Table 7. Regulation of search mode.

The weights in each subspace were scanned from -6 to 6 weight units in steps of 0.4 with ${\displaystyle A=A_{min}}$ or ${\displaystyle A=A_{max}}$. The letter x means that the indicated search mode was present for at least one point in the subspace when ${\displaystyle A=A_{min}}$ and when ${\displaystyle A=A_{max}}$; the letters y and z mean that the mode was present only when ${\displaystyle A=A_{min}}$ or ${\displaystyle A=A_{max}}$, respectively. See Materials and methods for definitions of search modes. Control-point weights as defined by the theoretical relationship between weights and search scale (Equation 5) are shown in bold. Only the three-weight subspaces are sufficient for producing all three search modes and full coverage of the plane defined by reversal frequency and ${\displaystyle m_F}$ plane as shown in Figure 8.

Subspace	Cropping	Dwelling	Ranging	Coverage
${\mathit{h}}_{\mathcal{ℱ}}$${\displaystyle h_{\mathcal{ℱ}}}$		x		⋅ ⋅ ⋅
${\mathit{h}}_{\mathcal{ℛ}}$		x	x	⋅ ⋅ ⋅
${\mathit{w}}_{\mathcal{FF}}$		x	x	⋅ ⋅ ⋅
$w_{\mathcal{ℛ}\mathcal{ℛ}}$		x		. . .
$w_{\mathcal{ℛ}\mathcal{ℱ}}$		x		. . .
$w_{\mathcal{ℱ}\mathcal{ℛ}}$		x		. . .
${\mathit{h}}_{\mathcal{ℱ}}$, $w_{\mathcal{ℛ}\mathcal{ℛ}}$	y	x	x	. . .
${\mathit{h}}_{\mathcal{ℱ}}$, $w_{\mathcal{ℱ}\mathcal{ℛ}}$		x	x	. . .
${\mathit{h}}_{\mathcal{ℱ}}$, $w_{\mathcal{ℛ}\mathcal{ℱ}}$		x	x	. . .
${\mathit{h}}_{\mathcal{ℛ}}$, $w_{\mathcal{ℛ}\mathcal{ℛ}}$		x	x	. . .
${\mathit{h}}_{\mathcal{ℛ}}$, $w_{\mathcal{ℱ}\mathcal{ℛ}}$	x	x	x	. . .
${\mathit{h}}_{\mathcal{ℛ}}$, $w_{\mathcal{ℛ}\mathcal{ℱ}}$		x	x	. . .
${\mathit{w}}_{\mathcal{FF}}$, $w_{\mathcal{ℛ}\mathcal{ℱ}}$		x	x	. . .
${\mathit{w}}_{\mathcal{FF}}$, $w_{\mathcal{ℱ}\mathcal{ℛ}}$		x	x	. . .
${\mathit{w}}_{\mathcal{FF}}$, $w_{\mathcal{ℛ}\mathcal{ℛ}}$		x	x	. . .
${\mathit{h}}_{\mathcal{ℛ}}$, ${\mathit{w}}_{\mathcal{ℱ}\mathcal{ℱ}}$		x	x	. . .
${\mathit{h}}_{\mathcal{ℱ}}$, ${\mathit{h}}_{\mathcal{ℛ}}$		x	x	. . .
${\mathit{h}}_{\mathcal{ℱ}}$, ${\mathit{w}}_{\mathcal{ℱ}\mathcal{ℱ}}$		x	x	. . .
$w_{\mathcal{ℛ}\mathcal{ℛ}}$, $w_{\mathcal{ℱ}\mathcal{ℛ}}$	x	x		.......
$w_{\mathcal{ℛ}\mathcal{ℛ}}$, $w_{\mathcal{ℛ}\mathcal{ℱ}}$		y		. . .
$w_{\mathcal{ℱ}\mathcal{ℛ}}$, $w_{\mathcal{ℛ}\mathcal{ℱ}}$		x		.......
${\mathit{h}}_{\mathcal{ℱ}}$, $w_{\mathcal{ℛ}\mathcal{ℱ}}$, $w_{\mathcal{ℱ}\mathcal{ℛ}}$	x	x	x	.......
