Functional Inference Demographic inference: History of mankind is written in our DNA. We can learn

More information

Today s Outline. Inheritance. Darwin & Mendel near miss. Gregor Johann Mendel. Terms Punnett-square. Modern Synthesis

Today s Outline. Inheritance. Darwin & Mendel near miss. Gregor Johann Mendel. Terms Punnett-square. Modern Synthesis Tody s Outline Inheritne Gregor Mendel Theory of segregtion Theory of independent ssortment Soures of vrition in popultions hromosoml sis of inheritne Humn genetis & ethis Gregor Johnn Mendel Gregor Johnn

More information

9.1 Day 1 Warm Up. Solve the equation = x x 2 = March 1, 2017 Geometry 9.1 The Pythagorean Theorem 1

9.1 Day 1 Warm Up. Solve the equation = x x 2 = March 1, 2017 Geometry 9.1 The Pythagorean Theorem 1 9.1 Dy 1 Wrm Up Solve the eqution. 1. 4 2 + 3 2 = x 2 2. 13 2 + x 2 = 25 2 3. 3 2 2 + x 2 = 5 2 2 4. 5 2 + x 2 = 12 2 Mrh 1, 2017 Geometry 9.1 The Pythgoren Theorem 1 9.1 Dy 2 Wrm Up Use the Pythgoren

More information

= x x 2 = 25 2

= x x 2 = 25 2 9.1 Wrm Up Solve the eqution. 1. 4 2 + 3 2 = x 2 2. 13 2 + x 2 = 25 2 3. 3 2 2 + x 2 = 5 2 2 4. 5 2 + x 2 = 12 2 Mrh 7, 2016 Geometry 9.1 The Pythgoren Theorem 1 Geometry 9.1 The Pythgoren Theorem 9.1

More information

Fig. 1. Open-Loop and Closed-Loop Systems with Plant Variations

Fig. 1. Open-Loop and Closed-Loop Systems with Plant Variations ME 3600 Control ystems Chrcteristics of Open-Loop nd Closed-Loop ystems Importnt Control ystem Chrcteristics o ensitivity of system response to prmetric vritions cn be reduced o rnsient nd stedy-stte responses

More information

Question: If mating occurs at random in the population, what will the frequencies of A 1 and A 2 be in the next generation?

Question: If mating occurs at random in the population, what will the frequencies of A 1 and A 2 be in the next generation? October 12, 2009 Bioe 109 Fall 2009 Lecture 8 Microevolution 1 - selection The Hardy-Weinberg-Castle Equilibrium - consider a single locus with two alleles A 1 and A 2. - three genotypes are thus possible:

More information

An Improved Selection of GEP Based on CPCSC-DSC Approach

An Improved Selection of GEP Based on CPCSC-DSC Approach An Improved Selection of GEP Bsed on CPCSC-DSC Approch Li Wu 1,, Yonghong Yu 2, nd Zhou Zhou 2, c 1 School of Finnce nd Pulic Mngement, Anhui University of Finnce & Economics, Bengu 233030, Chin; 2 School

More information

8. Genetic Diversity

8. Genetic Diversity 8. Genetic Diversity Many ways to measure the diversity of a population: For any measure of diversity, we expect an estimate to be: when only one kind of object is present; low when >1 kind of objects

More information

Natural Selection. DNA encodes information that interacts with the environment to influence phenotype

Natural Selection. DNA encodes information that interacts with the environment to influence phenotype Natural Selection DN encodes information that interacts with the environment to influence phenotype mong The Traits That Can Be Influenced By Genetically Determined Responses to the Environment re: 1.

