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Name: Class: Honors Biology Period: Chapter 44 Population Ecology Exercise 1 Estimating Population Density and Size (44.1) This exercise will allow you to work with the concepts of population density, dispersion pattern, and sampling. The map on this page represents a meadow on the edge of the city of Mapleton. It is surrounded by developed and farmed land but has remained relatively undisturbed. Developers plan to build a subdivision that would cover the meadow. The Mapleton Open Space Alliance would like the meadow to remain as public open land. They note that the dwarf hawthorn, an uncommon shrub, is found in the meadow. It is considered a “sensitive species” by the state conservation department. The city council has asked for a construction delay until the status of the shrub is determined. You have been sent to determine the density of the hawthorn population in the meadow, as well as that of a deer mouse that may also be present. Use the map of hawthorn distribution on the next page for your survey, and answer the following questions. The area of the meadow is 16.8 hectares. (A hectare is a metric unit of area equal to about 2.5 acres, so the meadow totals about 42 acres.) This is too big an area to count every shrub, so you will have to look at sample plots. On the ground, this would be done with ropes and measuring tapes. You can choose random samples by merely dropping a penny on the map, drawing a circle around it, and counting the “shrubs” inside. On the scale of the map, the area covered by a U.S. penny equals 0.2 hectare. 1. Take ten samples. How many hectares does this total? _______ 2. What is the total number of shrubs in the ten samples? _______ 3. What is the density of hawthorns in shrubs per hectare? _______ 4. What is the total number of hawthorns in the meadow? _______ 5. How could you make your count more accurate? Why not do this? 6. Look at the map again. What is the pattern of dispersion of the shrubs? What might cause this pattern of dispersion? You would also like to know the number of deer mice in the meadow. For this, it will probably work best to use the mark-recapture method. 7. Why does the mark-recapture method work better for mice than the method used to count the plants? 8. One night you trap 40 mice, mark them, and let them go. Two nights later, you again trap 40 mice, and ten of them are marked. What is the total number of mice in the meadow? _______ 9. What is the population density of mice in the meadow, in animals per hectare? _______ 10. What do you have to assume about the mice and your method for your results to be valid? Could you be wrong? Why or why not?

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Page 1: Name: Class: Honors Biology Period€¦ · Name: Class: Honors Biology Period: Chapter 44 Population Ecology Exercise 1 – Estimating Population Density and Size (44.1) This exercise

Name: Class:HonorsBiology Period:

Chapter44PopulationEcologyExercise1–EstimatingPopulationDensityandSize(44.1)

Thisexercisewillallowyoutoworkwiththeconceptsofpopulationdensity,dispersionpattern,andsampling.ThemaponthispagerepresentsameadowontheedgeofthecityofMapleton.Itissurroundedbydevelopedandfarmedlandbuthasremainedrelativelyundisturbed.Developersplantobuildasubdivisionthatwouldcoverthemeadow.TheMapletonOpenSpaceAlliancewouldlikethemeadowtoremainaspublicopenland.Theynotethatthedwarfhawthorn,anuncommonshrub,isfoundinthemeadow.Itisconsidereda“sensitivespecies”bythestateconservationdepartment.Thecitycouncilhasaskedforaconstructiondelayuntilthestatusoftheshrubisdetermined.Youhavebeensenttodeterminethedensityofthehawthornpopulationinthemeadow,aswellasthatofadeermousethatmayalsobepresent.Usethemapofhawthorndistributiononthenextpageforyoursurvey,andanswerthefollowingquestions.

Theareaofthemeadowis16.8hectares.(Ahectareisametricunitofareaequaltoabout2.5acres,sothemeadowtotalsabout42acres.)Thisistoobiganareatocounteveryshrub,soyouwillhavetolookatsampleplots.Ontheground,thiswouldbedonewithropesandmeasuringtapes.Youcanchooserandomsamplesbymerelydroppingapennyonthemap,drawingacirclearoundit,andcountingthe“shrubs”inside.Onthescaleofthemap,theareacoveredbyaU.S.pennyequals0.2hectare.

1. Taketensamples.Howmanyhectaresdoesthistotal? _______2. Whatisthetotalnumberofshrubsinthetensamples?_______3. Whatisthedensityofhawthornsinshrubsperhectare? _______4. Whatisthetotalnumberofhawthornsinthemeadow? _______5. Howcouldyoumakeyourcountmoreaccurate?Whynotdothis?

6. Lookatthemapagain.Whatisthepatternofdispersionoftheshrubs?Whatmightcausethispatternofdispersion?

Youwouldalsoliketoknowthenumberofdeermiceinthemeadow.Forthis,itwillprobablyworkbesttousethemark-recapturemethod.

7. Whydoesthemark-recapturemethodworkbetterformicethanthemethodusedtocounttheplants?

8. Onenightyoutrap40mice,markthem,andletthemgo.Twonightslater,youagaintrap40mice,andtenofthemaremarked.Whatisthetotalnumberofmiceinthemeadow?_______

9. Whatisthepopulationdensityofmiceinthemeadow,inanimalsperhectare?_______10. Whatdoyouhavetoassumeaboutthemiceandyourmethodforyourresultstobevalid?Couldyoube

wrong?Whyorwhynot?

