Anthropomotron

Version 1.5

Welcome to Anthropomotron
Please select an option from the menu to the left.
back Info

Stature

  • Choose a reference sample below to see what criteria are available. Scroll to the bottom to read about the chosen reference sample.
  • Adult Long Bone Length Method
  • years
back Info

Body Mass

  • Method:
  • Choose one of three methods of mass estimation from the menu above.
  • Femoral Head Diameter Method:
  • mm
  • Estimated Body Mass:

  • Confidence Interval:

  • Technique:

    Ruff and colleagues describe the measurement as the "superoinferor breadth of the femoral head," (2012:604).


  • Sources:

    This page uses sources from Ruff et al. (1991), Auerbach and Ruff (2004), and Ruff et al. (2012).

  • Stature and Bi-Iliac Breadth Method:
  • cm
  • cm
  • Estimated Body Mass:

  • Technique:

    Bi-iliac breadth is the maximum mediolateral breadth (Ruff 2007).


  • Sources:

    This page uses sources from Ruff et al. (2005).

  • Femoral Metaphysis Breadth Method (Subadults):
  • mm
  • Log-Transform
  • years
  • Estimated Body Mass:

  • Confidence Interval:

  • Technique:

    Use "the maximum mediolateral breadth of the distal metaphyseal surface of the femoral diaphysis... [t]aken between the most medially and laterally projecting points on the metaphyseal surface, close to but not necessarily perpendicular to the long axis of the shaft," (Ruff et al., 2007:699)


  • Sources:

    This page uses sources from Ruff (2007) and Robbins Schug et al. (2013).

  • Femoral Head Breadth Method (Subadults):
  • mm
  • Log-Transform
  • years
  • Estimated Body Mass:

  • Confidence Interval:

  • Technique:

    The maximum superioinferior femoral head breadth was used "perpendicular to the femoral head-neck axis," (Ruff et al., 2007:699).

  • Sources:

    This page uses sources from Ruff (2007) and Robbins Schug et al. (2013).

  • Bi-Iliac Breadth and Long Bone Length Method (Mid-Teens):
  • mm
  • mm
  • Estimated Body Mass:

  • Technique:

    Bi-iliac breadth is the maximum mediolateral breadth (Ruff 2007). Long bone lengths are the macimum, including the epiphyses.


  • Sources:

    This page uses sources from Ruff (2007).

  • Femoral Second Moments of Area (J) (Subadults):
  • mm4
  • mm
  • mm
  • mm
  • mm4
  • mm4
  • years
  • Estimated Body Mass:

  • Technique:

    Measurements were taken at 45.5% diaphyseal length (Robbins et al., 2010)

  • Sources:

    This page uses sources from Robbins et al. (2010) and Robbins Schug et al. (2013).

  • First Metatarsal Method:
  • mm
  • mm
  • Estimated Body Mass:

  • Prediction Interval:

  • Technique:

    The DPP is "the greatest dorsoplantar diameter with the arms of the calipers oriented parallel to the diaphysis" and the MLD is measured "on the plantar side of the head," (De Groote and Humphrey 2011:626-627)

  • Sources:

    This page uses sources from De Groote and Humphrey (2011).

back Info

MNI and MLNI

Back

About

Anthropomotron (Mobile/Web) version 1.5
Introduction
Welcome to Anthropomotron! I made this website/app to consolidate many of the anthropometric tools used in biological anthropology. This app wouldn't have been possible without the work of the many researchers cited on the Sources page. In adding their contributions to this app, there is the chance that I have made an error in programming. If you're using this app for a matter of serious importance it is a good idea to confirm the calculation with the original source, especially if the estimate is wildly off or too good to be true.
General Instructions
Choose the measurement you want to measure from the main screen (ie. stature, body mass, or MNI). Generally, move from the top of the page downward filling in values and choosing options as they appear. The estimate should automatically be calculated near the bottom of the page.