More information

EMF Notes 9; Electromagnetic Induction ELECTROMAGNETIC INDUCTION

EMF Notes 9; Electromagnetic Induction ELECTROMAGNETIC INDUCTION EMF Notes 9; Electromgnetic nduction EECTOMAGNETC NDUCTON (Y&F Chpters 3, 3; Ohnin Chpter 3) These notes cover: Motionl emf nd the electric genertor Electromgnetic nduction nd Frdy s w enz s w nduced electric

More information

p-adic Egyptian Fractions

p-adic Egyptian Fractions p-adic Egyptin Frctions Contents 1 Introduction 1 2 Trditionl Egyptin Frctions nd Greedy Algorithm 2 3 Set-up 3 4 p-greedy Algorithm 5 5 p-egyptin Trditionl 10 6 Conclusion 1 Introduction An Egyptin frction

More information

Discrete Mathematics and Probability Theory Spring 2013 Anant Sahai Lecture 17

Discrete Mathematics and Probability Theory Spring 2013 Anant Sahai Lecture 17 EECS 70 Discrete Mthemtics nd Proility Theory Spring 2013 Annt Shi Lecture 17 I.I.D. Rndom Vriles Estimting the is of coin Question: We wnt to estimte the proportion p of Democrts in the US popultion,

More information

Which of the following describes the net ionic reaction for the hydrolysis. Which of the following salts will produce a solution with the highest ph?

Which of the following describes the net ionic reaction for the hydrolysis. Which of the following salts will produce a solution with the highest ph? 95. Which of the following descries the net ionic rection for the hydrolysis of NH4Cl( s)? A. NH4 ( q) Cl & ( q) NH4Cl( s) B. NH Cl & 4 ( s) NH4 ( q) Cl ( q) C. Cl ( q) H O & 2 ( l) HCl( q) OH ( q) D.

More information

Trigonometry Revision Sheet Q5 of Paper 2

Trigonometry Revision Sheet Q5 of Paper 2 Trigonometry Revision Sheet Q of Pper The Bsis - The Trigonometry setion is ll out tringles. We will normlly e given some of the sides or ngles of tringle nd we use formule nd rules to find the others.

More information

1. Weak acids. For a weak acid HA, there is less than 100% dissociation to ions. The B-L equilibrium is:

1. Weak acids. For a weak acid HA, there is less than 100% dissociation to ions. The B-L equilibrium is: th 9 Homework: Reding, M&F, ch. 15, pp. 584-598, 602-605 (clcultions of ph, etc., for wek cids, wek bses, polyprotic cids, nd slts; fctors ffecting cid strength). Problems: Nkon, ch. 18, #1-10, 16-18,

More information

NFAs and Regular Expressions. NFA-ε, continued. Recall. Last class: Today: Fun:

NFAs and Regular Expressions. NFA-ε, continued. Recall. Last class: Today: Fun: CMPU 240 Lnguge Theory nd Computtion Spring 2019 NFAs nd Regulr Expressions Lst clss: Introduced nondeterministic finite utomt with -trnsitions Tody: Prove n NFA- is no more powerful thn n NFA Introduce

More information

Minimal DFA. minimal DFA for L starting from any other

Minimal DFA. minimal DFA for L starting from any other Miniml DFA Among the mny DFAs ccepting the sme regulr lnguge L, there is exctly one (up to renming of sttes) which hs the smllest possile numer of sttes. Moreover, it is possile to otin tht miniml DFA

More information

Designing Information Devices and Systems I Discussion 8B

Designing Information Devices and Systems I Discussion 8B Lst Updted: 2018-10-17 19:40 1 EECS 16A Fll 2018 Designing Informtion Devices nd Systems I Discussion 8B 1. Why Bother With Thévenin Anywy? () Find Thévenin eqiuvlent for the circuit shown elow. 2kΩ 5V

More information

The steps of the hypothesis test

The steps of the hypothesis test ttisticl Methods I (EXT 7005) Pge 78 Mosquito species Time of dy A B C Mid morning 0.0088 5.4900 5.5000 Mid Afternoon.3400 0.0300 0.8700 Dusk 0.600 5.400 3.000 The Chi squre test sttistic is the sum of

