dispersion, spatial behaviour and burrows of the...

87
Dispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana (Fabricius) and Ocypode ceratophthalma (Pallas), (Decapoda, Brachyura, Ocypodidae)

Upload: others

Post on 08-Apr-2020

1 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Dispersion, Spatial Behaviour and Burrows of the

ghost crabs Ocypode cordimana (Fabricius) and

Ocypode ceratophthalma (Pallas), (Decapoda,

Brachyura, Ocypodidae)

By: Louise Raggett

Page 2: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Abstract

Page 3: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Acknowledgments

I am particularly grateful to Martyn Drabik-Hamshare, to whom this studies’ data collection was a combined effort (see Drabik-Hamshare, 2010). I would also like to thank my supervisor John Allen for the opportunity to go to Bird Island and conduct this study and for his support during the preparation of this document. Further thanks go to Dr. Colin Little whose enlightenment in the habits and ecology of Ocypode, helped me decide upon this studies focus.

Page 4: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Abbreviations

H.W.M. High water markC.S.R. Complete spatial randomness

Page 5: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Contents

1. Introduction........................................................................................................................................8

1.1 Dispersion and ecological significance..........................................................................................8

1.2 Environmental factors.................................................................................................................10

1.3 Population density......................................................................................................................10

1.3.1 Seasonal variations in population........................................................................................10

1.3.2 Temperature effects.............................................................................................................11

1.3.3 Human disturbance..............................................................................................................11

1.4 Ocypode zonal distribution.........................................................................................................11

1.4.1 Beach exposure....................................................................................................................12

1.4.2 Sympatric species.................................................................................................................13

1.4.3 Distribution and crab size.....................................................................................................13

1.5 Ocypode burrows: function and distribution of morphotypes....................................................14

1.5.1 Zonal distribution and burrow morphotype.........................................................................14

1.6 Social and behavioural implications of Ocypode Burrows...........................................................16

1.6.1 Interactions- agonistic and non-agonistic............................................................................16

1.6.2 Aggregative behaviour.........................................................................................................17

1.6.3 Female centred competition................................................................................................18

1.6.4 Use of burrows by reproductively active males...................................................................18

1.6.5 Pyramid building as sematectonic signals...........................................................................19

1.6.6 Pyramid building in enforcing male territories.....................................................................20

1.6.7 Visual, acoustic and vibrational communication..................................................................21

1.7 Summary.....................................................................................................................................23

2. Aims of Study....................................................................................................................................24

3. Method.............................................................................................................................................25

Page 6: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

3.1 Study site....................................................................................................................................25

3.2 Decapod species found at the site..............................................................................................26

3.3 Choice of beach for sampling......................................................................................................30

3.4 Mapping burrows in a ‘point pattern’.........................................................................................32

3.5 Data collection for transects of Beach A.....................................................................................32

3.6 Mapping of Nearest Neighbours for transects 2,3 and 4............................................................35

3.7 Activity data collection................................................................................................................38

3.7 Observations of adult O. ceratophthalma...................................................................................38

4. Analysis of Data.................................................................................................................................40

4.1 Population distribution and density............................................................................................40

4.1.1 Population density...............................................................................................................41

4.1.2 Crab activity.........................................................................................................................41

4.2 Dispersion pattern of Ocypode burrows.....................................................................................41

4.2.1 Frequency distributions among quadrats............................................................................41

4.2.2 Nearest Neighbour Analysis.................................................................................................43

4.3 The relationship between crab size and distance to neighbours................................................44

4.3.1 Size of burrow effect on nearest neighbour.........................................................................44

4.4 Dispersion of different juveniles and adults............................................................................45

5. Results...............................................................................................................................................45

5.1 Beach morphology......................................................................................................................45

5.2 Population Distribution...............................................................................................................47

5.3 Density of burrows......................................................................................................................49

5.4 Population estimate....................................................................................................................50

5.5 Zonal distribution........................................................................................................................51

5.6 Burrows types.............................................................................................................................52

Page 7: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

5.7 Crab activity................................................................................................................................54

5.8 Dispersion pattern: using frequencies in quadrats......................................................................56

5.9 Dispersion of Ocypode burrows: using nearest neighbour distances..........................................58

5.10 Dispersion pattern of different size categories and mature males............................................59

6. Discussion.........................................................................................................................................64

6.1 Differences between O. cordimana and O. ceratopthalma.........................................................65

6.3. Distribution of burrows..............................................................................................................67

6.3.1 Variation of burrow density along the beach.......................................................................67

6.3.1 Distribution of different burrow sizes..................................................................................68

6.3.2 Distribution of juvenile versus adult burrows......................................................................68

6.3.3 Variation up the beach.........................................................................................................69

6.3.4 Burrow morphology.............................................................................................................69

6.4 Dispersion of burrows.................................................................................................................70

6.4.1 Burrow defence....................................................................................................................70

Page 8: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

1. Introduction

Ghost crabs of the genus Ocypode are the most widespread members of Ocypodidae,

occurring on all major oceans, (Daumer et al, 1963; George and Knott, 1965, Mclachlan and

Brown, 2006). They are a dominant feature of sub-tropical and tropical sandy beaches,

(Barrass, 1963; Taylor, 1968; Chan et al, 2006), and mostly appear to have crepuscular and

nocturnal activity, (Cott, 1930; Hagasaka, 1935; Barrass, 1963; Hughes, 1966; Hill and Hunter,

1973; Shuchman and Warburg, 1978; Strachan et al, 1999). Ocypode are primarily

predacious, (Gibson and Hill, 1947; Hughes, 1966; Wolcott, 1978; Strachan et al, 1999), but

are also scavengers, and deposit feeders, (Hagasaka, 1935; Hughes, 1966; Jones, 1972; Trott,

1988; Strachan et al, 1999). Due to their abundance, relative size, extensive bioturbation

activities and omnivory, Ocypode perform a key function in sandy shore ecosystems,

(Wolcott, 1978; Chan et al, 2006; Tureli et al, 2009). As all Ocypode individuals burrow

regardless of size or sex, (De, 2005), they are ideal organisms to study dispersion and space

related behaviours, (Lighter, 1977).

1.1 Dispersion and ecological significanceStudying the dispersion of organisms has considerable, wide-ranging ecological significance,

(Moore and Chapman 1986; Dale 1999; Southwood and Henderson, 2000). The dispersion

pattern of a population is defined here as the spatial distribution of individuals within their

population’s geographical range at any one point in time, (Browns and Orians, 1970). In a

continuum of dispersion patterns, three categories are generally recognised. Dispersion may

be Regular, where individuals are more evenly spaced than expected by chance, aggregated,

Page 9: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

where individuals are closer than expected by chance, and random, when there is an equal

probability of any individual occupying any point in space irrespective of the position of

others, (Southwood and Henderson, 2000; Fowler et al, 1998). However, simply identifying a

deviation from random is of little ecological interest, (Dale, 1999). Instead, the discernment

of the proximate and ultimate factors behind the observed spatial behaviour is the major

focus of most studies.

Dispersion is scale-dependant, (Dale, 1999) and is a function of both environmental factors,

such as resource availability, which dictate where animals are distributed at a large scale

perspective, and behavioural factors, which dictate the spacing of conspecifics usually at a

finer scale, (Pearson, 1949, Dale, 1999, Fero and Moore, 2008). The latter include factors

such as social units, (Brown and Orians, 1970), species specific individual distances, (Hediger,

1955), agonistic interactions such as territorial behaviour, (Maher and Lott, 1995), and social

dominance, (Hemerijic, 2000), which are in turn impacted by environmental factors, (Fero

and Moore, 2008). In crustaceans, many studies focus upon either environmental or

behavioural impacts, (e.g. Shuchman and Warburg, 1978 versus Lighter, 1977), however both

should be considered, (Fero and Moore, 2008) . Studies on Ocypode in general have been

relatively few compared to their relatives the fiddler crab in the genus Uca, (Popper et al,

2001), and many gaps in our knowledge remain.

Page 10: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

1.21 Environmental factorsfactors impacting Ocypode crabs and their burrows

Studying the spatial distribution of Ocypode indirectly through their burrows requires an

understanding of their ecology and the environmental factors which affect them, (Lighter,

1977; Barrass, 1967, Alberto and Fontoura, 1999; Turra et al, 2005). As most species inhabit

heterogeneous habitats, from a large-scale perspective an aggregated dispersion pattern is

most common, (Moore and Chapman, 1986), especially on coastal shores where there are

strong environmental gradients, (Benson, 2002). Previous studies provide only a limited

picture of what principal factors determine density, zonal distribution and burrowing

behaviour of Ocypode.

1.3 Population density The population densities of Ocypode species are variable, with large differences observed

even between neighbouring populations, (Frey and Mayou, 1971; Chakrabati, 1981).

However, identifying the primary factors determining densities is challenging due to the

dynamic nature of beaches, (Jarmillo et al, 2000), and their multiple confounding factors

(Quijon et al, 2000). Little is known about the impact of resource availability, (Lucrezi et al,

2008), but high cannibalism rates appear to reduce juvenile density, (Cowles, 1908; Williams,

1965).