Change Log


1.5 Additions to Body Mass Estimation


Femoral Head


Juvenile Femoral Head
Juvenile Femoral Distal Metatarsal
Bi-Iliac Breadth and Sections
J
First Metatarsal

1.0.1 Fixed crash on startup in Android version


1.0 Initial Release

Acknowledgements
Besides the researchers whose work is used by this app, several others had a role in the development of Anthropomotron. Meg Halley introduced me to JQtouch, which started this whole thing. Derek Brillon and Shilo Bender were my Android beta testers. Bob Benfer provided valuable advise on all issues anthropological for over a decade and counting. Various researchers have offered me invaluable suggestions and support and I thank them all for seeing the potential in this project. Anthropomotron was made using Xcode, JQTouch, PhoneGap, Dreamweaver, and Eclipse.
By Keith Chan, Chantastisoft, 2012 - 2013.
I hope you find this app useful, interesting, and entertaining. Let me know if you have any comments, issues, suggestions, or umbrages at: chekeichan@gmail.com
Back

Sources

Adams BJ, Konigsberg LW. 2004. Estimation of the most likely number of individuals from commingled human skeletal remains. Am J Phys Anthropol. 125:138-151.


Auerbach BM, Ruff CB. 2004. Human body mass estimation: A comparison of "morphometric" and "mechanical" methods. Am J Phys Anthropol. 125:331-342.


del Angel A, Cisneros HB. 2004. Technical note: Modification of regression equatiions used to estimate stature in Mesoamerican skeletal remains. Am J Phys Anthropol. 125:264-265.


Genovés S. 1967. Proportionality of the long bones and their relation to stature among Mesoamericans. Am J Phys Anthropol. 26:67-78.


Grine FE, Jungers WL, Tobias PV, Pearson OM. 1995. Fossil Homo femur from Berg Aukas, northern Namibia. Am J Phys Anthropol. 97:151-85.


De Groote I, Humphrey LT. 2011. Body mass and stature estimation based on the first metatarsal in humans. Am J Phys Anthropol. 144:625-32.


Jantz RJ, Hunt DR, Meadows L. 1995. The measure and mismeasure of the tibia: Implications for stature estimation. J Forensic Sci. 40:758-761.


McHenry HM. 1992. Body size and proportions in early Hominids. Am J Phys Anthropol. 87:407-431.
Olivier G. 1976. The stature of Australopithecines. J Hum Evol. 5:529-534.


Ousley S. 1995. Should we estimate biological or forensic stature? J Forensic Sci. 40:768-773.


Robbins G, Sciulli PW, Blatt SH. 2010. Estimating body mass in subadult human skeletons. Am J Phys Anthropol. 143:146-50.


Robbins Schug G, Gupta S, Cowgill LW, Sciulli PW, Blatt SH. 2013. Panel regression formulas for estimating stature and body mass from immature human skeletons: a statistical approach without reference to specific age estimates. J Archaeol Sci. doi:10.1016/j.jas.2013.02.025.


Ruff C. 2007. Body size prediction from juvenile skeletal remains. Am J Phys Anthropol. 133:698-716.


Ruff CB, Holt BM, Niskanen M, Sladék V, Berner M, Garofalo E, Garvin HM, Hora M, Maijanen H, Niinimäki S, Salo K, Schuplerová E, Tompkins D. 2012. Stature and body mass estimation from skeletal remains in the European Holocene. Am J Phys Anthropol. 148:601-17.


Ruff CB, Niskanen M, Junno J, Jamison P. 2005. Body mass prediction from stature and bi-iliac breadth in two high latitude populations, with application to earlier higher latitude humans. J Hum Evol. 48:381-392.


Ruff CB, Scott WW, Liu AY. 1991. Articular and diaphyseal remodeling of the proximal femur with changes in body mass in adults. Am J Phys Anthropol. 86:397-413.


Ruff CB, Trinkaus E, Holliday TW. 1997. Body mass and encephalization in Pleistocene Homo. Nature. 387:173-176.


