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Biological Invasions and Herpetology 4/18/13 Chris Thawley

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Page 1: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Biological Invasions and

Herpetology

4/18/13

Chris Thawley

Page 2: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

What are some invasive species?

http://news.discovery.com/animals/videos/animals-jumping-carp-attack-explained.htm

Page 3: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

What is an “Invasive” species?

• Outside its native

range

• Transported by

humans

• Destructive?

• Detrimental?

Exotic? Non-native? Alien?

Page 4: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Why do we care?

• Economic consequences:– >$120 BILLION/year

– Agriculture, forestry, healthcare, fisheries

– Cost of control

• Ecological consequences:– 2nd leading threat to

biodiversity

– Capable of disrupting whole communities

Page 5: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Case Study: Burmese Python

• Native to SE Asia

• Introduced to S.

Florida and ENP

• Probably due to

Hurricane Andrew

• Expanding

population

Page 6: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Python Effects on Community

• Find lots of

incidental past

datasets to study

effects

– No one was

looking to study

effects before

they knew about

problem!

Page 7: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Burmese Pythons in FL

• Pythons

tracked via

radiotransmitter

• Found with

dogs and on

roads

• Very difficult to

count/study in

ENP

Page 8: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Python Patterns

Page 9: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

A little more complexity…

• Rodents may decline

due to python

predation

– BUT may prosper

due to removal of

predators

• Pythons kept in check

in native range by

predation

– Prospects in FL?

Page 10: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Common Characteristics of

Invasive Species

• Generalists

• Quick reproduction/generation time

• Lots of offspring

• Mature quickly

• Less related to native taxa (Strauss et al 2006)

• Aggressive competitors

• Disperse easily

Page 11: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Which groups of

herps might be

most invasive and

why?

Page 12: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

How do Invasions Spread?

• Stowaways

– Cargo

– Vehicles

– People

– Ballast Water

– Feces

• Pet Trade

• Biocontrol Agents

• Deliberate Introduction

Page 13: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Difficulties Facing Invaders

Many factors working against successful

invasions

• Low density

– Hard to find mate

– Stochastic effects

• Low genetic diversity

– Bottleneck

– Inbreeding

http://eattheinvaders.org/

Page 14: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Brown Anole Case Study

• Jason Kolbe (Kolbe et al 2004)

• Brown anole invasion of SE US

Page 15: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Brown Anole Invasion

• Native to Caribbean

• Generalist Lizard

• Relative of Green

Anole

• More

aggressive/larger

• Displace native

anoles

Page 16: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures
Page 17: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Brown Anole Spread

Invasive Range

– More variation

within populations

– Alleles from

different areas of

the native range

mixed in invasive

range

– Newer invasion

sites have higher

diversity

Page 18: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Controlling/Managing Invasions

• Often nearly

impossible

• People may want

invaders

• Killing/removing very

difficult

• By the time presence

noticed, may be too

late

Page 19: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Brown Tree Snake Case Study

• Native to Australia

and Pacific islands

• Introduced to Guam

via airplane during

WWII

• One native snake:

Page 20: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Brown Tree Snakes on Guam

• 1950’s

– First detection

• 1968

– Occupies island

• Late 1960’s

– Bird declines

begin

• 1984

– Most native birds

extinct

Page 21: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Total Annihilation

Page 22: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Attempts to Control Populations

Page 23: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

More Management

Page 24: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Areas Vulnerable to Invasions

Islands

– Hawaii

– Caribbean

– Guam

Disturbed Habitats

– S. Florida

Why?

– Fewer Competitors

– “Unfilled” Niches

– Less chance native

species will be pre-

adapted

– Temperate climate

– Propagule pressure

Page 25: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Invasion as an Opportunity

Each One Is An Incredibly

Large, Unethical Experiment

Page 26: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Why do Invasions Succeed?

• Niche

– The biotic and abiotic conditions under which

an organism can survive and reproduce

• Ecological Release

– The removal of a previously limiting condition

which allows a population to grow

larger/faster or expand its niche

Page 27: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Predicting Invasions

Species distributions

determined by:

• Physiography

• Climate

• Geographic barriers

• Ecology

• Long time-scale

historical processes

Page 28: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Predicting Invasions

Invasive species

distributions also

determined by:

• Location and number

of introductions

• Vectors

• Dispersal time

• Genetic diversity

• Adaptation

?

?

??

?