More information

MCB : Homologous Recombination

MCB : Homologous Recombination MC 421-2006: Homologous Recomintion Prt I. Definitions Chnges in DN re clled muttions. Muttions cn e chnges in one se, in severl ses, in mny ses. Recomintion is lso chnge is DN. How is it different from

More information

For the percentage of full time students at RCC the symbols would be:

For the percentage of full time students at RCC the symbols would be: Mth 17/171 Chpter 7- ypothesis Testing with One Smple This chpter is s simple s the previous one, except it is more interesting In this chpter we will test clims concerning the sme prmeters tht we worked

More information

Genetical theory of natural selection

Genetical theory of natural selection Reminders Genetical theory of natural selection Chapter 12 Natural selection evolution Natural selection evolution by natural selection Natural selection can have no effect unless phenotypes differ in

More information

Advanced Algebra & Trigonometry Midterm Review Packet

Advanced Algebra & Trigonometry Midterm Review Packet Nme Dte Advnced Alger & Trigonometry Midterm Review Pcket The Advnced Alger & Trigonometry midterm em will test your generl knowledge of the mteril we hve covered since the eginning of the school yer.

More information

- point mutations in most non-coding DNA sites likely are likely neutral in their phenotypic effects.

- point mutations in most non-coding DNA sites likely are likely neutral in their phenotypic effects. January 29 th, 2010 Bioe 109 Winter 2010 Lecture 10 Microevolution 3 - random genetic drift - one of the most important shifts in evolutionary thinking over the past 30 years has been an appreciation of

More information

Lesson 1: Quadratic Equations

Lesson 1: Quadratic Equations Lesson 1: Qudrtic Equtions Qudrtic Eqution: The qudrtic eqution in form is. In this section, we will review 4 methods of qudrtic equtions, nd when it is most to use ech method. 1. 3.. 4. Method 1: Fctoring

More information

Physics 1402: Lecture 7 Today s Agenda

Physics 1402: Lecture 7 Today s Agenda 1 Physics 1402: Lecture 7 Tody s gend nnouncements: Lectures posted on: www.phys.uconn.edu/~rcote/ HW ssignments, solutions etc. Homework #2: On Msterphysics tody: due Fridy Go to msteringphysics.com Ls:

More information

4.4 Areas, Integrals and Antiderivatives

4.4 Areas, Integrals and Antiderivatives . res, integrls nd ntiderivtives 333. Ares, Integrls nd Antiderivtives This section explores properties of functions defined s res nd exmines some connections mong res, integrls nd ntiderivtives. In order

More information

Expectation and Variance

Expectation and Variance Expecttion nd Vrince : sum of two die rolls P(= P(= = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 P(=2) = 1/36 P(=3) = 1/18 P(=4) = 1/12 P(=5) = 1/9 P(=7) = 1/6 P(=13) =? 2 1/36 3 1/18 4 1/12 5 1/9 6 5/36 7 1/6

More information

Lecture 5. Today: Motion in many dimensions: Circular motion. Uniform Circular Motion

Lecture 5. Today: Motion in many dimensions: Circular motion. Uniform Circular Motion Lecture 5 Physics 2A Olg Dudko UCSD Physics Tody: Motion in mny dimensions: Circulr motion. Newton s Lws of Motion. Lws tht nswer why questions bout motion. Forces. Inerti. Momentum. Uniform Circulr Motion

More information

Week 7.2 Ch 4 Microevolutionary Proceses

Week 7.2 Ch 4 Microevolutionary Proceses Week 7.2 Ch 4 Microevolutionary Proceses 1 Mendelian Traits vs Polygenic Traits Mendelian -discrete -single gene determines effect -rarely influenced by environment Polygenic: -continuous -multiple genes

More information

Name Class Date. Match each phrase with the correct term or terms. Terms may be used more than once.