1.3.1 Seasonal variations in populationRecruitment, (Strachan et al, 1999), winter dispersal (Tureil et al, 2009) and growth (Wolcott,

1978) affect seasonal variations dramatically. Beach type and exposure appear to impact

Page 11: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

density, but not consistently intraspecifically, (Jones,1972; Jarmillo and Mclachlan, 1993;

Dugan and Hubbard, 1996; Chan et al, 2006).

1.3.2 Temperature effectsTemperature tends to dictate ghost crab burrowing activity, (Shuchman and Warberg, 1878),

which generally occurs between temperatures of 16 and 30˚C, (Christoff, 1986; Weinstein,

1998).

1.3.3 Human disturbanceMany studies suggest human disturbance from pedestrians and vehicles is a predominant

factor affecting density of different Ocypode species, (Hughes, 1966; Frey and Mayou, 1971;

Chakrabati, 1981; Barros, 2001; Blankesteyn, 2006; Maccarone and Matthews, 2007; Moss

and Mcphee, 2006; Neves and Benvenuti, 2006; Schlacher et al, 2007; Lucrezi et al, 2008;

Hobbs et al, 2008; Brook et al, 2009; Magalhaes et al, 2009; Yong and Lim, 2009). These

results suggest Ocypode species would therefore make good biological indicators, although

densities can increase around food refuse, (Hill and Hunter, 1973; Steiner and Leatherman,

1981), while hot weather and short term human trampling can lead to temporarily plugged

and imperceptible burrows, reducing burrow counts erroneously (Lucrezi et al, 2009). Tide-

dominated beaches also have too many confounding factors impacting density as they are

particularly heterogeneous habitats, (Turra et al, 2005).

Page 12: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

1.4 Ocypode zonal distributionGhost crabs usually burrow in distinct zones on beaches. Most studies suggest Ocypode

classically burrow in just above the H.W.M., (Grubb, 1971; Jones, 1972; Hartnoll, 1975;

Burggren and McMahon, 1988), contrary to the belief of De, (2005). For example, O.

ceratophthalma, (Barrass, 1963; Hughes, 1966; Jones, 1972), O. urvillei, (Burggren and

McMahon, 1988), O. saratan, (Clayton, 2001), O. macrocera, ,(Burggren et al, 1988), O.

cursor, (Tureli et al, 2009), O. ryderi (Vannini, 1980b), and O. platytarsis, (Naidu,

1951Burggren et al, 1988). Some species have adapted to supralittoral areas, (O. aegyptiaca,,

(Magnus, 1960), O. gaudichaudii, (Quijon et al, 2001), O. jousseaumei, (Clayton, 2005) whilst

others even extend into sandy soils inland, e.g. O. cordimana, (Horch, 1975; Stoddart, 1984),

O. kuhlii, (Macnae and Kalk, 1962; Jones, 1972), O. Africana, (Strachan et al, 1999), O.

albicans, (Pearse et al, 1942) and O. quadrata, (Borradaile, 1903; Pearse et al, 1942; Hill and

Hunter, 1973; Strachan et al, 1999; Alberto and Fontoura, 1999; Clayton, 2005). However

there are intraspecifc differences in Ocypode zonal distributions as well as density, occurring

spatially, temporally and between different sexes and ages. At this coarse scale, (Brown and

Orians, 1970), dispersion appears to be a reflection of burrowing conditions and crab

physiology rather than social interactions.

1.4.1 Beach exposureBeach exposure also appears to affect zonal distribution, (Jarmillo et al, 2000). Indeed during

storms, zonal distributions can shift landwards, (Alberto and Fontoura, 1999; Neves and

Benvenuti, 2006; Hobbs et al, 2008). For intertidal species, distribution may be determined

by exposure times between tides, as distributions often shift in sync with annual tidal

Page 13: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

changes (Barrass, 1963; Jones, 1972). Hughes, (1966) suggests for O. ceratophthalma, these

changes are indirect, reflecting shifts in sandpacking, suggesting crab distribution is primarily

determined by suitable burrowing substrate. Contrary to Takahasi (1935), Ocypode burrows

do not reach the water table to renew respiratory water like most fiddler crabs, (Chakrabati,

1981; Strachan et al, 1999; Chan et al, 2006). Instead crabs regular moisten gills in the sea,

(Williams, 1965), and can absorb capillary moisture from sand via setae found on their

abdominal segment, (Hatnoll, 1973) and third and fourth ambulatory legs, (Wolcott, 1976).

O. cursor at least, appear to be sensitive to very specific moisture levels, (Warburg and

Shuchman, 1978) and studies have found distribution is often largely determined by the

water gradient, (Lucrezi et al, 2009), with shifts closer to the sea observed during summer,

(Shuchman and Warburg, 1978; Lucrezi et al, 2009; Tureli et al, 2009). This is a contrast to

temporal stability observed in species adapted to dry sand areas such as O. gaudichaudii,

(Quijon et al, 2001). Many studies indicate that density decreases away from the sea, (Hill

and Hunter, 1973; Tureli et al, 2009) and it appears this may be linked to increasing height

from the water table and decreased capillary water, (Turra et al, 2005).

1.4.2 Sympatric speciesThe impact of sympatric species has never been examined, perhaps due to the great

variation in zonation compared to rocky shores. However, both O. cursor and O. laevis

appear to be competitively displaced by the larger O. africana, (Strachan et al, 1999) and O.

cordimana, (Fellows, 1975) respectively.

Page 14: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

1.4.3 Distribution and crab sizeThere is a clear trend that as crabs increase in size, their distribution migrates landwards, as

found in O. quadrata, (Duncan, 1986; Frey and Mayou, 1970; Hill and Hunter, 1973, Fisher

and Tevesz, 1979; Turra et al, 2005), O. ceratophthalma, (Hayasaka, 1935; Chakrabati, 1981,

Chan et al, 2006), and O. cursor, (Shuchman and Warburg, 1978; Strachan et al, 1999; Tureli

et al, 2009). As juveniles have proportionately smaller gills, (Chakrabati, 1981) and loose

water faster than adults, (Eshky, 1985), this may be a function of physiological competence,

(Fisher and Tevesz, 1979; Chakrabati, 1981; Chan et al, 2006). However, some studies have

observed no such trend, even within the same species, (Barrass, 1963; Fellows, 1975;

Maccorone and Matthews, 2007; Seike and Nara, 2008; Yong and Lim, 2009). This suggests

the relationship between physiology and distribution is not clearcut. (see Drabik-Hamshare,

2010 for review).

1.5 Ocypode burrows: function and distribution of morphotypesSeveral factors that impact burrow morphology and thus burrowing behaviour should be

considered in the context of Ocypode distribution. Burrowing is typical of macro-

invertebrates inhabiting soft sediments, (Katrak et al, 2008) and is essential to Ocypode

survival, (Wolcott, 1984). Burrows provide several functions, (Berti et al 2008; Tureil et al,

2009) including a refuge from predators, (mainly seabirds), (Cowles, 1908), and a

“homebase”, (Browns and Orians, 1970) which feeding, breeding and territorial behaviour

orientate around, (Tureil et al, 2009). As Ocypode crabs are ‘quasi-terrestial’, their gills must

remain moist (De, 2005) and thus burrows also provide a refuge from surface temperatures,

Page 15: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

(Chan et al, 2006), a supply of moisture, (Barrass, 1963), and a plugged air column to breathe

during tidal submersion, (De, 2005).

1.5.1 Zonal distribution and burrow morphotypeOcypode burrow shape varies intraspecifically and studies have found distinct zonal

distributions of different burrow ‘morphotypes’. Although morphotypes vary among

populations and beach types, (e.g. Chakrabati, 1981), generally it is found that there is a

landward transition from shallow, vertical unbranched tubes to increasingly deeper, sloping,

Y shaped burrows, representing the letters IJUY, (Frey and Mayou, 1970; Allen and

Curran, 1972; Hill and Hunter, 1973; Shuchman and Warburg, 1978; Vanini, 1980a,

Chakrabati, 1981; Chan et al, 2006). Similar transitions have been seen in other burrowing

crustaceans, (Perez-Chi et al, 2005; Li et al, 2008; Berti et al, 2008), although other

Ocypodidae such as Uca species tend to have consistently, simple ‘J’ shaped burrows,

(Koretsky et al, 2002; Lim, 2006). Increased depth may reflect a changing watertable,

(Strachan et al, 1999; Tureli et al, 2009) or sediment layer level, (Borradaile, 1903; Barrass,

1963), whilst burrow slope is likely to be a function of crab weight, substrate consistency,

(Fellows, 1966), and beach slope, (Duncan, 1986). This transition in increasing complexity

often coincides with an increase in crab size, (Frey and Mayou, 1970; Hill and Hunter, 1973;

Lighter, 1977; Chakrabati, 1981; Chan et al, 2006). It is thought that juveniles usually dig

simple, shallow tubes as their burrows are less permanent as they must often wet their gills

at sea, and as they grow larger and become more terrestrial, burrows are more permanent,

allowing deeper, complex burrows with added functions in the form of chambers and

secondary branches, (Chakrabati, 1981; Chan et al, 2005) which may be associated with

Page 16: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

copulation, (Milne and Milne, 1946), and/or provide a refuge against up-wash, (Chakrabati,

1981) or predators, (Cowles, 1908). Indeed the temporary burrows of other decapods are

often shallow, single tubes, (Braithewait and Talbot, 1972), compared to the complex

galleries of species with permanent burrows, (Green, 2004).