Page 2: Name: Class: Honors Biology Period€¦ · Name: Class: Honors Biology Period: Chapter 44 Population Ecology Exercise 1 – Estimating Population Density and Size (44.1) This exercise

Name: Class:HonorsBiology Period:

Exercise2–InvestigatingSurvivorshipCurves(44.2)Checkyourunderstandingoflifetablesandsurvivorshipcurvesbymatchingeachphraseontherightwithatermontheleft.Answersmaybeusedmorethanonce.A.Lifetable 1. Graphofpercentaliveattheendofeachageinterval.

B.Survivorshipcurve 2. Tabulationofdeathsandchanceofsurviving

C.TypeIsurvivorship 3. Mostyoungdie,butafewlivetooldage

D.TypeIIsurvivorship 4. Originallyusedtosetlifeinsurancerates

E.TypeIIIsurvivorship 5. Characteristicofmosquitoes

6. Deathrateconstantoverlifespans

7. Characteristicoflizardsandsquirrels

8. Mostoffspringlivealonglifeanddieofoldage

9. Characteristicofhumansandmanyotherlargemammals

Exercise3-PopulationGrowthModelsdevisedbyecologistsdescribetwokindsofpopulationgrowth.Exponentialgrowthisdescribedbythisequation:G=rN.Therateofgrowth,G,dependsonN,thesizeofthepopulation,multipliedbyr,thepopulation’sintrinsicrateofincrease.Intrinsicrateofincrease,r,iscalculatedbysubtractingthedeathratefromthebirthrate.Exponentialgrowthisunregulated.Thebiggerthepopulation,thefasteritgrows.Thiscannotbesustainedforlonginrealpopulations,butitisinterestingasatheoreticalpossibility.Populationsoffastreproducerslikebacteriaandinsectscangrowatnear-exponentialratesforshortperiods.Calculateandgraphexponentialgrowthofapopulationofaphidsforwhichr=40%perweek.RememberthatG=rN.Ifthereare10aphidstostart,thenumberofaphidsaddedbytheendofthe%irstweek(G)isequaltorN,or0.4x10,whichequals4.Sothetotalpopulation(N)afteroneweekis10+4=14.Roundofffractions.

Week Newaphids TotalAphidPopulation

1 4 14

2

3

4

5

6

7

8

9

10

Page 3: Name: Class: Honors Biology Period€¦ · Name: Class: Honors Biology Period: Chapter 44 Population Ecology Exercise 1 – Estimating Population Density and Size (44.1) This exercise

Name: Class:HonorsBiology Period:

1.Graph-the-aphid-population-(N)-as-a-function-of-time-(in-weeks).--Population-size-was-10-at-time=0.-Label-the-axes-of-the-graph.

2.How-would-you-describe-the-shape-of-the-graph?

3.Could-this-kind-of-growth-continue-inde%initely?-Why-or-why-not?

Page 4: Name: Class: Honors Biology Period€¦ · Name: Class: Honors Biology Period: Chapter 44 Population Ecology Exercise 1 – Estimating Population Density and Size (44.1) This exercise

Name: Class:HonorsBiology Period:

Exercise4–LimitingFactorsPopulationislimitedbybothdensity-dependentanddensity-independentenvironmentalfactors.Density-dependentanddensity-independentfactorsaffectbirthratesanddeathratesindifferentways.Statewhethereachofthefollowingwordsorphrasesrelatesmoretodensity-dependent(DD)factorsortodensity-independent(DI)factors. 1. Havemoreeffectwhenthepopulationislarger 2. Havelesseffectwhenthepopulationissmaller 3. Effectdoesnotdependondensityofpopulation 4. Competitionforfood 5. Fire 6. Predation 7. Stressproducedbycrowding 8. Competitionfornestsites 9. Storms 10. Drought 11. Disease 12. Heatandcold 13. Habitatdisruptionbyhumans 14. Causepopulationstostabilizeinsize,presumablynearcarrying

capacity 15. Causerapidpopulationgrowthfollowedbyunpredictablecrashes 16. Seemtocauseboomandbustcyclesamongpredatorsandprey 17. Limitthesnowshoeharepopulation 18. Limitthelynxpopulation 19. Effectsofthenonlivingenvironment 20. Effectsofotherorganisms 21. Reduceclutchsizeassongsparrowpopulationgrows 22. Responsibleforlemmingboomandbustpopulationcycles

Page 5: Name: Class: Honors Biology Period€¦ · Name: Class: Honors Biology Period: Chapter 44 Population Ecology Exercise 1 – Estimating Population Density and Size (44.1) This exercise

Name: Class:HonorsBiology Period:

Exercise5–LifeHistoryPatternsNaturalselectionshapesdifferentlifehistorytraitsunderdifferentenvironmentalconditions.Somepopulationsexhibitr-selection,andothersK-selection.Comparethesecontrastinglifehistoriesbycompletingthischart.