${\mathit{h}}_{\mathcal{ℛ}}$, $w_{\mathcal{ℛ}\mathcal{ℱ}}$, $w_{\mathcal{ℱ}\mathcal{ℛ}}$	x	x	x	.......
${\mathit{w}}_{\mathcal{FF}}$, $w_{\mathcal{ℛ}\mathcal{ℱ}}$, $w_{\mathcal{ℱ}\mathcal{ℛ}}$	x	x	x	.......
${\mathit{h}}_{\mathcal{ℱ}}$, $w_{\mathcal{ℛ}\mathcal{ℛ}}$, $w_{\mathcal{ℱ}\mathcal{ℛ}}$	x	x	x	.......
${\mathit{h}}_{\mathcal{ℛ}}$, $w_{\mathcal{ℛ}\mathcal{ℛ}}$, $w_{\mathcal{ℱ}\mathcal{ℛ}}$	x	x	x	.......
${\mathit{w}}_{\mathcal{FF}}$, $w_{\mathcal{ℛ}\mathcal{ℛ}}$, $w_{\mathcal{ℱ}\mathcal{ℛ}}$	x	x	x	.......
${\mathit{h}}_{\mathcal{ℱ}}$, $w_{\mathcal{ℛ}\mathcal{ℛ}}$, $w_{\mathcal{ℛ}\mathcal{ℱ}}$	x	x	x	.......
${\mathit{h}}_{\mathcal{ℛ}}$, $w_{\mathcal{ℛ}\mathcal{ℛ}}$, $w_{\mathcal{ℛ}\mathcal{ℱ}}$	z	x	x	.......
${\mathit{w}}_{\mathcal{FF}}$, $w_{\mathcal{ℛ}\mathcal{ℛ}}$, $w_{\mathcal{ℛ}\mathcal{ℱ}}$	x	x	x	.......
${\mathit{h}}_{\mathcal{ℱ}}$, ${\mathit{h}}_{\mathcal{ℛ}}$, $w_{\mathcal{ℱ}\mathcal{ℛ}}$	x	x	x	.......
${\mathit{h}}_{\mathcal{ℱ}}$, ${\mathit{h}}_{\mathcal{ℛ}}$, $w_{\mathcal{ℛ}\mathcal{ℛ}}$	x	x	x	.......
${\mathit{h}}_{\mathcal{ℱ}}$, ${\mathit{h}}_{\mathcal{ℛ}}$, $w_{\mathcal{ℛ}\mathcal{ℱ}}$	x	x	x	.......
${\mathit{h}}_{\mathcal{ℱ}}$, ${\mathit{w}}_{\mathcal{FF}}$, $w_{\mathcal{ℛ}\mathcal{ℛ}}$	x	x	x	.......
${\mathit{h}}_{\mathcal{ℱ}}$, ${\mathit{w}}_{\mathcal{FF}}$, $w_{\mathcal{ℱ}\mathcal{ℛ}}$		x	x	.......
${\mathit{h}}_{\mathcal{ℱ}}$, ${\mathit{w}}_{\mathcal{FF}}$, $w_{\mathcal{ℛ}\mathcal{ℱ}}$		x	x	.......
${\mathit{h}}_{\mathcal{ℛ}}$, ${\mathit{w}}_{\mathcal{FF}}$, $w_{\mathcal{ℱ}\mathcal{ℛ}}$	x	x	x	.......
${\mathit{h}}_{\mathcal{ℛ}}$, ${\mathit{w}}_{\mathcal{FF}}$, $w_{\mathcal{ℛ}\mathcal{ℱ}}$	x	x	x	.......
${\mathit{h}}_{\mathcal{ℛ}}$, ${\mathit{w}}_{\mathcal{FF}}$, $w_{\mathcal{ℛ}\mathcal{ℛ}}$	y	x	x	.......
${\mathit{h}}_{\mathcal{ℱ}}$, ${\mathit{h}}_{\mathcal{ℛ}}$, ${\mathit{w}}_{\mathcal{FF}}$	x	x	x	.......
$w_{\mathcal{ℛ}\mathcal{ℛ}}$, $w_{\mathcal{ℛ}\mathcal{ℱ}}$, $w_{\mathcal{ℱ}\mathcal{ℛ}}$	x	x		.......