Sciulli PW, Giesen MJ. 1993. Brief communication: an update on stature estimation in prehistoric Native Americans of Ohio. Am J Phys Anthropol. 92:395-399.


Trotter M, Gleser GC. 1952. Estimation of stature from long bones of American Whites and Negroes. Am J Phys Anthropol. 10:463-514.


Trotter M, Gleser GC. 1958. A re-evaluation of estimation of stature based on measurements of stature taken during life and of long bones after death. Am J Phys Anthropol. 16:79-123.


Trotter M, Gleser GC. 1977. Corrigenda to "estimation of stature from long limb bones of American Whites and Negroes," American Journal Physical Anthropology (1952). Am J Phys Anthropol. 47:355-356.

Back

About

Estimation of stature from long bone lengths is one of the core tools in forensic anthropology. Choose one of the techniques from the Method menu.
Procedure for Using Adult Long Bone Length:
  1. Choose a comparative Reference Sample.
  2. Choose the Sex of the individual (options may change depending on the sample).
  3. Choose the most likely Ancestry of the individual
  4. Choose the Long Bone or bones you want to use to estimate stature. The spaces beneath this menu will change to reflect your selection.
  5. Fill in the measurements where indicated. Measurements are in centimeters.
  6. The estimated stature based on the criteria you chose will be displayed under Estimated Stature.
Additional Options:
  1. The methods based on the Trotter and Gleser and Ousley samples also produce ranges of estimated statures based on long bone length. You can choose among one to three sizes of the interval. Consult the original sources for what these intervals mean (and don't mean!).
  2. Trotter and Gleser also provided a means of adjusting the estimated stature based if an individual is over thirty years of age. Enter the Age in the given input field. Note that Ousley (1995:770) claims this correction is arbitrary.
The equations used to estimate stature from long bone length are as follows:

 

Stature Estimation from Long Bone Length
Trotter and Gleser (1952, 1958, 1977)    
Female - African    
Long Bone(s) Formula   Standard Error

Femur

(2.28)(Fe) + 59.76   3.41

Tibia

(2.45)(Ti) + 72.65   3.70
Fibula (2.49)(Fi) + 70.90   3.80
Humerus (3.08)(Hu) + 64.67   4.25
Radius (3.67)(Ra) + 71.79   4.59
Ulna (3.31)(Ul) + 75.38   4.83
Femur, Tibia, Humerus, and Radius (1.46)(Fe) + (0.86)(Ti) + (0.44)(Hu) - (0.20)(Ra) + 56.33   3.22
Femur and Tibia (Type 1) (1.53)(Fe) + (0.96)(Ti) + 58.54   3.23
Femur and Tibia (Type 2) (1.26)(Fe+Ti) + 59.72   3.28
Tibia and Humerus (1.79)(Ti) + (1.08)(Hu) + 62.80   3.58
       
Female - European    

Femur

(2.47)(Fe) + 54.10   3.72

Tibia

(2.90)(Ti) + 61.53   3.66
Fibula (2.93)(Fi) + 59.61   3.57
Humerus (3.36)(Hu) + 57.97   4.45
Radius (4.74)(Ra) + 54.93   4.24
Ulna (4.27)(Ul) + 57.76   4.30
Femur, Tibia, and Humerus (1.17)(Fe) + (1.15)(Ti) + (0.68)(Hu) + 50.12   3.51
Femur and Tibia (Type 1) (1.48)(Fe) + (1.28)(Ti) + 53.07   3.55
Femur and Tibia (Type 2) (1.39)(Fe + Ti) + 53.20   3.55
Tibia and Humerus (1.95)(Ti) + (1.35)(Hu)   3.67
       
Male - African    

Femur

(2.10)(Fe) + 72.22   3.91

Tibia

(2.19)(Ti) + 85.36   3.96
Fibula (2.34)(Fi) + 80.07   4.02
Humerus (2.88)(Hu) + 75.48   4.23
Radius (3.32)(Ra) + 85.43   4.57
Ulna (3.20)(Ul) + 82.77   4.74
Femur and Tibia (1.15)(Fe+Ti) + 71.75   3.68
Femur and Fibula (1.20)(Fe+Fi) + 67.77   3.63
Humerus and Ulna (1.65)(Hu+Ul ) +70.67   4.23
Humerus and Radius (1.66)(Hu+Ra) + 73.08   4.18
       
