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grows larger, you earn still more interest, and the sum grows
                        by escalating amounts each year. The reason is that a fixed   5
                        percentage of a small number makes for a small increase,
                        but the same percentage of a large number produces a large   4
                        increase. Thus, as savings accounts (or populations) become
                        larger, each incremental increase likewise gets larger. Such   3
                        acceleration is a characteristic of exponential growth.  Birds per route
                            We can visualize changes in population size by using    2
                        population growth curves. The J-shaped curve in Figure 3.16
                        shows exponential growth. Populations of organisms increase   1
                        exponentially  unless  they  meet  constraints.  Each  organism
                        reproduces by a certain amount, and as populations get larger,   0
                        there are more individuals reproducing by that amount. If
                        there are adequate resources and no external limits, ecologists   1970  1980   1990     2000    2010
                        theoretically expect exponential growth.                                      Year
                            Normally, exponential growth occurs in nature only when   Figure 3.16 A population may grow exponentially for a time
                        a population is small, competition is minimal, and environmen-  when colonizing an unoccupied environment or exploiting an
                        tal conditions are ideal for the organism in question. Most often,   unused resource. The Eurasian collared dove is currently spread-
                        these conditions occur when the organism is introduced to a new   ing across the North American continent, propelled by exponential
                        environment that contains abundant resources to exploit. Mold   growth. Data from Sauer, J.R., et al., 2011. The North American Breeding Bird
                        growing on a piece of fruit, or bacteria colonizing a recently   Survey, results and analysis 1966–2009. v. 3.23.2011. USGS Patuxent Wildlife
                        dead animal, are cases in point. Plants colonizing regions dur-  Research Center, Laurel, MD.
                        ing primary succession (p. 103) after glaciers recede or vol-
                        canoes erupt may also grow exponentially. In Hawai‘i, many   reached carrying capacity (Figure 3.18). Populations of other
                        of the species that colonized the islands from other locations   European birds that spread across North America in the past,
                        underwent exponential growth for a time after their arrival. One   such as the house sparrow and European starling, have peaked
                        current example of exponential growth in the mainland United   and are today beginning to decline.
                        States is the Eurasian collared dove (see   Figure 3.16). Unlike its   Many factors influence a population’s growth rate and car-
                        extinct relative the passenger pigeon, this species arrived here   rying capacity. For animals in terrestrial environments, limiting
                        from Europe, thrives in human-disturbed areas, and has spread   factors include temperature extremes; prevalence of disease;
                        across North America in a matter of years.           abundance of predators; and the availability of food, water,
                                                                             mates, shelter, and suitable breeding sites. Plants are often
                                                                               limited by amounts of sunlight and moisture and the type of soil
                        Limiting factors restrain                            chemistry, in addition to disease and attack from plant-eating
                        population growth                                    animals. In aquatic systems, limiting factors include salinity,
                                                                             sunlight, temperature, dissolved oxygen, fertilizers, and pol-
                        Exponential growth rarely lasts long. If even a single species   lutants. To determine limiting factors, ecologists may conduct
                        were to increase exponentially for very many generations,
                        it would blanket the planet’s surface! Instead, every popula-
                        tion eventually is constrained by limiting factors—physical,
                        chemical, and biological attributes of the environment that
                        restrain population growth. These limiting factors determine                     Limiting factors:
                        the carrying capacity, the maximum population size of a spe-          Stabilized    - Resource availability
                        cies that a given environment can sustain.                 Carrying   population     - Temperature extremes  CHAPTER 3 • Ev ol u T i on, Bi odiv ER si T y,  A nd Po P ul AT i on E C ology
                            Ecologists use the S-shaped curve in Figure 3.17 to show   capacity  size      - Predators/parasites
                                                                                                           Disease
                        how an initial exponential increase is slowed and eventually                       - Disease
                        brought to a standstill by limiting factors. Called the logistic
                        growth curve, it rises sharply at first but then begins to level
                        off as the effects of limiting factors become stronger. Eventu-
                        ally the collective force of these factors stabilizes the popula-  Exponential growth
                        tion size at its carrying capacity.
                            We can witness this process by taking a closer look at the   Population size
                        data for the Eurasian collared dove population, as gathered by
                        thousands of volunteer birders and analyzed by government
                        biologists through the Breeding Bird Survey, a long-running   Time
                        citizen science project. The dove first reached North America   Figure 3.17 The logistic growth curve shows how popu-
                        in Florida a few decades ago and subsequently spread north   lation size may increase rapidly at first, then grow more
                        and west. Today its numbers are growing fastest in western   slowly, and finally stabilize at a carrying capacity. Carrying
                        areas it has recently reached, and slower in eastern areas where   capacity is determined both by the biotic potential of the organism
                        it has been present for longer. In Florida, it has apparently   and by various external limiting factors.  85







           M03_WITH7428_05_SE_C03.indd   85                                                                                     12/12/14   2:54 PM
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