However, it appears that both the size of the crab and their sub-environment, affect burrow

shape, as size increases are not always correlated with this landward burrow shape

transition, (Seike and Nara, 2008), and often sharp transitions occur between zones rather

than sizes, (Hill and Hunter, 1973; Chakrabati, 1981). Irrespective of age, burrowing

behaviour may be affected by temperature, grain size and packing, slope and sand moisture,

(Chakrabati, 1981). Interestingly, the suggestion that ghost crabs subject to tidal action

maintain pressure equilibrium between external hydrodynamics and internal capillarity by

making their burrow larger, with added branches and curves during a single diel tidal cycle,

contradicts the findings of previous studies drastically, (De, 2005).

1.6 Social and behavioural implications of Ocypode BurrowsThe social behaviour of Ocypode has not been studied in great detail, excepting perhaps the

behaviour of O. saratan males, O. ceratophthalma and O. laevis, (Linsenmair, 1963; Lighter,

1977). Many studies are observational and this is associated with the difficulty in observing

the behaviour of these crabs without disturbing them, (Clayton, 2005). The general focus has

been on Ocypode communication and mate choice which have implications for spacing.

Page 17: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Although all Ocypode individuals require a burrow for their survival, (Lighter, 1977), burrows

may be either transitory or permanent and maintained, and many ‘wanderers’ can

temporarily lack a shelter, (Wolcott, 1978; Strachan et al, 1999).

1.6.1 Interactions- agonistic and non-agonisticGenerally non-agonistic interactions appear minimal, (Hughes, 1966; Lighter, 1977), whereas

defensive or agonistic interactions are typical of communal decapods. Many wandering crabs

actively compete with residents for burrows and digging space, e.g. in O. ceratophthalma,

(Jones, 1972; Hughes, 1973; Lighter, 1977; Brooke, 1981), O. gaudichaudii, (Schober and

Christy, 1993), O. laevis, (Lighter, 1977), O. saratan, (Linsenmair, 1967), O. jousseamei, O.

rotundata and O. platyarus, (Clayton, 2005). Interactions are generally ritualised, (Schone,

1968), like many in the genus Uca, (Altevogt, 1957; Crane, 1958). Lighter (1977) found that as

crabs developed, not only did their sand disposal behaviour get more complex, but so did

their defensive behaviours, with added behavioural repertoires, ‘pushing’ and ‘grappling’

with chelae in O. ceratophthalma and ‘pushaside’, in O. laevis, being added to ‘chase’ and

‘threat’ behaviour observed in juveniles.

1.6.2 Aggregative behaviourWandering crabs often aggregate at the water’s edge before seeking a burrow, (Vannini,

1976; Wolcott, 1978; Eshky, 1985; Trott, 1988; Strachan et al, 1999; Tureli et al, 2009). This is

possibly to forage an unidentified food source, (Strachan et al, 1999) but parallels the

seemingly aimless wandering stage exhibited by soldier crabs, (Cameron, 1966). This

behaviour has clear social implications, and despite aggregating, individuals maintain

individual distances between conspecifics, (Clayton, 2005), similar to that seen during

Page 18: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

foraging behaviour, (Wolcot, 1978). Such behavioural spacing appears, however, to be

overridden when food sources are concentrated, (Hughes, 1966; Lighter, 1977).

Burrows appear to be maintained if they are not naturally damaged often, (Hughes, 1966;

Vannini, 1980a). For example O. ceratophthalma individuals subject to tidal action and

burrow collapse tend to have temporary burrows (Hughes, 1966), whereas supratidal

individuals maintain burrows for at least 10 days, (Hughes, 1966). It is not known whether

temporary residency has an effect on social interactions, but from studies on other crabs,

(Schembri, 1981), reduced agonistic interactions seem likely and is supported by the

observation that few competitive interactions are apparent in O. quadrata, (Clayton, 2005).

These have temporary burrows and prefer to takeover abandoned burrows, (Fimpel, 1975).

In fiddler crabs, long lived burrows can lead to complex social interactions, for example

neighbour recognition, (Detto et al, 2006) and territorial coalition, (Backwell and Jennions,

2004).

1.6.3 Female centred competitionSome behavioural studies focus their attention on sexually mature males, which show strong

burrow defence behaviour, (Linsenmair, 1963). Male Ocypode individuals encounter

receptive females unpredictably in time and space due to their highly mobile nature and

infrequent matings, (Christy, 1987). Females also do not appear to require a suitable

incubation burrow that they cannot provide easily for themselves, unlike most Uca females,

(Hughes, 1966). Therefore Ocypode males have evolved ‘female centred competition’, a

mating strategy where males attract and defend females, (Christy, 1987). This is rare in

Page 19: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

decapods and found only in the family Ocypodidae, (Wada, 1981, 1983, 1984; Christy et al,

2001).

1.6.4 Use of burrows by reproductively active malesThe basis of reproductive activities is the burrow, from which the male ‘advertises’ himself to

females, (Christy, 1987) and in which copulation usually occurs, (Netto et al, 2007).

These burrows are not part of the spectrum of burrow shapes described in 1.1.5, but spiral

tightly in the direction of the handedness of the crab, as a function of digging posture

(Barrass, 1963), and differ from the spiral burrows of Uca dug as predator defences, (Basan

and Frey, 1977). Some studies appeared to have overlooked these inter-sexual differences,

(Barrass, 1963; Hughes, 1966) or concluded no sex differences were apparent due to low

female sample sizes, (Chakrabati, 1981; Chan et al, 2005). However, it seems these burrows

are dug and defended by males of O. ceratophthalama,(Farrow, 1961; Fellows 1966; Lighter,

1977; Hughes, 1973), O. saratan, (Linsenmair, 1967; Eshky, 1985), O. kuhlii, (Jones, 1972), O.

jousseaumei, (Clayton, 2005) and O. gaudichaudii, (Schoeber and Christy, 1993). Some

species such as O. occidentalis and O. quadrata have been observed in surface matings,

(Hughes, 1973) and do not have spiral burrows.

Although copulations have remarkably never been witnessed, (Clayton, 2005), males and

females with post-copulation evidence have been found, (Linsenmair, 1967). The androgenic

gland is responsible for eliciting spiral burrow construction behaviour in O. ceratophthalama,

(Lighter, 1977) and due to its cyclic activity, (Thampy and John, 1970; Payen, 1972), such

behaviour appears to be synchronised so that it peaks when tides are lowest (Lighter, 1977).

Page 20: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Although juveniles often dispose excavated sand in fan shapes, (thought to decrease burrow

conspicuousness), (Hughes, 1966; Jones, 1972; Clayton, 2005) and females and non-

reproductively active males in loose, inconspicuous piles, (Lighter, 1977, Hughes, 1973),

these active males construct “pyramid” structures.

1.6.5 Pyramid building as sematectonic signalsOcypode construct ‘pyramid’ structures which appear to act as sematectonic signals, (Wilson,

1975). These pyramidal structures are similar to those built by many males of other species,

as they play no role in the care for eggs and young, (Linsenmair, 1973). These include the

pillars, (Christy, 1988a), chimneys, (Wada and Murata, 2000), mudballs, (Burford et al, 2001),

hoods, (Zucker 1981; Clayton, 1998), shelters, (Zucker, 1974), and barricades, (Wada, 1994),

built by 17 Uca species, (Burford et al, 2001). Similar to many of Uca sand structures,

(Christy, 1988a, 1988b, 2001; Muramatsu, 2010), the pyramids function as highly developed

forms of signals for mate attraction, obviating the need for an active display, (Wilson, 2000).

These signals are only for long distance attraction, (Linsenmair, 1967), possible only in such

flat, featureless habitats as beaches and tidal flats, (Kitaura et al, 2002; Takedo, 2005).

Pyramids appear to be analogous to the long distance signal ‘hoods’ constructed by male

Uca musica, (Christy et al, 2001) and may similarly attract females though both landmark

orientation behaviour, (Herrnkind, 1983) and optical conspicuousness (Zeil and Ak-Mutairi,

1996). Pyramids may be ‘honest’ signals signifying male quality as males do appear to aim for

the largest pyramids which are clearly energetically costly, (Linsenmair, 1967) however the

signal strength of such ‘displays’, (krebs and Davis, 1993), would have to have little within-

male variation compared to inter-male variation and evidence that females select males with

Page 21: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

large pyramids, to increase reproductive fitness would have to be shown, (Burford et al,

2001).

Pyramids are also important ‘sign-stimuli’ in colony formation by stimulating other

reproductively active males to dig pyramids close by. They also enforce other males to

construct their own spiral/pyramid complexes at a minimum 134cm distance apart, acting as

‘petrified display signals’, and allowing males to maintain active territories, (Linsenmair,

1967). This may be why pyramids are often built earlier than the rest of the population

during daylight hours, allowing visual signals to be strong, (Hughes, 1966). Indeed a

nocturnal population of O. saratan appeared to lose the signal function of pyramids,

(Linsenmair, 1967).