Male - European    

Femur

(2.32)(Fe) + 65.53   3.41

Tibia

(2.42)(Ti ) +81.93   4.00
Fibula (2.60)(Fi) + 75.50   3.86
Humerus (2.89)(Hu) + 78.10   4.57
Radius 3.79)(Ra) + 79.42   4.66
Ulna (3.76)(Ul) + 75.55   4.72
Femur and Tibia (1.26)(Fe+Ti) + 67.09   3.74
Femur and Fibula (1.31)(Fe+Fi) + 63.05   3.62
Humerus and Ulna (1.78)(Hu+Ul) + 66.98   4.37
Humerus and Radius (1.82)(Hu+Ra) + 67.97   4.31
       
Male - Asian    

Femur

(2.15)(Fe) + 72.57   3.80

Tibia

(2.39)(Ti) + 81.45   3.27
Fibula (2.40)(Fi) + 80.56   3.24
Humerus (2.68)(Hu) + 83.19   4.25
Radius (3.54)(Ra) + 82.00   4.60
Ulna (3.48)(Ul) + 77.45   4.66
Femur and Tibia (1.22)(Fe+Ti) + 70.37   3.24
Femur and Fibula (1.22)(Fe+Fi ) + 70.24   3.18
Humerus and Ulna (1.68)(Hu+Ul) + 71.18   4.14
Humerus and Radius (1.67)(Hu+Ra) + 74.83   4.16
       
Male - Mexican    

Femur

(2.44)(Fe) + 58.67   2.99

Tibia

(2.36)(Ti) + 80.62   3.73
Fibula (2.50)(Fi) + 75.44   3.52
Humerus (2.92)(Hu) + 73.94   4.24
Radius (3.55)(Ra) + 80.71   4.04
Ulna (3.56)(Ul) + 74.56   4.05
       

 

 

Stature Estimation from Long Bone Length
Olivier (1976)
Long Bones Formula

Femur, Tibia, and Humerus

(0.996)(Fe+Ti+Hu) + 48.8

Femur and Tibia

(1.31)(Fe+Ti) + 55.3

 

Stature Estimation from Long Bone Length
Sciulli and Giesen (1993)
Female
Long Bone(s) Formula

Femur

(2.28)(Fe) + 59.76
   
Male
Femur (2.443)(Fe) + 42.805
Tibia (2.680)(Ti) + 50.721

 

Stature Estimation from Long Bone Length (mm to inches)
Ousley (1995)    
Female - African    
Long Bone(s) Formula n 90% Prediction Interval

Femur

(0.11640)(Fe) + 11.98 18 2.4

 

     
Female - European    
Femur (0.11869)(Fe) + 12.43 48 2.4
Tibia (0.11168)(Ti) + 24.65 43 3.0
Humerus (0.11827)(Hu) + 28.30 45 3.1
Radius (0.18467)(Ra) + 22.42 38 3.4
Ulna (0.13353)(Ul) + 31.99 40 3.1
Femur and Tibia (0.06163)(Fe + Ti) + 15.43 42 2.4
Femur and Fibula (0.06524)(Fe + Fi) + 12.94 38 2.3
       
Male - African    

Femur

(0.08388)(Fe) + 28.57 17 4.0

Tibia

(0.10521)(Ti) + 26.26 19 3.8
Humerus (0.07824)(Hu) + 43.19 20 4.4
Ulna (0.16997)(Ul) + 21.20 14 3.3
       