Name Class Date. Match each phrase with the correct term or terms. Terms may be used more than once. Exercises 341 Flow of Chrge (pge 681) potentil difference 1 Chrge flows when there is between the ends of conductor 2 Explin wht would hppen if Vn de Grff genertor chrged to high potentil ws connected

More information

Math 31S. Rumbos Fall Solutions to Assignment #16

Math 31S. Rumbos Fall Solutions to Assignment #16 Mth 31S. Rumbos Fll 2016 1 Solutions to Assignment #16 1. Logistic Growth 1. Suppose tht the growth of certin niml popultion is governed by the differentil eqution 1000 dn N dt = 100 N, (1) where N(t)

More information

Mechanisms of Evolution Microevolution. Key Concepts. Population Genetics

Mechanisms of Evolution Microevolution. Key Concepts. Population Genetics Mechanisms of Evolution Microevolution Population Genetics Key Concepts 23.1: Population genetics provides a foundation for studying evolution 23.2: Mutation and sexual recombination produce the variation

More information

Selection Page 1 sur 11. Atlas of Genetics and Cytogenetics in Oncology and Haematology SELECTION

Selection Page 1 sur 11. Atlas of Genetics and Cytogenetics in Oncology and Haematology SELECTION Selection Page 1 sur 11 Atlas of Genetics and Cytogenetics in Oncology and Haematology SELECTION * I- Introduction II- Modeling and selective values III- Basic model IV- Equation of the recurrence of allele

More information

Lecture 13 - Linking E, ϕ, and ρ

Lecture 13 - Linking E, ϕ, and ρ Lecture 13 - Linking E, ϕ, nd ρ A Puzzle... Inner-Surfce Chrge Density A positive point chrge q is locted off-center inside neutrl conducting sphericl shell. We know from Guss s lw tht the totl chrge on

More information

Febuary 1 st, 2010 Bioe 109 Winter 2010 Lecture 11 Molecular evolution. Classical vs. balanced views of genome structure

Febuary 1 st, 2010 Bioe 109 Winter 2010 Lecture 11 Molecular evolution. Classical vs. balanced views of genome structure Febuary 1 st, 2010 Bioe 109 Winter 2010 Lecture 11 Molecular evolution Classical vs. balanced views of genome structure - the proposal of the neutral theory by Kimura in 1968 led to the so-called neutralist-selectionist

More information

Larval dispersal. Settlement. Larval production Post-settlement. Sources of spatial and temporal variation in recruitment

Larval dispersal. Settlement. Larval production Post-settlement. Sources of spatial and temporal variation in recruitment Sources of sptil nd temporl vrition in recruitment Lrvl dispersl Sources of sptil nd temporl vrition in recruitment Processes ffecting SETTLEMENT of lrve 1) Physicl processes Settlement Lrvl production

More information

Thomas Whitham Sixth Form

Thomas Whitham Sixth Form Thoms Whithm Sith Form Pure Mthemtics Unit C Alger Trigonometry Geometry Clculus Vectors Trigonometry Compound ngle formule sin sin cos cos Pge A B sin Acos B cos Asin B A B sin Acos B cos Asin B A B cos

More information

Section 5.1 #7, 10, 16, 21, 25; Section 5.2 #8, 9, 15, 20, 27, 30; Section 5.3 #4, 6, 9, 13, 16, 28, 31; Section 5.4 #7, 18, 21, 23, 25, 29, 40

Section 5.1 #7, 10, 16, 21, 25; Section 5.2 #8, 9, 15, 20, 27, 30; Section 5.3 #4, 6, 9, 13, 16, 28, 31; Section 5.4 #7, 18, 21, 23, 25, 29, 40 Mth B Prof. Audrey Terrs HW # Solutions by Alex Eustis Due Tuesdy, Oct. 9 Section 5. #7,, 6,, 5; Section 5. #8, 9, 5,, 7, 3; Section 5.3 #4, 6, 9, 3, 6, 8, 3; Section 5.4 #7, 8,, 3, 5, 9, 4 5..7 Since