1.6.6 Pyramid building in enforcing male territoriesThe role of pyramids in enforcing male territories and maintaining neighbour distances is

similar to the sand structures of many other Uca species, (Oliveira et al, 1998; Muramatsu,

2010) as well as the mounds built by Ilyopax pingi, (Wada et al, 1994). Whether the pyramids

reduce inter-neighbour aggression like many large structures, (Zucker, 1974; Clayton, 1987;

Wada, 1994) is unclear, but displacement by dominant intruders does occur. Interestingly

these conflicts and displacements are nearly always between crabs of the same handedness,

(Linsenmair, 1967), of which there is usually a 1:1 ratio in Ocypode, (Barrass, 1963;

Linsenmair, 1967; Eshky, 1985; Strachan et al, 1999). Unless there are large size

discrepancies, the owner also usually wins, (Linsenmair, 1967) probably due to a prior

residency effect, found in many conflicts between burrowing crustaceans, (Peeke et al, 1995;

Jennions and Backwell, 1996; Takahashi et al, 2001).

Page 22: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

1.6.7 Visual, acoustic and vibrational communication

Other than the structural signals built by males, Ocypode crabs exhibit various acoustic, vibrational

and visual behaviours which appear to be intraspecific signals, (Clayton, 2008, Horsch and Salmon,

1969). The function of these have not been conclusively identified, (Popper et al, 2001), partly due to

the inability to elicit the natural behaviours during manipulations, (Clayton, 2005).

Several behaviours are clearly agonistic, one being the universal ‘threat’ posture taken up by

ghost crabs during defensive interactions, (Hughes, 1966; Lighter, 1977; Brooke, 1981;

Kuriharaetal, 1989). The carapace is tilted vertically, with the merus held sideways, and the

chelae vertically, (Lighter, 1977), characteristic of semi-terrestrial crabs, (Schone, 1968).

Brooke, (1981) suggests this is classic threat behaviour, where size is accentuated, much like

hair raising seen in mammals.

Acoustic and or vibrational signals have had comparatively less research in decapods in

general, (Popper et al, 2001). Sounds produced by Ocypode species are species specific and

include ‘rapping’, where both chelae drum the ground, (Horch and Salmon, 1969),

‘stridulation’, where stridulatory teeth on the major chelae are rubbed against the crab’s

plectrum, (Clayton, 2005) and ‘ tamping’, where sand in patted using chelae and inwardly

flexed dactylii, (Warburg and Shuchman, 1979). Many studies tentatively suggest these

signals are used by crabs to interact with neighbours, (Alcock, 1892; Cott, 1929; Crane, 1941;

Hughes, 1966; Horch and Salmon, 1972;Vannini, 1980a). Clayton (2005) suggests rapping in

O. jousseamei is a signal to advertise the crabs territorial presence and increases

indiscriminately at the sighting of any specie or sex. Such ‘advertising signals’ are in fact

common, in insects, (Dumontier, 1963) and anurans, (Wells, 1977). Stridulation is a close

Page 23: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

range signal, quickly attenuating due to its higher frequency and is thought to be associated

with inter-male burrow defence, (Clayton, 2005).

Some studies suggest claw waving and acoustic/ vibrational signals are produced mainly by

males, with peaked activity coinciding with lunar cycles suggesting they play a role in female

attraction, (Barrass, 1969; Imafuku et al, 2001; Popper et al, 2001). Waving is a widespread

signal in Uca to attract females, Imafuku et al, 2001), and has also been observed in O.

ryderii, (Vannini, 1976, 1980a), O. stimpsoni, (Wada, 1978; Imafuku et al, 2001), O.

gaudichaudii, (Wright, 1968) and O. platytarsus, (Clayton, 2001, 2008). Also similar to certain

Uca species, (Altevogt, 1959; Salmon and Stout, 1962; Müller, 1989), these are combined

with auditory ‘rapping’ in O. stimpsoni, (Clayton, 2008). O. platytarsus have perhaps the most

developed displays involving complex rapping with stridulation and even dances, (Clayton,

2008). Ocypode populations which lack pyramids appear to utilise acoustic signals more

frequently , e.g. O. stimpsoni, O. macrocera and O. platytarsus, (Clayton, 2001; Imafuku et al,

2001), whilst species observed in surface matings display little burrow advertisement

signalling at all, (Horch and Salmon, 1969).

1.7 Summary

Although recent studies are increasing our understanding, (Clayton, 2008), more research is

clearly required to understand these communicative behaviours before their impact on

conspecifics spacing in Ocypode can be understood, as has been done extensively in many

Uca species, (Crane, 1966; Salmon and Atsaides, 1968; Latruffe et al, 1999). The same is true

Page 24: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

for the impact of environmental factors as discussed previouslyabove. A good starting point

is to identify a population’s dispersion pattern at different spatial scales, (Dale, 1999) as this

indicates whether potential negative interactions are occurring between conspecifics

(Connell, 1962; MacArthur and Connell, 1966Lighter, 1977) and whether the environment is

homogenous or heterogeneous, (Brown and Orians, 1970; Piou and Feller, 2009). and such

will be the focus of this study.

Page 25: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

2. Aims of Study

Despite recent interest in their potential as biological indicator species, there is a general lack of

knowledge on the ecological and social factors implicated in the distribution and abundance of these

organisms. The main aim of this study was therefore to examine the dispersion pattern of active

ghost crab burrows found on a sandy beach on Bird Island, in the Seychelles, to gain an insight into

both their social nature and the impact of the environment upon their burrows and burrowing

behaviour. In association, this study also aimed to investigate whether densities and morphotypes of

burrows varied on the beach, and as the size of a crab is likely to have both social and physiological

implications, the impact of crab size, determined indirectly from burrow diameter, upon spacing,

dispersion and burrow morphology were also examined. Burrows were indistinguishable between

two overlapping species, O. ceratophthalma and O. cordimana, and therefore similar to many

Ocypode studies, the study aims were not specific to a particular species. Consequently the daytime

activities of each species were recorded to identify any species-specific ecological differences.

3. Method

3.1 Study siteThis study was carried out on a low lying, reef derived sand cay in the Seychelles, figure 1,

called Bird Island, (previously known as Île aux Vaches), currently 1.4km2 in size. The climate

is seasonal tropical with a mean temperature of 28°C, (Walsh, 1984). The study took place

over a period of nine days at the beginning of the NW monsoon period where most rainfall

occurs. Humans only began to have a significant impact on the island in the early 20 th

Page 26: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

century when bird guano extraction from Bird’s sooty turn colony began, shortly followed by

a coconut plantation, (Feare, 1979). Today the island is a managed conservation resort with

a small permanent human population, (Brook et al, 2009).

Figure 1 Central Seychelles showing position of Bird Island in the north. (from Hill et al, 2002).

3.2 Decapod species found at the siteFour species of Decapods were observed on the island during the study, colour plate 1. Two

individuals of Geograpsus grayi (purple nipper) were observed in the islands centre and

Coenobita rugosa hermit crabs were also noticed at the tops of beaches.

On the beaches, only two ghost crabs were observed; Ocypode ceratophthalma, found up to

20m inland; and surprisingly Ocypode cordimana, which rarely extends from its inland

habitat in to beach areas, (Taylor 1968, 1971). O. cordimana colouration varied considerably,

Page 27: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

from a dark purple to a pale buff morph, as found by Grubb, (1971) on Aldabra. Ocypode

juveniles were undistinguishable, being without pigment or horns until maturity, and were

highly cryptic on the white sands. The low species diversity on the beaches is made up for by

the large ghost crab population sizes, observed across the Seychelles islands, (Taylor, 1971).

Colour plate 1

a) Ocypode cordimana, Purple morph, b) O. cordimana buff morph, c) Ocypode ceratophthalma, d)juvenile ghost crab of unknown species, e) Geographus grayi, f) Coenobita rugosa. (a, d-f taken by author/co-worker whilst b and c were taken by Chapman also on Bird Island:http://planetchapman.net/main.php/v/2008/Seychelles/Bird/DSC_9697.JPG.html)

a)

Page 28: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

b)

c)

Page 29: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

d)

e)

Page 30: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

f)

3.3 Choice of beach for samplingAlthough only one beach could be effectively sampled, all beaches on the island were

observed. Large differences in morphology and crab distribution were noticed, table 1.

Beach A was chosen for the study, having many burrows to sample, few tourists, even width

and a sheltered location, figure 2. According to Feare, (1979), there is a cycle of erosion and at the

time study this would have meant beach A in particular had net deposition. However annually, net

erosion is occurring at a rapid rate at that side of the island, (Pers. Comm. with island staff).

Figure 2: Arial view of bird island and its beaches (appear blue in photo so are outlined in black for clarity). Beach A was selected for the site of study (shown in yellow).

Page 31: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Table 1: Initial observations of crab activity on different beaches illustrated in Figure 1 .