Kolbe et al 2004

Page 29: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

ContextProblem: Invasions depend on complex

factors which may make predictions difficult

Case Study

– Two species of anurans in Cuba and SE U.S.

Source population is important

– Use ENMs to generate predictions of suitable

habitat and ID source populations

– Use phylogeographic methods to identify

source populations and patterns of diversity

Page 30: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Cuban Treefrog – Osteopilus septentrionalis

•Native to Cuba, Caymans, and Bahamas

• Invasive in FL, Caribbean

•Often associated with human activity

•Major threat to native treefrogs James Harding

Page 31: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Greenhouse Frog – Eleutherodactylus

planirostris

• Native to Cuba

• Invasive in Coastal

Plain, Caribbean,

Hawai’i, Guam

• Threat level probably

low

• Often transported via

nursery plantsJames Harding

Page 32: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

E. planirostris - Invasion History in US

1875

1889

19101939

19441964

Georgia

•Savannah - 1998

•Brunswick Co. – 1998

•Thomasville/Valdosta -

2007

Alabama

•Mobile – 1982

Mississippi - 2004

Louisiana

•SE – 1975

Hawai’i – 1999

Guam - 2003

Page 33: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Creating an ENM

-Select environmental

layers

•Precipitation

•Temperature

-Add point locality data

(GPS, NHC, etc.)

-Run modelling process

(Maxent, etc.)

Page 34: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Maxent

• A machine-learning algorithm working on

the principle of maximum entropy

• Essentially a maximum likelihood

approach to modelling a niche

• Output: a continuous probability surface

representing probability of

occurrence/habitat suitability

Page 35: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

ENM Construction

•Point locality data from field collections

and online databases (GBIF, Herpnet)

•BioClim environmental layers – 10

variables representing temperature and

water availability

•Models created in Maxent with native or

invasive locality data and trained over the

extent of the southeastern U.S. and Cuba

Page 36: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

O. septentrionalis – Invasive Range Model

0.1612

Page 37: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

E. planirostris – Invasive Range Model

0.1612

Page 38: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Sequencing Overview

O. septentrionalis

• 600 bp sequence of

cyt b

• 38 locations in

Cuba and Florida

• 66 individuals

E. planirostris

• 700 bp sequence of

cyt b

• 31 locations in

Coastal Plain

• 69 individuals

•Native range data

from Heinicke et al

2011

Page 39: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Sequencing – O. septentrionalis

• 2 lineages

• 24 total haplotypes

– 8 in FL

– 5 unique to FL

• Pairwise divergence

– 2.9% - FL

– 1% - W. Cuba

– 1.7% - Mainland

Cuba

• ≥ 2 introductions

Page 40: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Sequencing – E. planirostris

• 4 lineages in Cuba

• 2 lineages in SE US

• 5 haplotypes in SE US

• Pairwise divergence

– 0.3 – 1.1%

across Cuba

– 0.3% - SE US

• ≥ 2 introductionsHeinicke et al 2011

Page 41: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Source Populations – O. septentrionalis

Page 42: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Source Populations – E. planirostris

Page 43: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Results Summary

• Both species show phylogenetic structure in native but not invasive ranges

• Both methods identify the same source populations

• Source populations are in the north of Cuba and close to Havana, suggesting that human trade may be a vector

Page 44: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Future Spread?

• E. planirostris seems to be approaching northern limit of range but may become continuous across the southern Gulf Coast

• O. septentrionalis may continue expanding northward along Atlantic Coast, but spread along the Gulf Coast seems limited

• Is adaptation taking place?

Page 45: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Is Physiological Adaptation

Occurring?

Thawley, Unpublished DataPhysiology

A

B

C

A

A

B

B

C

C

Page 46: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Invasion and Climate Change2009

Page 47: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Predicted Range of Burmese Pythons

(Current/2010)

Predicted Range of Burmese Pythons (2100)

Page 48: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Cane Toad Invasion and Evolution

• Introduced

intentionally in 1935

• Biocontrol of cane

beetle

• Huge effect on

many animals in Oz

• Uneradicable

Page 49: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Evolution of Predators

Page 50: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Evolution of Cane Toads

• Physiology

• Dispersal

• Morphology

– Phillips et al 2006

– Older populations

have shorter legs

– Invasion has sped

up

Page 51: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Evolution of Cane Toads• Spatial Sorting –

– Shine et al 2011

Page 52: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Red Imported Fire Ant Invasion

