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Sensitivity Analysis of Rodent Agents' Longevity on Population Size and Time Before Extinction

This memo explores the impact of rodent agents' longevity on the maximum population size and time before extinction. It considers three types of domain heterogeneity and evaluates the effects on population dynamics. The simulation results provide insights into the viability and pullulation of the rodent population.

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Sensitivity Analysis of Rodent Agents' Longevity on Population Size and Time Before Extinction

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  1. MEMO 05 Sensitivity analysis of (i) population max size and (ii) time before extinction to the rodent agents’ longevity parameter and three types of domain heterogeneity. Module: SimMasto0h - Février 2011 – J.Le Fur/J.-E.Longueville

  2. Simulation contextExample: Homogeneous surface, t=239 Children (getting old) Female adult Male adult Reproduction occurs if mature male and female encounter within reproduction season

  3. Two types of landscape heterogeneity Homogeneous test grid (serie name: homogene) Heterogeneous (viz. fields) test grid (serie name: grilleTest) Whole domain simulated

  4. Example of one run : longevity = 153 (about 6 months simulated), homogeneous environment, N0=200) phase with no reproduction extinction (t=580) Parents maturation

  5. Variability of maximum population size and extinction time for differing value of rodent agents’ longevity one run Viability (pullulation) longevity = 160 N0 = 200 incomplete season 5th season 1 season 4th season 3nd season 2nd season 1st season 2 to 5 seasons Threshold longevity where pullulation occurs given a N0=200 Bifurcation, Phase transition

  6. Longevity = 160: Viable/pullulating population Single peak = ?

  7. Viable/pullulating population (cont.): heterogeneous environment longevity:160,tick=1819 longevity:159,tick=1401

  8. Similar envelopes of variation obtained for the two types of landscape : Max population Extinction time No visible effect on maximum population size nor tick of population extinction

  9. Varying domain heterogeneity Homogeneous test grid Spotted (viz. colonies) test grid : validation No visible effect on maximum population size nor tick of population extinction (longevity = 153) Note: more simulation is necessary for the spotted field test case Heterogeneous (fields) test grid Whole field simulated

  10. 17.02.11 - simulation SimMasto_0h – simulation conditions • 1 tick = 1 minute (temporary, in fact 1min assimilated to one day) • REPRO_START_Utick = 91; • REPRO_END_Utick = 305; • ANNUAL_CYCLE_Utick = 365 • MALE = 0; • MALE_SEXUAL_MATURITY = 60; • MALE_SEXUAL_MATURITY_TIME_UNIT = "minute"; // Rattus rattus 75 day • FEMALE = 1; • FEMALE_SEXUAL_MATURITY = 60 • FEMALE_SEXUAL_MATURITY_TIME_UNIT = "minute"; // Rattus rattus 75 day • GESTATION_LENGTH = 21; • GESTATION_LENGTH_TIME_UNIT = "minute"; //"day"; • LITTER_SIZE = 2; • MATING_LATENCY = 0; • MATING_LATENCY_TIME_UNIT = "minute"; • NUMBER_OF_AGENTS = 200; • CELL_WIDTH_UMETER = 4.473; // m.px^-1 Un pixel d'un raster = une cellule d'une matrice • UCS_WIDTH_UMETER = 4.473; // m.cs^-1 Facteur de conversion unité de continuous space => mètres. • SPACE_CELL_SIZE_UCS = 1; // cs.cell^-1 (float) PIXEL_WIDTH_UMETER; • raster_url ="data_raster/grille-test.1a.txt";

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