A. 16m wide, large numbers of crab burrows of different sizes with even coverage across beach

although higher numbers on left side.

B. Too windy (burrows filled with sand). Very wide foreshore. Similar crab burrows patterns to A.

C. 10m wide (narrower to the East). Burrow numbers much lower, seemingly as wind stronger. Slope

also too steep for burrows to be permanent.

D. 8m wide, even steeper. Choked with dead trees suggesting recent erosion inland- made data

collection impossible. Interestingly many crabs, but only large individuals with few small burrows

evident.

E. Shallow, 11-14m wide. No crabs were seen and few burrows except at beach top, (mostly small to

medium sized). Few scattered pyramids.

F. Shallow, 18m wide. Large berm near top where slope was downwards towards vegetation. Long

line of pyramids just above swash limit and a few on berm. Many males were visable building,

although few juveniles were seen. Beach was good to sample however unfortunately too far from

site of stay.

Page 32: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

3.4 Mapping burrows in a ‘point pattern’Using photographs to map burrow positions (Heywood and Edwards, 1961; Henson, 1961)

was not feasible. Mapping burrows in a ‘point pattern’ gave the best opportunity for detailed

analysis of spatial distribution, (Diggle, 2003; Illian et al, 2008). The method enables one to

distinguish between the two ‘negative/positive’ forms of aggregated dispersion, (Dale,

1999). Such data analyses form an entire subsector of statistics, used extensively in

phytosociological studies, (Dale, 1999, Kenneth and Looney, 1985).

Beach A was chosen for sampling. Similar studies have used a single large transect, (Lighter,

1977). However four replicate transits of beach A were thought necessary to compensate for

local beach variation.

3.5 Data collection for transects of Beach ATransect width was chosen as 10m so that few nearest neighbours would be outside the

transect. Transects were plotted with a compass and strings perpendicular to the sea at

equal distances along the beach.. These began 1.5 m from the vegetation and continued

until the HWM was reached, figure 3. This was as very few burrows were dug in the

foreshore and these were all temporary.

Figure 3: Diagram of beach and the different zones. Four 10m wide transects placed at intervals of 205m across beach (approximately 680m in length) in the foreshore. Red box shows approximate area when activity of crabs was measured.

A. 16m wide, large numbers of crab burrows of different sizes with even coverage across beach

although higher numbers on left side.

B. Too windy (burrows filled with sand). Very wide foreshore. Similar crab burrows patterns to A.

C. 10m wide (narrower to the East). Burrow numbers much lower, seemingly as wind stronger. Slope

also too steep for burrows to be permanent.

D. 8m wide, even steeper. Choked with dead trees suggesting recent erosion inland- made data

collection impossible. Interestingly many crabs, but only large individuals with few small burrows

evident.

E. Shallow, 11-14m wide. No crabs were seen and few burrows except at beach top, (mostly small to

medium sized). Few scattered pyramids.

F. Shallow, 18m wide. Large berm near top where slope was downwards towards vegetation. Long

line of pyramids just above swash limit and a few on berm. Many males were visable building,

although few juveniles were seen. Beach was good to sample however unfortunately too far from

site of stay.

Page 33: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

The first transect was divided into and mapped in 1m2 quadrats and x,y coordinates for each

burrow were noted. The largest and smallest diameters of entrances were measured with

vernier callipers as an indirect measurement of resident crab carapace length; a strong,

linear relationship consistently found in Ocypode including in O. ceratophthalma, (Fellows,

1966; Lighter, 1977; Chan et al, 2006) and O. cordimana, (Moss and Mcphee, 2006).

Direction of burrow entrance, steepness, (Vertical, sloped or coiled) were also recorded.

Emergence holes, (Barrass, 1963) and abandoned burrows were precluded. Distinction

between burrows of O. cordimana and O. ceratophthalma, was difficult as expected (Seike

and Nara, 2008). Further notes such as presence of oval shaped mouth and pyramid were

recorded and beach characteristics including berms, vegetation and beach slope.

The first transect was fully mapped following but did not span the entire zone due to

mapping time constraints.

Page 34: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Figure 4: Diagram showing the method for transect 1 where contiguous quadrats were mapped. As for all transects it was positioned in the foreshore of the beach 1.5m from vegetation and ending at the upper limit of the swash. This was done three times. Nearest neighbours outside the transect area were counted to negate the problem of delimited area of study (Dale 199; Sinclair 1985)

There is a general recognition that Ocypode burrows are inhabited by one individual, (Milne

and Milne, 1946; Wolcott, 1978; Quijón et al, 2001) so density was first estimated for each

zone (berm or flat) by counting the number of active burrows, a method used frequently in

ghost crab studies, (Barros, 2001; Lucrezi et al, 2008; Yong and Lim, 2009). Randomly

selecting a sample of burrows using numbered flags, (Pielou, 1969) was found to be

unfeasible. Therefore, using a calculator, random coordinates were chosen by finding an X

and a Y coordinate along the transect’s length and width. From this point the nearest

‘reference’ burrow was found and the distance between measured to calculate its

Page 35: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

coordinates, figure 5, a method known as T-square sampling, (Waite, 2000). The distance

and compass direction to five nearest neighbours were measured, 5 being so that different

spatial scales could be measured, (Thompson, 1956; Dale, 1999

Using the distances and direction from the reference burrow, the coordinates of the

neighbouring burrows could be calculated using triangulation, figure 4. This method was

independently designed for this study however is in fact used similarly by botanists, (Dale,

1999) although accuracy has been found to be somewhat low, compared to the method

used to plot reference burrows, (Mosby, 1959). So that a better comparison could be made with

transect 1, this same method was applied to the mapped data (random selection of reference

burrows and their neighbours), although using a buffer zone of 1m. This set of data will be referred

to as transect 1a.

3.6 Mapping of Nearest Neighbours for transects 2,3 and 4The three replicates transects were sampled using a ‘short-cut’ nearest neighbour technique

(Diggle, 2003) and mapped by triangulation, Figure 5.

Page 36: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Figure 5: Mapping of transects 2, 3 and 4. a) Position on beach, b) Up close detailed view. B is the 10m string plotted across the transect at a randomly found height, in which a random width, C, can be found. A is the nearest burrow to C, and P the distance between. The coordinates (X, Y) for burrow A are thus (X)= C and (Y)= B +/-P. Trigonometry was used to calculate the coordinates (x,y) for the five nearest neighbouring burrows such as E, using; A’s coordinates, direction to neighbours, α (measured as the degrees off N), and the distance, Q, to A.

a)

b)

CB

Page 37: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Figure 6: Calculation of coordinates, (x,y) for neighbouring burrows, (examples). The corresponding orientation of the right angle triangle for each neighbour meant different equations were needed

(see table 2 for entire list) depending on the number of degrees of N.

A) y= Y-Q(COS(α+64)) B) y= Y+Q(SIN(α-26)) C) y= Y+Q D) y= Y+Q(COS (α-116)) x= X-Q(SIN(α+64)) x= X-Q(COS (α-26)) x= X x= X+Q(SIN(α-116))

Page 38: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Table 2: Trigonomic equations used to calculate neighbouring burrow coordinates, (x,y), where Y and X are the coordinates for the reference burrow, and α is the direction to the neighbouring burrow, measured in degrees off North (N).

Degree’s off N to neighbouring burrow

y X

0° Y-Q(SIN26) X-Q(COS(26))0° - 25° Y-Q(COS(α+64) X-Q(SIN(α+64))26° - 115° Y+Q(SIN(α-26)) X-Q(COS (α-26))116° Y+Q X117° - 205° Y+Q(COS (α-116)) X+Q(SIN(α-116))206° Y X+Q207° - 295° Y-Q(SIN(α-206)) X+Q(COS(α-206))296° Y-Q X297° - 360° Y-Q(COS(α-296)) X-Q(SIN(α-296))

3.7 Activity data collectionA section of beach A, (red boxed area in figure 3), was patrolled every hour in a total of 9

slots throughout the day, from 9:15 to 12: 15 and 15:15 to 18:15. The number of adult O.

cordimana and O. ceratophthalma and undetermined juvenile ghost crabs were noted in

three areas: the backshore, the foreshore and the transition zone where vegetation grows in

a sandy area for approximately 20m inshore. The same walk was made through each area, in

the same time period. Throughout the study this area was being pruned of Casuarina

bushes, an activity that appeared to expose large amounts of detrital food for O.

ceratophthalma but not O. cordimana.

3.7 Observations of adult O. ceratophthalma At night, adult (fully horned and pigmented) O. ceratophthalma came out of their burrows en

masse and moved into the transitory zone between the beach and inland area to forage.

Page 39: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Densities appeared particularly high, (5 crabs m-2), possibly due to Casuarina pruning activities

which appeared to unearth food for the crabs. Individuals, away from their burrows, could be

caught with fishing nets, and handedness and sex ratios examined, (growth and sex differences were

examined by Drabik-Hamshare, 2010). Capture occurred in the inland area where activity area was

measured, figure 3, and although not truly random, crabs were chased until caught so as to ensure

no bias towards slower crabs. No juvenile Ocypode were found in this area. Marking carapaces

allowed re-caught individuals to be identified; although the population was so open and re-caught

individuals too few for a mark, release, recapture analysis. Crabs sex, carapace and horn colours

were noted and horns, large and small chelipeds and carapace width and diameter were

measured using vernier callipers, figure 7, for around 12 individuals each night.