• Predicted to occupy

>50% of Earth’s

surface

• Major human and

agricultural pest

• Introduced in Mobile,

AL in 1920s

• Significant threat to

native species

Alex Wild

alexanderwild.com

Page 53: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Fence Lizard/Fire Ant System

• Both predator and prey of lizards

• Do not alter habitat use in presence of fire ants

Page 54: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures
Page 55: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Fence Lizard/Fire Ant System

Uninvaded Lizards

• Freeze response to

predators

Invaded Lizards

• Increase in flee

behaviors

• Increase in hind

limb length

Juvenile Lizards

• Act like invaded

Behavior mediates survival via anti-predator adaptations

Langkilde, 2009, Ecology

Page 56: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Fence Lizard/Fire Ant System

Invaded Lizards

• Increase in twitch

behaviors

• Removes ants

• BUT

– Predators such as

birds and snakes?

Behavior mediates survival via anti-predator adaptations

Langkilde, 2009, Ecology

Page 57: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Research Questions

How do fire ants exert pressure on fence

lizard populations?

•Direct Effects: Predation

•Indirect Effects: Growth, Body Condition, Behavioral Changes

Page 58: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Treatments

• Adults vs. Juveniles

– Vulnerability to venom

– Prey differences

– Behavior

• Invaded vs. Uninvaded populations

• Fire ant Presence vs. Absence

Page 59: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Enclosures

• 520 m2, Aluminum flashing

• Supplemental cover/perch objects

• Natural habitat, plenty of food

Page 60: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Experimental Setup

• Transplant juvenile

and adult lizards – 6

sites

• 2 weeks in paired

enclosures

• Fire ants removed

from two enclosures

• Lizards observed

daily for survival

No Fire Ants

Invn=10

UnInvn=10

Fire Ants

Invn=10

UnInvn=10

N=240

Page 61: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Summary of Exps

• Survival

– Daily observations → parametric survival

analysis

• Body Cond/Growth

– Measure SVL and Mass before and after

enclosures

– Body Condition

Page 62: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Results – Survival Analysis - Juveniles

• Uninvaded lizards have significantly

lower survival

Page 63: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Results – Survival Analysis - Adults

• Fire ants decrease survival in adults

• Difference based on origin?

Page 64: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Survival Conclusions

• No difference in

absolute survival

between adults and

juveniles

• Juveniles – Effect

of Origin

• Adults – FA cause

mortality

– Origin effect?

Page 65: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Growth/Body Condition

Differences in Mass, SVL, and Body Condition

• GLMs

• Body Condition as residuals from OLS regression of ln-

transformed values

Before placement in enclosures

• Juveniles

– Lower size and body condition at uninvaded sites

• Adults

– No differences

• No differences by sex

• No differences for survival

Page 66: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Results-Growth-Juveniles

• Juveniles in FA

enclosures grow

less

• Lower mass and

SVL gain in FA

enclosuresA

Mass:

•FA: F=15.392, p<0.001

•Inv: F=21.329, p<0.001

SVL:

•FA: F=15.229, p<0.001

•Inv: F=10.312, p=0.002

ABB

AB

A

BB

C

Page 67: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Results-Growth-Adults

• Interaction effect

for Mass

Difference

• No change in SVL

(no surprise)

Mass:

•FA*Inv: F=7.275, p=0.011

SVL:

•NS

Page 68: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Results-Body Condition

Adults

• Interaction effect

for difference in

body condition

Juveniles

• No sig effect

Body Condition Difference:

•FA*Inv: F=5.434, p=0.025

Page 69: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Immediate vs. Delayed Consequences

• Predation Trade-offs:

– Adults: Avoidance behaviors alter susceptibility to different predators

– Juveniles: avoiding fire ant consumption reduces envenomation and energy intake

• Body Condition:

– Overwintering Survival

– Reproductive Output

Page 70: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Conclusions

• FA cause increased mortality in adult lizards

• FA reduce body condition in juvenile lizards– May recover quickly in non-

FA environment

• Interaction between origin and FA in adults– Escape behavior: exposed

to predation?

– Change in diet?

Page 71: Biological Invasions and Herpetology...–Vulnerability to venom –Prey differences –Behavior • Invaded vs. Uninvaded populations • Fire ant Presence vs. Absence Enclosures

Future Work• Arthropod surveys

– Does prey community

vary with FA presence?

• Fecal samples

– Do lizards eat FA and

how many?

– Do lizards eat more/ less

in presence of FA?

• Extensions:

• Stress

• Population modeling

• Epigenetics