Male - European    
Femur (0.10560)(Fe) + 19.39 69 2.8
Tibia (0.10140)(Ti) + 30.38 67 2.8
Humerus (0.12740)(Hu) + 26.79 66 3.3
Radius (0.16398)(Ra) + 28.35 59 3.3
Ulna (0.15890)(Ul) + 26.91 62 3.1
Femur and Tibia (0.05566)(Fe + Ti) + 21.64 62 2.5
Femur and Fibula (0.05552)(Fe + Fi) + 22.00 54 2.6

 

Stature Estimation from Long Bone Length
del Angel and Cisneros (2004)
Female
Long Bone(s) Formula n

Femur

(2.588)(Fe) + 47.25 29

Tibia

(2.720)(Ti) + 61.29 29
Fibula (2.988)(Fi) + 54.55 29
Humerus (4.160)(Hu) + 32.35 29
Radius (3.926)(Ra) + 66.88 29
Ulna (3.991)(Ul) + 58.72 29
     
Male    

Femur

(2.262)(Fe) + 63.89 69

Tibia

(1.958)(Ti) + 91.26 69
Fibula (1.919)(Fi) + 94.09 69
Humerus (2.505)(Hu) + 83.52 69
Radius (2.668)(Ra) + 98.22 69
Ulna (2.615)(Ul) + 94.80 69

 

Stature Estimation from Long Bone Length
Variable Abbreviation

Femur

Fe

Tibia

Ti
Fibula Fi
Humerus Hu
Radius Ra
Ulna Ul
Back

About

Several elements, or combinations of elements, can be used to estimate the body mass of an individual. The stability of the femoral head against response to external forces allow it to be a useful predictor of body mass (Ruff 1991). The bi-iliac breadth of the pelvis was also found to be correlated with body mass (Ruff et al., 1997). The previous version of Anthropomotron used formulae from Ruff et al. (1997). This version uses updated forumulae from Ruff et al. (2005). Ruff (2007) also provides various methods of estimating body mass for juveniles. Robbins and colleagues (2010) and Robbins Schug and colleagues (2013) created forumulae to estimate mass using the polar second moment of area of the femoral shaft (J) and made new ways to estimate body mass using the width of the distal femoral metaphysis and femoral head diameter. Use the Method menu to choose among the available types of body mass estimation.
Procedure for Using the Femoral Head Diameter:
  1. Choose the Sex of the individual.
  2. Choose the Reference Sample.
  3. Enter the Diameter of the femoral head in millimeters. The estimated body mass will be calculated automatically.
Procedure for Using Stature and Bi-Iliac Breadth:
  1. Choose the Sex of the individual.
  2. Under Bi-Iliac Breadth Type, choose whether you are entering the living or skeletal bi-iliac breadth.
  3. Enter the Bi-Iliac Breadth Measurement in centimeters.
  4. Enter the Stature in centimeters. The estimated body mass will be calculated automatically.
Procedure for Using Juvenile Femoral Head Breadth:
  1. Choose from two Techniques. Ruff (2007) requires an estimated age while Robbins Schug (2013) uses panel regression to remove that added step. Both techniques work on individuals from 7 to 17 years of age.
  2. Enter the femoral metaphysis Breadth measurement in centimeters.
  3. For the Ruff (2007) technique, choose whether you want the breadth to be Log-Transformed. Ruff (2007) recommends log-transforming the datum to produce an estimate with a slightly smaller error. Anthropomotron will automatically correct for detransformation bias using the quasimaximum likelihood estimator as Ruff suggested.
  4. For the Ruff (2007) technique, enter the Age in years (7 to 17).
  5. The estimated body mass will be calculated automatically when all of the data has been entered.
Procedure for Using Juvenile Femoral Metaphysis Breadth:
  1. Choose from two Techniques. Ruff (2007) requires an estimated age while Robbins Schug (2013) uses panel regression to remove that added step. The Robbins Schug et a. (2013) technique works on individuals from 6 months to 12.5 years of age.
  2. Enter the femoral metaphysis Breadth measurement in centimeters.
  3. Choose whether you want the breadth to be Log-Transformed. Ruff (2007) recommends log-transforming the datum to produce an estimate with a slightly smaller error. Anthropomotron will automatically correct for detransformation bias using the quasimaximum likelihood estimator as Ruff suggested.
  4. Enter the Age in years (1 to 13 for a transformed datum or 1 to 12 for a non-transformed datum).
  5. The estimated body mass will be calculated automatically when all of the data has been entered.
Procedure for Using the Juvenile Polar Second Moment of Area (J):
  1. Choose from two Techniques. Robbins et al. (2010) requires an estimated age while Robbins Schug (2013) uses panel regression to remove that added step. The Robbins Schug et a. (2013) technique works on individuals from 6 months to 12.5 years of age.
  2. Choose the Input Type. Both techniques calculate body mass using J, however you can enter the external diameter and either the cortical thickness or medullary diameter of the femoral diaphysis to have J calculated for you.
  3. Use the Bi-Iliac Breadth Type menu to choose whether the following datum is skeletal or living bi-iliac breadth.
  4. Enter the the necessary data according to the input type.
  5. If using the Robbins et al. (2010) technique, enter the age in years (between 0 and 17).
  6. Once all of the data have been chosen, the estimated body mass will automatically be calculated.
Procedure for Using Mid-Teen Long Bone Length and Bi-Iliac Breadth:
  1. Choose the estimated Sex of the individual.
  2. Choose the estimated Age of the individual.
  3. Use the Bi-Iliac Breadth Type menu to choose whether the following datum is skeletal or living bi-iliac breadth.
  4. Enter the value for Bi-Iliac Breadth Measurement in millimeters.
  5. Choose the appropriate Long Bone.
  6. Enter the Long Bone Length in millimeters.
  7. Once all of the data have been chosen, the estimated body mass will automatically be calculated
Procedure for Using the First Metatarsal:
  1. Choose the Input Type. Body mass can be calculated either from the proximal dorsiplantar diameter (DPP) or from both the DPP and the mediolateral diameter (MLD).
  2. Enter the DPP and MLD if necessary.
  3. Optionally, choose a Prediction Interval. The prediction interval is calculated by multiplying the correct t-value and the standard error of the estimate (SEE).
  4. Once all of the data have been chosen, the estimated body mass will automatically be calculated.
The equations used to estimate body mass are as follows:

 

Femoral Head Equations
Method n Equation
Ruff et al. (1991)    
Male 41 (0.9)((2.741)(FH) - 54.9)
Female 39 (0.9)((2.426)(FH) - 35.1)
Combined Sex 80 (0.9)((2.160)(FH) - 24.8)
McHenry (1992) 59 (2.239)(FH) - 39.9
Grine et al. (1995) 10* (2.268)(FH) - 36.5
Auerbach et al. (2004)   This formula averages the results of
Ruff et al. (1991), McHenry (1992), and
Grine et al. (1995) for combined sex samples.
Ruff et al. (2012)    
Male 624 (2.80)(FH) - 66.7
Female 521 (2.18)(FH) - 35.81
Combined Sex 1145 (2.30)(FH) - 41.72
     
*Sex-specific population means.

 

Stature and Bi-Iliac Breadth Equations (Ruff et al. 2005)
 
Method n Equation
Male 32 (0.422)(Stature) + (3.126)(BB) - 92.9
Female 26 (0.504)(Stature) + (1.804)(BB) - 72.6
Bi-Iliac Breath (BB)   (1.17)(SBB) - 3

 

Femoral Metaphysis Breadth Equations and Values (Ruff 2007)
Age Equation Log-
Transformed
Equation
Log-
Transformed
Mass Correction
Factor
n Mean SD SEE2 SEE2
(Log-Transformed)
1 0.188(FM) + 2.6 0.751 * ln(FM) - 0.45 1.003 20