Figure 7: Example of how author measured crab chelae. Measurements of horns were from the top of the eye to horn tip and carapace width was measured from the widest points and length was measured from between the crabs eyes.

Page 40: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

4. Analysis of Data

The analysis of data collected from burrows held three assumptions; that ‘a single burrow

represents the position of a single crab’, ‘burrow diameter represents the carapace length of

inhabitants’, and that ‘burrows represent the position of crabs active such that a sample of

the population frozen in space and time’. These are considered valid for reasons given in

previous sections.

Transects usually took two days to cover, and mapping (once formulae had been corrected)

revealed few errors suggesting new holes were seldom made or lost during the timescale of

the data collection. Many holes were partly narrowed in one dimension so that the widest

diameter was used to indicate size of carapace (Area=(Widest burrow diameter/ 2)2 x π) as

used by Barrass, (1963).

4.1 Population distribution1 and density The size distribution of burrows in each transect zone was plotted using burrow diameter.

Any individuals sampled twice were excluded. The numbers of juveniles and adults between

transects were analysed using a chi square test of independence. O. ceratopthalama and O.

cordimana generally reach sexual maturity is 33mm (Haley, 1973; Lighter, 1977), and 30mm,

(Jackson et al, 1991) in carapace length respectively. Therefore burrows less than 30mm

wide were considered to be dug by non-sexually mature ‘juveniles’ and those 30mm or

greater by mature ‘adults’. As in reality, burrow size is not accurate to the mm, (Fellows,

1966; Lighter, 1977; Chan et al, 2006), these represent only approximate estimations.

1 The term ‘population’ is used in the results section, however it is important to remember this study examined two populations collectively due to lack of discrimination between O. cordimana burrows and O. ceratophthalma burrows and that this term is therefore somewhat redundant.

Page 41: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

4.1.1 Population densityDensity was estimated from the number of active burrows across the beach. Although

dispersion patterns were examined, no account was taken of environmental gradients across

beaches, such as in moisture, (Shuchman and Warburg, 1978), exposure, (Quijon et al, 2001)

and sand packing, (Hughes, 1966).

A kruskal-wallace test was used to compare the medians of densities recorded in specified

beach zones, found to be non-normally distributed with a kolmogorov-smirnov test,

(P<0.05). The number of ghost crabs on Beach A was then estimated using the average.

4.1.2 Crab activityChi squared test goodness of fit tests were used on analyses examining the frequencies of

crabs. Tests were conducted using a Yates correction and only carried out when expected

values were 5 or greater.

4.2 Dispersion pattern of Ocypode burrowsEvans, (1952) suggests that different tests for non-randomness can under certain

circumstances give conflicting results, such as those described by Grieg-Smith, (1983).

Therefore more than one test of non-randomness should always be used, with further tests

then carried out as needed, (Ludwig and Reynolds, 1988).

4.2.1 Frequency distributions among quadratsOne can compare the frequency distribution of burrows amongst quadrats to that expected

of a Poisson distribution, i.e. the null hypothesis, complete spatial randomness, (CSR). If

random, the mean to variance ratio should approximate one, (1 ≈ S2 / ). Significant

deviations suggesting non-randomness, (the alternate hypothesis), were tested by

Page 42: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

calculating the index of dispersion ID, which is approximately distributed as 2. The critical

limits used were, 0.95 and 0.05, and degrees of freedom, n-1, (Southwood and Henderson,

2000)

Where:

is the number of events at i= 0, 1, 2, 3, 4, 5 burrows 1m-2

f is frequency and n is the sample size is the mean

SE is the standard error

The second method is to calculate expected frequencies according to a Poisson distribution

and use a Chi square goodness of fit to test for a significant deviation from observed (O)

distributions. A Poisson is particularly applicable if the density per quadrat is low as was

found in this study, (Kenneth and Looney, 1985).

The chi square value was calculated using:

Where expected frequencies (E) =

For transect 1, complete mapping allows such analyses to be carried out on contiguous

quadrats, (Dale, 1999). Such an analysis is very valuable to a study on a point pattern, (Dale,

1999; Diggle, 2005) and the area fully mapped in the other transects was calculated by

plotting circles centred on each primary burrow with the radius stretching as far as the fifth nearest

Page 43: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

neighbour. Caution must be taken however as individuals rather than quadrats were selected

randomly and gaps are likely to be under-sampled if burrows were severely aggregated. Therefore

transect 1a was compared with 1 for differences which would suggest this method had a bias.

4.2.2 Nearest Neighbour AnalysisTo analyse the degree of a spatial pattern at different scales, one can plot mean square

variance against quadrat (block) size to identify scales where aggregation or regularity is

occurring, (Kenneth and Kershaw, 1973; Dale, 1999). Only in transect 1 would such an

ANOVA be possible however. Ideally such analyses should be used on multiple samples to

see if the observed pattern was a chance occurrence, (Kenneth and Looney, 1985). Nearest

neighbour analyses form a useful alternative, commonly used in studies short of time and

manpower, (Clark and Evans, 1954; Dale, 1999) and are particularly useful to studies upon

burrowing animals, (Hairston, 1959). Whether consistencies with the above analyses occur

can also be examined, (Southwood and Henderson, 2000).

For this study Thompson’s statistic, was used, (Thompson, 1956), an extension of Clark and

Evans, (1954). This enables the dispersion pattern to be perceived over a larger area, as well

as more accurately, (Southwood and Henderson, 2000). This analyses was valid as the

density was measured directly for the entire transect and the requirements of “individuals in

a continuum”, (Pielou, 1969) was considered fulfilled. Due to small sample sizes, (>30), the

correction factor suggested by Clark and Evans, (1954) was used, (n-1).

Page 44: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

4.3 The relationship between crab size and distance to neighboursSpace can be viewed as a resource and if limited become the object of competitive

interactions, (Lighter, 1977). A regular dispersion would indicate that Ocypode individuals

are maintaining a distance between each other, due to negative interactions such as

territorial behaviour. If the distance between borrows depends on the size of the burrows

in question, this might indicate …….a despotic ideal distribution REFERNCE?

4.3.1 Size of burrow effect on nearest neighbourFor each transect, regressions were conducted on size of burrow and distance to nearest

neighbours. A kolmogorov-smirnov test found the data to be non-normal, (P<0.05). From a

variety of transformations, a log transformation yielded the smallest K-S value and the

largest probability that data does not deviate from a normal distribution. This result was

therefore used. However, given that two transects had skewed as opposed to normal

distributions, results should be treated with caution.

To take into account the impact of neighbour’s size, a second regression was done on

average size of a burrow and nearest neighbour and the distance between them. Although

again the residuals of two transects were non-normally distributed, according to a K-S test,

(P>0.05), transformations did not improve normality and were subsequently not used. Both

regressions were also conducted on the collated data from transects 2, 3 and 4 as these had

similar densities and dispersions.

Finally the mean distance to the first three nearest neighbours was found for juveniles and

adults and compared using a student’s t-test to see if adults have statistically greater

Page 45: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

individual spacing even if nearest neighbour distances did not increase linearly with size of

crab.

4.4 Dispersion of different juveniles and adultsA final analysis was also conducted separately on the dispersion of small, (>2.0cm), medium,

(2.0 to 3.99cm) and large individuals, (3.0 to 3.99cm). This was achieved using the mapped

transect and comparing their distribution amongst quadrats to a Poisson distribution using a

goodness of fit. Data from all transects were also combined in a test for ‘segregation’,

(Pielou, 1961), between juveniles and adults. The procedure used is usually one to test for

association between two species and in this case compared the observed frequencies of

nearest neighbor pairings of juveniles and adults to the expected when the null hypothesis

of independence is assumed, (Waite, 2000), in a typical chi square contingency table.

Pielou’s coefficient of segregation was also found (S), where 1 indicates complete

segregation between juveniles and adults, 0 un-segregated and -1 that pairings between

species/types occur in isolated pairs (full association):

5. Results

5.1 Beach morphologyThe beach was generally divided into zones of berms which are deposits of beach material

forming the active shoreline at high tide, or by storms. These are separated by flats, although

Page 46: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

there were differences in the position and width of these, as well as differences in height

from sea level, Figure 5.1. The high tide mark was indicated by the third berm, however the

HTSM, and thus the upper intertidal zone was unknown, but likely to be indicated by the

second berm, (Short, 1996). The width of the foreshore varied with the tides and along the

beach, between 4 and 10m, and the backshore varied between 35.5 and 38.5m.