More information

Quantum Nonlocality Pt. 2: No-Signaling and Local Hidden Variables May 1, / 16

Quantum Nonlocality Pt. 2: No-Signaling and Local Hidden Variables May 1, / 16 Quntum Nonloclity Pt. 2: No-Signling nd Locl Hidden Vriles My 1, 2018 Quntum Nonloclity Pt. 2: No-Signling nd Locl Hidden Vriles My 1, 2018 1 / 16 Non-Signling Boxes The primry lesson from lst lecture

More information

Intermediate Math Circles Wednesday, November 14, 2018 Finite Automata II. Nickolas Rollick a b b. a b 4

Intermediate Math Circles Wednesday, November 14, 2018 Finite Automata II. Nickolas Rollick a b b. a b 4 Intermedite Mth Circles Wednesdy, Novemer 14, 2018 Finite Automt II Nickols Rollick nrollick@uwterloo.c Regulr Lnguges Lst time, we were introduced to the ide of DFA (deterministic finite utomton), one

More information

MA123, Chapter 10: Formulas for integrals: integrals, antiderivatives, and the Fundamental Theorem of Calculus (pp.

MA123, Chapter 10: Formulas for integrals: integrals, antiderivatives, and the Fundamental Theorem of Calculus (pp. MA123, Chpter 1: Formuls for integrls: integrls, ntiderivtives, nd the Fundmentl Theorem of Clculus (pp. 27-233, Gootmn) Chpter Gols: Assignments: Understnd the sttement of the Fundmentl Theorem of Clculus.

More information

PHYSICS 211 MIDTERM I 21 April 2004

PHYSICS 211 MIDTERM I 21 April 2004 PHYSICS MIDERM I April 004 Exm is closed book, closed notes. Use only your formul sheet. Write ll work nd nswers in exm booklets. he bcks of pges will not be grded unless you so request on the front of

More information

Chapter 19. Technology

Chapter 19. Technology Chpter 9 Technolog Technologies A technolog is process b which inputs re converted to n output. E.g. lbor, computer, projector, electricit, nd softwre re being combined to produce this lecture. Technologies

More information

5-A5 Using Systems of Equations to Solve Word Problems Alg 1H

5-A5 Using Systems of Equations to Solve Word Problems Alg 1H 5-A5 Using Systems of Equtions to Solve Word Problems Alg 1H system of equtions, solve the system using either substitution or liner combintions; then nswer the problem. Remember word problems need word

More information

MATH20812: PRACTICAL STATISTICS I SEMESTER 2 NOTES ON RANDOM VARIABLES

MATH20812: PRACTICAL STATISTICS I SEMESTER 2 NOTES ON RANDOM VARIABLES MATH20812: PRACTICAL STATISTICS I SEMESTER 2 NOTES ON RANDOM VARIABLES Things to Know Rndom Vrible A rndom vrible is function tht ssigns numericl vlue to ech outcome of prticulr experiment. A rndom vrible

More information

Physics 2135 Exam 1 February 14, 2017

Physics 2135 Exam 1 February 14, 2017 Exm Totl / 200 Physics 215 Exm 1 Ferury 14, 2017 Printed Nme: Rec. Sec. Letter: Five multiple choice questions, 8 points ech. Choose the est or most nerly correct nswer. 1. Two chrges 1 nd 2 re seprted

More information

3.2.2 Kinetics. Maxwell Boltzmann distribution. 128 minutes. 128 marks. Page 1 of 12

3.2.2 Kinetics. Maxwell Boltzmann distribution. 128 minutes. 128 marks. Page 1 of 12 3.. Kinetics Mxwell Boltzmnn distribution 8 minutes 8 mrks Pge of M. () M On the energy xis E mp t the mximum of the originl pek M The limits for the horizontl position of E mp re defined s bove the word