34.3

6.76 0.423 0.410
2 0.268(FM) + 0.2 0.994 * ln(FM) - 1.28 1.001 20 42.5 6.76 0.656 0.314
3 0.257(FM) + 1.5 0.899 * ln(FM) - 0.86 1.002 20 47.1 5.76 0.828 0.423
4 0.328(FM) - 0.7 1.048 * ln(FM) - 1.35 1.002 19 49.4 6.76 1.166 1.040
5 0.367(FM) - 1.6 1.096 * ln(FM) - 1.47 1.002 19 51.3 6.76 1.166 1.188
6 0.367(FM) - 0.4 1.034 * ln(FM) - 1.16 1.002 18 53.7 6.76 1.742 1.742
7 0.419(FM) - 1.6 1.095 * ln(FM) - 1.33 1.003 18

55.7

7.84 1.904 2.045
8 0.414(FM) + 0.5 1.010 * ln(FM) - 0.90 1.004 18 57.5 9.61 5.198 5.382
9 0.694(FM) - 12.8 1.524 * ln(FM) - 2.89 1.010 20 59.9 9.00 19.714 17.057
10 0.992(FM) - 29.5 1.939 * ln(FM) - 4.55 1.012 20 61.9 8.41 28.730 25.200
11 0.938(FM) - 23.9 1.690 * ln(FM) - 3.46 1.016 20 63.8 8.41 46.786 41.603
12 1.351(FM) - 49.6 2.263 * ln(FM) - 5.82 1.015 20 66.0 6.76 54.464 48.581
13 -- 1.766 * ln(FM) - 3.67 1.019 20 57.9 9.00 -- 76.388
                 
Femoral Metaphysis Breadth Equations and Values (Robbins Schug et al. 2013)
Equation n
ln(Body Mass) = 13.0615 - 7.3338 * ln(FH) + 1.2058 * ln (FH)2 432

 

Juvenile Femoral Head Breadth Equations and Values (Ruff 2007)
Age Equation Log-
Transformed
Equation
Log-
Transformed
Mass Correction
Factor
n Mean SD SEE2 SEE2
(Log-Transformed)

7

0.495(FH) + 8.0 0.650(FH) + 0.92 1.002 18 27.9 7.29 1.823 1.988
8 0.606(FH) + 6.1 0.749(FH) + 0.64 1.003 18 30.1 7.84 3.842 4.040
9 1.155(FH) - 8.7 1.286(FH) - 1.12 1.006 20 324 8.41 12.390 10.498
10 1.279(FH) - 12.2 1.374(FH) - 1.41 1.009 20 34.5 8.41 22.373 19.536
11 1.626(FH) - 23.0 1.582(FH) - 2.11 1.011 20 36.2 8.41 31.472 27.878
12 1.850(FH) - 31.3 1.725(FH) - 2.62 1.009 20 38.3 9.61 31.923 28.196
13 1.830(FH) - 29.4 1.656(FH) - 2.35 1.014 20 40.4 9.61 61.466 54.908
14 1.438(FH) - 10.3 1.226(FH) - 0.68 1.011 20 41.8 8.41 60.063 55.354
15 NA NA   20 43.6 6.25 NA NA
16 NA 0.842(FH) + 0.88 1.009 20 44.5 7.84 NA 36.361
17 1.750(FH) - 17.2 1.327(FH) - 0.94 1.006 20 45.0 7.84 53.876 49.140
                 
Juvenile Femoral Head Breadth Equations and Values (Robbins Schug et al. 2013)
Equation n
ln(Body Mass) = 11.5770 - 6.2969 * ln(FH) + 1.1297 * ln (FH)2 378

 

Mid-Teen Long Bone Length and Bi-Iliac Breadth Width (Ruff 2007)
  Female Age (n = 10) Male Age (n = 10)
Long Bone 15 16 17 15 16 17