Figure 5.1: Cross sections, (a), and aerial view of transects, (b), showing slopes and berms. Transects 2, 3 and 4 were measured up to the HWM (the highest point of the swash zone or foreshore, as shown by a steeper slope and blue).

a)

Transect 1 did not reach the HWM

Transect 2 Transect 1Transect 4 Transect 3

HWM and maximum limit of swash

Page 47: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

5.2 Population DistributionThe nearest neighbor method recorded around half of the total transect areas and burrows,

suggesting results should amply represent the total transect, table 5.1. The population

distribution of burrows between transects are not identical but do show similarities, (figure

5.2). Although transect 1 lacks data for crabs near the H.W.M., which according to a linear

relationship found by Drabik-Hamshare, (2010) is likely to have mostly juveniles, a bimodal

shape is apparent in each transect. A large peak is observed in the number of crabs

approximating 1-2cm in carapace length, (which tended to be unpigmented) and a smaller,

less consistent peak in mature crabs approximating 3-5cm. The proportion of non-sexually

Distance from top of transects/beach (m)

Transect 1

Transect 2

Transect 3

Transect 4

b)

HWM

HWM

HWM

HWM

Page 48: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

mature crabs and sexually mature crabs, table 5.1, was significantly different between

transects, (X2cal= 21.31 > X2

tab=16.27, P=0.001, d.f= 3, Chi square test of independence).

Table 5.1 Percentage of transects sampled and juvenile/ adult ratio

% of burrows sampled

% transects mapped

Juvenile/ adult ratio

Transect 1 100% 100% 2.8

Transect 2 47% 55% 1.3

Transect 3 59% 46% 1.6

Transect 4 53% 56% 4.0

Figure 5.2 Relative population distributions of Ocypode crabs (O. ceratopthalama and O. cordimana combined) determined indirectly from maximum burrow diameters

Page 49: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

5.3 Density of burrowsOverall, density appears to increase along the beach, figure 5.3. This is very slight for the first

three transects, from 0.60 to 0.67 crab m-2, but sharply increases at transect 1 at 0.95 crab

m-2, table 5.2. Although density was not measured here up until the HWM, higher densities

were consistent along the first 20m that were measured. The use of differing methods

necessitates caution when comparing densities, however despite perhaps more detailed

burrow counts in the first transect, (counts per quadrat rather than counts per zone), higher

Freq

uenc

y (%

)

Maximum burrow diameter (cm)

Page 50: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

densities did seem apparent in the field on transect 1 and burrows were easy enough to spot

in both methods.

Table 5.2 Active burrow (crab ) density of both Ocypode ceratophthalma and Ocypode cordimana on four transects

Transect area (m2)

No. burrows Density(number of

burrows per m2)Inside transect Outside transect*

Transect 1 200 190 0 0.950Transect 2 385 91 33 0.665Transect 3 355 113 21 0.647Transect 4 360 101 33 0.597

* Neighbours found outside transect

Figure 5.3 Changes in density of Ocypode burrows along the approximately 680m beach

5.4 Population estimateThe use of burrows has been shown to be an accurate estimation of density and population

of Ocypode crabs, (Warren, 1990; Barrass, 1963; Buffer and Bird 2002; Barros, 2001). If the

average backshore width is used to estimate the area covered by the population, (24820m2),

then the estimated population size is 17,740 Ocypode individuals based on the average

density of 0.7418 burrows m-2. However the standard error is high, (±3946 crabs, P=0.05)

and unlikely to be a good estimate, given the change in density along the beach. Overall it is

Page 51: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

clear however that on beach A alone, the ghost crabs numbered in their thousands, although

it is unclear if one species predominated. A daily mark capture release on foraging adult O.

ceratophthalma failed to provide a estimate of their numbers due to high immigration and

emigration rates and of a total of 80 caught, only 7 were re-catches, (see Drabik-Hamshare,

2010).

5.5 Zonal distributionDensities changes were therefore examined in the mapped transect, (1) figure 5.4. No clear

increase or decrease along the beaches cross-section is observed, although density was

highest either side of the upper berm.

The density in different zones (berms and flats) also did not consistently increase or decrease

towards the sea, with different patterns seen between transects. The variation within zones

was also larger than that between zones, figure 5.5. A kruskal-wallis test accordingly found

no significance between the median densities of each zone, (X2cal= 2.78< X2

tab= 9.49, P=0.05),

although as zones were at different heights and distance from the sea their affect on

abundance may have been confounded.

Figure 5.4 Density of Ocypode crabs per m2 across beach cross section to illustrate zonal distribution

Page 52: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Figure 5.5 Differences in median density of Ocypode burrows between beach zones and interquartile range

5.6 Burrows types

Burrow type did not appear to be associated with a given distance from the sea as expected,

figure 5.6, with large variation found between transects. Vertical burrows were the only type

H.W.M.

Page 53: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

found at <22m from the H.W.M. 9% of burrows were coiled, but only 80% of these

appeared to be dug by mature crabs (>30mm burrow diameter). The ratio of right or left

turning coiled burrows did not differ significantly from 1:1, (X2=0.681, <0.05, chi square

goodness of fit), similarly to the 1:1 ratio found in caught individuals, (See Drabik-Hamshare,

2010). Sloping burrows were dug both by juveniles (60%) and mature crabs, (40%) whilst

vertical burrows were mostly dug by small juveniles, (84% >2cm in width).

Figure 5.6 Frequencies of burrow types at different distances from the H.T.M expressed as fractions of total with standard deviation showing large variation between transects

Freq

uenc

y of

bur

row

s(e

xpre

ssed

as f

racti

on o

f tot

al)

Distance from H.T.M

Coiled burrows

Sloped burrows

Vertical burrows

Page 54: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

5.7 Crab activityOverall twice as many mature O. ceratophthalma than O. cordimana were observed active

during the day, (see table 5.3 for significant daily differences), with unidentified juveniles

always seen in low numbers, mostly due to their crypsis and tendency to remain near

burrows. Juveniles appeared to be more diurnal than adults, peaking around 3:00. Mature

Ocypode were mostly nocturnal; O. cordimana activity peaked later than mature O.

ceratophthalma, around dusk, and at night was seen in large numbers particularly inland. O.

ceratophthalma activity gradually peaked earlier from 16:15 to 14:15 in both the beach and

the transition where their burrows did not reach, possibly relating to the shifting high-tide,

(see appendix 7.7 for daily totals and tidal changes). Very few juveniles or mature O.

cordimana were observed in the transition zone, figures 5.8 and 5.9, although many O.

cordimana were observed there later at night. In O. ceratophthalma however, no significant

difference in numbers were observed between the two zones2, figure 5.8, and the overall

difference between O. cordimana and O. ceratophthalma was not significant on the beach,

figure 5.7, (X2= 0.0105, P<0.05, chi square goodness of fit). Daily variations appeared to be

affected by weather as cloudy days coincided with peak activity. The 3 rd day was a full moon;

and unusually low numbers of mature Ocypode in the evening occurred although this was

likely a factor of heavy rain.

Table 5.3 Total recorded crabs each day and significant difference between using Chi squared test for goodness of fit

Day 1 Day 2 Day 3

Day 4 Day 5 Day 6 Day 7 Total

2 Chi square goodness of fit only possible on data collected 4:15 onwards due to low expected frequencies, (>5), however at times tested, P<0.05, (see appendix, 7.10).

Page 55: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Observed

O. ceratophthalma 81 126 42 132 128 206 144 859O. cordimana 46 112 23 39 50 76 52 398

Expected same for both species (1:1 ratio)

63.5 119 32.5 85.5 89.0 141.0 98 628.5

X2 Chi Square 9.65** 0.83 5.57* 50.58*** 34.19*** 59.93*** 43.18*** -

*P=0.05, **P=0.01, ***P=0.001

Figure 5.7 Average activity recorded during the day for O. ceratophthalma and O. cordimana on the beach

Figure 5.8 Average activity recorded during the day for O. ceratophthalma and O. cordimana in the transition zone

Figure 5.9 Average activity recorded during the day for juvenile Ocypode in both the beach and transition zone

Page 56: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

5.8 Dispersion pattern: using frequencies in quadratsTransects maps are shown in colour plate 5.10. Maps f) and g) show the quadrats fully

mapped using the nearest neighbor method. The densities calculated from these quadrat

samples were found to be very different to the actual densities measured, Table 5.4. This is

the opposite to the expected inflation of densities under the identified potential bias of

quadrats selection. As a different result is concluded when the mapped data from transect 1

is sampled and mapped quadrats found under the nearest neighbor method, (transect 1a);

that the quadrat data is indeed biased, even if not in the way expected seems likely. This

combined with the slight error in plotting coordinates by triangulation of angles, (Mosby,

1969), means that only transect 1 where contiguous quadrats were mapped is considered

reliable although the others are nonetheless indicated below. Although the use of nearest

neighbour data mapping by triangulation to extract quadrat frequency data potentially

forms a way of quickly collecting data for a usually laborious point pattern analysis, it seems

that due to non random quadrat selection, this method may only prove useful in allowing a

map of samples to be constructed, 5.10 a) to e).

Page 57: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Similar to Pielou’s (1959) hypothetical dispersion pattern, the measured dispersion patterns

differ between the two dispersion methods, demonstrating the need for a nearest neighbor

analysis of dispersion. Even so transect 1 which is considered reliable is indicated by the

index of dispersion, table 5.5, and the Poisson goodness of fit, table 5.6, (in bold), to be

significantly regular, (P=0.05 and P<0.005 respectively), and the deviation from CSR is

demonstrated seen in figure 5.10a.