More information

Long-Term Response and Selection limits

Long-Term Response and Selection limits Long-Term Response and Selection limits Bruce Walsh lecture notes Uppsala EQG 2012 course version 5 Feb 2012 Detailed reading: online chapters 23, 24 Idealized Long-term Response in a Large Population

More information

Exercise 5.5: Large-scale log-normal fading

Exercise 5.5: Large-scale log-normal fading Exercise 5.5: Lrge-scle log-norml fding Since the system is designed to hndle propgtion loss of 135 db, outge will hppen when the propgtion loss is 8 db higher thn the deterministic loss of 17 db 135 17

More information

Q1) Explain how background selection and genetic hitchhiking could explain the positive correlation between genetic diversity and recombination rate.

Q1) Explain how background selection and genetic hitchhiking could explain the positive correlation between genetic diversity and recombination rate. OEB 242 Exam Practice Problems Answer Key Q1) Explain how background selection and genetic hitchhiking could explain the positive correlation between genetic diversity and recombination rate. First, recall

More information

Partitioning Genetic Variance

Partitioning Genetic Variance PSYC 510: Partitioning Genetic Variance (09/17/03) 1 Partitioning Genetic Variance Here, mathematical models are developed for the computation of different types of genetic variance. Several substantive

More information

Homework 04. Acids, Bases, and Salts

Homework 04. Acids, Bases, and Salts HW04 - Acids, Bses, nd Slts! This is preview of the published version of the quiz Strted: Feb 21 t 8:59m Quiz Instruc!ons Homework 04 Acids, Bses, nd Slts Question 1 In the reversible rection HCN + H O

More information

2.4 Linear Inequalities and Interval Notation

2.4 Linear Inequalities and Interval Notation .4 Liner Inequlities nd Intervl Nottion We wnt to solve equtions tht hve n inequlity symol insted of n equl sign. There re four inequlity symols tht we will look t: Less thn , Less thn or

More information

NOT TO SCALE. We can make use of the small angle approximations: if θ á 1 (and is expressed in RADIANS), then

NOT TO SCALE. We can make use of the small angle approximations: if θ á 1 (and is expressed in RADIANS), then 3. Stellr Prllx y terrestril stndrds, the strs re extremely distnt: the nerest, Proxim Centuri, is 4.24 light yers (~ 10 13 km) wy. This mens tht their prllx is extremely smll. Prllx is the pprent shifting

More information

Properties of Integrals, Indefinite Integrals. Goals: Definition of the Definite Integral Integral Calculations using Antiderivatives

Properties of Integrals, Indefinite Integrals. Goals: Definition of the Definite Integral Integral Calculations using Antiderivatives Block #6: Properties of Integrls, Indefinite Integrls Gols: Definition of the Definite Integrl Integrl Clcultions using Antiderivtives Properties of Integrls The Indefinite Integrl 1 Riemnn Sums - 1 Riemnn

More information

Outline of lectures 3-6

Outline of lectures 3-6 GENOME 453 J. Felsenstein Evolutionary Genetics Autumn, 009 Population genetics Outline of lectures 3-6 1. We want to know what theory says about the reproduction of genotypes in a population. This results

More information

7.1 Integral as Net Change and 7.2 Areas in the Plane Calculus

7.1 Integral as Net Change and 7.2 Areas in the Plane Calculus 7.1 Integrl s Net Chnge nd 7. Ares in the Plne Clculus 7.1 INTEGRAL AS NET CHANGE Notecrds from 7.1: Displcement vs Totl Distnce, Integrl s Net Chnge We hve lredy seen how the position of n oject cn e

More information

Sexual selection enables long-term coexistence despite ecological equivalence. Local carrying capacity. Effective density of competitors

Sexual selection enables long-term coexistence despite ecological equivalence. Local carrying capacity. Effective density of competitors LETTER doi:.38/nture97 Sexul selection enles long-term coexistence despite ecologicl equivlence Leithen K. M Gonigle {, Rupert Mzzucco 2, Srh P. Otto & Ulf Dieckmnn 2 Empiricl dt indicte tht sexul preferences