Humerus

0.350(BB) + 0.133(LB) - 84.1 0.390(BB) + 0.104(LB) - 88.0 0.308(BB) + 0.209(LB) - 91.3 0.289(BB) + 0.137(LB) - 66.5 0.394(BB) + 0.216(LB) - 119.4 0.308(BB) + 0.209(LB) - 91.3
Radius 0.343(BB) + 0.143(LB) -74.4 0.375(BB) + 0.135(LB) - 82.7 0.246(BB) + 0.270(LB) - 73.1 0.265(BB) + 0.174(LB) - 59.1 0.353(BB) + 0.292(LB) - 110.4 0.246(BB) + 0.270(LB) - 73.1
Femur 0.342(BB) + 0.063(LB) - 69.3 0.374(BB) + 0.055(LB) - 75.8 0.338(BB) + 0.051(LB) - 64.6 0.286(BB) + 0.102(LB) - 70.2 0.404(BB) + 0.168(LB) - 132.2 0.296(BB) + 0.153(LB) - 92.8
Tibia 0.355(BB) + 0.024(LB) - 53.8 0.374(BB) + 0.042(LB) - 66.6 0.370(BB) - 0.005(LB) - 48.7 0.282(BB) + 0.137(LB) - 75.4 0.374(BB) + 0.186(LB) - 118.6 0.234(BB) + 0.164(LB) - 68.0

 

Juvenile Femoral Second Moments of Area Equations (Robbins et al. 2010)
Age Equation Using J n
0 0.003(J) + 3.8 15
1 0.002(J) + 7.1 20
2 0.002(J) + 8.1 20
3 0.001(J) + 10.5 20
4 0.001(J) + 11.4 19
5 0.001(J) + 12.8 19
6 0.001(J) + 14.2 18
7 0.001(J) + 15.8 18
8 0.001(J) + 16.0 18
9 0.001(J) + 17.1 20
10 0.001(J) + 16.3 20
11 0.001(J) + 18.4 20
12 0.001(J) + 19.2 20
13 0.001(J) + 21.1 20
14 0.001(J) + 30.4 20
15 0.001(J) + 36.6 20
16 0.000(J) + 45.8 20
17 0.000(J) + 46.2 20
 
Juvenile Femoral Second Moments of Area Equation (Robbins Schug et al. 2013)
Equation n
ln(Body Mass) = 2.0683 - 0.3126 * ln(J) + 0.0477 * ln (J)2 432
 
Equations for Calculating J
J = (π/32) * (TD4 - (TD - CD)4)
J = (π/32) * (TD4 - MD4)
J = Imax + Imin

 

Variable Abbreviation
Femoral Head A-P Diameter FH
Femoral Metaphysis Breadth FM
Body Mass None
Stature None
Living Bi-Iliac Breadth BB
Skeletal Bi-Iliac Breadth SBB
External Diameter TD
Cortical Diameter CD
Medullary Diameter MD
Maximum Moment of Area Imax
Perpendicular Moment of Area Imin
Second Moments of Area J

 

Back

About

MNI (Minumim Number of Individuals) and MLNI (Most Likely Number of Individuals) techniques are used to estimate the number of individuals that constitute a skeletal collection. These methods are taken from Adams and Konigsberg (2004). L represents the bone elements from the left side, R represents the right, and P is the number of confirmed bone pairs found.
Adams and Konigsberg (2004) suggest that the MLNI should be used as a less biased alternative to standard NMI techniques. The original article advocates the calculation of highest density regions (HDR) to provide an estimated confidence interval. Unfortunately the calculation of HDRs is beyond the scope of this program. Visit http://konig.la.utk.edu/MLNI.html for the author's own automation of the MLNI.
Procedure:
  1. Enter the Number of Left Elements of a bone.
  2. Enter the Number of Right Elements of the same type of bone.
  3. Enter the Number of Element Pairs of the same type of bone.
  4. The four calculations will be presented in the region below.
If nothing is entered, the value will be calculated as zero.
Maximum (L,R): The greater number of a certain bone element on the left or right side.

L + R - P: The number of confirmed pairs subtracted from the number of unpaired bones on each side.

(L + R) /2 : The average number of right and left elements.

(L + 1)(R + 1) / (P + 1)) - 1: The MLNI adapts an estimator called the Lincoln Index (Chapman, 1951; Adams and Konigsberg, 2004). Only the integer of the solution is kept.