Table 5.4 Number of both Ocypode ceratophthalma and Ocypode cordimana burrows in quadrats

Transect No. of burrows (in

quadrat sample)

Number of fully mapped 1m2 quadrats

sample density (burrows 1m -2)

Actual density

(burrows 1m -2)

Inside transect

Outside transect

1 190 200 0 - 0.9501a 55 47 1 1.146 0.9502 78 159 50 0.373 0.6653 65 139 18 0.414 0.6474 88 179 53 0.379 0.597

Table 5.5 Index of dispersion for Ocypode burrows across four transects.

Transect

Variance (S2)

Mean ( )

Variance to mean ratio (S2 / )

Index of dispersion (ID)

Degrees of freedom (n-1)*

tabulated 2 when p= 0.05

tabulated 2 when p= 0.95

Distribution

1 1.143 0.95 1.203 239.47 189 232.91 167.36 Regular

1a 1.000 1.146 0.872 41 47 64.00 32.27 Random

2 0.422 0.277 1.523 284.80 208 219.91 156.37 Regular

3 0.334 0.411 0.812 141.34 156 205.78 144.49 Clumped

4 0.425 0.361 1.178 273.19 231 268.53 197.74 Regular

* Note, n is the total no. of samples (quadrats) whether inside or outside desingated quadrat areas.

Page 58: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Frequency of quadrats

a) Transect 1 b) Transect 2

c) Transect 3 d) Transect 44

Number of burrows in 1m2 quadrats

Table 5.6 Goodness of fit test for observed burrow distribution among quadrats compared to that expected under a Poisson distribution.

Degrees of freedom

(categories)

No. of quadrats

Calculated 2 Probability level (p)

Distribution

Transect 1 2 200 10.5690 0.005 RegularTransect 1a 1 55 1.41642 0.234 RandomTransect 2 1 78 0.40928 0.522 RandomTransect 3 1 65 1.20023 0.273 RandomTransect 4 1 88 0.890838 0.345 Random

Figure 5. 10 Frequency distribution of burrows in 1m2 quadrats (dark gray bars) compared to expected following a Poisson (or random) distribution, (light gray line).

5.9 Dispersion of Ocypode burrows: using nearest neighbour distances

Page 59: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Maps of the nearest neighbor clusters are shown in 5.10, a) to e). The nearest neighbor

analysis, shows that dispersion did differ at different scales. At a fine scale, of the first

nearest neighbor distance (average 82cm), the burrows were significantly regular, in

agreement with the results above (transect 1), suggesting the quadrat size chosen was the

correct size for the density of burrows encountered, (Dale, 1999). At a greater scale, of the

second nearest neighbor, on average 119cm away, and of the third nearest neighbor, on

average 147cm away, the burrows tend towards a significantly clumped distribution, table

5.7.

Table 5.7: Distribution based on extension of Clark and Evans, (1954) nearest neighbour analysis,

(Thompson, 1956)

Scale of 1st nearest neighbour Scale of 2nd nearest neighbour Scale of 3rd nearest neighbourR1 Critical

limitsDistribution R2 Critical

limitsDistribution R3 Critical

limitsDistribution

Transect 1a

1.235 >1.209,P=0.05

Regular 1.167 >1.145, P=0.05

Regular 1.115 <1.118 >0.882, p=0.05

Random

Transect 2

1.254 >1.224, P=0.05

Regular 0.800 <0.845, P=0.05

Clumped 0.794 <0.845, P=0.01

Clumped

Transect 3

1.333 >1.275, P=0.05

Regular 0.816 <0.848, P=0.05

Clumped 0.821 <0.845, P=0.01

Clumped

Transect 4

1.363 >1.275, P=0.05

Regular 0.749 <0.749, P=0.01

Clumped 0.749 <0.845, P=0.01

Clumped

5.10 Dispersion pattern of different size categories and mature malesAlthough burrows collectively were dispersed regularly, when separate size categories were

examined, the distribution of small burrows in quadrats (>2.0cm) did not significantly deviate from

expected assuming CSR, whilst burrows 3.0cm or larger did significantly deviate from CSR with more

burrows clumping than expected, table 5.8 and figure 5.10b. The observed frequencies of nearest

neighbour pairings between juveniles and adults were fewer than the expected frequencies under

Page 60: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

the null hypothesis of independence, table 5.9, suggesting segregation between juveniles and adults,

(S=0.722). However this difference was not significant, (X2cal= 0.722 < X2tab = 3.84, P=0.05) and

therefore the null hypothesis was accepted.

Table 5.8 Dispersion pattern of burrows in three size categories using Poisson goodness of fit testDegrees of freedom

No. of burrows

Calculated X2 Probability level

Dispersion

small (>2.0cm)

1 106 1.819 0.177 Random

medium (2.0 to 3.99 cm)

1 37 4.0382 0.044 Clumped

large (>4.00 cm)

1 47 8.1194 0.004 Clumped

Table 5.9 Goodness of fit test for segregation between juveniles and adults (S= Pielou’s coefficient of segregation).A= juveniles B= adults

observed

Expected chi square relative freq assuming A and B occur independently of each

other

AA 41 38.54 0.0555 A 0.602151AB 15 17.46 0.6865 B 0.397849BA 23 25.46 0.4708 A' 0.688172BB 14 11.54 0.1854 B' 0.311828

Total 93 93 1.3982 S= 0.722

Unfortunately only 2-3 of the burrows sampled in trasnsects 2-4 and 13 out of 190 burrows on

transect 1 were coiled. Therefore a separate analysis of the dispersion of these was not possible,

despite the potentially clumped distribition of half the burrows, occurring in one area near the

H.W.M on transect 1, figure 5.10. However as some coiled burrows, (section 5.6), and many oval

shaped burrows were dug by crabs smaller than 30mm, using these featrues to identify ‘copulation’

burrows does not seem reliable. Evidence of a nearby pyramid is likely to be the best indicator of

sexually mature males, however identifying the associated burrow is difficult due to the distance

between. Nearby burrows to pyramids are nonetheless shown in green, figure 5.10.

Page 61: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Figure 5.10 Position of coiled burrows (in red) amongst the rest of the population, (blue)

5.13 Impact of burrow and therefore crab size upon distance to nearest neighbours

Despite the finding that crabs were digging burrows in a regular distribution, suggesting negative

interactions, crab size, (measured as burrow diameter) did not appear to have an effect on individual

spacing, table 5.9. This lack of correlation was clear, figure 1.10, and despite the invalidation of

normality in transects 1 and 4, it is believed this result is reliable considering the clear lack of

correlation depicted in plotted data, figure 1.10.

Table 5.9 Effect of log burrow size on log average distance to three nearest neighbours

Page 62: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Regression results Normality plot

K-S test results log burrow

diameterlog av. Distance to

NNTransect 1

**F1,22= 0.45, P=0.510

skewed P>0.150 P>0.150

Transect 2

*F1,19= 0.12, P=0.736

normal P<0.010 P>0.150

Transect 3

*F1,22= 0.00, P=0.944

normal P<0.010 P>0.150

Transect 4

**F1,22= 0.84, P=0.368

skewed P<0.030 P>0.150

Combined

*F1,91=0.17, P=0.685 normal p<0.010 P>0.150

Figure 5.10 Example of lack of correlation between log burrow size and log average distance to nearest neighbours, (see appendix for other transects)

Even if the size of the nearest neighbour was taken into account, no effect of size of burrows was

found upon distance between them, table 5.9. Although two transects showed higher F values,

(transects 3 and 4), they each suggested opposing correlations, figure 5.12. Lastly, when burrows

were divided into immature and mature sizes, no difference in the mean distance to the first three

nearest neighbours were found, figure 5.11. The mean nearest neighbour distances of juveniles and

adults are shown in figure 5.12. No statistical difference was found, (T= -0.390, P=0.70, d.f=91).

Page 63: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana

Table 5.10 effect of combined burrow size of two neighbouring burrows on the distance between them

Regression results Assumptions of

normality met

K-S test results log average burrow

diametersDistance to NN

Transect 1 F1,22= 0.48, P=0.494 normal P=0.444 P>0.150Transect 2 F1,19= 0.06, P=0.811 skewed P<0.010 P=0.047Transect 3 F1,22= 3.31, P=0.082 normal P<0.010 P<0.010Transect 4 F1,22= 4.45, P=0.075 normal P<0.030 P=0.132Combined*

F1,91=0.01, P=0.918 skewed P=>0.150 P<0.010

*only transects 2,3 and 4 with similar densities and dispersion patterns

Figure 5.11 Interval Plots of mean distance to nearest neighbour for burrows dug my mature and immature crabs (burrows >30mm and 30mm or greater, respectively).

Figure 5.11 Combined burrow size of nearest neighbours against the distance between them.

Page 64: Dispersion, Spatial Behaviour and Burrows of the …people.w3.org/~dsr/sundaypm-sections1to5.docx · Web viewDispersion, Spatial Behaviour and Burrows of the ghost crabs Ocypode cordimana