beta0: Particular incomplete beta function
In Echinophoria/DEB_output: Dynamic Energy Budget exploration tools

Usage Author(s) References Examples

1	beta0(x0, x1)

Antonio Aguera. Danish Shellfish Center, DTU-aqua, Nykoebing Mors, Denmark

DEBlab, http://http://www.bio.vu.nl/thb/deb/deblab/

Kooijman SALM (2010) Dynamic Energy Budget theory for metabolic organisation, Third edn. Cambridge University Press, Cambridge, 509 pp.

Lika K, Kearney MR, Freitas V et al. (2011) The covariation method for estimating the parameters of the standard Dynamic Energy Budget model I: Philosophy and approach. Journal of Sea Research, 66, 270_277.

Lika K, Kearney MR, Kooijman SALM (2011) The covariation method for estimating the parameters of the standard Dynamic Energy Budget model II: Properties and preliminary patterns. Journal of Sea Research, 66, 278_288.

beta0(0.1, 0.2)

## The function is currently defined as
function (x0, x1) 
{
    x03 = x0^(1/3)
    x13 = x1^(1/3)
    a3 = sqrt(3)
    f1 = -3 * x13 + a3 * atan((1 + 2 * x13)/a3) - log(as.complex(x13 - 
        1)) + log(1 + x13 + x13^2)/2
    f0 = -3 * x03 + a3 * atan((1 + 2 * x03)/a3) - log(as.complex(x03 - 
        1)) + log(1 + x03 + x03^2)/2
    f = f1 - f0
    return(f)
  }