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Structure and Parameterization of an Agent-based
Manatee Model for Southwestern Florida

Brad Stith1, Dean Easton2, Jim Reid2, Lynn W. Lefebvre2, and Don DeAngelis3

1AScI Corp. under contract for U.S.G.S.

2U.S. Geological Survey,
Florida Integrated Science Center, Sirenia Project
412 NE 16th Ave., Room 250, Gainesville, FL 32601

3University of Miami, Miami, Florida

Presented at the Manatee Population Ecology and Management Workshop,
1-4 April 2002, University of Florida, Gainesville, Florida.
 

Abstract

We are developing a spatially explicit, individual-based model of the Florida manatee (Trichechus manatus latirostris) in southwestern Florida. This model is part of the Across Trophic Level System Simulation program (ATLSS) that will be used to predict and assess the potential effects of altered hydrologic regimes on manatees in South Florida. Two "agents" will be simulated in the model; humans who alter the flow of freshwater in the study area, and manatees who respond to the alterations in the freshwater flow. Virtual manatees assess GIS map layers of water depth, sea grass beds, fresh water sources, and water temperature to influence their behavior. Analysis of telemetry data from GPS and ARGOS tags helps calibrate the model with movement parameters (e.g. speed), pathways (provided by network diagrams), home range classes, habitat preferences, time budgets, and behavioral rules.  Our current focus is on manatees using the Ten Thousand Islands and western coastal areas of Everglades National Park.

Study Area

Everglades study area - click to enlarge

Everglades study area

Objectives

Ten Thousand Island study area - click to enlarge

Ten Thousand Island study area

  • Develop a spatially explicit, agent-based manatee model.
  • Incorporate detailed GIS layers such as water depth, submerged aquatic vegetation, freshwater, and water temperature.
  • Parameterize the model using a combination of detailed (15 min.) GPS telemetry data and coarser (6 hour) Argos data.
  • Program manatees as intelligent agents with behavior that simulates real manatees.
  • Use the model to predict changes in manatee abundance and distribution associated with different hydrologic restoration scenarios.

Methods

GPS locations for Magan, Nov 2001 - click to enlarge

GPS locations for Megan, Nov 2001

Model Structure

Behavioral Rules

Telemetry

Manatee with a radio tracking transmitter tag attached - click to enlarge

Habitat

Seagrasses - a primary food source for Manatee - click to enlarge

Behavior

Manatee aggregate - click to enlarge (different photo)
  • Avoidance of water deeper than 6 meters.
  • Movement pathways follow networks (memory maps) of nodes (destination points) and arcs (travel corridors).
  • Variable-length, multi-day foraging bouts (3 - 7 days) followed by short-duration movements to freshwater drinking source.
  • Foraging concentrated in offshore seagrass beds and inshore bays with healthy SAV.
  • Cool season movement into inshore thermal refugia.

Finite State Machine Approach

  • Simulated manatees will switch among different states during which time their behavior is directed at achieving a certain goal (e.g. finding fresh water, food, etc.).
  • Transitions matrices will be used in a monte carlo fashion to determine which states are entered upon achieving a goal.

Memory Maps – Graph Theory

Finite State Machine Approach
  • Each individual has a unique network of preferred feeding, resting, drinking, and thermoregulating sites. These sites are connected by travel corridors.
  • Maternal transmission of memory maps to offspring.
  • Repeat visits to favored foraging areas to feed on new vegetative regrowth.
  • Preferential use of select travel corridors.
  • Inter-annual site fidelity to inshore thermal refugia during cool season.
  • Occasional exploratory forays which add new sites to memory map.
Memory Maps - Graph Theory - click to enlarge

Parameterization

Habitat Use

  • During warm weather months, manatees spend very little time in canals and rivers; most time is spent in offshore areas and inshore bays where rich foraging areas exist.
  • During cool weather months, manatees spend much more time in canals and rivers which serve as thermal refugia; much less time in offshore areas and inshore bays where rich foraging areas exist.
Habitat Use - click to enlarge

Movement Among Habitat Types

  • Occasional rapid, directed movements for many kilometers from feeding grounds into freshwater rivers and canals, presumably to drink. Except during cold weather, residence times are generally short in such areas.
  • Multiple days spent continuously in offshore areas and inland bays, presumably feeding on subaquatic vegetation and resting.
  • Navigation through rather featureless mangrove island travel corridors may occur during day or night.
Movement Among Habitat Types - click to enlarge

GPS locations for Santina, Aug 2001

Speed and Directionality of Movements

  • Most movements are slow (less than 200 meters/hour, as measured between 15-30 min. GPS readings), representing feeding or resting.
  • Some movements are more rapid (1 km/hour or greater), representing directed movements to new areas.
  • Most turn angles relative to previous bearing are small (less than 30 degrees), indicating substantial directionality or tendency to move in a nonrandom direction.  This high directionality is consistent with an animal with good spatial memory.

Home Range Analysis

  • Home ranges were estimated by measuring minimum and maximum range along a curvilinear reference line that follows the primary offshore feeding ground.
  • Some variability exists among 6 animals with 1 year of Argos data:  Leslie and Santina preferentially head south of Round Key, Grace and Megan preferentially head north, while Anna and Surfer have larger home ranges that encompass both directions. Round Key is a major entry point into Port of the Isles, a preferred source of fresh water.

Individual Variability

Speed and Directionality of Movements - click to enlarge
Home Range Analysis - click to enlarge
  • Size and position of home range – both offshore and inshore.
  • Different memory maps/networks.
  • Preference for foraging offshore vs. inshore bays.
  • Variable cold tolerance affects length of stay in thermal refugio.
  • Frequency of use of freshwater sites.
  • Propensity to switch freshwater sites.

Demographic Parameters

  • Mortality and fecundity of different age-stage classes will be incorporated into the model to simulate population dynamics.
  • Information on vital rates for southwest Florida will be supplemented with estimates from better-studied areas.
  • Environmental stochasticity due to prolonged cold spells will affect mortality.
  • Catastrophic mortality due to red tides and hurricanes will be considered.

Validation Methods

  • Face validation by biologists viewing real-time map displays.
  • Comparison of real and simulated coarse-scale seasonal home range estimates.
  • Comparison of real and simulated fine-scale foraging movements.
  • Comparison of aerial survey distribution data with snap-shot of simulated population.
  • Comparison of population trend analysis based on transect surveys and demographic modeling.

Alternative Restoration Scenarios

Simulations will be run to investigate differences in distribution and abundance of manatees under different conditions.

  • Restoration with seasonally pulsed water input at a few point sources.
  • Restoration with seasonally pulsed water input at multiple point sources.
  • Restoration with even sheet flow over broad areas.
  • Drought years.
  • High rainfall years.

Acknowledgements

Support for this project was provided by U.S.G.S. Place Based Funds. Logistical support and data were provided by Ten Thousand Island National Wildlife Refuge, Everglades National Park, Rookery Bay National Estuarine Research Reserve, and Florida Marine Research Institute.

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