More information

AQA Chemistry Paper 2

AQA Chemistry Paper 2 AQA hemistry Pper 2 1.1 A student is plnning n investigtion into how the concentrtion of hydrochloric cid ffects the rte of the rection with mrle chips. Wht is the independent vrile? Tick one ox. (1 mrk)

More information

AP * Calculus Review

AP * Calculus Review AP * Clculus Review The Fundmentl Theorems of Clculus Techer Pcket AP* is trdemrk of the College Entrnce Emintion Bord. The College Entrnce Emintion Bord ws not involved in the production of this mteril.

More information

Diverse modes of eco-evolutionary dynamics in communities of antibiotic-producing microorganisms

Diverse modes of eco-evolutionary dynamics in communities of antibiotic-producing microorganisms In the formt provided y the uthors nd unedited. ULEMENTAY INFOMATION VOLUME: 1 ATICLE NUMBE: 0189 iverse modes of eco-evolutionry dynmics in communities of ntiiotic-producing microorgnisms Klin Vetsigin

More information

Lecture 14 Chapter 11 Biology 5865 Conservation Biology. Problems of Small Populations Population Viability Analysis

Lecture 14 Chapter 11 Biology 5865 Conservation Biology. Problems of Small Populations Population Viability Analysis Lecture 14 Chapter 11 Biology 5865 Conservation Biology Problems of Small Populations Population Viability Analysis Minimum Viable Population (MVP) Schaffer (1981) MVP- A minimum viable population for

More information

Lecture 1 Hardy-Weinberg equilibrium and key forces affecting gene frequency

Lecture 1 Hardy-Weinberg equilibrium and key forces affecting gene frequency Lecture 1 Hardy-Weinberg equilibrium and key forces affecting gene frequency Bruce Walsh lecture notes Introduction to Quantitative Genetics SISG, Seattle 16 18 July 2018 1 Outline Genetics of complex

More information

TUTORIAL PROBLEM SET #4 (WEEK 40/41: PERIOD ENDING OCTOBER 13, 2007)

TUTORIAL PROBLEM SET #4 (WEEK 40/41: PERIOD ENDING OCTOBER 13, 2007) EGI 1313 Mechnics I culty of Engineering nd Applied Science Shwn Kenny, Ph.D., P.Eng. ll 2007 Revision 0 TUTORIAL PROBLEM SET #4 (WEEK 40/41: PERIOD EDIG OCTOBER 13, 2007) The prolem set provides representtive

More information

Logarithms. Logarithm is another word for an index or power. POWER. 2 is the power to which the base 10 must be raised to give 100.

Logarithms. Logarithm is another word for an index or power. POWER. 2 is the power to which the base 10 must be raised to give 100. Logrithms. Logrithm is nother word for n inde or power. THIS IS A POWER STATEMENT BASE POWER FOR EXAMPLE : We lred know tht; = NUMBER 10² = 100 This is the POWER Sttement OR 2 is the power to which the

More information

The graphs of Rational Functions

The graphs of Rational Functions Lecture 4 5A: The its of Rtionl Functions s x nd s x + The grphs of Rtionl Functions The grphs of rtionl functions hve severl differences compred to power functions. One of the differences is the behvior

More information

MATH 144: Business Calculus Final Review

MATH 144: Business Calculus Final Review MATH 144: Business Clculus Finl Review 1 Skills 1. Clculte severl limits. 2. Find verticl nd horizontl symptotes for given rtionl function. 3. Clculte derivtive by definition. 4. Clculte severl derivtives

More information

Phys101 Lecture 4,5 Dynamics: Newton s Laws of Motion

Phys101 Lecture 4,5 Dynamics: Newton s Laws of Motion Phys101 Lecture 4,5 Dynics: ewton s Lws of Motion Key points: ewton s second lw is vector eqution ction nd rection re cting on different objects ree-ody Digrs riction Inclines Ref: 4-1,2,3,4,5,6,7,8,9.

More information

Fundamentals of Analytical Chemistry

Fundamentals of Analytical Chemistry Homework Fundmentls of nlyticl hemistry hpter 9 0, 1, 5, 7, 9 cids, Bses, nd hpter 9(b) Definitions cid Releses H ions in wter (rrhenius) Proton donor (Bronsted( Lowry) Electron-pir cceptor (Lewis) hrcteristic

More information

Student Session Topic: Particle Motion

Student Session Topic: Particle Motion Student Session Topic: Prticle Motion Prticle motion nd similr problems re on the AP Clculus exms lmost every yer. The prticle my be prticle, person, cr, etc. The position, velocity or ccelertion my be

More information

CS 188: Artificial Intelligence Spring 2007

CS 188: Artificial Intelligence Spring 2007 CS 188: Artificil Intelligence Spring 2007 Lecture 3: Queue-Bsed Serch 1/23/2007 Srini Nrynn UC Berkeley Mny slides over the course dpted from Dn Klein, Sturt Russell or Andrew Moore Announcements Assignment

More information

Chapter 17: Population Genetics and Speciation

Chapter 17: Population Genetics and Speciation Chapter 17: Population Genetics and Speciation Section 1: Genetic Variation Population Genetics: Normal Distribution: a line graph showing the general trends in a set of data of which most values are near

More information

Measuring Electron Work Function in Metal

Measuring Electron Work Function in Metal n experiment of the Electron topic Mesuring Electron Work Function in Metl Instructor: 梁生 Office: 7-318 Emil: shling@bjtu.edu.cn Purposes 1. To understnd the concept of electron work function in metl nd

More information

Introduction to Algebra - Part 2

Introduction to Algebra - Part 2 Alger Module A Introduction to Alger - Prt Copright This puliction The Northern Alert Institute of Technolog 00. All Rights Reserved. LAST REVISED Oct., 008 Introduction to Alger - Prt Sttement of Prerequisite

More information

Before we can begin Ch. 3 on Radicals, we need to be familiar with perfect squares, cubes, etc. Try and do as many as you can without a calculator!!!

Before we can begin Ch. 3 on Radicals, we need to be familiar with perfect squares, cubes, etc. Try and do as many as you can without a calculator!!! Nme: Algebr II Honors Pre-Chpter Homework Before we cn begin Ch on Rdicls, we need to be fmilir with perfect squres, cubes, etc Try nd do s mny s you cn without clcultor!!! n The nth root of n n Be ble

More information

MASTER CLASS PROGRAM UNIT 4 SPECIALIST MATHEMATICS WEEK 11 WRITTEN EXAMINATION 2 SOLUTIONS SECTION 1 MULTIPLE CHOICE QUESTIONS

MASTER CLASS PROGRAM UNIT 4 SPECIALIST MATHEMATICS WEEK 11 WRITTEN EXAMINATION 2 SOLUTIONS SECTION 1 MULTIPLE CHOICE QUESTIONS MASTER CLASS PROGRAM UNIT 4 SPECIALIST MATHEMATICS WEEK WRITTEN EXAMINATION SOLUTIONS FOR ERRORS AND UPDATES, PLEASE VISIT WWW.TSFX.COM.AU/MC-UPDATES SECTION MULTIPLE CHOICE QUESTIONS QUESTION QUESTION

More information

Problem Solving 7: Faraday s Law Solution

Problem Solving 7: Faraday s Law Solution MASSACHUSETTS NSTTUTE OF TECHNOLOGY Deprtment of Physics: 8.02 Prolem Solving 7: Frdy s Lw Solution Ojectives 1. To explore prticulr sitution tht cn led to chnging mgnetic flux through the open surfce

More information